{"id":38508,"date":"2022-11-01T18:21:42","date_gmt":"2022-11-01T12:51:42","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=38508"},"modified":"2022-11-02T17:01:46","modified_gmt":"2022-11-02T11:31:46","slug":"big-ideas-math-algebra-2-answers-chapter-1","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/big-ideas-math-algebra-2-answers-chapter-1\/","title":{"rendered":"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions"},"content":{"rendered":"<p>Do you have any doubts regarding solving the linear functions? If our guess is correct, then this is the right page for you to complete your assignments in time. We provide <strong>Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions<\/strong> that help you to enhance your problem-solving skills in depth. Build self-confidence by Answering all your questions and clearing your complex doubts regarding Alegra 2 BIM Answer Key Chapter 1 Linear Functions topics. Improve your preparation by referring our<a href=\"https:\/\/ccssanswers.com\/big-ideas-math-algebra-2-answers\/\">\u00a0Big Ideas Math Algebra 2 Answers<\/a> that help the students to learn concepts in different methods.<\/p>\n<h2 class=\"entry-title\">Big Ideas Math Book Algebra 2 Answer Key Chapter 1 Linear Functions<\/h2>\n<p>The solutions seen in Big Ideas Math Book Algebra 2 Answer Key is prepared by math professionals in a very simple manner with explanations. With the help of BIM Algebra 2 Answer Key students can score good grades in any of their exams and can make you achieve what you are looking for but improving their subject knowledge. Before that we suggest you to check the list of the chapters covered in <em><strong>BIM Algebra 2 Answer Key Ch 1 Linear Functions.<\/strong><\/em> Big Ideas Math Book Algebra 2 Chapter 1 Solutions is the best guide for you to score well in exams. Just tap the links provided below and start solving the questions.<\/p>\n<ul>\n<li><a href=\"#Linear_Functions_Maintaining_Mathematical_Proficiency\">Linear Functions Maintaining Mathematical Proficiency &#8211; Page 1<\/a><\/li>\n<li><a href=\"#Linear_Functions_Maintaining_Mathematical_Practices\">Linear Functions Maintaining Mathematical Practices &#8211; Page 2<\/a><\/li>\n<li><a href=\"#Lesson_1.1_Parent_Functions_and_Transformations\">Lesson 1.1 Parent Functions and Transformations &#8211; Page (4-10)<\/a><\/li>\n<li><a href=\"#Parent_Functions_and_Transformations_1.1_Exercises\">Parent Functions and Transformations 1.1 Exercises &#8211; Page (8-10)<\/a><\/li>\n<li><a href=\"#Lesson_1.2_Transformations_of_Linear_and_Absolute_Value_Functions\">Lesson 1.2 Transformations of Linear and Absolute Value Functions<\/a> &#8211; Page (12-18)<\/li>\n<li><a href=\"#Transformations_of_Linear_and_Absolute_Value_Functions_1.2_Exercises\">Transformations of Linear and Absolute Value Functions 1.2 Exercises &#8211; Page (16-18)<\/a><\/li>\n<li><a href=\"#Linear_Functions_Study_Skills_Taking_Control_of_Your_Class_Time\">Linear Functions Study Skills Taking Control of Your Class Time &#8211; Page 19<\/a><\/li>\n<li><a href=\"#Linear_Functions_1.1-1.2_Quiz\">Linear Functions 1.1-1.2 Quiz &#8211; Page 20<\/a><\/li>\n<li><a href=\"#Lesson_1.3_Modeling_with_Linear_Functions\">Lesson 1.3 Modeling with Linear Functions &#8211; Page (22-28)<\/a><\/li>\n<li><a href=\"#Modeling_with_Linear_Functions_1.3_Exercises\">Modeling with Linear Functions 1.3 Exercises &#8211; Page (26-28)<\/a><\/li>\n<li><a href=\"#Lesson_1.4_Solving_Linear_Systems\">Lesson 1.4 Solving Linear Systems &#8211; Page (30-36)<\/a><\/li>\n<li><a href=\"#Solving_Linear_Systems_1.4_Exercises\">Solving Linear Systems 1.4 Exercises &#8211; Page (34-36)<\/a><\/li>\n<li><a href=\"#Linear_Functions_Performance_Task:_Secret_of_the_Hanging_Baskets\">Linear Functions Performance Task: Secret of the Hanging Baskets &#8211; Page 37<\/a><\/li>\n<li><a href=\"#Linear_Functions_Chapter_Review\">Linear Functions Chapter Review &#8211; Page (38-40)<\/a><\/li>\n<li><a href=\"#Linear_Functions_Chapter_Test\">Linear Functions Chapter Test &#8211; Page 41<\/a><\/li>\n<li><a href=\"#Linear_Functions_Cumulative_Assessment\">Linear Functions Cumulative Assessment &#8211; Page (42-43)<\/a><\/li>\n<\/ul>\n<h3><a id=\"Linear_Functions_Maintaining_Mathematical_Proficiency\"><\/a>Linear Functions Maintaining Mathematical Proficiency<\/h3>\n<p><strong>Evaluate.<\/strong><\/p>\n<p>Question 1.<br \/>\n5 \u2022 2<sup>3<\/sup> + 7<br \/>\nAnswer: 47<\/p>\n<p>Explanation:<br \/>\nGiven expression,<br \/>\n5 \u2022 2<sup>3<\/sup> + 7<br \/>\n= 5.8+7<br \/>\n= 40+7 = 47<br \/>\nSo, the expression 5 \u2022 2<sup>3<\/sup> + 7 = 47.<\/p>\n<p>Question 2.<br \/>\n4 &#8211; 2(3 + 2)\u00b2<br \/>\nAnswer: -46<\/p>\n<p>Explanation:<br \/>\nGiven expression,<br \/>\n4 &#8211; 2(3 + 2)<sup>2<br \/>\n<\/sup>= 4 \u2013 2 (25)<br \/>\n= 4 \u00a0&#8211; 2 (25)<br \/>\n= 4 \u2013 50<br \/>\n= &#8211; 46<br \/>\nSo, the expression = 4 &#8211; 2(3 + 2)\u00b2 = -46<\/p>\n<p>Question 3.<br \/>\n48 \u00f7 4<sup>2<\/sup> + \\(\\frac{3}{5}\\)<br \/>\nAnswer: 3.6<\/p>\n<p>Explanation:<br \/>\nGiven expression,<br \/>\n48 \u00f7 4<sup>2<\/sup> + \\(\\frac{3}{5}\\)<br \/>\n= 48 \u00f7 16 + \\(\\frac{3}{5}\\)<br \/>\n= 3 + \\(\\frac{3}{5}\\) = 3.6<br \/>\nSo, 48 \u00f7 4<sup>2<\/sup> + \\(\\frac{3}{5}\\) = 3.6<\/p>\n<p>Question 4.<br \/>\n50 \u00f7 5<sup>2<\/sup> \u2022 2<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\n50 \u00f7 5<sup>2<\/sup> \u2022 2<br \/>\n= 50 \u00f7 25 . 2<br \/>\n= 2 .2<br \/>\n= 4<br \/>\nSo, 50 \u00f7 5<sup>2<\/sup> \u2022 2 = 4<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{1}{2}\\)(2<sup>2<\/sup>+ 22)<br \/>\nAnswer: 13<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\n\\(\\frac{1}{2}\\)(2<sup>2<\/sup>+ 22)<br \/>\n\\(\\frac{1}{2}\\)(4+ 22)<br \/>\n\\(\\frac{1}{2}\\)(26) = 13<br \/>\nSo, \\(\\frac{1}{2}\\)(2<sup>2<\/sup>+ 22) is 13.<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{1}{6}\\)(6 + 18) &#8211; 2\u00b2<br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\n\\(\\frac{1}{6}\\)(6 + 18) &#8211; 2<sup>2<\/sup><br \/>\n\\(\\frac{1}{6}\\)(24) &#8211; 4<br \/>\n4 &#8211; 4 = 0<br \/>\nSo, \\(\\frac{1}{6}\\)(6 + 18) &#8211; 2\u00b2 = 0<\/p>\n<p><b>Graph the transformation of the figure.<\/b><\/p>\n<p>Question 7.<br \/>\nTranslate the rectangle 1 unit right and 4 units up.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38982\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1\" width=\"192\" height=\"186\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91877\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.png\" alt=\"Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1\" width=\"192\" height=\"186\" \/><br \/>\nWe have to draw a rectangle 1 unit right and 4 units up. So, start drawing the rectangle from the origin 0 to 3.<\/p>\n<p>Question 8.<br \/>\nReflect the triangle in the y-axis. Then translate 2 units left.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38983\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 2\" width=\"192\" height=\"182\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91879\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-2.png\" alt=\"Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-2\" width=\"192\" height=\"182\" \/><br \/>\nStart drawing the triangle 2 units left.<\/p>\n<p>Question 9.<br \/>\nTranslate the trapezoid 3 units down. Then reflect in the x-axis.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38984\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-3.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 3\" width=\"188\" height=\"182\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91878\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-3.png\" alt=\"Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-3\" width=\"188\" height=\"182\" \/><\/p>\n<p>Question 10.<br \/>\n<b>ABSTRACT REASONING <\/b>Give an example to show why the order of operations is important when evaluating a numerical expression. Is the order of transformations of figures important? Justify your answer.<br \/>\nAnswer:<br \/>\nThe\u00a0order of operations says the order\u00a0to solve steps in\u00a0expressions\u00a0with more than one\u00a0operation. First, we solve any\u00a0operations inside parentheses or brackets.<\/p>\n<p><strong>Linear Functions Maintaining Mathematical Practices<\/strong><\/p>\n<p><b>Monitoring Progress<\/b><\/p>\n<p><b>Use a graphing calculator to graph the equation using the standard viewing window and a square viewing window. Describe any differences in the graphs.<\/b><\/p>\n<p>Question 1.<br \/>\ny = 2x &#8211; 3<br \/>\nAnswer:<br \/>\nGiven equation is y = 2x &#8211; 3<br \/>\nWhen x = 0<br \/>\ny = 2(0) &#8211; 3 = -3<br \/>\ny = -3<br \/>\nx = 1<br \/>\ny = 2(1) &#8211; 3 = 2 &#8211; 3 = -1<br \/>\nx = 2<br \/>\ny = 2(2) &#8211; 3 = 1<br \/>\nx = 3<br \/>\ny = 2(3) &#8211; 3 = 6 &#8211; 3 = 3<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-186617\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-Maintaining-Mathematical-Practices_1-298x300.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions Maintaining Mathematical Practices_1\" width=\"298\" height=\"300\" \/><\/p>\n<p>Question 2.<br \/>\ny = | x + 2 |<br \/>\nAnswer:<br \/>\nGiven equation is y = | x + 2 |<br \/>\nx = -2<br \/>\ny = |-2 + 2| = 0<br \/>\nx = -1<br \/>\ny = |-1 + 2| = 1<br \/>\nx = 0<br \/>\ny = |0 + 2| = 2<br \/>\nx = 1<br \/>\ny = |1 + 2| = 3<br \/>\nx = 2<br \/>\ny = |2 + 2| = 4<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91880\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-Maintaining-Mathematical-Practices_2.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions Maintaining Mathematical Practices_2\" width=\"507\" height=\"317\" \/><\/p>\n<p>Question 3.<br \/>\ny = -x<sup>2<\/sup> + 1<br \/>\nAnswer:<br \/>\nGiven equation is y = -x<sup>2<\/sup> + 1<br \/>\nx = -1<br \/>\ny = -x<sup>2<\/sup> + 1<br \/>\ny = -1 + 1 = 0<br \/>\nx = 0<br \/>\ny = 0 + 1 = 1<br \/>\nx = 1<br \/>\ny = -1 + 1 = 0<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91881\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-Maintaining-Mathematical-Practices_3.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions Maintaining Mathematical Practices_3\" width=\"401\" height=\"460\" \/><\/p>\n<p>Question 4.<br \/>\ny = \\(\\sqrt{x-1}\\)<br \/>\nAnswer:<br \/>\nGiven equation is y = \\(\\sqrt{x-1}\\)<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91882\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-Maintaining-Mathematical-Practices_4.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions Maintaining Mathematical Practices_4\" width=\"561\" height=\"320\" \/><\/p>\n<p>Question 5.<br \/>\ny = x<sup>3<\/sup> &#8211; 2<br \/>\nAnswer:<br \/>\nGiven equation is y = x<sup>3<\/sup> &#8211; 2<br \/>\nx = 0<br \/>\ny = 0 &#8211; 2 = -2<br \/>\n(0, -2)<br \/>\nx = 1<br \/>\ny = 1 &#8211; 2 = -1<br \/>\n(1, -1)<br \/>\nx = -1<br \/>\ny = -1 &#8211; 2 = -3<br \/>\n(-1, -3)<br \/>\nx = 2<br \/>\ny = 2\u00b3 &#8211; 2<br \/>\ny = 8 &#8211; 2 = 6<br \/>\n(2, 6)<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91883\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-Maintaining-Mathematical-Practices_5.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions Maintaining Mathematical Practices_5\" width=\"244\" height=\"421\" \/><\/p>\n<p>Question 6.<br \/>\ny = 0.25x\u00b3<br \/>\nAnswer:<br \/>\nGiven equation is y = 0.25x\u00b3<br \/>\nx = -1<br \/>\ny = 0.25(-1)\u00b3<br \/>\ny = -0.25<br \/>\nx = 0<br \/>\ny = 0.25(0)<br \/>\ny = 0<br \/>\nx = 1<br \/>\ny = 0.25(1)\u00b3<br \/>\ny = 0.25<br \/>\nx = 2<br \/>\ny = 0.25(2)\u00b3<br \/>\ny = 0.25(8)<br \/>\ny = 2<br \/>\n(2, 2)<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91884\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-Maintaining-Mathematical-Practices_6.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions Maintaining Mathematical Practices_6\" width=\"234\" height=\"477\" \/><\/p>\n<p><b>Determine whether the viewing window is square. Explain.<\/b><\/p>\n<p>Question 7.<br \/>\n-8 \u2264 x \u2264 8, -2 \u2264 y \u2264 8<br \/>\nAnswer: Square<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\n-8 \u2264 x \u2264 8, -2 \u2264 y \u2264 8<br \/>\nThe total range of the X-axis is 16 units and the total range of the Y-axis is 10 units<br \/>\nThe ratio of the height to width of the viewing screen is \\(\\frac{10}{16}\\) = \\(\\frac{5}{8}\\)<br \/>\nSo, the ratio is 5:8.<br \/>\nHence the viewing window is square.<\/p>\n<p>Question 8.<br \/>\n-7 \u2264 x \u2264 8, -2 \u2264 y \u2264 8<br \/>\nAnswer: Square<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\n-7 \u2264 x \u2264 8, -2 \u2264 y \u2264 8<br \/>\nThe total range of the X-axis is 15 units and the total range of the Y-axis is 10 units<br \/>\nThe ratio of the height to width of the viewing screen is \\(\\frac{10}{15}\\) = \\(\\frac{2}{3}\\)<br \/>\nSo, the ratio is 2:3.<br \/>\nHence the viewing window is square.<\/p>\n<p>Question 9.<br \/>\n-6 \u2264 x \u2264 9, -2 \u2264 y \u2264 8<br \/>\nAnswer: Square<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\n-6 \u2264 x \u2264 9, -2 \u2264 y \u2264 8<br \/>\nThe total range of the X-axis is 15 units and the total range of the Y-axis is 10 units<br \/>\nThe ratio of the height to width of the viewing screen is \\(\\frac{10}{15}\\) = \\(\\frac{2}{3}\\)<br \/>\nSo, the ratio is 2:3.<br \/>\nThus the viewing window is square.<\/p>\n<p>Question 10.<br \/>\n-2 \u2264 x\u2264 2, -3 \u2264 y \u2264 3<br \/>\nAnswer: not a square<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\n-2 \u2264 x\u2264 2, -3 \u2264 y \u2264 3<br \/>\nThe total range of the X-axis is 4 units and the total range of the Y-axis is 6 units<br \/>\nThe ratio of the height to width of the viewing screen is \\(\\frac{6}{4}\\) = \\(\\frac{3}{2}\\)<br \/>\nSo, the ratio is 3:2.<br \/>\nThe viewing window is not a square.<\/p>\n<p>Question 11.<br \/>\n-4 \u2264 x \u2264 5, -3 \u2264 y \u2264 3<br \/>\nAnswer: square<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\n-4 \u2264 x \u2264 5, -3 \u2264 y \u2264 3<br \/>\nThe total range of the X-axis is 9 units and the total range of the Y-axis is 6 units<br \/>\nThe ratio of the height to width of the viewing screen is \\(\\frac{6}{9}\\) = \\(\\frac{2}{3}\\)<br \/>\nSo, the ratio is 2:3.<br \/>\nThe viewing window is a square.<\/p>\n<p>Question 12.<br \/>\n-4 \u2264 x \u2264 4, -3 \u2264 y \u2264 3<br \/>\nAnswer: square<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\n-4 \u2264 x \u2264 4, -3 \u2264 y \u2264 3<br \/>\nThe total range of the X-axis is 8 units and the total range of the Y-axis is 6 units<br \/>\nThe ratio of the height to width of the viewing screen is \\(\\frac{6}{8}\\) = \\(\\frac{2}{3}\\)<br \/>\nSo, the ratio is 2:3.<br \/>\nThe viewing window is a square.<\/p>\n<h3><a id=\"Lesson_1.1_Parent_Functions_and_Transformations\"><\/a>Lesson 1.1 Parent Functions and Transformations<\/h3>\n<p><b>Essential Question<\/b><\/p>\n<p>What are the characteristics of some of the basic parent functions?<br \/>\nAnswer:<br \/>\nOdd. End behavior goes in different directions.<br \/>\nIf a function is positive, the left side of the graph will point down and the right side will point up i.e., increasing from left to right.<\/p>\n<p><b>EXPLORATION 1<br \/>\nIdentifying Basic Parent Functions<br \/>\nWork with a partner.<\/b> Graphs of eight basic parent functions are shown below. Classify each function as constant, linear, absolute value, quadratic, square root, cubic, reciprocal, or exponential. Justify your reasoning.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38985\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-4.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 4\" width=\"685\" height=\"599\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-4.png 685w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-4-300x262.png 300w\" sizes=\"(max-width: 685px) 100vw, 685px\" \/><\/p>\n<p><b>Communicate Your Answer<\/b><\/p>\n<p>Question 2.<br \/>\nWhat are the characteristics of some of the basic parent functions?<br \/>\nAnswer: The key common points of linear parent functions include the fact that the: Equation is y = x. Domain and\u00a0range are real numbers. The slope, or rate of change, is constant.<\/p>\n<p>Question 3.<br \/>\nWrite an equation for each function whose graph is shown in Exploration 1. Then use a graphing calculator to verify that your equations are correct.<br \/>\nAnswer:<br \/>\na. The equation for the given graph of the absolute value function in exploration 1 is y = |x|<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91885\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Answers-Algebra-2-Lesson-1.1-Parent-Functions-and-Transformations_3.png\" alt=\"Big Ideas Math Answers Algebra 2 Lesson 1.1 Parent Functions and Transformations_3\" width=\"1600\" height=\"861\" \/><br \/>\nb. y = \u221ax<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91886\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Answers-Algebra-2-Lesson-1.1-Parent-Functions-and-Transformations_3b.png\" alt=\"Big Ideas Math Answers Algebra 2 Lesson 1.1 Parent Functions and Transformations_3b\" width=\"1600\" height=\"861\" \/><br \/>\nc. y = c<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91887\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Answers-Algebra-2-Lesson-1.1-Parent-Functions-and-Transformations_3c.png\" alt=\"Big Ideas Math Answers Algebra 2 Lesson 1.1 Parent Functions and Transformations_3c\" width=\"1600\" height=\"861\" \/><br \/>\ny = e^x<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91888\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Answers-Algebra-2-Lesson-1.1-Parent-Functions-and-Transformations_3d.png\" alt=\"Big Ideas Math Answers Algebra 2 Lesson 1.1 Parent Functions and Transformations_3d\" width=\"1506\" height=\"811\" \/><br \/>\ny = x\u00b3<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91889\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Answers-Algebra-2-Lesson-1.1-Parent-Functions-and-Transformations_3e.png\" alt=\"Big Ideas Math Answers Algebra 2 Lesson 1.1 Parent Functions and Transformations_3e\" width=\"1600\" height=\"861\" \/><br \/>\ny = x<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91890\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Answers-Algebra-2-Lesson-1.1-Parent-Functions-and-Transformations_3f.png\" alt=\"Big Ideas Math Answers Algebra 2 Lesson 1.1 Parent Functions and Transformations_3f\" width=\"1600\" height=\"861\" \/><br \/>\ny = 1\/x<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91891\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Answers-Algebra-2-Lesson-1.1-Parent-Functions-and-Transformations_3g.png\" alt=\"Big Ideas Math Answers Algebra 2 Lesson 1.1 Parent Functions and Transformations_3g\" width=\"1600\" height=\"861\" \/><\/p>\n<p>y = x\u00b2<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-91892\" src=\"https:\/\/bigideasmathanswer.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Answers-Algebra-2-Lesson-1.1-Parent-Functions-and-Transformations_3h.png\" alt=\"Big Ideas Math Answers Algebra 2 Lesson 1.1 Parent Functions and Transformations_3h\" width=\"1600\" height=\"861\" \/><\/p>\n<p>Use graphing calculator to find the graph of the equation.<\/p>\n<p><b>1.1 Lesson<\/b><\/p>\n<p><b>Monitoring Progress<\/b><\/p>\n<p>Question 1.<br \/>\nIdentify the function family to which g belongs. Compare the graph of g to the graph of its parent function.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38986\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-5.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 5\" width=\"189\" height=\"156\" \/><br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/16\/05\/12\/1f70a82d9969bf174c59eb8704f5c943\/8a8e62fe29461d89a8651c10b24f0bff\/lateximg.png?tcb=1622783038\" \/><\/p>\n<p><b>Graph the function and its parent function. Then describe the transformation.<\/b><\/p>\n<p>Question 2.<br \/>\ng(x) = x + 3<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115549\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-2.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-2.jpg\" width=\"593\" height=\"814\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-2.jpg 593w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-2-219x300.jpg 219w\" sizes=\"(max-width: 593px) 100vw, 593px\" \/><\/p>\n<p>Question 3.<br \/>\nh(x) = (x &#8211; 2)<sup>2<\/sup><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115550\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-3.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-3.jpg\" width=\"702\" height=\"715\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-3.jpg 702w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-3-295x300.jpg 295w\" sizes=\"(max-width: 702px) 100vw, 702px\" \/><\/p>\n<p>Question 4.<br \/>\nn(x) = &#8211; | x |<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115552\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-4.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-4.jpg\" width=\"628\" height=\"813\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-4.jpg 628w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-4-232x300.jpg 232w\" sizes=\"(max-width: 628px) 100vw, 628px\" \/><\/p>\n<p><b>Graph the function and its parent function. Then describe the transformation.<\/b><\/p>\n<p>Question 5.<br \/>\ng(x) = 3x<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115554\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-5.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-5.jpg\" width=\"726\" height=\"873\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-5.jpg 726w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-5-249x300.jpg 249w\" sizes=\"(max-width: 726px) 100vw, 726px\" \/><\/p>\n<p>Question 6.<br \/>\nh(x) = \\(\\frac{3}{2}\\)x<sup>2<\/sup><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115555\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-6.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-6.jpg\" width=\"668\" height=\"733\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-6.jpg 668w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-6-273x300.jpg 273w\" sizes=\"(max-width: 668px) 100vw, 668px\" \/><\/p>\n<p>Question 7.<br \/>\nc(x) = 0.2|x|<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115557\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-7JPG.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-7JPG.jpg\" width=\"708\" height=\"810\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-7JPG.jpg 708w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-7JPG-262x300.jpg 262w\" sizes=\"(max-width: 708px) 100vw, 708px\" \/><\/p>\n<p><b>Use a graphing calculator to graph the function and its parent function. Then describe the transformations<\/b><\/p>\n<p>Question 8.<br \/>\nh(x) = &#8211;\\(\\frac{1}{4}\\)x + 5<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115558\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-8.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-8.jpg\" width=\"525\" height=\"608\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-8.jpg 657w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-8-259x300.jpg 259w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/p>\n<p>Question 9.<br \/>\nd(x) = 3(x &#8211; 5)<sup>2<\/sup> &#8211; 1<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115559\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-9.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-9.jpg\" width=\"499\" height=\"529\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-9.jpg 674w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-9-283x300.jpg 283w\" sizes=\"(max-width: 499px) 100vw, 499px\" \/><\/p>\n<p>Question 10.<br \/>\nThe table shows the amount of fuel in a chainsaw over time. What type of function can you use to model the data? When will the tank be empty?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38987\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-6.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 6\" width=\"435\" height=\"67\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-6.png 435w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-6-300x46.png 300w\" sizes=\"(max-width: 435px) 100vw, 435px\" \/><br \/>\nAnswer:<\/p>\n<h3><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115560\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-10.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-10.jpg\" width=\"654\" height=\"447\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-10.jpg 654w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.1-10-300x205.jpg 300w\" sizes=\"(max-width: 654px) 100vw, 654px\" \/><\/h3>\n<h3><a id=\"Parent_Functions_and_Transformations_1.1_Exercises\"><\/a>Parent Functions and Transformations 1.1 Exercises<\/h3>\n<p><b>Vocabulary and Core Concept Check<\/b><\/p>\n<p>Question 1.<br \/>\n<b>COMPLETE THE SENTENCE<\/b><br \/>\nThe function f(x) = x<sup>2<\/sup> is the ______ of f(x) = 2x<sup>2<\/sup> &#8211; 3.<br \/>\nAnswer:<br \/>\nThe function f(x) = x<sup>2<\/sup> is the parent function of f(x) = 2x<sup>2<\/sup> &#8211; 3.<\/p>\n<p>Question 2.<br \/>\n<b>DIFFERENT WORDS, SAME QUESTION<\/b> Which is different? Find \u201cboth\u201d answers.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38988\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-7.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 7\" width=\"557\" height=\"293\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-7.png 557w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-7-300x158.png 300w\" sizes=\"(max-width: 557px) 100vw, 557px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115863\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-1.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-1.jpg\" width=\"392\" height=\"814\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-1.jpg 392w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-1-144x300.jpg 144w\" sizes=\"(max-width: 392px) 100vw, 392px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115864\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-1a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-1a.jpg\" width=\"353\" height=\"894\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-1a.jpg 353w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-1a-118x300.jpg 118w\" sizes=\"(max-width: 353px) 100vw, 353px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115865\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-1b.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-1b.jpg\" width=\"425\" height=\"227\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-1b.jpg 599w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-1b-300x160.jpg 300w\" sizes=\"(max-width: 425px) 100vw, 425px\" \/><\/p>\n<p><b>Monitoring Progress and Modeling with Mathematics<\/b><\/p>\n<p><b>In Exercises 3\u20136, identify the function family to which f belongs. Compare the graph of f to the graph of its parent function.<\/b><\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38989\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-8.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 8\" width=\"207\" height=\"190\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45233\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-3.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 3\" width=\"578\" height=\"197\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-3.png 578w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-3-300x102.png 300w\" sizes=\"(max-width: 578px) 100vw, 578px\" \/><\/p>\n<p>Question 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38990\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-9.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 9\" width=\"191\" height=\"181\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/16\/04\/12\/b82d77a7e9bf3d6349181282aae6d880\/7a3bde7ae558e57f7cc9af5852636aec\/lateximg.png?tcb=1623066513\" \/><\/p>\n<p>Question 5.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38991\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-10.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 10\" width=\"189\" height=\"178\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45234\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-5.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 5\" width=\"568\" height=\"115\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-5.png 568w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-5-300x61.png 300w\" sizes=\"(max-width: 568px) 100vw, 568px\" \/><\/p>\n<p>Question 6.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38992\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-11.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 11\" width=\"191\" height=\"183\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/16\/04\/12\/cdb2eccfb62d1444f1fb656762839b80\/63960f205f368e93d2c0c2fdf7e767b0\/lateximg.png?tcb=1623066553\" \/><\/p>\n<p>Question 7.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nAt 8:00 A.M., the temperature is 43\u00b0F. The temperature increases 2\u00b0F each hour for the next 7 hours. Graph the temperatures over time t (t = 0 represents 8:00 A.M.). What type of function can you use to model the data? Explain.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45235\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-7.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 7\" width=\"575\" height=\"305\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-7.png 575w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-7-300x159.png 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/p>\n<p>Question 8.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b><br \/>\nYou purchase a car from a dealership for $10,000. The trade-in value of the car each year after the purchase is given by the function f(x) = 10,000 &#8211; 250x<sup>2<\/sup>. What type of function models the trade-in value?<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nYou purchase a car from a dealership for $10,000.<br \/>\nThe trade-in value of the car each year after the purchase is given by the function f(x) = 10,000 &#8211; 250x<sup>2<\/sup>.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115866\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-8JPG.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-8JPG.jpg\" width=\"701\" height=\"352\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-8JPG.jpg 701w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-8JPG-300x151.jpg 300w\" sizes=\"(max-width: 701px) 100vw, 701px\" \/><\/p>\n<p><b>In Exercises 9\u201318, graph the function and its parent function. Then describe the transformation.<\/b><\/p>\n<p>Question 9.<br \/>\ng(x) = x + 4<br \/>\nAnswer:<br \/>\n<span style=\"font-size: 16px;\">Given equation is g(x) = x + 4<\/span><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45236\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-9.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 9\" width=\"562\" height=\"343\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-9.png 562w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-9-300x183.png 300w\" sizes=\"(max-width: 562px) 100vw, 562px\" \/><\/p>\n<p>Question 10.<br \/>\nf(x) = x &#8211; 6<br \/>\nAnswer:<br \/>\nf(x) = x &#8211; 6<br \/>\ny = x &#8211; 6<br \/>\nx = 0<br \/>\ny = 0 &#8211; 6 = -6<br \/>\nx = 1<br \/>\ny = 1 &#8211; 6 = -5<br \/>\nx = -1<br \/>\ny = -1 &#8211; 6 = -7<br \/>\nx = 2<br \/>\ny = 2 &#8211; 6 = -4<br \/>\nx = 3<br \/>\ny = 3 &#8211; 6 = -3<br \/>\nx = 4<br \/>\ny = 4 &#8211; 6 = -2<br \/>\nx = 5<br \/>\ny = 5 &#8211; 6 = -1<br \/>\nx = 6<br \/>\ny = 6 &#8211; 6 = 0<br \/>\nx = 7<br \/>\ny = 7 &#8211; 6 = 1<br \/>\nx = 8<br \/>\ny = 8 &#8211; 6 = 2<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115867\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-10.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-10.jpg\" width=\"414\" height=\"725\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-10.jpg 414w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-10-171x300.jpg 171w\" sizes=\"(max-width: 414px) 100vw, 414px\" \/><\/p>\n<p>The graph is a linear function.<\/p>\n<p>Question 11.<br \/>\nf(x) = x<sup>2<\/sup> &#8211; 1<br \/>\nAnswer:<br \/>\n<span style=\"font-size: 16px;\">Given equation is f(x) = x<sup>2<\/sup> &#8211; 1<\/span><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45237\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-11.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 11\" width=\"553\" height=\"344\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-11.png 553w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-11-300x187.png 300w\" sizes=\"(max-width: 553px) 100vw, 553px\" \/><\/p>\n<p>Question 12.<br \/>\nh(x) = (x+ 4)<sup>2<br \/>\n<\/sup><span style=\"font-size: 16px;\">Answer:<br \/>\nGiven equation is h(x) = (x+ 4)<sup>2<\/sup><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115905\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-12.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-12.jpg\" width=\"479\" height=\"710\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-12.jpg 479w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-12-202x300.jpg 202w\" sizes=\"(max-width: 479px) 100vw, 479px\" \/><\/span><\/p>\n<p>Question 13.<br \/>\ng(x) = | x &#8211; 5 |<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45238\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-13.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 13\" width=\"539\" height=\"249\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-13.png 539w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-13-300x139.png 300w\" sizes=\"(max-width: 539px) 100vw, 539px\" \/><\/p>\n<p>Question 14.<br \/>\nf(x) = 4 + | x |<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115906\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-14.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-14.jpg\" width=\"448\" height=\"789\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-14.jpg 448w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-14-170x300.jpg 170w\" sizes=\"(max-width: 448px) 100vw, 448px\" \/><\/p>\n<p>Question 15.<br \/>\nh(x) = -x<sup>2<\/sup><\/p>\n<p><span style=\"font-size: 16px;\">Answer:<\/span><br \/>\nGiven equation is h(x) = -x<sup>2<\/sup><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45239\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-15.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 15\" width=\"563\" height=\"295\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-15.png 563w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-15-300x157.png 300w\" sizes=\"(max-width: 563px) 100vw, 563px\" \/><\/p>\n<p>Question 16.<br \/>\ng(x) = -x<br \/>\nAnswer:<br \/>\nGiven equation is g(x) = -x<br \/>\ny = -x<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115907\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-16.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-16.jpg\" width=\"425\" height=\"773\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-16.jpg 425w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-16-165x300.jpg 165w\" sizes=\"(max-width: 425px) 100vw, 425px\" \/><\/p>\n<p>Question 17.<br \/>\nf(x) = 3<br \/>\nAnswer:<br \/>\nGiven equation is f(x) = 3<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45240\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-17.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 17\" width=\"574\" height=\"250\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-17.png 574w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-17-300x131.png 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><\/p>\n<p>Question 18.<br \/>\nf(x) = -2<br \/>\nAnswer:<br \/>\nGiven equation is f(x) = -2<br \/>\nThe parent function is f(x) = 1<br \/>\nFind the graph of the given function y = -2<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115908\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-18.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-18.jpg\" width=\"413\" height=\"760\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-18.jpg 413w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-18-163x300.jpg 163w\" sizes=\"(max-width: 413px) 100vw, 413px\" \/><\/p>\n<p><b>In Exercises 19\u201326, graph the function and its parent function. Then describe the transformation.<\/b><\/p>\n<p>Question 19.<br \/>\nf(x) = \\(\\frac{1}{3}\\)x<br \/>\nAnswer:<br \/>\nGiven equation is f(x) = \\(\\frac{1}{3}\\)x<br \/>\nThe parent function y = x<br \/>\nFind the graph of the given function f(x) = \\(\\frac{1}{3}\\)x<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45241\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-19.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 19\" width=\"547\" height=\"350\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-19.png 547w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-19-300x192.png 300w\" sizes=\"(max-width: 547px) 100vw, 547px\" \/><\/p>\n<p>Question 20.<br \/>\ng(x) = 4x<br \/>\nAnswer:<br \/>\nGiven equation is g(x) = 4x<br \/>\nThe parent function if f(x) = x<br \/>\nFind the graph of the given function g(x) = 4x<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115909\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-20.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-20.jpg\" width=\"417\" height=\"753\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-20.jpg 417w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-20-166x300.jpg 166w\" sizes=\"(max-width: 417px) 100vw, 417px\" \/><\/p>\n<p>Question 21.<br \/>\nf(x) = 2x<sup>2<\/sup><br \/>\nAnswer:<br \/>\nGiven equation is f(x) = 2x<sup>2<\/sup><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45242\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-21.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 21\" width=\"548\" height=\"325\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-21.png 548w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-21-300x178.png 300w\" sizes=\"(max-width: 548px) 100vw, 548px\" \/><\/p>\n<p>Question 22.<br \/>\nh(x) = \\(\\frac{1}{3}\\)x<sup>2<\/sup><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115910\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-22.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-22.jpg\" width=\"486\" height=\"584\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-22.jpg 676w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-22-249x300.jpg 249w\" sizes=\"(max-width: 486px) 100vw, 486px\" \/><\/p>\n<p>Question 23.<br \/>\nh(x) = \\(\\frac{3}{4}\\)x<br \/>\nAnswer:<br \/>\nGiven equation is h(x) = \\(\\frac{3}{4}\\)x<br \/>\nThe parent function y = x<br \/>\nFind the graph of the given function h(x) = \\(\\frac{3}{4}\\)x<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45243\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-23.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 23\" width=\"542\" height=\"342\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-23.png 542w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-23-300x189.png 300w\" sizes=\"(max-width: 542px) 100vw, 542px\" \/><\/p>\n<p>Question 24.<br \/>\ng(x) = \\(\\frac{4}{3}\\)x<br \/>\nAnswer:<br \/>\nGiven equation is g(x) = \\(\\frac{4}{3}\\)x<br \/>\nThe parent function y = x<br \/>\nFind the graph of the given function g(x) = \\(\\frac{4}{3}\\)x<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115911\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-24.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-24.jpg\" width=\"441\" height=\"838\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-24.jpg 441w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-24-158x300.jpg 158w\" sizes=\"(max-width: 441px) 100vw, 441px\" \/><\/p>\n<p>Question 25.<br \/>\nh(x) = 3 | x |<br \/>\nAnswer:<br \/>\nGiven equation is h(x) = 3 | x |<br \/>\nThe parent function y =|x|<br \/>\nFind the graph of the given function h(x) = 3 | x |<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45244\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-25.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 25\" width=\"559\" height=\"257\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-25.png 559w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-25-300x138.png 300w\" sizes=\"(max-width: 559px) 100vw, 559px\" \/><\/p>\n<p>Question 26.<br \/>\nf(x) = \\(\\frac{1}{2}\\) | x |<br \/>\nAnswer:<br \/>\nGiven equation is f(x) = \\(\\frac{1}{2}\\) | x |<br \/>\nThe parent function y =|x|<br \/>\nFind the graph of the given function f(x) = \\(\\frac{1}{2}\\) | x |<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115912\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-26.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-26.jpg\" width=\"416\" height=\"755\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-26.jpg 416w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-26-165x300.jpg 165w\" sizes=\"(max-width: 416px) 100vw, 416px\" \/><\/p>\n<p><b>In Exercises 27\u201334, use a graphing calculator to graph the function and its parent function. Then describe the transformations.<\/b><\/p>\n<p>Question 27.<br \/>\nf(x) = 3x + 2<br \/>\nAnswer:<br \/>\nGiven equation,<br \/>\nf(x) = 3x + 2<br \/>\nx = 0<br \/>\ny = 3(0) + 2 = 2<br \/>\nx = 1<br \/>\ny = 3(1) + 2 = 5<br \/>\nx = 2<br \/>\ny = 3(2) + 2 = 7<br \/>\nx = -1<br \/>\ny = 3(-1) + 2 = -3 + 2 = -1<br \/>\nx = -2<br \/>\ny = 3(-2) + 2 = -6 + 2 = -4<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45245\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-27.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 27\" width=\"577\" height=\"233\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-27.png 577w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-27-300x121.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/p>\n<p>Question 28.<br \/>\nh(x) = -x + 5<br \/>\nAnswer:<br \/>\nGiven equation is h(x) = -x + 5<br \/>\nx = -5<br \/>\ny = -(-5) + 5 = 10<br \/>\nx = 0<br \/>\ny = 0 + 5 = 5<br \/>\nx = 5<br \/>\ny = -5 + 5 = 0<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115913\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-28.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-28.jpg\" width=\"463\" height=\"795\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-28.jpg 463w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-28-175x300.jpg 175w\" sizes=\"(max-width: 463px) 100vw, 463px\" \/><\/p>\n<p>Question 29.<br \/>\nh(x) = -3 | x | &#8211; 1<br \/>\nAnswer:<br \/>\nGiven equation is h(x) = -3 | x | &#8211; 1<br \/>\nx = -3<br \/>\ny = -3|-3| &#8211; 1 = -9 &#8211; 1 = -10<br \/>\nx = -2<br \/>\ny = -3|-3| &#8211; 1 = -6 &#8211; 1 = -7<br \/>\nx = 0<br \/>\ny = -3|0| &#8211; 1 = -1<br \/>\nx = 3<br \/>\ny = -3|3| &#8211; 1 = -9 &#8211; 1 = -10<br \/>\nx = 2<br \/>\ny = -3|2| &#8211; 1 = -6 &#8211; 1 = -7<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45246\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-29.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 29\" width=\"566\" height=\"270\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-29.png 566w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-29-300x143.png 300w\" sizes=\"(max-width: 566px) 100vw, 566px\" \/><\/p>\n<p>Question 30.<br \/>\nf(x) = \\(\\frac{3}{4}\\) | x | + 1<br \/>\nAnswer:<br \/>\nGiven equation is f(x) = \\(\\frac{3}{4}\\) | x | + 1<br \/>\nx = -5<br \/>\ny = \\(\\frac{3}{4}\\) | x | + 1<br \/>\ny = \\(\\frac{3}{4}\\) | -5 | + 1 = \\(\\frac{15}{4}\\) + 1 = \\(\\frac{19}{4}\\)<br \/>\nx = 0<br \/>\ny = \\(\\frac{3}{4}\\) | 0 | + 1 = 1<br \/>\nx = -5<br \/>\ny = \\(\\frac{3}{4}\\) | x | + 1<br \/>\ny = \\(\\frac{3}{4}\\) | 5 | + 1 = \\(\\frac{15}{4}\\) + 1 = \\(\\frac{19}{4}\\)<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115914\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-30.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-30.jpg\" width=\"429\" height=\"840\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-30.jpg 429w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-30-153x300.jpg 153w\" sizes=\"(max-width: 429px) 100vw, 429px\" \/><\/p>\n<p>Question 31.<br \/>\ng(x) = \\(\\frac{1}{2}\\)x<sup>2<\/sup> &#8211; 6<br \/>\nAnswer:<br \/>\nGiven equation is g(x) = \\(\\frac{1}{2}\\)x<sup>2<\/sup> &#8211; 6<br \/>\nThe parent function is y = x<sup>2<\/sup><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45247\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-31.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 31\" width=\"562\" height=\"271\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-31.png 562w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-31-300x145.png 300w\" sizes=\"(max-width: 562px) 100vw, 562px\" \/><\/p>\n<p>Question 32.<br \/>\nf(x) = 4x<sup>2<\/sup> &#8211; 3<br \/>\nAnswer:<br \/>\nGiven equation is f(x) = 4x<sup>2<\/sup> &#8211; 3<br \/>\nThe parent function is f(x) = x<sup>2<\/sup><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115915\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-32.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-32.jpg\" width=\"446\" height=\"844\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-32.jpg 446w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-32-159x300.jpg 159w\" sizes=\"(max-width: 446px) 100vw, 446px\" \/><\/p>\n<p>Question 33.<br \/>\nf(x) = -(x + 3)<sup>2<\/sup> + \\(\\frac{1}{4}\\)<br \/>\nAnswer:<br \/>\nGiven equation is f(x) = -(x + 3)<sup>2<\/sup> + \\(\\frac{1}{4}\\)<br \/>\nThe parent function is f(x) = x<sup>2<\/sup><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45248\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-33.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 33\" width=\"559\" height=\"278\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-33.png 559w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-33-300x149.png 300w\" sizes=\"(max-width: 559px) 100vw, 559px\" \/><\/p>\n<p>Question 34.<br \/>\ng(x) = &#8211; | x &#8211; 1 | &#8211; \\(\\frac{1}{2}\\)<br \/>\nAnswer:<br \/>\nGiven equation is g(x) = &#8211; | x &#8211; 1 | &#8211; \\(\\frac{1}{2}\\)<br \/>\nThe parent function is f(x) = |x|<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115916\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-34.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-34.jpg\" width=\"493\" height=\"807\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-34.jpg 493w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-34-183x300.jpg 183w\" sizes=\"(max-width: 493px) 100vw, 493px\" \/><\/p>\n<p><b>ERROR ANALYSIS In Exercises 35 and 36, identify and correct the error in describing the transformation of the parent function.<\/b><\/p>\n<p>Question 35.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38993\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-12.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 12\" width=\"378\" height=\"263\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-12.png 378w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-12-300x209.png 300w\" sizes=\"(max-width: 378px) 100vw, 378px\" \/><br \/>\nAnswer: The error is there is no vertical shrink of the parent quadratic function. The graph is a reflection in the x-axis followed by a vertical stretch of the parent quadratic function.<\/p>\n<p>Question 36.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38995\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-13.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 13\" width=\"366\" height=\"249\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-13.png 366w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-13-300x204.png 300w\" sizes=\"(max-width: 366px) 100vw, 366px\" \/><br \/>\nAnswer: The graph is translated horizontally 3 units to the right.<br \/>\nSo, the equation should be f(x) = |x &#8211; 3| not f(x) = |x + 3|<\/p>\n<p><b>MATHEMATICAL CONNECTIONS In Exercises 37 and 38, find the coordinates of the figure after the transformation.<\/b><\/p>\n<p>Question 37.<br \/>\nTranslate 2 units down.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38994\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-13.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 13.1\" width=\"191\" height=\"181\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45250\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-37.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 37\" width=\"255\" height=\"138\" \/><\/p>\n<p>Question 38.<br \/>\nReflect in the x-axis.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38996\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-15.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 15\" width=\"191\" height=\"186\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/03\/10\/6508b41aa1f9e608bd0e926ee71c38b6\/660920601fcebd1a6387fc3e7b4f4e0f\/lateximg.png?tcb=1623084794\" \/><\/p>\n<p><b>USING TOOLS In Exercises 39\u201344, identify the function family and describe the domain and range. Use a graphing calculator to verify your answer.<\/b><\/p>\n<p>Question 39.<br \/>\ng(x) = | x + 2 | &#8211; 1<br \/>\nAnswer: The function g is in the family of absolute value functions. The domain of the function is all real numbers and the range of the function is y \u2265 -1.<\/p>\n<p>Question 40.<br \/>\nh(x) = | x &#8211; 3 | + 2<br \/>\nAnswer:<br \/>\nGiven equation is h(x) = | x &#8211; 3 | + 2<br \/>\nx = -1<br \/>\ny = |-1 &#8211; 3| + 2 = 4 + 2 = 6<br \/>\nx = 0<br \/>\ny = |0 &#8211; 3| + 2 = 3 + 2 = 5<br \/>\nx = 1<br \/>\ny = |1 &#8211; 3| + 2 = 2 + 2 = 4<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-186623\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Parent-Functions-and-Transformations-1.1-Exercises_40-300x269.png\" alt=\"Big Ideas Math Answers Parent Functions and Transformations 1.1 Exercises_40\" width=\"300\" height=\"269\" \/><\/p>\n<p>Question 41.<br \/>\ng(x) = 3x + 4<br \/>\nAnswer:<br \/>\nFunction g is in the family of linear functions.<br \/>\nDomain: All Real Numbers<br \/>\nRange:\u00a0 All Real Numbers<\/p>\n<p>Question 42.<br \/>\nf(x) = -4x + 11<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nf(x) = -4x + 11<br \/>\nx = 0<br \/>\ny = -4(0) + 11 = 11<br \/>\n(0, 11)<br \/>\nx = 1<br \/>\ny = -4(1) + 11 = 7<br \/>\n(1, 7)<br \/>\nx = 2<br \/>\ny = -4(2) + 11 = -8 + 11 = -3<br \/>\n(2, -3)<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115917\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-42.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-42.jpg\" width=\"440\" height=\"484\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-42.jpg 440w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-42-273x300.jpg 273w\" sizes=\"(max-width: 440px) 100vw, 440px\" \/><\/p>\n<p>Question 43.<br \/>\nf(x) = 5x<sup>2<\/sup> &#8211; 2<br \/>\nAnswer:<br \/>\nGiven function is f(x) = 5x<sup>2<\/sup> &#8211; 2<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45253\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-43.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 43\" width=\"560\" height=\"61\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-43.png 560w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-43-300x33.png 300w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><\/p>\n<p>Question 44.<br \/>\nf(x) = -2x<sup>2<\/sup> + 6<br \/>\nAnswer:<br \/>\nGiven function is f(x) = -2x<sup>2<\/sup> + 6<br \/>\nx = -1<br \/>\ny = -2(-1)\u00b2 + 6 = -2 + 6 = 4<br \/>\n(-1, 4)<br \/>\nx = 0<br \/>\ny = -2(0)\u00b2 + 6 = 6<br \/>\n(0, 6)<br \/>\nx = 1<br \/>\ny = -2(1)\u00b2 + 6 = -2 + 6 = 4<br \/>\n(1, 4)<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115918\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-44.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-44.jpg\" width=\"364\" height=\"444\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-44.jpg 446w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-44-246x300.jpg 246w\" sizes=\"(max-width: 364px) 100vw, 364px\" \/><\/p>\n<p>Question 45.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b> The table shows the speeds of a car as it travels through an intersection with a stop sign. What type of function can you use to model the data? Estimate the speed of the car when it is 20 yards past the intersection.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38997\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-16.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 16\" width=\"353\" height=\"255\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-16.png 353w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-16-300x217.png 300w\" sizes=\"(max-width: 353px) 100vw, 353px\" \/><br \/>\nAnswer: The type of function that can model the data is an absolute value function because the data are linear and there are positive speeds for the positive and negative displacements.<br \/>\nThe speed of the car 20 yards past the intersection is estimated to be 8 miles per hour.<\/p>\n<p>Question 46.<br \/>\n<b>THOUGHT PROVOKING <\/b>In the same coordinate plane, sketch the graph of the parent quadratic function and the graph of a quadratic function that has no x-intercepts. Describe the transformation(s) of the parent function.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115919\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-46.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-46.jpg\" width=\"655\" height=\"813\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-46.jpg 655w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-46-242x300.jpg 242w\" sizes=\"(max-width: 655px) 100vw, 655px\" \/><\/p>\n<p>Question 47.<br \/>\n<b>USING STRUCTURE<\/b> Graph the functions f(x) = | x &#8211; 4 | and g(x) = | x | &#8211; 4. Are they equivalent? Explain.<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nGraph the functions f(x) = | x &#8211; 4 | and g(x) = | x | &#8211; 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45255\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-47.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 47\" width=\"583\" height=\"324\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-47.png 583w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-47-300x167.png 300w\" sizes=\"(max-width: 583px) 100vw, 583px\" \/><\/p>\n<p>Question 48.<br \/>\n<b>HOW DO YOU SEE IT?<\/b> Consider the graphs of f, g, and h.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38999\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-17.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 17\" width=\"198\" height=\"185\" \/><br \/>\na. Does the graph of g represent a vertical stretch or a vertical shrink of the graph of f? Explain your reasoning.<br \/>\nAnswer:<br \/>\ng represents a vertical shrink of f because the y-values of g are smaller than the y-values of f at the same x-values.<br \/>\nb. Describe how to transform the graph of f to obtain the graph of h.<br \/>\nAnswer:<br \/>\nThe graph of f would have to be reflected over the x-axis and then vertically stretched to obtain the graph of h.<\/p>\n<p>Question 49.<br \/>\n<b>MAKING AN ARGUMENT<\/b> Your friend says two different translations of the graph of the parent linear function can result in the graph of f(x) = x &#8211; 2. Is your friend correct? Explain.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45257\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-49.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 49\" width=\"565\" height=\"60\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-49.png 565w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-49-300x32.png 300w\" sizes=\"(max-width: 565px) 100vw, 565px\" \/><\/p>\n<p>Question 50.<br \/>\n<b>DRAWING CONCLUSIONS<\/b> A person swims at a constant speed of 1 meter per second. What type of function can be used to model the distance the swimmer travels? If the person has a 10-meter head start, what type of transformation does this represent? Explain.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38998\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-17.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 17.1\" width=\"310\" height=\"205\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-17.1.png 310w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-17.1-300x198.png 300w\" sizes=\"(max-width: 310px) 100vw, 310px\" \/><br \/>\nAnswer:<br \/>\nThe distance traveled by the swimmer can be modeled by a linear function. The 10-meter head start is modeled by a vertical translation up to 10 units.<\/p>\n<p>Question 51.<br \/>\n<b>PROBLEM SOLVING<\/b> You are playing basketball with your friends. The height (in feet) of the ball above the ground t seconds after a shot is released from your hand is modeled by the function f(t) = -16t<sup>2<\/sup> + 32t + 5.2.<br \/>\na. Without graphing, identify the type of function that models the height of the basketball.<br \/>\nb. What is the value of t when the ball is released from your hand? Explain your reasoning.<br \/>\nc. How many feet above the ground is the ball when it is released from your hand? Explain.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45258\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-51.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 51\" width=\"584\" height=\"182\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-51.png 584w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-51-300x93.png 300w\" sizes=\"(max-width: 584px) 100vw, 584px\" \/><\/p>\n<p>Question 52.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b> The table shows the battery lives of a computer over time. What type of function can you use to model the data? Interpret the meaning of the x-intercept in this situation.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39000\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-18.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 18\" width=\"304\" height=\"201\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-18.png 304w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-18-300x198.png 300w\" sizes=\"(max-width: 304px) 100vw, 304px\" \/><br \/>\nAnswer:<br \/>\nThe data can be modeled by an absolute value function. The x-intercept in this situation is when the battery of the computer dies.<\/p>\n<p>Question 53.<br \/>\n<b>REASONING <\/b>Compare each function with its parent function. State whether it contains a horizontal translation, vertical translation, both, or neither. Explain your reasoning.<br \/>\na. f(x) = 2 | x | &#8211; 3<br \/>\nb. f(x) = (x &#8211; 8)<sup>2<\/sup><br \/>\nc. f(x) = | x + 2 | + 4<br \/>\nd. f(x) = 4x<sup>2<\/sup><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45259\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-53.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 53\" width=\"572\" height=\"305\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-53.png 572w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-53-300x160.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><\/p>\n<p>Question 54.<br \/>\n<b>CRITICAL THINKING<\/b><br \/>\nUse the values -1, 0, 1, and 2 in the correct box so the graph of each function intersects the x-axis. Explain your reasoning.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39001\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-19.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 19\" width=\"374\" height=\"82\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-19.png 374w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-19-300x66.png 300w\" sizes=\"(max-width: 374px) 100vw, 374px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115921\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-54-.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-54-.jpg\" width=\"674\" height=\"207\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-54-.jpg 674w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-54--300x92.jpg 300w\" sizes=\"(max-width: 674px) 100vw, 674px\" \/><\/p>\n<p><b>Maintaining Mathematical Proficiency<\/b><\/p>\n<p><b>Determine whether the ordered pair is a solution of the equation. <\/b>(Skills Review Handbook)<\/p>\n<p>Question 55.<br \/>\nf(x) = | x + 2 |; (1, -3)<br \/>\nAnswer:<br \/>\nGiven,<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45260\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-55.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 55\" width=\"268\" height=\"190\" \/><\/p>\n<p>Question 56.<br \/>\nf(x) = | x | &#8211; 3; (-2, -5)<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/16\/04\/12\/ee28e480ea8559b46191d77d24d04485\/513689c041cca47ee3a4cf876508601b\/lateximg.png?tcb=1623085593\" \/><\/p>\n<p>Question 57.<br \/>\nf(x) = x &#8211; 3; (5, 2)<br \/>\nAnswer:<br \/>\nGiven,<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45261\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-57.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 57\" width=\"218\" height=\"141\" \/><\/p>\n<p>Question 58.<br \/>\nf(x) = x &#8211; 4; (12, 8)<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nf(x) = x &#8211; 4<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/16\/04\/12\/b2009ccb7d272f3370a800567488d4ae\/d48069db4308f3aea5f01fbf5f6ddf50\/lateximg.png?tcb=1623085625\" \/><\/p>\n<p><b>Find the x-intercept and the y-intercept of the graph of the equation. <\/b>(Skills Review Handbook)<\/p>\n<p>Question 59.<br \/>\ny = x<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45262\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-59.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 59\" width=\"513\" height=\"276\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-59.png 513w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-59-300x161.png 300w\" sizes=\"(max-width: 513px) 100vw, 513px\" \/><\/p>\n<p>Question 60.<br \/>\ny = x + 2<br \/>\nAnswer:<br \/>\nTo find the x-intercept let y = 0, then solve for x.<br \/>\ny = x + 2<br \/>\n0 = x + 2<br \/>\nx + 2 = 0<br \/>\nx = 0 &#8211; 2<br \/>\nx = -2<br \/>\nTo find the y-intercept let x = 0, then solve for y.<br \/>\ny = x+ 2<br \/>\ny = 0 + 2<br \/>\ny = 2<br \/>\nTherefore, the intercept is (0, 0) and the y-intercept is (-2, 2)<\/p>\n<p>Question 61.<br \/>\n3x + y = 1<br \/>\nAnswer:<br \/>\nGiven,<br \/>\n3x + y = 1<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45263\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-61.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.1 Question 61\" width=\"519\" height=\"371\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-61.png 519w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.1-Question-61-300x214.png 300w\" sizes=\"(max-width: 519px) 100vw, 519px\" \/><\/p>\n<p>Question 62.<br \/>\nx &#8211; 2y = 8<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115922\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-62.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-62.jpg\" width=\"684\" height=\"342\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-62.jpg 684w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.1-62-300x150.jpg 300w\" sizes=\"(max-width: 684px) 100vw, 684px\" \/><\/p>\n<h3><a id=\"Lesson_1.2_Transformations_of_Linear_and_Absolute_Value_Functions\"><\/a>Lesson 1.2 Transformations of Linear and Absolute Value Functions<\/h3>\n<p><b>Essential Question<\/b><\/p>\n<p>How do the graphs of y = f(x) + k, y = f(x &#8211; h), and y = -f(x) compare to the graph of the parent function f?<\/p>\n<p><b>EXPLORATION 1<br \/>\nTransformations of the Parent Absolute Value Function<br \/>\nWork with a partner.<\/b> Compare the graph of the function<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39003\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-20.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 20\" width=\"247\" height=\"186\" \/><br \/>\ny = | x | + k Transformation<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39002\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-20.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 20.1\" width=\"216\" height=\"176\" \/><br \/>\nto the graph of the parent function<br \/>\nf(x) = | x |.<\/p>\n<p><b>EXPLORATION 2<br \/>\nTransformations of the Parent Absolute Value Function<br \/>\nWork with a partner. <\/b>Compare the graph of the function<br \/>\ny = | x &#8211; h | Transformation<br \/>\nto the graph of the parent function<br \/>\nf(x) = | x |. Parent function<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39004\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-22.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 22\" width=\"223\" height=\"175\" \/><\/p>\n<p><b>EXPLORATION 3<br \/>\nTransformation of the Parent Absolute Value Function<br \/>\nWork with a partner. <\/b>Compare the graph of the function<br \/>\ny = &#8211; | x | Transformation<br \/>\nto the graph of the parent function<br \/>\nf(x) = | x | Parent function<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39005\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-23.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 23\" width=\"222\" height=\"176\" \/><\/p>\n<p><b>Communicate Your Answer<\/b><\/p>\n<p>Question 4.<br \/>\nTransformation How do the graphs of y = f (x) + k, y = f(x &#8211; h), and y = -f(x) compare to the graph of the parent function f?<\/p>\n<p>Answer:<br \/>\nThe graphs of y = f (x) + k, y = f(x &#8211; h), and y = -f(x) are compared to the graph of the parent function by vertical shifts, horizontal shifts and reflections.<br \/>\n<strong>Vertical shifts:<\/strong> Let f(x) be the parent function and k be a positive number. To graph the function y = f (x) + k, we shift the graph of y = f(x) up k units by adding k to the y-coordinates of the points on the graph of f.<br \/>\n<strong>Horizontal shifts:<\/strong> Let f(x) be the parent function and h be a positive number. To graph the function y = f(x &#8211; h), we shift the graph of y = f(x) to the right h units by adding h to the x-coordinates of the points on the graph of f.<br \/>\n<strong>Reflections:<\/strong> Let f(x) be the parent function.<br \/>\nTo graph the function y = -f(x), we reflect the graph of y = f(x) about the x-axis by multiplying the y-coordinates of the points on the graph of f by -1.<\/p>\n<p>Question 5.<br \/>\nCompare the graph of each function to the graph of its parent function f. Use a graphing calculator to verify your answers are correct.<br \/>\na. y = \\([\\sqrt{x}\/latex] &#8211; 4<br \/>\nb. y = [latex][\\sqrt{x + 4}\/latex]<br \/>\nc. y = &#8211;[latex][\\sqrt{x}\/latex]<br \/>\nd. y = x<sup>2<\/sup> + 1<br \/>\ne. y = (x &#8211; 1)<sup>2<\/sup><br \/>\nf. y = -x<sup>2<\/sup><\/p>\n<p><b>1.2 Lesson<\/b><\/p>\n<p><b>Monitoring Progress<\/b><\/p>\n<p><b>Write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check your answer.<\/b><\/p>\n<p>Question 1.<br \/>\nf(x) = 3x; translation 5 units up<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115924\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-1.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-1.jpg\" width=\"607\" height=\"527\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-1.jpg 709w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-1-300x261.jpg 300w\" sizes=\"(max-width: 607px) 100vw, 607px\" \/><\/p>\n<p>Question 2.<br \/>\nf(x) = | x | &#8211; 3; translation 4 units to the right<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115925\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-2.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-2.jpg\" width=\"555\" height=\"574\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-2.jpg 555w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-2-290x300.jpg 290w\" sizes=\"(max-width: 555px) 100vw, 555px\" \/><\/p>\n<p>Question 3.<br \/>\nf(x) = &#8211; | x + 2 | &#8211; 1; reflection in the x-axis<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115926\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-3.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-3.jpg\" width=\"581\" height=\"566\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-3.jpg 694w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-3-300x292.jpg 300w\" sizes=\"(max-width: 581px) 100vw, 581px\" \/><\/p>\n<p>Question 4.<br \/>\nf(x) = [latex]\\frac{1}{2}\\)x+ 1; reflection in the y-axis<br \/>\nAnswer:<br \/>\nGiven function is f(x) = \\(\\frac{1}{2}\\)x+ 1<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115927\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-4.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-4.jpg\" width=\"507\" height=\"521\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-4.jpg 651w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-4-292x300.jpg 292w\" sizes=\"(max-width: 507px) 100vw, 507px\" \/><\/p>\n<p><b>Write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check your answer.<\/b><\/p>\n<p>Question 5.<br \/>\nf(x) = 4x+ 2; horizontal stretch by a factor of 2<br \/>\nAnswer:<br \/>\nGiven function is 4x + 2<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115928\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-5.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-5.jpg\" width=\"610\" height=\"615\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-5.jpg 723w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-5-298x300.jpg 298w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-5-150x150.jpg 150w\" sizes=\"(max-width: 610px) 100vw, 610px\" \/><\/p>\n<p>Question 6.<br \/>\nf(x) = | x | &#8211; 3; vertical shrink by a factor of \\(\\frac{1}{3}\\)<br \/>\nAnswer:<br \/>\nGiven function is f(x) = | x | &#8211; 3<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115929\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-6.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-6.jpg\" width=\"559\" height=\"591\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-6.jpg 689w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-6-284x300.jpg 284w\" sizes=\"(max-width: 559px) 100vw, 559px\" \/><\/p>\n<p>Question 7.<br \/>\nLet the graph of g be a translation 6 units down followed by a reflection in the x-axis of the graph of f(x) = | x |. Write a rule for g. Use a graphing calculator to check your answer.<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115930\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-7.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-7.jpg\" width=\"595\" height=\"607\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-7.jpg 710w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-7-294x300.jpg 294w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/><\/p>\n<p>Question 8.<br \/>\n<b>WHAT IF?<\/b> In Example 5, your revenue function is f(x) = 3x. How does this affect your profit for 100 downloads?<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/18\/08\/15\/65107e173fff2579ef4233842672dd8f\/4f09264bcf5fdd02e845388ff8c34bd5\/lateximg.png?tcb=1623086924\" \/><\/p>\n<h3><a id=\"Transformations_of_Linear_and_Absolute_Value_Functions_1.2_Exercises\"><\/a>Transformations of Linear and Absolute Value Functions 1.2 Exercises<\/h3>\n<p><b>Vocabulary and Core Concept Check<\/b><\/p>\n<p>Question 1.<br \/>\n<b>COMPLETE THE SENTENCE<\/b><br \/>\nThe function g(x) = | 5x |- 4 is a horizontal ___________ of the function f(x) = | x | &#8211; 4.<br \/>\nAnswer:<br \/>\nThe function g(x) = | 5x |- 4 is a horizontal shrink of the function f(x) = | x | &#8211; 4.<\/p>\n<p>Question 2.<br \/>\n<b>WHICH ONE DOESN&#8217;T BELONG?<\/b> Which transformation does not belong with the other three? Explain your reasoning.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39006\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-24.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 24\" width=\"582\" height=\"144\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-24.png 582w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-24-300x74.png 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><br \/>\nAnswer:<br \/>\nHorizontal shrink for a factor 1\/5.<\/p>\n<p><b>Monitoring Progress and Modeling with Mathematics<\/b><\/p>\n<p><b>In Exercises 3\u20138, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check your answer.<\/b><\/p>\n<p>Question 3.<br \/>\nf(x) = x &#8211; 5; translation 4 units to the left<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45265\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-3.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 3\" width=\"521\" height=\"200\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-3.png 521w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-3-300x115.png 300w\" sizes=\"(max-width: 521px) 100vw, 521px\" \/><\/p>\n<p>Question 4.<br \/>\nf(x) = x + 2; translation 2 units to the right<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115931\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-4.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-4.jpg\" width=\"568\" height=\"437\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-4.jpg 717w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-4-300x231.jpg 300w\" sizes=\"(max-width: 568px) 100vw, 568px\" \/><\/p>\n<p>Question 5.<br \/>\nf(x) = | 4x + 3 | + 2; translation 2 units down<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45266\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-5.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 5\" width=\"550\" height=\"199\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-5.png 550w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-5-300x109.png 300w\" sizes=\"(max-width: 550px) 100vw, 550px\" \/><\/p>\n<p>Question 6.<br \/>\nf(x) = 2x &#8211; 9; translation 6 units up<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115932\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-6.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-6.jpg\" width=\"575\" height=\"416\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-6.jpg 699w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-6-300x217.jpg 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/p>\n<p>Question 7.<br \/>\nf(x) = 4 &#8211; | x + 1 |<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39007\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-25.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 25\" width=\"177\" height=\"165\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45267\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-7.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 7\" width=\"538\" height=\"200\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-7.png 538w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-7-300x112.png 300w\" sizes=\"(max-width: 538px) 100vw, 538px\" \/><\/p>\n<p>Question 8.<br \/>\nf(x) = | 4x | + 5<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39008\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-26.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 26\" width=\"163\" height=\"168\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/03\/11\/d51bc28eb2798724b27afd39383bc65c\/a22902d8a060df0ad7ca217f682a0aa7\/lateximg.png?tcb=1623087265\" \/><\/p>\n<p>Question 9.<br \/>\n<b>WRITING<\/b> Describe two different translations of the graph of f that result in the graph of g.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39009\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-27.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 27\" width=\"262\" height=\"185\" \/><br \/>\nAnswer:<br \/>\nA horizontal translation of 3 units right or a vertical translation of 3 units up will produce the function g from the function f.<\/p>\n<p>Question 10.<br \/>\n<b>PROBLEM SOLVING<\/b> You open a caf\u00e9. The function f(x) = 4000x represents your expected net income (in dollars) after being open x weeks. Before you open, you incur an extra expense of $12,000. What transformation of f is necessary to model this situation? How many weeks will it take to pay off the extra expense?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39010\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-28.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 28\" width=\"306\" height=\"206\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-28.png 306w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-28-300x202.png 300w\" sizes=\"(max-width: 306px) 100vw, 306px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/03\/11\/b36f62f82b3d1114089f3c98789832dd\/c50907e8ac36f1dfa97d0d382aeca825\/lateximg.png?tcb=1623087289\" \/><\/p>\n<p><b>In Exercises 11\u201316, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check your answer.<\/b><\/p>\n<p>Question 11.<br \/>\nf(x) = -5x+ 2; reflection in the x-axis<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45269\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-11.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 11\" width=\"570\" height=\"169\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-11.png 570w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-11-300x89.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<p>Question 12.<br \/>\nf(x) = \\(\\frac{1}{2}\\)x &#8211; 3; reflection in the x-axis<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115933\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-12.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-12.jpg\" width=\"637\" height=\"517\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-12.jpg 762w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-1.2-12-300x243.jpg 300w\" sizes=\"(max-width: 637px) 100vw, 637px\" \/><\/p>\n<p>Question 13.<br \/>\nf(x) = | 6x | &#8211; 2; reflection in the y-axis<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45270\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-13.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 13\" width=\"583\" height=\"207\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-13.png 583w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-13-300x107.png 300w\" sizes=\"(max-width: 583px) 100vw, 583px\" \/><\/p>\n<p>Question 14.<br \/>\nf(x) = | 2x &#8211; 1 | + 3; reflection in the y-axis<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115935\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-14.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-14.jpg\" width=\"600\" height=\"561\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-14.jpg 716w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-14-300x280.jpg 300w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/p>\n<p>Question 15.<br \/>\nf(x) = -3 + | x &#8211; 11 |; reflection in the y-axis<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45271\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-15.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 15\" width=\"579\" height=\"171\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-15.png 579w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-15-300x89.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><\/p>\n<p>Question 16.<br \/>\nf(x) = -x+ 1; reflection in the y-axis<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115936\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-16.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-16.jpg\" width=\"587\" height=\"465\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-16.jpg 703w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-16-300x238.jpg 300w\" sizes=\"(max-width: 587px) 100vw, 587px\" \/><\/p>\n<p><b>In Exercises 17\u201322, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check your answer.<\/b><\/p>\n<p>Question 17.<br \/>\nf(x) = x + 2; vertical stretch by a factor of 5<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45272\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-17.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 17\" width=\"567\" height=\"199\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-17.png 567w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-17-300x105.png 300w\" sizes=\"(max-width: 567px) 100vw, 567px\" \/><\/p>\n<p>Question 18.<br \/>\nf(x) = 2x+ 6; vertical shrink by a factor of \\(\\frac{1}{2}\\)<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115937\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-18.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-18.jpg\" width=\"556\" height=\"533\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-18.jpg 675w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-18-300x288.jpg 300w\" sizes=\"(max-width: 556px) 100vw, 556px\" \/><\/p>\n<p>Question 19.<br \/>\nf(x) = | 2x | + 4; horizontal shrink by a factor of \\(\\frac{1}{2}\\)<br \/>\nAnswer:<br \/>\nGiven function is f(x) = | 2x | + 4<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45273\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-19.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 19\" width=\"593\" height=\"202\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-19.png 593w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-19-300x102.png 300w\" sizes=\"(max-width: 593px) 100vw, 593px\" \/><\/p>\n<p>Question 20.<br \/>\nf(x) = | x+ 3 | ; horizontal stretch by a factor of 4<br \/>\nAnswer:<br \/>\nGiven function is f(x) = | x+ 3 |<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115939\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-20.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-20.jpg\" width=\"510\" height=\"503\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-20.jpg 645w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-20-300x296.jpg 300w\" sizes=\"(max-width: 510px) 100vw, 510px\" \/><\/p>\n<p>Question 21.<br \/>\nf(x) = -2 | x &#8211; 4 | + 2<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39011\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-29.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 29\" width=\"197\" height=\"166\" \/><br \/>\nAnswer:<br \/>\nGiven function is f(x) = -2 | x &#8211; 4 | + 2<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45274\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-21.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 21\" width=\"579\" height=\"222\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-21.png 579w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-21-300x115.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><\/p>\n<p>Question 22.<br \/>\nf(x) = 6 &#8211; x<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39012\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-30.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 30\" width=\"185\" height=\"164\" \/><br \/>\nAnswer:<br \/>\nGiven function is f(x) = 6 &#8211; x<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/03\/13\/cf282e2bac1bb8acfeab0597ce5c538f\/b7ff1abf4857c15af897e919962c7430\/lateximg.png?tcb=1623088105\" \/><\/p>\n<p><b>ANALYZING RELATIONSHIPS In Exercises 23\u201326, match the graph of the transformation of f with the correct equation shown. Explain your reasoning.<\/b><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39013\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-31.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 31\" width=\"146\" height=\"143\" \/><\/p>\n<p>Question 23.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39014\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-32.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 32\" width=\"150\" height=\"146\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45275\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-23.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 23\" width=\"417\" height=\"34\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-23.png 417w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-23-300x24.png 300w\" sizes=\"(max-width: 417px) 100vw, 417px\" \/><\/p>\n<p>Question 24.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39015\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-33.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 33\" width=\"153\" height=\"144\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/03\/13\/c90f61f8914e25ac10f8266675f7365c\/0f64030ee01e1de7f3ba1c42e66450ec\/lateximg.png?tcb=1623088146\" \/><\/p>\n<p>Question 25.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39016\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-34.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 34\" width=\"145\" height=\"149\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45276\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-25.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 25\" width=\"326\" height=\"35\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-25.png 326w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-25-300x32.png 300w\" sizes=\"(max-width: 326px) 100vw, 326px\" \/><\/p>\n<p>Question 26.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39017\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-35.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 35\" width=\"154\" height=\"148\" \/><br \/>\nAnswer:<br \/>\nA. y = 2f(x)<br \/>\nB. y = f(2x)<br \/>\nC. y = f(x + 2)<br \/>\nD. y = f(x) + 2<\/p>\n<p><b>In Exercises 27\u201332, write a function g whose graph represents the indicated transformations of the graph of f.<\/b><\/p>\n<p>Question 27.<br \/>\nf(x) = x; vertical stretch by a factor of 2 followed by a translation 1 unit up<br \/>\nAnswer:<br \/>\nGiven function is f(x) = x<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45277\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-27.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 27\" width=\"584\" height=\"222\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-27.png 584w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-27-300x114.png 300w\" sizes=\"(max-width: 584px) 100vw, 584px\" \/><\/p>\n<p>Question 28.<br \/>\nf(x) = x; translation 3 units down followed by a vertical shrink by a factor of \\(\\frac{1}{3}\\)<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115940\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-28.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-28.jpg\" width=\"690\" height=\"219\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-28.jpg 690w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-28-300x95.jpg 300w\" sizes=\"(max-width: 690px) 100vw, 690px\" \/><\/p>\n<p>Question 29.<br \/>\nf(x) = | x | ; translation 2 units to the right followed by a horizontal stretch by a factor of 2<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45278\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-29.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 29\" width=\"572\" height=\"262\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-29.png 572w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-29-300x137.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><\/p>\n<p>Question 30.<br \/>\nf(x) = | x |; reflection in the y-axis followed by a translation 3 units to the right<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115941\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-30.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-30.jpg\" width=\"636\" height=\"181\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-30.jpg 636w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-30-300x85.jpg 300w\" sizes=\"(max-width: 636px) 100vw, 636px\" \/><\/p>\n<p>Question 31.<br \/>\nf(x) = | x |<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39018\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-36.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 36\" width=\"182\" height=\"183\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-36.png 182w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-36-150x150.png 150w\" sizes=\"(max-width: 182px) 100vw, 182px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45279\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-31.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 31\" width=\"595\" height=\"195\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-31.png 595w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-31-300x98.png 300w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/><\/p>\n<p>Question 32.<br \/>\nf(x) = | x |<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39019\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-37.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 37\" width=\"190\" height=\"181\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115942\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-32.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-32.jpg\" width=\"638\" height=\"216\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-32.jpg 718w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-32-300x102.jpg 300w\" sizes=\"(max-width: 638px) 100vw, 638px\" \/><\/p>\n<p><b>ERROR ANALYSIS In Exercises 33 and 34, identify and correct the error in writing the function g whose graph represents the indicated transformations of the graph of f.<\/b><\/p>\n<p>Question 33.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39020\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-38.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 38\" width=\"330\" height=\"145\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-38.png 330w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-38-300x132.png 300w\" sizes=\"(max-width: 330px) 100vw, 330px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45280\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-33.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 33\" width=\"561\" height=\"83\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-33.png 561w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-33-300x44.png 300w\" sizes=\"(max-width: 561px) 100vw, 561px\" \/><\/p>\n<p>Question 34.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39021\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-39.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 39\" width=\"332\" height=\"157\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-39.png 332w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-39-300x142.png 300w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/03\/13\/1c35deacc74554e5e93644df0bb560f5\/23921d79a42230df8c4a39e81f85c53e\/lateximg.png?tcb=1623088479\" \/><\/p>\n<p>Question 35.<br \/>\n<b>MAKING AN ARGUMENT<\/b> Your friend claims that when writing a function whose graph represents a combination of transformations, the order is not important. Is your friend correct? Justify your answer.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45281\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-35.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 35\" width=\"594\" height=\"164\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-35.png 594w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-35-300x83.png 300w\" sizes=\"(max-width: 594px) 100vw, 594px\" \/><\/p>\n<p>Question 36.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b> During a recent period of time, bookstore sales have been declining. The sales (in billions of dollars) can be modeled by the function f(t) = &#8211;\\(\\frac{7}{5}\\)t + 17.2, where t is the number of years since 2006. Suppose sales decreased at twice the rate. How can you transform the graph of f to model the sales? Explain how the sales in 2010 are affected by this change.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115943\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-36.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-36.jpg\" width=\"594\" height=\"858\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-36.jpg 594w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-36-208x300.jpg 208w\" sizes=\"(max-width: 594px) 100vw, 594px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115944\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-36.aJPG_.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-36.aJPG_.jpg\" width=\"413\" height=\"259\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-36.aJPG_.jpg 413w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-36.aJPG_-300x188.jpg 300w\" sizes=\"(max-width: 413px) 100vw, 413px\" \/><\/p>\n<p><b>MATHEMATICAL CONNECTIONS For Exercises 37\u201340, describe the transformation of the graph of f to the graph of g. Then find the area of the shaded triangle.<\/b><\/p>\n<p>Question 37.<br \/>\nf(x) = | x &#8211; 3 |<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39022\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-40.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 40\" width=\"191\" height=\"180\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45282\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-37.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 37\" width=\"573\" height=\"92\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-37.png 573w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-37-300x48.png 300w\" sizes=\"(max-width: 573px) 100vw, 573px\" \/><\/p>\n<p>Question 38.<br \/>\nf(x) = &#8211; | x | &#8211; 2<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39023\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-41.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 41\" width=\"192\" height=\"181\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/04\/29\/ffe0ba0ef95a679d8a8ab7783d78e495\/0a706f5c813af120a2770679e7a39cbc\/lateximg.png?tcb=1623088849\" \/><\/p>\n<p>Question 39.<br \/>\nf(x) = -x + 4<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39024\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-42.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 42\" width=\"185\" height=\"182\" \/><br \/>\nAnswer:<br \/>\nThe transformation is a reflection in the x-axis.<br \/>\nWe know that the area of the triangle is A = 1\/2 \u00d7 bh<br \/>\nA = 1\/2 \u00d7 8 \u00d7 4 = 16 sq. units<\/p>\n<p>Question 40.<br \/>\nf(x) = x &#8211; 5<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39025\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-43.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 43\" width=\"190\" height=\"185\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/04\/29\/54d3705e1670bd9672118c972404726b\/7b2640a2dccb9753ccccb957776bb5e3\/lateximg.png?tcb=1623088873\" \/><\/p>\n<p>Question 41.<br \/>\n<b>ABSTRACT REASONING <\/b>The functions f(x) = mx + b and g(x) = mx + c represent two parallel lines.<br \/>\na. Write an expression for the vertical translation of the graph of f to the graph of g.<br \/>\nb. Use the definition of slope to write an expression for the horizontal translation of the graph of f to the graph of g.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45284\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-41.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 41\" width=\"552\" height=\"272\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-41.png 552w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-41-300x148.png 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><\/p>\n<p>Question 42.<br \/>\n<b>HOW DO YOU SEE IT? <\/b>Consider the graph of f(x) = mx + b. Describe the effect each transformation has on the slope of the line and the intercepts of the graph.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39026\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-44.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 44\" width=\"215\" height=\"183\" \/><br \/>\na. Reflect the graph of f in the y-axis.<br \/>\nb. Shrink the graph of f vertically by a factor of \\(\\frac{1}{3}\\).<br \/>\nc. Stretch the graph of f horizontally by a factor of 2.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115945\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-42.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-42.jpg\" width=\"605\" height=\"1084\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-42.jpg 455w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-42-167x300.jpg 167w\" sizes=\"(max-width: 605px) 100vw, 605px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115946\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-42a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-42a.jpg\" width=\"647\" height=\"1299\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-42a.jpg 421w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-42a-149x300.jpg 149w\" sizes=\"(max-width: 647px) 100vw, 647px\" \/><\/p>\n<p>Question 43.<br \/>\n<b>REASONING<\/b> The graph of g(x) = -4 |x | + 2 is a reflection in the x-axis, vertical stretch by a factor of 4, and a translation 2 units down of the graph of its parent function. Choose the correct order for the transformations of the graph of the parent function to obtain the graph of g. Explain your reasoning.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45285\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-43.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 43\" width=\"583\" height=\"195\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-43.png 583w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-43-300x100.png 300w\" sizes=\"(max-width: 583px) 100vw, 583px\" \/><\/p>\n<p>Question 44.<br \/>\n<b>THOUGHT PROVOKING <\/b>You are planning a cross-country bicycle trip of 4320 miles. Your distance d (in miles) from the halfway point can be modeled by d = 72 |x &#8211; 30 |, where x is the time (in days) and x = 0 represents June 1. Your plans are altered so that the model is now a right shift of the original model. Give an example of how this can happen. Sketch both the original model and the shifted model.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115947\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-44.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-44.jpg\" width=\"648\" height=\"845\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-44.jpg 648w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-44-230x300.jpg 230w\" sizes=\"(max-width: 648px) 100vw, 648px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-115948\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-44a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-44a.jpg\" width=\"504\" height=\"327\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-44a.jpg 576w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.2-44a-300x194.jpg 300w\" sizes=\"(max-width: 504px) 100vw, 504px\" \/><\/p>\n<p>Question 45.<br \/>\n<b>CRITICAL THINKING<\/b> Use the correct value 0, -2, or 1 with a, b, and c so the graph of g(x) = a|x &#8211; b | + c is a reflection in the x-axis followed by a translation one unit to the left and one unit up of the graph of f(x) = 2 |x &#8211; 2 | + 1. Explain your reasoning.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45286\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-45.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 45\" width=\"585\" height=\"168\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-45.png 585w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-45-300x86.png 300w\" sizes=\"(max-width: 585px) 100vw, 585px\" \/><\/p>\n<p><b>Maintaining Mathematical Proficiency<\/b><\/p>\n<p><b>Evaluate the function for the given value of x. <\/b>(Skills Review Handbook)<\/p>\n<p>Question 46.<br \/>\nf(x) = x + 4; x = 3<br \/>\nAnswer:<br \/>\nGiven function is f(x) = x + 4<br \/>\nwhen x = 4<br \/>\nf(x) = x + 4<br \/>\nf(x) = 3 + 4 = 7<br \/>\nSo, f(x) = 7<\/p>\n<p>Question 47.<br \/>\nf(x) = 4x &#8211; 1; x = -1<br \/>\nAnswer:<br \/>\nf(x) = 4x &#8211; 1<br \/>\nx = -1<br \/>\nf(-1) = 4(-1) &#8211; 1<br \/>\n= -4 &#8211; 1 = -5<br \/>\nSo, f(-1) = -5<\/p>\n<p>Question 48.<br \/>\nf(x) = -x + 3; x = 5<br \/>\nAnswer:<br \/>\nGiven function is f(x) = -x + 3<br \/>\nwhen x = 5<br \/>\nf(-5) = -(5) + 3<br \/>\n= -5 + 3 = -2<\/p>\n<p>Question 49.<br \/>\nf(x) = -2x &#8211; 2; x = -1<br \/>\nAnswer:<br \/>\nf(x) = -2x &#8211; 2<br \/>\nx = -1<br \/>\nf(-1) = -2(-1) &#8211; 2<br \/>\n= 2 &#8211; 2 = 0<\/p>\n<p><b>Create a scatter plot of the data.<\/b> (Skills Review Handbook)<\/p>\n<p>Question 50.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39027\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-45.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 45\" width=\"280\" height=\"80\" \/><br \/>\nAnswer:<br \/>\nThe coordinates are (8, 4), (10, 9), (11, 10), (12, 12) and (15, 12). Plot the points on the graph.<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/04\/29\/1df2acc2dcbe93e65d8cb52e92741df7\/f10724632948fae7d924e7cad33e56bf\/21b73ecf5caf452489148d50b70e0aca.png?tcb=1623089500\" \/><\/p>\n<p>Question 51.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39028\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-46.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 46\" width=\"284\" height=\"75\" \/><br \/>\nAnswer:<br \/>\nThe coordinates are (2, 22), (5, 13), (6, 15), (10, 12) and (13, 6).<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45291\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.2-Question-51.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.2 Question 51\" width=\"255\" height=\"173\" \/><\/p>\n<h3><a id=\"Linear_Functions_Study_Skills_Taking_Control_of_Your_Class_Time\"><\/a>Linear Functions Study Skills Taking Control of Your Class Time<\/h3>\n<p><b>1.1 \u2013 1.2 What Did You Learn?<\/b><\/p>\n<p><b>Core Vocabulary<\/b><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39029\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-47.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 47\" width=\"534\" height=\"75\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-47.png 534w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-47-300x42.png 300w\" sizes=\"(max-width: 534px) 100vw, 534px\" \/><\/p>\n<p><b>Core Concepts<\/b><\/p>\n<p><b>Section 1.1<\/b><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39030\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-48.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 48\" width=\"614\" height=\"37\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-48.png 614w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-48-300x18.png 300w\" sizes=\"(max-width: 614px) 100vw, 614px\" \/><\/p>\n<p><b>Section 1.2<\/b><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39031\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-49.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 49\" width=\"660\" height=\"78\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-49.png 660w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-49-300x35.png 300w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p><b>Mathematical Practices<\/b><\/p>\n<p>Question 1.<br \/>\nHow can you analyze the values given in the table in Exercise 45 on page 9 to help you determine what type of function models the data?<\/p>\n<p>Question 2.<br \/>\nExplain how you would round your answer in Exercise 10 on page 16 if the extra expense is $13,500.<\/p>\n<p><b>Study Skills<\/b><\/p>\n<p><b>Taking Control of Your Class Time<\/b><\/p>\n<p>Question 1.<br \/>\nSit where you can easily see and hear the teacher, and the teacher can see you.<\/p>\n<p>Question 2.<br \/>\nPay attention to what the teacher says about math, not just what is written on the board.<\/p>\n<p>Question 3.<br \/>\nAsk a question if the teacher is moving through the material too fast.<\/p>\n<p>Question 4.<br \/>\nTry to memorize new information while learning it.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39032\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-50.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 50\" width=\"442\" height=\"305\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-50.png 442w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-50-300x207.png 300w\" sizes=\"(max-width: 442px) 100vw, 442px\" \/><\/p>\n<p>Question 5.<br \/>\nAsk for clarification if you do not understand something.<\/p>\n<p>Question 6.<br \/>\nThink as intensely as if you were going to take a quiz on the material at the end of class.<\/p>\n<p>Question 7.<br \/>\nVolunteer when the teacher asks for someone to go up to the board.<\/p>\n<p>Question 8.<br \/>\nAt the end of class, identify concepts or problems for which you still need clarification.<\/p>\n<p>Question 9.<br \/>\nUse the tutorials at BigIdeasMath.com for additional help.<\/p>\n<h3><a id=\"Linear_Functions_1.1-1.2_Quiz\"><\/a>Linear Functions 1.1-1.2 Quiz<\/h3>\n<p><b>Identify the function family to which g belongs. Compare the graph of the function to the graph of its parent function. <\/b>(Section 1.1)<\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39033\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-51.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 51\" width=\"219\" height=\"184\" \/><br \/>\nAnswer:<br \/>\nThe given function is linear.<br \/>\nThe function g is shifted down and the slope of g is smaller than the slope of the parent linear function.<br \/>\nThe domain of g and its parent function is all real numbers and the range of g and its parent function is all real numbers.<\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39034\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-52.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 52\" width=\"234\" height=\"205\" \/><br \/>\nAnswer:<br \/>\nThe function g is a quadratic function. Function g is shifted left and g is narrower than the parent quadratic function.<br \/>\nThe domain of g and its parent function is all real numbers and the range of g and its parent function is y &gt; 0.<\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39035\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-53.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 53\" width=\"239\" height=\"182\" \/><br \/>\nAnswer:<br \/>\nFunction g is an absolute value function. Function g is shifted left and up.<br \/>\nThe domain of g and its parent function is all real numbers but the range of g is y &gt; -2 and the range of its parent function is y &gt; 0.<\/p>\n<p><b>Graph the function and its parent function. Then describe the transformation. <\/b>(Section 1.1)<\/p>\n<p>Question 4.<br \/>\nf(x) = \\(\\frac{3}{2}\\)<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-115950\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-quiz-Exercise-1.11.2-4JPG.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-quiz-Exercise-1.11.2-4JPG.jpg\" width=\"680\" height=\"355\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-quiz-Exercise-1.11.2-4JPG.jpg 680w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-quiz-Exercise-1.11.2-4JPG-300x157.jpg 300w\" sizes=\"(max-width: 680px) 100vw, 680px\" \/><\/p>\n<p>Question 5.<br \/>\nf(x) = 3x<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nf(x) = 3x<br \/>\nx = 0<br \/>\ny = 3(0) = 0<br \/>\nx = 1<br \/>\ny = 3(1) = 3<br \/>\nx = 2<br \/>\ny = 3(2) = 6<br \/>\nx = -1<br \/>\ny = 3(-1) = -3<br \/>\nx = -2<br \/>\ny = 3(-2) = -6<br \/>\n(0, 0), (1, 3), (2, 6), (-1, -3), (-2, -6).<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-186636\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Linear-Functions-1.1-1.2-Quiz_5-238x300.png\" alt=\"Big Ideas Math Answers Linear Functions 1.1-1.2 Quiz_5\" width=\"238\" height=\"300\" \/><\/p>\n<p>Question 6.<br \/>\nf(x) = 2(x &#8211; 1)\u00b2<br \/>\nAnswer:<br \/>\nf(x) = 2(x &#8211; 1)\u00b2<br \/>\nx = 0<br \/>\nf(x) = 2(0 &#8211; 1)\u00b2 = 2<br \/>\n(0, 2)<br \/>\nx = 1<br \/>\nf(x) = 2(1 &#8211; 1)\u00b2 = 0<br \/>\nx = 2<br \/>\nf(x) = 2(2 &#8211; 1)\u00b2 = 2<br \/>\nx = -1<br \/>\nf(x) = 2(-1 &#8211; 1)\u00b2 = 8<br \/>\n(0, 2), (1, 0), (2, 2) and (-1, 8).<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-186637\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Linear-Functions-1.1-1.2-Quiz_6-218x300.png\" alt=\"Big Ideas Math Answers Linear Functions 1.1-1.2 Quiz_6\" width=\"218\" height=\"300\" \/><\/p>\n<p>Question 7.<br \/>\nf(x) = &#8211; | x + 2 | &#8211; 7<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-186638\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Linear-Functions-1.1-1.2-Quiz_7-300x282.png\" alt=\"Big Ideas Math Answers Linear Functions 1.1-1.2 Quiz_7\" width=\"300\" height=\"282\" \/><\/p>\n<p>Question 8.<br \/>\nf(x) = \\(\\frac{1}{4}\\)x<sup>2<\/sup> + 1<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-186639\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Linear-Functions-1.1-1.2-Quiz_8-190x300.png\" alt=\"Big Ideas Math Answers Linear Functions 1.1-1.2 Quiz_8\" width=\"190\" height=\"300\" \/><\/p>\n<p>Question 9.<br \/>\nf(x) = &#8211;\\(\\frac{1}{2}\\)x &#8211; 4<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nf(x) = &#8211;\\(\\frac{1}{2}\\)x &#8211; 4<br \/>\nx = 0<br \/>\ny = &#8211;\\(\\frac{1}{2}\\)(0) &#8211; 4 = -4<br \/>\nx = 1<br \/>\ny = &#8211;\\(\\frac{1}{2}\\)(1) &#8211; 4 = -4\\(\\frac{1}{2}\\)<br \/>\nx = 2<br \/>\ny = &#8211;\\(\\frac{1}{2}\\)(2) &#8211; 4 = -4 &#8211; 1 = -5<br \/>\nx = -1<br \/>\ny = &#8211;\\(\\frac{1}{2}\\)(-1) &#8211; 4 = -3\\(\\frac{1}{2}\\)<br \/>\nx = -2<br \/>\ny = &#8211;\\(\\frac{1}{2}\\)(-2) &#8211; 4 = -4 + 1 = -3<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-186640\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Linear-Functions-1.1-1.2-Quiz_9-300x231.png\" alt=\"Big Ideas Math Answers Linear Functions 1.1-1.2 Quiz_9\" width=\"300\" height=\"231\" \/><\/p>\n<p><b>Write a function g whose graph represents the indicated transformation of the graph of f. <\/b>(Section 1.2)<\/p>\n<p>Question 10.<br \/>\nf(x) = 2x + 1; translation 3 units up<br \/>\nAnswer:<br \/>\nGiven function is f(x) = 2x + 1<br \/>\nThe vertex is (0, 1) of the original graph to move the vertex up by 3 units just add 3 to the y-intercept.<br \/>\ng(x) = 2x + 4<\/p>\n<p>Question 11.<br \/>\nf(x) = -3 | x &#8211; 4 | ; vertical shrink by a factor of \\(\\frac{1}{2}\\)<br \/>\nAnswer:<br \/>\nGiven the function is f(x) = -3 | x &#8211; 4 | to vertically shrink a function by a factor by c, multiply the whole function by c f(x) vertically shrunk by a factor of c would be cf(x)<br \/>\nso f(x) = -3 | x &#8211; 4 | vertically shrunk by a factor of 1\/2 would be f(x) = (-3\/2) |x &#8211; 4|<\/p>\n<p>Question 12.<br \/>\nf(x) = 3 | x + 5 |; reflection in the x-axis<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nf(x) = 3 | x + 5 |<br \/>\nThe points reflected in the x-axis have opposite y-coordinates<br \/>\nf(x) = -y<br \/>\n-y = -3 |x + 5|<br \/>\nf(x) = -3 |x + 5|<\/p>\n<p>Question 13.<br \/>\nf(x) = \\(\\frac{1}{3}\\)x &#8211; \\(\\frac{2}{3}\\) ; translation 4 units left<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nf(x) = \\(\\frac{1}{3}\\)x &#8211; \\(\\frac{2}{3}\\)<br \/>\n= \\(\\frac{1}{3}\\) (x &#8211; 2)<br \/>\n= \\(\\frac{1}{3}\\) (x &#8211; 2 + 4)<br \/>\n= \\(\\frac{1}{3}\\) (x + 2)<br \/>\n= \\(\\frac{1}{3}\\)x + \\(\\frac{2}{3}\\)<br \/>\nSo, the translation 4 units left is f(x) = \\(\\frac{1}{3}\\)x + \\(\\frac{2}{3}\\)<\/p>\n<p><b>Write a function g whose graph represents the indicated transformations of the graph of f. <\/b>(Section 1.2)<\/p>\n<p>Question 14.<br \/>\nLet g be a translation 2 units down and a horizontal shrink by a factor of \\(\\frac{2}{3}\\) of the graph of f(x) =x.<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nf(x) =x<br \/>\nhorizontal shrink by a factor of \\(\\frac{2}{3}\\)<br \/>\nf(x) = \\(\\frac{3}{2}\\)x<br \/>\nf(x) = \\(\\frac{3}{2}\\)x &#8211; 2<br \/>\ng(x) =\\(\\frac{3}{2}\\)x &#8211; 2<br \/>\nSo, the translation 2 units down and a horizontal shrink by a factor of \\(\\frac{2}{3}\\) is g(x) =\\(\\frac{3}{2}\\)x &#8211; 2<\/p>\n<p>Question 15.<br \/>\nLet g be a translation 9 units down followed by a reflection in the y-axis of the graph of f(x) = x.<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nf(x) =x<br \/>\ng(x) = f(x) &#8211; 9<br \/>\nIt is also reflected about the y-axis.<br \/>\ng(x) = f(-x) &#8211; 9<br \/>\nSo, the translation 9 units down followed by a reflection in the y-axis is g(x) = f(-x) &#8211; 9<\/p>\n<p>Question 16.<br \/>\nLet g be a reflection in the x-axis and a vertical stretch by a factor of 4 followed by a translation 7 units down and 1 unit right of the graph of f(x) = | x |.<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nf(x) = |x|<br \/>\ng(x) = bf(x)<br \/>\nReflecting function over the x-axis<br \/>\ng(x) = -f(x)<br \/>\nOriginal function is f(x) = -|x|<br \/>\nStretching by a factor of 4 means we have to multiply by 4.<br \/>\ng(x) = -4|x|<br \/>\ng(x) = -4x<br \/>\ntranslation 7 units down and 1 unit right of the graph of f(x) = | x |<br \/>\ng(x) = -4x &#8211; 7 -1<br \/>\ng(x) = -4x &#8211; 8<br \/>\ng(x) = -4(x + 2)<br \/>\nSo, reflection in the x-axis and a vertical stretch by a factor of 4 followed by a translation 7 units down and 1 unit right is g(x) = -4(x + 2).<\/p>\n<p>Question 17.<br \/>\nLet g be a translation 1 unit down and 2 units left followed by a vertical shrink by a factor of \\(\\frac{1}{2}\\) of the graph of f(x) = | x |.<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nf(x) = |x|<br \/>\nMultiply output with 1\/2 to vertically shrink function<br \/>\ng(x) = 1\/2 |x|<br \/>\nSubtract 1 to the output of the function to translate 1 unit down and 2 units left.<br \/>\ng(x) = 1\/2 |x| &#8211; 1 -2<br \/>\ng(x) = 1\/2 |x| &#8211; 3<br \/>\nSo, translation 1 unit down and 2 units left followed by a vertical shrink by a factor of \\(\\frac{1}{2}\\) is g(x) = 1\/2 |x| &#8211; 3.<\/p>\n<p>Question 18.<br \/>\nThe table shows the total distance a new car travels each month after it is purchased. What type of function can you use to model the data? Estimate the mileage after 1 year. (Section 1.1)<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39036\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-54.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 54\" width=\"465\" height=\"79\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-54.png 465w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-54-300x51.png 300w\" sizes=\"(max-width: 465px) 100vw, 465px\" \/><br \/>\nAnswer:<br \/>\nFrom the given data in the above table,<br \/>\n2 months = 2300<br \/>\n5 months = 5750<br \/>\n6 months = 6900<br \/>\n9 months = 10,350<br \/>\n1 month = 2300\/2 = 1150<br \/>\n12 months = 1150 \u00d7 12 = 13800<br \/>\nThe mileage after 1 year is 13800.<br \/>\nThe estimated mileage after 1 year is 14,000 miles.<\/p>\n<p>Question 19.<br \/>\nThe total cost of an annual pass plus camping for x days in a National Park can be modeled by the function f(x) = 20x+ 80. Senior citizens pay half of this price and receive an additional $30 discount. Describe how to transform the graph of f to model the total cost for a senior citizen. What is the total cost for a senior citizen to go camping for three days? (Section 1.2)<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nThe total cost of an annual pass plus camping for x days in a National Park can be modeled by the function f(x) = 20x+ 80.<br \/>\nSenior citizens pay half of this price and receive an additional $30 discount.<br \/>\nFor senior citizen cost<br \/>\n= 1\/2 (20x + 80) &#8211; 30<br \/>\n= 10x + 40 &#8211; 30<br \/>\n= 10x + 10<br \/>\n= 10(x + 1)<br \/>\nx = 3<br \/>\n= 10(3 + 1)<br \/>\n= 10(4)<br \/>\n= $40<br \/>\nThus the total cost for a senior citizen to go camping for three days is $40.<\/p>\n<h3><a id=\"Lesson_1.3_Modeling_with_Linear_Functions\"><\/a>Lesson 1.3 Modeling with Linear Functions<\/h3>\n<p><b>Essential Question<\/b><br \/>\nHow can you use a linear function to model and analyze a real-life situation?<\/p>\n<p><b>EXPLORATION 1<br \/>\nModeling with a Linear Function<br \/>\nWork with a partner.<\/b> A company purchases a copier for $12,000. The spreadsheet shows how the copier depreciates over an 8-year period.<br \/>\na. Write a linear function to represent the value V of the copier as a function of the number t of years.<br \/>\nb. Sketch a graph of the function. Explain why this type of depreciation is called straight line depreciation.<br \/>\nc. Interpret the slope of the graph in the context of the problem.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39052\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-55.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 55\" width=\"197\" height=\"241\" \/><br \/>\nAnswer:<br \/>\nGiven,<br \/>\nA company purchases a copier for $12,000.<br \/>\nThe spreadsheet shows how the copier depreciates over an 8-year period.<br \/>\nm = 12,000 &#8211; 10,750 = $1,250<br \/>\nb = 12,000<br \/>\nV = -1250t + 12,000<br \/>\nThe slope shows that for every year that passes, the value depreciates by $1250.<\/p>\n<p><b>EXPLORATION 2<\/b><br \/>\n<b>Modeling with Linear Functions<\/b><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39055\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-56.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 56\" width=\"253\" height=\"197\" \/><br \/>\n<b>Work with a partner.<\/b> Match each description of the situation with its corresponding graph. Explain your reasoning.<br \/>\na. A person gives $20 per week to a friend to repay a $200 loan.<br \/>\nb. An employee receives $12.50 per hour plus $2 for each unit produced per hour.<br \/>\nc. A sales representative receives $30 per day for food plus $0.565 for each mile driven.<br \/>\nd. A computer that was purchased for $750 depreciates $100 per year.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39054\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-56.1.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 56.1\" width=\"467\" height=\"277\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-56.1.png 467w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-56.1-300x178.png 300w\" sizes=\"(max-width: 467px) 100vw, 467px\" \/><\/p>\n<p><b>Communicate Your Answer<\/b><\/p>\n<p>Question 3.<br \/>\nHow can you use a linear function to model and analyze a real-life situation?<br \/>\nAnswer:<br \/>\nOne of the real-life situations is finding Variable costs.<br \/>\nImagine that you are taking a taxi while on vacation. You know that the taxi service charges 9 rupees to pick your family up from your hotel and another 0.15 rupees per mile for the trip. Without knowing how many miles it will be to each destination, you can set up a linear equation that can be used to find the cost of any taxi trip you take on your trip. By using\u2032 \u2032x\u2032\u2032 to represent the number of miles to your destination and \u201dy\u2032\u2032 to represent the cost of that taxi ride, the linear equation would be: y = 0.15x+9<\/p>\n<p>Question 4.<br \/>\nUse the Internet or some other reference to find a real-life example of straight line depreciation.<br \/>\na. Use a spreadsheet to show the depreciation.<br \/>\nAnswer:<br \/>\nThe real-life example of straight-line depreciation is the decrease of the speed of the car by ten meters per second which was moving with an initial speed of a hundred meter per second till the speed reaches thirty meters per second.<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"399\"><strong>Speed<\/strong><\/td>\n<td width=\"399\"><strong>Time (in second)<\/strong><\/td>\n<\/tr>\n<tr>\n<td width=\"399\">100<\/td>\n<td width=\"399\">0<\/td>\n<\/tr>\n<tr>\n<td width=\"399\">90<\/td>\n<td width=\"399\">1<\/td>\n<\/tr>\n<tr>\n<td width=\"399\">80<\/td>\n<td width=\"399\">2<\/td>\n<\/tr>\n<tr>\n<td width=\"399\">70<\/td>\n<td width=\"399\">3<\/td>\n<\/tr>\n<tr>\n<td width=\"399\">60<\/td>\n<td width=\"399\">4<\/td>\n<\/tr>\n<tr>\n<td width=\"399\">50<\/td>\n<td width=\"399\">5<\/td>\n<\/tr>\n<tr>\n<td width=\"399\">40<\/td>\n<td width=\"399\">6<\/td>\n<\/tr>\n<tr>\n<td width=\"399\">30<\/td>\n<td width=\"399\">7<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>b. Write a function that models the depreciation.<br \/>\nAnswer:<br \/>\nThe real-life example of straight-line depreciation is the decrease of the speed of the car by ten meters per second which was moving with an initial speed of a hundred meter per second till the speed reaches thirty meters per second.<br \/>\nThe function that represents the statement is y = 100 &#8211; 10x, where y is speed and x is time.<\/p>\n<p>c. Sketch a graph of the function.<br \/>\nAnswer:<br \/>\ny = 100 &#8211; 10x<br \/>\nx = 7<br \/>\ny = 100 &#8211; 10(7)<br \/>\ny = 100 &#8211; 70<br \/>\ny = 30<br \/>\nwhen x = 0<br \/>\ny = 100<br \/>\nwhen x = 4<br \/>\ny = 60<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-186642\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-chapter-1-Lesson-1.3-Modeling-with-Linear-Functions_4-300x300.png\" alt=\"Big Ideas Math Answers Algebra 2 chapter 1 Lesson 1.3 Modeling with Linear Functions_4\" width=\"300\" height=\"300\" \/><\/p>\n<p><b>1.3 Lesson<\/b><\/p>\n<p><b>Monitoring Progress<\/b><\/p>\n<p>Question 1.<br \/>\nThe graph shows the remaining balance y on a car loan after making x monthly payments. Write an equation of the line and interpret the slope and y-intercept. What is the remaining balance after 36 payments?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39056\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-57.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 57\" width=\"300\" height=\"208\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116014\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-1.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-1.jpg\" width=\"517\" height=\"497\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-1.jpg 517w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-1-300x288.jpg 300w\" sizes=\"(max-width: 517px) 100vw, 517px\" \/><br \/>\nQuestion 2.<br \/>\n<b>WHAT IF?<\/b> Maple Ridge charges a rental fee plus a $10 fee per student. The total cost is $1900 for 140 students. Describe the number of students that must attend for the total cost at Maple Ridge to be less than the total costs at the other two venues. Use a graph to justify your answer.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116022\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-2.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-2.jpg\" width=\"472\" height=\"693\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-2.jpg 472w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-2-204x300.jpg 204w\" sizes=\"(max-width: 472px) 100vw, 472px\" \/><\/p>\n<p>Question 3.<br \/>\nThe table shows the humerus lengths (in centimeters) and heights (in centimeters) of several females.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39057\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-58.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 58\" width=\"532\" height=\"76\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-58.png 532w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-58-300x43.png 300w\" sizes=\"(max-width: 532px) 100vw, 532px\" \/><br \/>\na. Do the data show a linear relationship? If so, write an equation of a line of fit and use it to estimate the height of a female whose humerus is 40 centimeters long.<br \/>\nb. Use the linear regression feature on a graphing calculator to find an equation of the line of best fit for the data. Estimate the height of a female whose humerus is 40 centimeters long. Compare this height to your estimate in part (a).<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116028\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-3-1.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-3-1.jpg\" width=\"475\" height=\"716\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-3-1.jpg 475w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-3-1-199x300.jpg 199w\" sizes=\"(max-width: 475px) 100vw, 475px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116029\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-3a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-3a.jpg\" width=\"500\" height=\"769\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-3a.jpg 500w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-Progress-Exercise-1.3-3a-195x300.jpg 195w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<h3><a id=\"Modeling_with_Linear_Functions_1.3_Exercises\"><\/a>Modeling with Linear Functions 1.3 Exercises<\/h3>\n<p>Question 1.<br \/>\n<b>COMPLETE THE SENTENCE<\/b> The linear equation y = \\(\\frac{1}{2}\\)x + 3 is written in ____________ form.<br \/>\nAnswer:<br \/>\nThe linear equation y = \\(\\frac{1}{2}\\)x + 3 is written in slope-intercept form.<\/p>\n<p>Question 2.<br \/>\n<b>VOCABULARY<\/b> A line of best fit has a correlation coefficient of -0.98. What can you conclude about the slope of the line?<br \/>\nAnswer:<br \/>\nThe slope of the graph with a correlation coefficient of -0.98 is negative.<\/p>\n<p><b>Monitoring Progress and Modeling with Mathematics<\/b><\/p>\n<p><b>In Exercises 3\u20138, use the graph to write an equation of the line and interpret the slope.<\/b><\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39058\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-59.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 59\" width=\"177\" height=\"193\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45296\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-3.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 3\" width=\"579\" height=\"199\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-3.png 579w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-3-300x103.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><\/p>\n<p>Question 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39059\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-60.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 60\" width=\"182\" height=\"214\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116044\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-4.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-4.jpg\" width=\"642\" height=\"484\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-4.jpg 642w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-4-300x226.jpg 300w\" sizes=\"(max-width: 642px) 100vw, 642px\" \/><\/p>\n<p>Question 5.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39060\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-61.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 61\" width=\"171\" height=\"229\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45297\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-5.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 5\" width=\"581\" height=\"242\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-5.png 581w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-5-300x125.png 300w\" sizes=\"(max-width: 581px) 100vw, 581px\" \/><\/p>\n<p>Question 6.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39061\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-62.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 62\" width=\"176\" height=\"215\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116045\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-6.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-6.jpg\" width=\"669\" height=\"457\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-6.jpg 669w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-6-300x205.jpg 300w\" sizes=\"(max-width: 669px) 100vw, 669px\" \/><\/p>\n<p>Question 7.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39063\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-63.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 63\" width=\"176\" height=\"230\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45305\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-7.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 7\" width=\"563\" height=\"244\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-7.png 563w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-7-300x130.png 300w\" sizes=\"(max-width: 563px) 100vw, 563px\" \/><\/p>\n<p>Question 8.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39064\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-64.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 64\" width=\"187\" height=\"194\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116046\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-8.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-8.jpg\" width=\"707\" height=\"482\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-8.jpg 707w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-8-300x205.jpg 300w\" sizes=\"(max-width: 707px) 100vw, 707px\" \/><\/p>\n<p>Question 9.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b> Two newspapers charge a fee for placing an advertisement in their paper plus a fee based on the number of lines in the advertisement. The table shows the total costs for different length advertisements at the Daily Times. The total cost y (in dollars) for an advertisement that is x lines long at the Greenville Journal is represented by the equation y = 2x + 20. Which newspaper charges less per line? How many lines must be in an advertisement for the total costs to be the same?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39065\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-65.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 65\" width=\"214\" height=\"227\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45308\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-9.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 9.1\" width=\"592\" height=\"319\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-9.1.png 592w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-9.1-300x162.png 300w\" sizes=\"(max-width: 592px) 100vw, 592px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45309\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-9.2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 9.2\" width=\"596\" height=\"427\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-9.2.png 596w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-9.2-300x215.png 300w\" sizes=\"(max-width: 596px) 100vw, 596px\" \/><\/p>\n<p>Question 10.<br \/>\n<b>PROBLEM SOLVING<\/b> While on vacation in Canada, you notice that temperatures are reported in degrees Celsius. You know there is a linear relationship between Fahrenheit and Celsius, but you forget the formula. From science class, you remember the freezing point of water is 0\u00b0C or 32\u00b0F, and its boiling point is 100\u00b0C or 212\u00b0F.<br \/>\na. Write an equation that represents degrees Fahrenheit in terms of degrees Celsius.<br \/>\nb. The temperature outside is 22\u00b0C. What is this temperature in degrees Fahrenheit?<br \/>\nc. Rewrite your equation in part (a) to represent degrees Celsius in terms of degrees Fahrenheit.<br \/>\nd. The temperature of the hotel pool water is 83\u00b0F. What is this temperature in degrees Celsius?<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116047\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-10.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-10.jpg\" width=\"575\" height=\"721\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-10.jpg 575w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-10-239x300.jpg 239w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116049\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-10a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-10.jpg\" width=\"590\" height=\"812\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-10a.jpg 590w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-10a-218x300.jpg 218w\" sizes=\"(max-width: 590px) 100vw, 590px\" \/><\/p>\n<p><b>ERROR ANALYSIS In Exercises 11 and 12, describe and correct the error in interpreting the slope in the context of the situation.<\/b><\/p>\n<p>Question 11.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39066\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-66.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 66\" width=\"373\" height=\"304\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-66.png 373w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-66-300x245.png 300w\" sizes=\"(max-width: 373px) 100vw, 373px\" \/><br \/>\nAnswer:<br \/>\nGiven that the slope of the line is 10, after 7 years the balance is $70.<br \/>\nThe slope was correctly used in the situation, however, the intercept was not used correctly.<br \/>\nIn this situation, the starting balance is $100, so after 7 years the balance is 100 + 70 = $170.<\/p>\n<p>Question 12.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39067\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-67.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 67\" width=\"381\" height=\"318\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-67.png 381w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-67-300x250.png 300w\" sizes=\"(max-width: 381px) 100vw, 381px\" \/><br \/>\nAnswer:<br \/>\nHere the slope m = 3<br \/>\nThe income is $3 per hour.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116051\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-12.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-12.jpg\" width=\"708\" height=\"233\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-12.jpg 708w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-12-300x99.jpg 300w\" sizes=\"(max-width: 708px) 100vw, 708px\" \/><\/p>\n<p><b>In Exercises 13\u201316, determine whether the data show a linear relationship. If so, write an equation of a line of fit. Estimate y when x = 15 and explain its meaning in the context of the situation.<\/b><\/p>\n<p>Question 13.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39068\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-68.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 68\" width=\"362\" height=\"74\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-68.png 362w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-68-300x61.png 300w\" sizes=\"(max-width: 362px) 100vw, 362px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45311\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-13.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 13.1\" width=\"587\" height=\"412\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-13.1.png 587w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-13.1-300x211.png 300w\" sizes=\"(max-width: 587px) 100vw, 587px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45312\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-13.2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 13.2\" width=\"621\" height=\"504\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-13.2.png 621w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-13.2-300x243.png 300w\" sizes=\"(max-width: 621px) 100vw, 621px\" \/><\/p>\n<p>Question 14.<\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116055\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-14.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-14.jpg\" width=\"667\" height=\"453\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-14.jpg 667w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-14-300x204.jpg 300w\" sizes=\"(max-width: 667px) 100vw, 667px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116090\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-14a-1.jpg\" alt=\"\" width=\"654\" height=\"773\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-14a-1.jpg 654w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-14a-1-254x300.jpg 254w\" sizes=\"(max-width: 654px) 100vw, 654px\" \/><\/p>\n<p>Question 15.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39070\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-70.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 70\" width=\"352\" height=\"81\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-70.png 352w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-70-300x69.png 300w\" sizes=\"(max-width: 352px) 100vw, 352px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45313\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-15.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 15.1\" width=\"596\" height=\"457\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-15.1.png 596w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-15.1-300x230.png 300w\" sizes=\"(max-width: 596px) 100vw, 596px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116091\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-12-1.jpg\" alt=\"\" width=\"708\" height=\"233\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-12-1.jpg 708w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-12-1-300x99.jpg 300w\" sizes=\"(max-width: 708px) 100vw, 708px\" \/><\/p>\n<p>Question 16.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39071\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-71.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 71\" width=\"363\" height=\"77\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-71.png 363w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-71-300x64.png 300w\" sizes=\"(max-width: 363px) 100vw, 363px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116058\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-16.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-16.jpg\" width=\"644\" height=\"385\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-16.jpg 644w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-16-300x179.jpg 300w\" sizes=\"(max-width: 644px) 100vw, 644px\" \/><\/p>\n<p>Question 17.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b> The data pairs (x, y) represent the average annual tuition y (in dollars) for public colleges in the United States x years after 2005. Use the linear regression feature on a graphing calculator to find an equation of the line of best fit. Estimate the average annual tuition in 2020. Interpret the slope and y-intercept in this situation.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39072\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-72.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 72\" width=\"252\" height=\"61\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45315\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-17.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 17\" width=\"603\" height=\"282\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-17.png 603w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-17-300x140.png 300w\" sizes=\"(max-width: 603px) 100vw, 603px\" \/><\/p>\n<p>Question 18.<br \/>\n<b>MODELING WITH MATHEMATICS <\/b>The table shows the numbers of tickets sold for a concert when different prices are charged. Write an equation of a line of fit for the data. Does it seem reasonable to use your model to predict the number of tickets sold when the ticket price is $85? Explain.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39073\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-73.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 73\" width=\"325\" height=\"98\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-73.png 325w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-73-300x90.png 300w\" sizes=\"(max-width: 325px) 100vw, 325px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116089\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-18-1.jpg\" alt=\"\" width=\"632\" height=\"451\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-18-1.jpg 632w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-18-1-300x214.jpg 300w\" sizes=\"(max-width: 632px) 100vw, 632px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-116061\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-18a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-18a.jpg\" width=\"527\" height=\"600\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-18a.jpg 719w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-18a-264x300.jpg 264w\" sizes=\"(max-width: 527px) 100vw, 527px\" \/><\/p>\n<p><b>USING TOOLS In Exercises 19\u201324, use the linear regression feature on a graphing calculator to find an equation of the line of best fit for the data. Find and interpret the correlation coefficient.<\/b><\/p>\n<p>Question 19.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39074\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-74.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 74\" width=\"150\" height=\"136\" \/><br \/>\nAnswer:<br \/>\nUse the graphing calculator to find the equation of the line of best fit for the data.<br \/>\nEnter the data into two lists.<br \/>\nThe line of best fit is y = 0.42x + 1.44<br \/>\nThe correlation coefficient is r \u2248 0.61.<br \/>\nThis represents a weak positive correlation.<\/p>\n<p>Question 20.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39075\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-75.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 75\" width=\"152\" height=\"140\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116062\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-20.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-20.jpg\" width=\"709\" height=\"815\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-20.jpg 709w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-20-261x300.jpg 261w\" sizes=\"(max-width: 709px) 100vw, 709px\" \/><\/p>\n<p>Question 21.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39076\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-76.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 76\" width=\"146\" height=\"133\" \/><br \/>\nAnswer:<br \/>\nUse the graphing calculator to find the equation of the line of best fit for the data.<br \/>\nEnter the data into two lists.<br \/>\nThe line of best fit is y = -0.45x + 4.26<br \/>\nThe correlation coefficient is r \u2248 -0.67<br \/>\nThis represents a weak negative correlation.<\/p>\n<p>Question 22.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39077\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-77.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 77\" width=\"155\" height=\"130\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116063\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-22.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-22.jpg\" width=\"724\" height=\"879\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-22.jpg 724w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-22-247x300.jpg 247w\" sizes=\"(max-width: 724px) 100vw, 724px\" \/><\/p>\n<p>Question 23.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39078\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-78.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 78\" width=\"150\" height=\"135\" \/><br \/>\nAnswer:<br \/>\nUse the graphing calculator to find the equation of the line of best fit for the data.<br \/>\nEnter the data into two lists.<br \/>\nThe line of best fit is y = 0.61x + 0.10<br \/>\nThe correlation coefficient is r \u2248 0.95.<br \/>\nThis represents a strong positive correlation.<\/p>\n<p>Question 24.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39079\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-79.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 79\" width=\"158\" height=\"134\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116064\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-24.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-24.jpg\" width=\"728\" height=\"872\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-24.jpg 728w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-24-250x300.jpg 250w\" sizes=\"(max-width: 728px) 100vw, 728px\" \/><\/p>\n<p>Question 25.<br \/>\n<b>OPEN-ENDED<\/b> Give two real-life quantities that have<br \/>\n(a) a positive correlation,<br \/>\n(b) a negative correlation, and<br \/>\n(c) approximately no correlation. Explain.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45331\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-25.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 25\" width=\"583\" height=\"263\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-25.png 583w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-25-300x135.png 300w\" sizes=\"(max-width: 583px) 100vw, 583px\" \/><\/p>\n<p>Question 26.<br \/>\n<b>HOW DO YOU SEE IT? <\/b>You secure an interest-free loan to purchase a boat. You agree to make equal monthly payments for the next two years. The graph shows the amount of money you still owe.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39080\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-80.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 80\" width=\"233\" height=\"228\" \/><br \/>\na. What is the slope of the line? What does the slope represent?<br \/>\nAnswer:<br \/>\nThe points are (0, 30), (24, 0) are on the line.<br \/>\nWe can assume the slope is k.<br \/>\nk = (30-0)\/(0-24) = -5\/4<br \/>\nAnd the slope represents the amount of money to be paid monthly<\/p>\n<p>b. What is the domain and range of the function? What does each represent?<br \/>\nAnswer:<br \/>\nBecause x and y are linear functions, and<br \/>\nk = -5\/4, (0, 30) is on the function.<br \/>\ny = -5\/4 x + 30<br \/>\nAnd the domain is [0, 24] and the range is [0, 30] and the range represents the total money still to be paid.<\/p>\n<p>c. How much do you still owe after making payments for 12 months?<br \/>\nAnswer:<br \/>\ny = -5\/4 x + 30<br \/>\nwhen x = 12 and y = 15<br \/>\nSo, you still owe 15 hundred of dollars.<\/p>\n<p>Question 27.<br \/>\n<b>MAKING AN ARGUMENT<\/b> A set of data pairs has a correlation coefficient r = 0.3. Your friend says that because the correlation coefficient is positive, it is logical to use the line of best fit to make predictions. Is your friend correct? Explain your reasoning.<br \/>\nAnswer:<br \/>\nThe correlation coefficient is near to 0 and because of that, there line cannot help with the prediction.<br \/>\nYour friend is incorrect.<br \/>\nr = 0.3 is close to 0 than 1, the line of best fit will not make good predictions.<\/p>\n<p>Question 28.<br \/>\n<b>THOUGHT PROVOKING<\/b> Points A and B lie on the line y = -x + 4. Choose coordinates for points A, B, and C where point C is the same distance from point A as it is from point B. Write equations for the lines connecting points A and C and points B and C.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116092\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-28.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-28.jpg\" width=\"505\" height=\"532\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-28.jpg 505w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-28-285x300.jpg 285w\" sizes=\"(max-width: 505px) 100vw, 505px\" \/><\/p>\n<p>Question 29.<br \/>\n<b>ABSTRACT REASONING<\/b> If x and y have a positive correlation, and y and z have a negative correlation, then what can you conclude about the correlation between x and z? Explain.<br \/>\nAnswer:<br \/>\nAs x value increases, y increases the value of z also decreases.<br \/>\nThe correlation between x and z is negative.<\/p>\n<p>Question 30.<br \/>\n<b>MATHEMATICAL CONNECTIONS<\/b> Which equation has a graph that is a line passing through the point (8, -5) and is perpendicular to the graph of y = -4x + 1?<br \/>\nA. y = \\(\\frac{1}{4}\\)x &#8211; 5<br \/>\nB. y = -4x + 27<br \/>\nC. y = &#8211;\\(\\frac{1}{4}\\)x &#8211; 7<br \/>\nD. y = \\(\\frac{1}{4}\\)x &#8211; 7<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/18\/08\/24\/1db90d6a248220837800eba8047edca9\/967c6e58fca66b2ca5e8651d06e581df\/lateximg.png?tcb=1623205549\" \/><\/p>\n<p>Question 31.<br \/>\n<b>PROBLEM SOLVING<\/b> You are participating in an orienteering competition. The diagram shows the position of a river that cuts through the woods. You are currently 2 miles east and 1 mile north of your starting point, the origin. What is the shortest distance you must travel to reach the river?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39081\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-81.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 81\" width=\"223\" height=\"213\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45336\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-31.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 31.1\" width=\"581\" height=\"543\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-31.1.png 581w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-31.1-300x280.png 300w\" sizes=\"(max-width: 581px) 100vw, 581px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45337\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-31.2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 31.2\" width=\"579\" height=\"260\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-31.2.png 579w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-31.2-300x135.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><\/p>\n<p>Question 32.<br \/>\n<b>ANALYZING RELATIONSHIPS <\/b>Data from North American countries show a positive correlation between the number of personal computers per capita and the average life expectancy in the country.<br \/>\na. Does a positive correlation make sense in this situation? Explain.<br \/>\nAnswer:<br \/>\nIt makes sense. There is a positive correlation between the average life expectancy and the country&#8217;s level of advancement and also between a country&#8217;s level of advancement and the number of personal computers per person.<br \/>\nExample: When compared to the USA, a lot of African countries don&#8217;t have nearly as many personal computers per person.<\/p>\n<p>b. Is it reasonable to conclude that giving residents of a country personal computers will lengthen their lives? Explain.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39082\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answers-Algebra-2-Chapter-1-Linear-Functions-82.png\" alt=\"Big Ideas Math Answers Algebra 2 Chapter 1 Linear Functions 82\" width=\"291\" height=\"296\" \/><br \/>\nAnswer:<br \/>\nNo, the number of personal computers per capita is only an indicator that a country is more advanced, not a way to prolong someone&#8217;s life expectancy.<\/p>\n<p><b>Maintaining Mathematical Proficiency<\/b><\/p>\n<p><b>Solve the system of linear equations in two variables by elimination or substitution.<\/b> (Skills Review Handbook)<\/p>\n<p>Question 33.<br \/>\n3x + y = 7<br \/>\n-2x &#8211; y = 9<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45338\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-33.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 33\" width=\"593\" height=\"559\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-33.png 593w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-33-300x283.png 300w\" sizes=\"(max-width: 593px) 100vw, 593px\" \/><\/p>\n<p>Question 34.<br \/>\n4x + 3y = 2<br \/>\n2x &#8211; 3y = 1<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/18\/08\/25\/657547f18ebbf1a10eb23b794df401a1\/5f7aa98f067c718703d0c3ce024fb611\/lateximg.png?tcb=1623205684\" \/><\/p>\n<p>Question 35.<br \/>\n2x + 2y = 3<br \/>\nx = 4y &#8211; 1<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45339\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-35.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 35\" width=\"592\" height=\"623\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-35.png 592w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-35-285x300.png 285w\" sizes=\"(max-width: 592px) 100vw, 592px\" \/><\/p>\n<p>Question 36.<br \/>\ny = 1 + x<br \/>\n2x + y = -2<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/18\/08\/25\/0b9493c56879743121a181711dafd851\/26050d5d7fac772a542c3255a3079b60\/lateximg.png?tcb=1623205712\" \/><\/p>\n<p>Question 37.<br \/>\n\\(\\frac{1}{2}\\)x + 4y = 4<br \/>\n2x &#8211; y = 1<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45340\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-37.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 37.1\" width=\"573\" height=\"445\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-37.1.png 573w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-37.1-300x233.png 300w\" sizes=\"(max-width: 573px) 100vw, 573px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45341\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-37.2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.3 Question 37.2\" width=\"366\" height=\"193\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-37.2.png 366w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.3-Question-37.2-300x158.png 300w\" sizes=\"(max-width: 366px) 100vw, 366px\" \/><\/p>\n<p>Question 38.<br \/>\ny = x &#8211; 4<br \/>\n4x + y = 26<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/18\/08\/27\/1b8f0ffd21d66967988e604d4fe8568f\/991c14353785e12911495a46618360eb\/lateximg.png?tcb=1623205743\" \/><\/p>\n<h3><a id=\"Lesson_1.4_Solving_Linear_Systems\"><\/a>Lesson 1.4 Solving Linear Systems<\/h3>\n<p><b>Essential Question<\/b><br \/>\nHow can you determine the number of solutions of a linear system?<br \/>\nAnswer:<br \/>\nA linear system is said to be consistent when it has at least one solution. A linear system is said to be inconsistent when it has no solution.<\/p>\n<p><b>EXPLORATION 1<br \/>\nRecognizing Graphs of Linear Systems<br \/>\nWork with a partner.<\/b> Match each linear system with its corresponding graph. Explain your reasoning. Then classify the system as consistent or inconsistent.<br \/>\na. 2x &#8211; 3y = 3<br \/>\n-4x + 6y = 6<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38961\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-83.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 83\" width=\"179\" height=\"160\" \/><\/p>\n<p>Answer:<br \/>\n2x &#8211; 3y = 3 &#8212;- \u00d7 2 \u21d2 4x &#8211; 6y = 6<br \/>\n-4x + 6y = 6<\/p>\n<p>4x &#8211; 6y = 6<br \/>\n<span style=\"text-decoration: underline;\">-4x + 6y = 6<\/span><br \/>\n0 \u2260 6<br \/>\nIt has no solution.<br \/>\nSo, the linear system is inconsistent.<\/p>\n<p>b. 2x &#8211; 3y = 3<br \/>\nx + 2y = 5<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38962\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-84.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 84\" width=\"172\" height=\"162\" \/><\/p>\n<p>Answer:<br \/>\nGiven equations are<br \/>\n2x &#8211; 3y = 3<br \/>\nx + 2y = 5 &#8212;&#8211;eq.2 \u00d7 2<br \/>\n2x + 4y = 10<\/p>\n<p>Solve 1 &amp; 2<br \/>\n2x &#8211; 3y = 3<br \/>\n<span style=\"text-decoration: underline;\">(-)2x + 4y = 10<\/span><br \/>\n-7y = -7<br \/>\ny = 1<br \/>\nx + 2 = 5<br \/>\nx = 5 &#8211; 2<br \/>\nx = 3<br \/>\nSo, x = 3 and y = 1<br \/>\nIt has two solutions.<br \/>\nSo, the system is consistent<\/p>\n<p>c. 2x &#8211; 3y = 3<br \/>\n-4x + 6y = 6<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38963\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-85.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 85\" width=\"175\" height=\"160\" \/><\/p>\n<p>Answer:<br \/>\nGiven equations<br \/>\n2x &#8211; 3y = 3<br \/>\n-4x + 6y = 6<\/p>\n<p>2x &#8211; 3y = 3 &#8212;- \u00d7 2<br \/>\n-4x + 6y = 6<\/p>\n<p>Solving 1 &amp; 2,<br \/>\n4x &#8211; 6y = 6<br \/>\n<span style=\"text-decoration: underline;\">-4x + 6y = 6<\/span><br \/>\n0<br \/>\nSo, the linear system is inconsistent.<\/p>\n<p><b>EXPLORATION 2<br \/>\nSolving Systems of Linear Equations<br \/>\nWork with a partner.<\/b> Solve each linear system by substitution or elimination. Then use the graph of the system below to check your solution.<br \/>\na. 2x + y = 5<br \/>\nx &#8211; y = 1<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38964\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-86.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 86\" width=\"159\" height=\"158\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-86.png 159w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-86-150x150.png 150w\" sizes=\"(max-width: 159px) 100vw, 159px\" \/><br \/>\nAnswer:<br \/>\nGiven equations<br \/>\n2x + y = 5<br \/>\nx &#8211; y = 1<br \/>\nSolving Eq. 1 &amp; 2,<br \/>\n2x + y = 5<br \/>\n<span style=\"text-decoration: underline;\">x &#8211; y = 1<\/span><br \/>\n3x = 6<br \/>\nx = 6\/3<br \/>\nx = 2<br \/>\nSubstitute the value of x in the eq. (2)<br \/>\n2 &#8211; y = 1<br \/>\n2 &#8211; 1 = y<br \/>\ny = 1<br \/>\nThe linear system has one solution.<\/p>\n<p>b. x+ 3y = 1<br \/>\n-x + 2y = 4<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38965\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-87.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 87\" width=\"164\" height=\"156\" \/><br \/>\nAnswer:<br \/>\nGiven equations are x+ 3y = 1<br \/>\n-x + 2y = 4<\/p>\n<p>Solving 1 &amp; 2,<br \/>\nx+ 3y = 1<br \/>\n<span style=\"text-decoration: underline;\">-x + 2y = 4<\/span><br \/>\n5y = 5<br \/>\ny = 1<br \/>\nx + 3 = 1<br \/>\nx = 1 &#8211; 3<br \/>\nx = -2<br \/>\nThe linear system has one solution.<\/p>\n<p>c. x + y = 0<br \/>\n3x + 2y = 1<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38966\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-88.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 88\" width=\"167\" height=\"150\" \/><\/p>\n<p>Answer:<br \/>\nGiven equation,<br \/>\nMultiply eq. 1 by 2 to solving the equation<br \/>\nx + y = 0\u00a0 &#8212; \u00d7 2 = 2x + 2y = 0<br \/>\n3x + 2y = 1<\/p>\n<p>Solving 1 &amp; 2<br \/>\n2x + 2y = 0<br \/>\n<span style=\"text-decoration: underline;\">(-)3x + 2y = 1<\/span><br \/>\n-x = -1<br \/>\nx = 1<br \/>\nThe linear system has one solution.<\/p>\n<p><b>Communicate Your Answer<\/b><\/p>\n<p>Question 3.<br \/>\nHow can you determine the number of solutions of a linear system?<br \/>\nAnswer:<br \/>\nA linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c \u2208 R, a, and b \u2260 0. A system of linear equations usually has a single solution, but sometimes it can have no solution or an infinite solution. In the system of linear equations, we can find the number of solutions by comparing the coefficients of the variables of the given linear equations.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38967\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-89.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 89\" width=\"253\" height=\"177\" \/><br \/>\nQuestion 4.<br \/>\nSuppose you were given a system of three linear equations in three variables. Explain how you would approach solving such a system.<br \/>\nAnswer:<\/p>\n<ol>\n<li>Solve one equation for one of its variables.<\/li>\n<li>Substitute the expression from point 1 in the other two equations to obtain a linear system in two variables.<\/li>\n<li>Solve the new linear system for both of its variables.<\/li>\n<li>Substitute the values found in point 3 into one of the original equations and solve for the remaining variable.<\/li>\n<\/ol>\n<p>Question 5.<br \/>\nApply your strategy in Question 4 to solve the linear system.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38969\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-90.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 90\" width=\"275\" height=\"101\" \/><br \/>\nAnswer:<br \/>\nGiven three equations<br \/>\nx + y + z = 1 &#8212; eq.1<br \/>\nx &#8211; y &#8211; z = 3 &#8212; eq. 2<br \/>\n-x &#8211; y &#8211; z = -1 &#8212;- eq. 3<br \/>\nSolving 1 &amp; 2<br \/>\nx + y + z = 1<br \/>\n<span style=\"text-decoration: underline;\">x &#8211; y &#8211; z = 3<\/span><br \/>\n2x = 4<br \/>\nx = 4\/2<br \/>\nx = 2<br \/>\nSolving 1 &amp; 3<br \/>\nx &#8211; y &#8211; z = 1<br \/>\n<span style=\"text-decoration: underline;\">-x &#8211; y &#8211; z = -1<\/span><br \/>\n-2y -2z = 0<br \/>\ny + z = 0<br \/>\ny = -z<\/p>\n<p><b>1.4 Lesson<\/b><\/p>\n<p><b>Monitoring Progress<\/b><\/p>\n<p>Question 1.<br \/>\nx &#8211; 2y + z = -11<br \/>\n3x + 2y &#8211; z = 7<br \/>\n-x + 2y + 4z = -9<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116095\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-1.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-ideas-math-Algebra-2-chapter-10-probability-exercise-10.2-Answer-no-8.jpghttps:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-1.jpg\" width=\"541\" height=\"887\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-1.jpg 541w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-1-183x300.jpg 183w\" sizes=\"(max-width: 541px) 100vw, 541px\" \/><\/p>\n<p>Question 2.<br \/>\nx + y &#8211; z = -1<br \/>\n4x + 4y &#8211; 4z = -2<br \/>\n3x + 2y + z = 0<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116096\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-2.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-2.jpg\" width=\"500\" height=\"550\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-2.jpg 500w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-2-273x300.jpg 273w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<p>Question 3.<br \/>\nx + y + z = 8<br \/>\nx &#8211; y + z = 8<br \/>\n2x + y + 2z = 16<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116097\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-3.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-3.jpg\" width=\"538\" height=\"871\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-3.jpg 538w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-3-185x300.jpg 185w\" sizes=\"(max-width: 538px) 100vw, 538px\" \/><\/p>\n<p>Question 4.<br \/>\nIn Example 3, describe the solutions of the system using an ordered triple in terms of y.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116098\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-4.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-4.jpg\" width=\"502\" height=\"905\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-4.jpg 502w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-4-166x300.jpg 166w\" sizes=\"(max-width: 502px) 100vw, 502px\" \/><\/p>\n<p>Question 5.<br \/>\n<b>WHAT IF?<\/b> On the first day, 10,000 tickets sold, generating $356,000 in revenue. The number of seats sold in Sections A and B are the same. How many lawn seats are still available?<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116099\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-5.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-5.jpg\" width=\"527\" height=\"838\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-5.jpg 527w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Monitoring-progress-Exercise-1.4-5-189x300.jpg 189w\" sizes=\"(max-width: 527px) 100vw, 527px\" \/><\/p>\n<h3><a id=\"Solving_Linear_Systems_1.4_Exercises\"><\/a>Solving Linear Systems 1.4 Exercises<\/h3>\n<p><b>Vocabulary and Core Concept Check<\/b><\/p>\n<p>Question 1.<br \/>\n<b>VOCABULARY <\/b>The solution of a system of three linear equations is expressed as a(n)__________.<br \/>\nAnswer:<br \/>\nThe solution of a system of three linear equations is expressed as an ordered triple.<\/p>\n<p>Question 2.<br \/>\n<b>WRITING<\/b> Explain how you know when a linear system in three variables has infinitely many solutions.<br \/>\nAnswer:<br \/>\nThe system has infinitely many solutions when you have an identity such as 0 = 0.<\/p>\n<p><b>Monitoring Progress and Modeling with Mathematics<\/b><\/p>\n<p><b>In Exercises 3\u20138, solve the system using the elimination method.<\/b><\/p>\n<p>Question 3.<br \/>\nx + y &#8211; 2z = 5<br \/>\n-x + 2y + z = 2<br \/>\n2x + 3y &#8211; z = 9<br \/>\nAnswer:<br \/>\nGiven equations are<br \/>\nx + y &#8211; 2z = 5 &#8212; eq. 1<br \/>\n-x + 2y + z = 2 &#8212; eq. 2<br \/>\n2x + 3y &#8211; z = 9 &#8212; eq. 3<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45343\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-3.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 3.1\" width=\"589\" height=\"530\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-3.1.png 589w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-3.1-300x270.png 300w\" sizes=\"(max-width: 589px) 100vw, 589px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45345\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-3.2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 3.2\" width=\"580\" height=\"203\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-3.2.png 580w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-3.2-300x105.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/><\/p>\n<p>Question 4.<br \/>\nx + 4y &#8211; 6z = -1<br \/>\n2x &#8211; y + 2z = -7<br \/>\n-x + 2y &#8211; 4z = 5<br \/>\nAnswer:<br \/>\nGiven equations are<br \/>\nx + 4y &#8211; 6z = -1&#8212; (eq.1)<br \/>\n2x &#8211; y + 2z = -7 &#8212;- (eq. 2)<br \/>\n-x + 2y &#8211; 4z = 5 &#8212;-(eq. 3)<br \/>\nSolving eq.1 &amp; eq.3<br \/>\nx + 4y &#8211; 6z = -1<br \/>\n-x + 2y &#8211; 4z = 5<br \/>\n6y &#8211; 10z = 4<br \/>\n3y &#8211; 5z = 2 &#8212; (eq. 4)<br \/>\nSolving (1) &amp; (2)<br \/>\nx + 4y &#8211; 6z = -1 &#8212; \u00d7 2 \u21d2 2x + 6y &#8211; 12z = -2<br \/>\n2x &#8211; y + 2z = -7<\/p>\n<p>2x + 6y &#8211; 12z = -2<br \/>\n2x &#8211; y + 2z = -7<br \/>\n&#8211;\u00a0 \u00a0 +\u00a0 \u00a0 &#8211;\u00a0 \u00a0 \u00a0 \u00a0 +<br \/>\n7y &#8211; 14z = 5 &#8212;- (eq. 5)<br \/>\nSolving (2) &amp; (3)<br \/>\n2x &#8211; y + 2z = -7 &#8212;- (2)<br \/>\n-x + 2y &#8211; 4z = 5 &#8212;-(3)&#8212;&#8211;\u00d72 \u21d2 -2x + 4y &#8211; 8z = 10<\/p>\n<p>2x &#8211; y + 2z = -7<br \/>\n-2x + 4y &#8211; 8z = 10<br \/>\n3y &#8211; 5z = 3 &#8212; (eq. 6)<br \/>\nSolving 5 &amp; 6<br \/>\n7y &#8211; 14z = 5 &#8212; \u00d7 3 \u21d2 21y &#8211; 42z = 15 &#8212; (eq. 7)<br \/>\n3y &#8211; 5z = 3 &#8212; \u00d7 7 \u21d2 21y &#8211; 35z = 21 &#8212; (eq. 8)<\/p>\n<p>21y &#8211; 42z = 15<br \/>\n21y &#8211; 35z = 21<br \/>\n-7z = -6<br \/>\nz = 6\/7 or 0.85<\/p>\n<p>7y &#8211; 14z = 5<br \/>\n7y &#8211; 14(6\/7) = 5<br \/>\n7y &#8211; 14(6) = 5<br \/>\n7y &#8211; 84 = 5<br \/>\n7y = 5 + 84<br \/>\n7y = 89<br \/>\ny = 89\/7<br \/>\ny = 12.7<\/p>\n<p>-x + 2y &#8211; 4z = 5<br \/>\n-x + 2(12.7) &#8211; 4(0.85) = 5<br \/>\n-x + 25.4 &#8211; 3.4 = 5<br \/>\n-x + 22 = 5<br \/>\n-x = 5 &#8211; 22<br \/>\n-x = -17<br \/>\nx = 17<br \/>\nThe solution is x = 17, y = 12.7 and z = 0.85<\/p>\n<p>Question 5.<br \/>\n2x + y &#8211; z = 9<br \/>\n-x + 6y + 2z = -17<br \/>\n5x + 7y + z = 4<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45347\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-5.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 5.1\" width=\"569\" height=\"509\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-5.1.png 569w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-5.1-300x268.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45348\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-5.2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 5.2\" width=\"579\" height=\"241\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-5.2.png 579w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-5.2-300x125.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><\/p>\n<p>Question 6.<br \/>\n3x + 2y &#8211; z = 8<br \/>\n-3x + 4y + 5z = -14<br \/>\nx &#8211; 3y + 4z = -14<\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-116102\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-6.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-6.jpg\" width=\"592\" height=\"1019\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-6.jpg 514w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-6-174x300.jpg 174w\" sizes=\"(max-width: 592px) 100vw, 592px\" \/><\/p>\n<p>Question 7.<br \/>\n2x + 2y + 5z = -1<br \/>\n2x &#8211; y + z = 2<br \/>\n2x + 4y &#8211; 3z = 14<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45349\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-7.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 7.1\" width=\"567\" height=\"513\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-7.1.png 567w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-7.1-300x271.png 300w\" sizes=\"(max-width: 567px) 100vw, 567px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45350\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-7.2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 7.2\" width=\"586\" height=\"236\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-7.2.png 586w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-7.2-300x121.png 300w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><\/p>\n<p>Question 8.<br \/>\n3x + 2y &#8211; 3z = -2<br \/>\n7x &#8211; 2y + 5z = -14<br \/>\n2x + 4y + z = 6<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116103\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-8-1.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-8-1.jpg\" width=\"707\" height=\"482\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-8-1.jpg 707w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.3-8-1-300x205.jpg 300w\" sizes=\"(max-width: 707px) 100vw, 707px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116104\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-8a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-8a.jpg\" width=\"633\" height=\"629\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-8a.jpg 633w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-8a-300x298.jpg 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-8a-150x150.jpg 150w\" sizes=\"(max-width: 633px) 100vw, 633px\" \/><\/p>\n<p><b>ERROR ANALYSIS In Exercises 9 and 10, describe and correct the error in the first step of solving the system of linear equations.<\/b><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38968\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-90.1.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 90.1\" width=\"159\" height=\"93\" \/><\/p>\n<p>Question 9.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38970\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-91.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 91\" width=\"305\" height=\"100\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-91.png 305w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-91-300x98.png 300w\" sizes=\"(max-width: 305px) 100vw, 305px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45351\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-9.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 9\" width=\"574\" height=\"166\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-9.png 574w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-9-300x87.png 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><\/p>\n<p>Question 10.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38971\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-92.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 92\" width=\"296\" height=\"102\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/05\/01\/cff9c4a03dba1981003af53252f203dd\/0b174de86d7e31b1b56377e11a453265\/lateximg.png?tcb=1623208249\" \/><\/p>\n<p><b>In Exercises 11\u201316, solve the system using the elimination method.<\/b><\/p>\n<p>Question 11.<br \/>\n3x &#8211; y + 2z = 4<br \/>\n6x &#8211; 2y + 4z = -8<br \/>\n2x &#8211; y + 3z = 10<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45352\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-11.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 11\" width=\"586\" height=\"201\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-11.png 586w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-11-300x103.png 300w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><\/p>\n<p>Question 12.<br \/>\n5x + y &#8211; z = 6<br \/>\nx + y + z = 2<br \/>\n12x + 4y = 10<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116105\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-12.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-12.jpg\" width=\"525\" height=\"641\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-12.jpg 525w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-12-246x300.jpg 246w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/p>\n<p>Question 13.<br \/>\nx + 3y &#8211; z = 2<br \/>\nx + y &#8211; z = 0<br \/>\n3x + 2y &#8211; 3z = -1<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45357\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-13.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 13.1\" width=\"597\" height=\"612\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-13.1.png 597w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-13.1-293x300.png 293w\" sizes=\"(max-width: 597px) 100vw, 597px\" \/><\/p>\n<p>Question 14.<br \/>\nx + 2y &#8211; z = 3<br \/>\n-2x &#8211; y + z = -1<br \/>\n6x &#8211; 3y &#8211; z = -7<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116106\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-14.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-14.jpg\" width=\"706\" height=\"797\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-14.jpg 706w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-14-266x300.jpg 266w\" sizes=\"(max-width: 706px) 100vw, 706px\" \/><\/p>\n<p>Question 15.<br \/>\nx + 2y + 3z = 4<br \/>\n-3x + 2y &#8211; z = 12<br \/>\n-2x &#8211; 2y &#8211; 4z = -14<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45369\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-15.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 15.1\" width=\"562\" height=\"539\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-15.1.png 562w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-15.1-300x288.png 300w\" sizes=\"(max-width: 562px) 100vw, 562px\" \/><\/p>\n<p>Question 16.<br \/>\n-2x &#8211; 3y + z = -6<br \/>\nx + y &#8211; z = 5<br \/>\n7x + 8y &#8211; 6z = 31<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116107\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-16.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-16.jpg\" width=\"441\" height=\"923\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-16.jpg 441w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-16-143x300.jpg 143w\" sizes=\"(max-width: 441px) 100vw, 441px\" \/><\/p>\n<p>Question 17.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b> Three orders are placed at a pizza shop. Two small pizzas, a liter of soda, and a salad cost $14; one small pizza, a liter of soda, and three salads cost $15; and three small pizzas, a liter of soda, and two salads cost $22. How much does each item cost?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38972\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-93.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 93\" width=\"283\" height=\"195\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45371\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-17.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 17.1\" width=\"492\" height=\"435\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-17.1.png 492w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-17.1-300x265.png 300w\" sizes=\"(max-width: 492px) 100vw, 492px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45373\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-17.2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 17.2\" width=\"592\" height=\"494\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-17.2.png 592w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-17.2-300x250.png 300w\" sizes=\"(max-width: 592px) 100vw, 592px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45374\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-17.3.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 17.3\" width=\"585\" height=\"226\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-17.3.png 585w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-17.3-300x116.png 300w\" sizes=\"(max-width: 585px) 100vw, 585px\" \/><\/p>\n<p>Question 18.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b> Sam\u2019s Furniture Store places the following advertisement in the local newspaper. Write a system of equations for the three combinations of furniture. What is the price of each piece of furniture? Explain.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38973\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-94.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 94\" width=\"314\" height=\"178\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-94.png 314w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-94-300x170.png 300w\" sizes=\"(max-width: 314px) 100vw, 314px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116108\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-18.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-18.jpg\" width=\"508\" height=\"917\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-18.jpg 508w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-18-166x300.jpg 166w\" sizes=\"(max-width: 508px) 100vw, 508px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116109\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-18a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-18a.jpg\" width=\"362\" height=\"498\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-18a.jpg 362w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-18a-218x300.jpg 218w\" sizes=\"(max-width: 362px) 100vw, 362px\" \/><\/p>\n<p><b>In Exercises 19\u201328, solve the system of linear equations using the substitution method.<\/b><\/p>\n<p>Question 19.<br \/>\n-2x + y + 6z = 1<br \/>\n3x + 2y + 5z = 16<br \/>\n7x + 3y &#8211; 4z = 11<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45376\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-19.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 19.1\" width=\"572\" height=\"450\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-19.1.png 572w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-19.1-300x236.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45377\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-19.2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 19.2\" width=\"591\" height=\"318\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-19.2.png 591w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-19.2-300x161.png 300w\" sizes=\"(max-width: 591px) 100vw, 591px\" \/><\/p>\n<p>Question 20.<br \/>\nx &#8211; 6y &#8211; 2z = -8<br \/>\n-x + 5y + 3z = 2<br \/>\n3x &#8211; 2y &#8211; 4z = 18<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/21\/03\/10\/8b1e1d14383e6700e1230a7c053503b8\/e76ed9532a5ad4d1ab85c51b36673f30\/lateximg.png?tcb=1623209355\" \/><\/p>\n<p>Question 21.<br \/>\nx + y + z = 4<br \/>\n5x + 5y + 5z = 12<br \/>\nx &#8211; 4y + z = 9<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45378\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-21.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 21.1\" width=\"574\" height=\"334\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-21.1.png 574w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-21.1-300x175.png 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><\/p>\n<p>Question 22.<br \/>\nx + 2y = -1<br \/>\n-x + 3y + 2z = -4<br \/>\n-x + y &#8211; 4z = 10<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116111\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-22.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-22.jpg\" width=\"479\" height=\"887\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-22.jpg 479w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-22-162x300.jpg 162w\" sizes=\"(max-width: 479px) 100vw, 479px\" \/><\/p>\n<p>Question 23.<br \/>\n2x &#8211; 3y + z = 10<br \/>\ny + 2z = 13<br \/>\nz = 5<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45379\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-23.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 23.1\" width=\"580\" height=\"477\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-23.1.png 580w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-23.1-300x247.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/><\/p>\n<p>Question 24.<br \/>\nx = 4<br \/>\nx + y = -6<br \/>\n4x &#8211; 3y + 2z = 26<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/07\/11\/0a17ccb8539c6e828e66ef50d859382b\/30d793df0a1b3d82be2c35f79a7c6a8f\/lateximg.png?tcb=1623257135\" \/><\/p>\n<p>Question 25.<br \/>\nx + y &#8211; z = 4<br \/>\n3x + 2y + 4z = 17<br \/>\n-x + 5y + z = 8<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45380\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-25.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 25.1\" width=\"579\" height=\"461\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-25.1.png 579w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-25.1-300x239.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45381\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-25.2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 25.2\" width=\"576\" height=\"290\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-25.2.png 576w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-25.2-300x151.png 300w\" sizes=\"(max-width: 576px) 100vw, 576px\" \/><\/p>\n<p>Question 26.<br \/>\n2x &#8211; y &#8211; z = 15<br \/>\n4x + 5y + 2z = 10<br \/>\n-x &#8211; 4y + 3z = -20<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/07\/11\/ec5e2fca99437a6f59dc02f8947642ea\/9d7d7a2cc54415f51df7019bb6f06c9a\/lateximg.png?tcb=1623257165\" \/><\/p>\n<p>Question 27.<br \/>\n4x + y + 5z = 5<br \/>\n8x + 2y + 10z = 10<br \/>\nx &#8211; y &#8211; 2z = -2<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45384\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-27.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 27.1\" width=\"572\" height=\"516\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-27.1.png 572w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-27.1-300x271.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45400\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-27.2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 27.2\" width=\"552\" height=\"123\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-27.2.png 552w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-27.2-300x67.png 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><\/p>\n<p>Question 28.<br \/>\nx + 2y &#8211; z = 3<br \/>\n2x + 4y &#8211; 2z = 6<br \/>\n-x &#8211; 2y + z = -6<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116240\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-28.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-28.jpg\" width=\"490\" height=\"185\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-28.jpg 490w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-28-300x113.jpg 300w\" sizes=\"(max-width: 490px) 100vw, 490px\" \/><\/p>\n<p>Question 29.<br \/>\n<b>PROBLEM SOLVING<\/b> The number of left-handed people in the world is one-tenth the number of right-handed people. The percent of right-handed people is nine times the percent of left-handed people and ambidextrous people combined. What percent of people are ambidextrous?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38974\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-95.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 95\" width=\"360\" height=\"150\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-95.png 360w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-95-300x125.png 300w\" sizes=\"(max-width: 360px) 100vw, 360px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45403\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-29.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 29.1\" width=\"572\" height=\"354\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-29.1.png 572w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-29.1-300x186.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45405\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-29.2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 29.2\" width=\"610\" height=\"484\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-29.2.png 610w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-29.2-300x238.png 300w\" sizes=\"(max-width: 610px) 100vw, 610px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45406\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-29.3.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 29.3\" width=\"592\" height=\"377\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-29.3.png 592w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-29.3-300x191.png 300w\" sizes=\"(max-width: 592px) 100vw, 592px\" \/><\/p>\n<p>Question 30.<br \/>\n<b>MODELING WITH MATHEMATICS<\/b> Use a system of linear equations to model the data in the following newspaper article. Solve the system to find how many athletes finished in each place.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38975\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-96.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 96\" width=\"352\" height=\"227\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-96.png 352w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-96-300x193.png 300w\" sizes=\"(max-width: 352px) 100vw, 352px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116242\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-30.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-30.jpg\" width=\"513\" height=\"852\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-30.jpg 513w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-30-181x300.jpg 181w\" sizes=\"(max-width: 513px) 100vw, 513px\" \/><\/p>\n<p>Question 31.<br \/>\n<b>WRITING <\/b>Explain when it might be more convenient to use the elimination method than the substitution method to solve a linear system. Give an example to support your claim.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45407\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-31.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 31\" width=\"574\" height=\"247\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-31.png 574w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-31-300x129.png 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><\/p>\n<p>Question 32.<br \/>\n<b>REPEATED REASONING<\/b> Using what you know about solving linear systems in two and three variables, plan a strategy for how you would solve a system that has four linear equations in four variables.<br \/>\nAnswer:<br \/>\nFirst, you have to eliminate one variable by using the substitution method. Then it becomes three linear equations in three variables, then you will know how to solve it.<\/p>\n<p><b>MATHEMATICAL CONNECTIONS In Exercises 33 and 34, write and use a linear system to answer the question.<\/b><\/p>\n<p>Question 33.<br \/>\nThe triangle has a perimeter of 65 feet. What are the lengths of sides \u2113, m, and n?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38977\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-97.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 97\" width=\"339\" height=\"114\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-97.png 339w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-97-300x101.png 300w\" sizes=\"(max-width: 339px) 100vw, 339px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45408\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-33.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 33.1\" width=\"595\" height=\"535\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-33.1.png 595w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-33.1-300x270.png 300w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45409\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-33.2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 33.2\" width=\"562\" height=\"327\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-33.2.png 562w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-33.2-300x175.png 300w\" sizes=\"(max-width: 562px) 100vw, 562px\" \/><\/p>\n<p>Question 34.<br \/>\nWhat are the measures of angles A, B, and C?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38976\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-97.1.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 97.1\" width=\"171\" height=\"236\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116243\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-34.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-34.jpg\" width=\"479\" height=\"840\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-34.jpg 479w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-34-171x300.jpg 171w\" sizes=\"(max-width: 479px) 100vw, 479px\" \/><\/p>\n<p>Question 35.<br \/>\n<b>OPEN-ENDED <\/b>Consider the system of linear equations below. Choose nonzero values for a, b, and c so the system satisfies the given condition. Explain your reasoning.<br \/>\nx + y + z = 2<br \/>\nax + by + cz = 10<br \/>\nx &#8211; 2y + z = 4<br \/>\na. The system has no solution.<br \/>\nb. The system has exactly one solution.<br \/>\nc. The system has infinitely many solutions.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45410\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-35.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 35\" width=\"602\" height=\"292\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-35.png 602w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-35-300x146.png 300w\" sizes=\"(max-width: 602px) 100vw, 602px\" \/><\/p>\n<p>Question 36.<br \/>\n<b>MAKING AN ARGUMENT<\/b> A linear system in three variables has no solution. Your friend concludes that it is not possible for two of the three equations to have any points in common. Is your friend correct? Explain your reasoning.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/07\/11\/79c3da8f1f6d1ffe53df0292c0891e0f\/6dee25d0693751d376e1264d42482826\/lateximg.png?tcb=1623258057\" \/><\/p>\n<p>Question 37.<br \/>\n<b>PROBLEM SOLVING<\/b> A contractor is hired to build an apartment complex. Each 840-square-foot unit has a bedroom, kitchen, and bathroom. The bedroom will be the same size as the kitchen. The owner orders 980 square feet of tile to completely cover the floors of two kitchens and two bathrooms. Determine how many square feet of carpet is needed for each bedroom.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38978\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-98.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 98\" width=\"265\" height=\"201\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45411\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-37.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 37.1\" width=\"627\" height=\"452\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-37.1.png 627w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-37.1-300x216.png 300w\" sizes=\"(max-width: 627px) 100vw, 627px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45412\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-37.2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 37.2\" width=\"591\" height=\"500\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-37.2.png 591w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-37.2-300x254.png 300w\" sizes=\"(max-width: 591px) 100vw, 591px\" \/><\/p>\n<p>Question 38.<br \/>\n<b>THOUGHT PROVOKING <\/b>Does the system of linear equations have more than one solution? Justify your answer.<br \/>\n4x + y + z = 0<br \/>\n2x + \\(\\frac{1}{2}\\)y &#8211; 3z = 0<br \/>\n-x &#8211; \\(\\frac{1}{4}\\)y &#8211; z = 0<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116247\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-38.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-38.jpg\" width=\"508\" height=\"844\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-38.jpg 508w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-Exercise-1.4-38-181x300.jpg 181w\" sizes=\"(max-width: 508px) 100vw, 508px\" \/><\/p>\n<p>Question 39.<br \/>\n<b>PROBLEM SOLVING<\/b> A florist must make 5 identical bridesmaid bouquets for a wedding. The budget is $160, and each bouquet must have 12 flowers. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. The florist wants twice as many roses as the other two types of flowers combined.<br \/>\na. Write a system of equations to represent this situation, assuming the florist plans to use the maximum budget.<br \/>\nb. Solve the system to find how many of each type of flower should be in each bouquet.<br \/>\nc. Suppose there is no limitation on the total cost of the bouquets. Does the problem still have exactly one solution? If so, find the solution. If not, give three possible solutions.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45414\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-39.1.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 39.1\" width=\"651\" height=\"528\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-39.1.png 651w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-39.1-300x243.png 300w\" sizes=\"(max-width: 651px) 100vw, 651px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45417\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-39.2.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 39.2\" width=\"676\" height=\"616\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-39.2.png 676w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-39.2-300x273.png 300w\" sizes=\"(max-width: 676px) 100vw, 676px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45418\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-39.3.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 39.3\" width=\"422\" height=\"69\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-39.3.png 422w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-39.3-300x49.png 300w\" sizes=\"(max-width: 422px) 100vw, 422px\" \/><\/p>\n<p>Question 40.<br \/>\n<b>HOW DO YOU SEE IT? <\/b>Determine whether the system of equations that represents the circles has no solution, one solution, or infinitely many solutions. Explain your reasoning.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38979\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-99.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 99\" width=\"351\" height=\"142\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-99.png 351w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-99-300x121.png 300w\" sizes=\"(max-width: 351px) 100vw, 351px\" \/><br \/>\nAnswer:<br \/>\na. The given three circles in the graph has one common point. So, the system of equations has one solution.<br \/>\nb. Inside the small circle all the points are common. So, it has an infinite number of solutions.<\/p>\n<p>Question 41.<br \/>\n<b>CRITICAL THINKING<\/b> Find the values of a, b, and c so that the linear system shown has (-1, 2, -3) as its only solution. Explain your reasoning.<br \/>\nx + 2y &#8211; 3z = a<br \/>\n&#8211; x &#8211; y + z = b<br \/>\n2x + 3y &#8211; 2z = c<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45419\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-41.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 41\" width=\"589\" height=\"485\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-41.png 589w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-41-300x247.png 300w\" sizes=\"(max-width: 589px) 100vw, 589px\" \/><\/p>\n<p>Question 42.<br \/>\n<b>ANALYZING RELATIONSHIPS<\/b> Determine which arrangement(s) of the integers -5, 2, and 3 produce a solution of the linear system that consist of only integers. Justify your answer.<br \/>\nx &#8211; 3y + 6z = 21<br \/>\n_x + _y + _z = -30<br \/>\n2x &#8211; 5y + 2z = -6<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/07\/11\/25e43c4d28ab801ed345b198e7ee6a9c\/cfb4fe91370abac80ff0bd73e9f28d37\/lateximg.png?tcb=1623258384\" \/><\/p>\n<p>Question 43.<br \/>\n<b>ABSTRACT REASONING<\/b> Write a linear system to represent the first three pictures below. Use the system to determine how many tangerines are required to balance the apple in the fourth picture. Note:The first picture shows that one tangerine and one apple balance one grapefruit.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38980\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-100.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 100\" width=\"299\" height=\"159\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45420\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-43.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 43\" width=\"544\" height=\"521\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-43.png 544w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-43-300x287.png 300w\" sizes=\"(max-width: 544px) 100vw, 544px\" \/><\/p>\n<p><b>Maintaining Mathematical Proficiency<\/b><\/p>\n<p><b>Simplify. <\/b>(Skills Review Handbook)<\/p>\n<p>Question 44.<br \/>\n(x &#8211; 2)<sup>2<\/sup><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/18\/09\/01\/999f0d3573a24839283f0d8905a79696\/ab8450568ce9c922cd6cf7d9e7e0bfbd\/lateximg.png?tcb=1623258416\" \/><\/p>\n<p>Question 45.<br \/>\n(3m + 1)<sup>2<br \/>\n<\/sup><br \/>\nAnswer:<br \/>\n(3m + 1)<sup>2<\/sup><br \/>\nIt is in the form of (a + b)\u00b2 = a\u00b2 + b\u00b2 + 2ab<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45421\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-45.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 45\" width=\"350\" height=\"96\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-45.png 350w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-45-300x82.png 300w\" sizes=\"(max-width: 350px) 100vw, 350px\" \/><\/p>\n<p>Question 46.<br \/>\n(2z &#8211; 5)<sup>2<\/sup><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/18\/09\/01\/401bcfc2ba41b4c297857f2bf73507d5\/29a38225b7a051d5da1d58fd7fdf3598\/lateximg.png?tcb=1623258462\" \/><\/p>\n<p>Question 47.<br \/>\n(4 &#8211; y)<sup>2<\/sup><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/18\/09\/01\/d8fcbf242b0862de61696a77c4b35471\/e5f4a7f673dc56f54215284e73865a39\/lateximg.png?tcb=1623258489\" \/><\/p>\n<p><b>Write a function g described by the given transformation of f(x) =\u2223x\u2223\u2212 5<\/b>.(Section 1.2)<\/p>\n<p>Question 48.<br \/>\ntranslation 2 units to the left<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/18\/09\/01\/8842eef30da11f21cf59d029a42082cd\/9002b13733cf114023faeb9cab26b460\/lateximg.png?tcb=1623258513\" \/><\/p>\n<p>Question 49.<br \/>\nreflection in the x-axis<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45423\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-49.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 49\" width=\"534\" height=\"200\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-49.png 534w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-49-300x112.png 300w\" sizes=\"(max-width: 534px) 100vw, 534px\" \/><\/p>\n<p>Question 50.<br \/>\ntranslation 4 units up<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/18\/09\/01\/25570eb245049550915b1f3b32fa956d\/18b64898e36282c4d37bb1b076b442d8\/lateximg.png?tcb=1623258539\" \/><\/p>\n<p>Question 51.<br \/>\nvertical stretch by a factor of 3<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-45425\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-51.png\" alt=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions 1.4 Question 51\" width=\"569\" height=\"199\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-51.png 569w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions-1.4-Question-51-300x105.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><\/p>\n<h3><a id=\"Linear_Functions_Performance_Task:_Secret_of_the_Hanging_Baskets\"><\/a>Linear Functions Performance Task: Secret of the Hanging Baskets<\/h3>\n<p><b>1.3\u20131.4 What Did You Learn?<\/b><\/p>\n<p><b>Core Vocabulary<\/b><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-38981\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-101.png\" alt=\"Big Ideas Math Algebra 2 Answer Key Chapter 1 Linear Functions 101\" width=\"732\" height=\"109\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-101.png 732w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answer-Key-Chapter-1-Linear-Functions-101-300x45.png 300w\" sizes=\"(max-width: 732px) 100vw, 732px\" \/><\/p>\n<p><b>Core Concepts<\/b><br \/>\n<b>Section 1.3<\/b><br \/>\nWriting an Equation of a Line, p. 22<br \/>\nFinding a Line of Fit, p. 24<br \/>\n<b>Section 1.4<\/b><br \/>\nSolving a Three-Variable System, p. 31<br \/>\nSolving Real-Life Problems, p. 33<\/p>\n<p><b>Mathematical Practices<\/b><\/p>\n<p>Question 1.<br \/>\nDescribe how you can write the equation of the line in Exercise 7 on page 26 using only one of the labeled points.<\/p>\n<p>Question 2.<br \/>\nHow did you use the information in the newspaper article in Exercise 30 on page 35 to write a system of three linear equations?<\/p>\n<p>Question 3.<br \/>\nExplain the strategy you used to choose the values for a, b, and c in Exercise 35 part (a) on page 35.<\/p>\n<p><b>Performance Task<\/b><\/p>\n<p><b>Secret of the Hanging Baskets<\/b><br \/>\nA carnival game uses two baskets hanging from springs at different heights. Next to the higher basket is a pile of baseballs. Next to the lower basket is a pile of golf balls. The object of the game is to add the same number of balls to each basket so that the baskets have the same height. But there is a catch\u2014you only get one chance. What is the secret to winning the game?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39037\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Linear-Functions-102.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 1 Linear Functions 102\" width=\"368\" height=\"428\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Linear-Functions-102.png 368w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Linear-Functions-102-258x300.png 258w\" sizes=\"(max-width: 368px) 100vw, 368px\" \/><br \/>\nTo explore the answers to this question and more, go to BigIdeasMath.com.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39039\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Linear-Functions-103.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 1 Linear Functions 103\" width=\"85\" height=\"87\" \/><\/p>\n<h3><a id=\"Linear_Functions_Chapter_Review\"><\/a>Linear Functions Chapter Review<\/h3>\n<p><b>Graph the function and its parent function. Then describe the transformation.<\/b><\/p>\n<p>Question 1.<br \/>\nf(x) = x + 3<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116250\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-1.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-1.jpg\" width=\"662\" height=\"421\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-1.jpg 662w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-1-300x191.jpg 300w\" sizes=\"(max-width: 662px) 100vw, 662px\" \/><\/p>\n<p>Question 2.<br \/>\ng(x) = | x | &#8211; 1<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116251\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-2.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-2.jpg\" width=\"668\" height=\"393\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-2.jpg 668w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-2-300x176.jpg 300w\" sizes=\"(max-width: 668px) 100vw, 668px\" \/><\/p>\n<p>Question 3.<br \/>\nh(x) = \\(\\frac{1}{2}\\)x<sup>2<\/sup><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116252\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-3.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-3.jpg\" width=\"697\" height=\"436\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-3.jpg 697w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-3-300x188.jpg 300w\" sizes=\"(max-width: 697px) 100vw, 697px\" \/><\/p>\n<p>Question 4.<br \/>\nh(x) = 4<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116253\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-4.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-4.jpg\" width=\"649\" height=\"334\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-4.jpg 649w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-4-300x154.jpg 300w\" sizes=\"(max-width: 649px) 100vw, 649px\" \/><\/p>\n<p>Question 5.<br \/>\nf(x) = -| x | &#8211; 3<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116254\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-5.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-5.jpg\" width=\"657\" height=\"464\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-5.jpg 657w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-5-300x212.jpg 300w\" sizes=\"(max-width: 657px) 100vw, 657px\" \/><\/p>\n<p>Question 6.<br \/>\ng(x) = -3(x + 3)<sup>2<\/sup><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116255\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-6.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-6.jpg\" width=\"726\" height=\"488\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-6.jpg 726w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-6-300x202.jpg 300w\" sizes=\"(max-width: 726px) 100vw, 726px\" \/><\/p>\n<p><b>Write a function g whose graph represents the indicated transformations of the graph of f. Use a graphing calculator to check your answer.<\/b><\/p>\n<p>Question 7.<br \/>\nf(x) = | x |; reflection in the x-axis followed by a translation 4 units to the left<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116256\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-7.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-7.jpg\" width=\"509\" height=\"484\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-7.jpg 509w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-7-300x285.jpg 300w\" sizes=\"(max-width: 509px) 100vw, 509px\" \/><\/p>\n<p>Question 8.<br \/>\nf(x) = | x | ; vertical shrink by a factor of \\(\\frac{1}{2}\\) followed by a translation 2 units up<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116257\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-8.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-8.jpg\" width=\"460\" height=\"529\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-8.jpg 460w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-8-261x300.jpg 261w\" sizes=\"(max-width: 460px) 100vw, 460px\" \/><\/p>\n<p>Question 9.<br \/>\nf(x) = x; translation 3 units down followed by a reflection in the y-axis<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116258\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-9.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-9.jpg\" width=\"458\" height=\"478\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-9.jpg 458w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-9-287x300.jpg 287w\" sizes=\"(max-width: 458px) 100vw, 458px\" \/><\/p>\n<p>Question 10.<br \/>\nThe table shows the total number y (in billions) of U.S. movie admissions each year for x years. Use a graphing calculator to find an equation of the line of best fit for the data.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39038\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Linear-Functions-103.1.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 1 Linear Functions 103.1\" width=\"406\" height=\"76\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Linear-Functions-103.1.png 406w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Linear-Functions-103.1-300x56.png 300w\" sizes=\"(max-width: 406px) 100vw, 406px\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116259\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-10.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-10.jpg\" width=\"692\" height=\"740\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-10.jpg 692w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-10-281x300.jpg 281w\" sizes=\"(max-width: 692px) 100vw, 692px\" \/><\/p>\n<p>Question 11.<br \/>\nYou ride your bike and measure how far you travel. After 10 minutes, you travel 3.5 miles. After 30 minutes, you travel 10.5 miles. Write an equation to model your distance. How far can you ride your bike in 45 minutes?<br \/>\nAnswer:<br \/>\nGiven,<br \/>\n(x1, y1) = (10, 3.5)<br \/>\n(x2, y2) = (30, 10.5)<br \/>\nm = (10.5 &#8211; 3.5)\/30 &#8211; 10<br \/>\nm = 7\/20<br \/>\ny &#8211; 3.5 = 7\/20(x &#8211; 10)<br \/>\ny &#8211; 3.5 = 7\/20 x &#8211; 3.5<br \/>\ny = 7\/20x<br \/>\nx = 45<br \/>\ny = 7\/20 (45)<br \/>\ny = 15.75 miles<br \/>\nTherefore you can 15.75 miles in 45 minutes.<\/p>\n<p>Question 12.<br \/>\nx + y + z = 3<br \/>\n-x + 3y + 2z = -8<br \/>\nx = 4z<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116260\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-12.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-12.jpg\" width=\"523\" height=\"868\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-12.jpg 523w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-12-181x300.jpg 181w\" sizes=\"(max-width: 523px) 100vw, 523px\" \/><\/p>\n<p>Question 13.<br \/>\n2x &#8211; 5y &#8211; z = 17<br \/>\nx + y + 3z = 19<br \/>\n-4x + 6y + z = -20<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116262\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-13.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-13.jpg\" width=\"549\" height=\"702\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-13.jpg 549w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-13-235x300.jpg 235w\" sizes=\"(max-width: 549px) 100vw, 549px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116263\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-13a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-13a.jpg\" width=\"533\" height=\"885\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-13a.jpg 533w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-13a-181x300.jpg 181w\" sizes=\"(max-width: 533px) 100vw, 533px\" \/><\/p>\n<p>Question 14.<br \/>\nx + y + z = 2<br \/>\n2x &#8211; 3y + z = 11<br \/>\n-3x + 2y &#8211; 2z = -13<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116264\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-14.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-14.jpg\" width=\"549\" height=\"791\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-14.jpg 549w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-14-208x300.jpg 208w\" sizes=\"(max-width: 549px) 100vw, 549px\" \/><\/p>\n<p>Question 15.<br \/>\nx + 4y &#8211; 2z = 3<br \/>\nx + 3y + 7z = 1<br \/>\n2x + 9y &#8211; 13z = 2<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/07\/12\/3da8726484510d3cc00626f10ec5731a\/9707909ec2d2e7760975a78de675e017\/lateximg.png?tcb=1623260820\" \/><\/p>\n<p>Question 16.<br \/>\nx &#8211; y + 3z = 6<br \/>\nx &#8211; 2y = 5<br \/>\n2x &#8211; 2y + 5z = 9<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116265\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-16.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-16.jpg\" width=\"449\" height=\"896\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-16.jpg 449w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-16-150x300.jpg 150w\" sizes=\"(max-width: 449px) 100vw, 449px\" \/><\/p>\n<p>Question 17.<br \/>\nx + 2y = 4<br \/>\nx + y + z = 6<br \/>\n3x + 3y + 4z = 28<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116267\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-17.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-17.jpg\" width=\"728\" height=\"794\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-17.jpg 728w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-17-275x300.jpg 275w\" sizes=\"(max-width: 728px) 100vw, 728px\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116268\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-17a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-17.jpg\" width=\"691\" height=\"460\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-17a.jpg 691w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-17a-300x200.jpg 300w\" sizes=\"(max-width: 691px) 100vw, 691px\" \/><\/p>\n<p>Question 18.<br \/>\nA school band performs a spring concert for a crowd of 600 people. The revenue for the concert is $3150. There are 150 more adults at the concert than students. How many of each type of ticket are sold?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39040\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Linear-Functions-104.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 1 Linear Functions 104\" width=\"194\" height=\"128\" \/><br \/>\nAnswer:<\/p>\n<h3><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116269\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-18.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-18.jpg\" width=\"590\" height=\"878\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-18.jpg 590w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-review-18-202x300.jpg 202w\" sizes=\"(max-width: 590px) 100vw, 590px\" \/><\/h3>\n<h3><a id=\"Linear_Functions_Chapter_Test\"><\/a>Linear Functions Chapter Test<\/h3>\n<p><b>Write an equation of the line and interpret the slope and y-intercept.<\/b><\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39041\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Linear-Functions-105.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 1 Linear Functions 105\" width=\"183\" height=\"257\" \/><br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116271\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-1.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-1.jpg\" width=\"521\" height=\"416\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-1.jpg 521w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-1-300x240.jpg 300w\" sizes=\"(max-width: 521px) 100vw, 521px\" \/><\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39042\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Linear-Functions-106.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 1 Linear Functions 106\" width=\"258\" height=\"281\" \/><br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/18\/09\/01\/91c8db6cbc97891254c94731179c75d8\/d2660d8e447b84288e67b9c951c1902a\/lateximg.png?tcb=1623262012\" \/><\/p>\n<p><b>Solve the system. Check your solution, if possible.<\/b><\/p>\n<p>Question 3.<br \/>\n-2x + y + 4z = 5<br \/>\nx + 3y &#8211; z = 2<br \/>\n4x + y &#8211; 6z = 11<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116272\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-3.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-3.jpg\" width=\"553\" height=\"756\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-3.jpg 553w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-3-219x300.jpg 219w\" sizes=\"(max-width: 553px) 100vw, 553px\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116273\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-3a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-3a.jpg\" width=\"440\" height=\"649\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-3a.jpg 440w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-3a-203x300.jpg 203w\" sizes=\"(max-width: 440px) 100vw, 440px\" \/><\/p>\n<p>Question 4.<br \/>\ny = \\(\\frac{1}{2}\\)z<br \/>\nx + 2y + 5z = 2<br \/>\n3x + 6y &#8211; 3z = 9<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116274\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-4.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-4.jpg\" width=\"501\" height=\"846\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-4.jpg 501w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-4-178x300.jpg 178w\" sizes=\"(max-width: 501px) 100vw, 501px\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116275\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-4a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-4a.jpg\" width=\"298\" height=\"449\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-4a.jpg 298w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-4a-199x300.jpg 199w\" sizes=\"(max-width: 298px) 100vw, 298px\" \/><br \/>\nQuestion 5.<br \/>\nx &#8211; y + 5z = 3<br \/>\n2x + 3y &#8211; z = 2<br \/>\n-4x &#8211; y &#8211; 9z = -8<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116288\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-5.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-5.jpg\" width=\"511\" height=\"896\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-5.jpg 511w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-5-171x300.jpg 171w\" sizes=\"(max-width: 511px) 100vw, 511px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116289\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-5a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-5a.jpg\" width=\"363\" height=\"439\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-5a.jpg 363w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-5a-248x300.jpg 248w\" sizes=\"(max-width: 363px) 100vw, 363px\" \/><\/p>\n<p><b>Graph the function and its parent function. Then describe the transformation.<\/b><\/p>\n<p>Question 6.<br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116290\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-6.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-6.jpg\" width=\"659\" height=\"347\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-6.jpg 659w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-6-300x158.jpg 300w\" sizes=\"(max-width: 659px) 100vw, 659px\" \/><\/p>\n<p>Question 8.<br \/>\nf(x) = 4<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116291\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-8.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-8.jpg\" width=\"620\" height=\"247\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-8.jpg 620w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-8-300x120.jpg 300w\" sizes=\"(max-width: 620px) 100vw, 620px\" \/><\/p>\n<p><b>Match the transformation of f(x) = x with its graph. Then write a rule for g.<\/b><\/p>\n<p>Question 9.<br \/>\ng(x) = 2f(x) + 3<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39043\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Solutions-Chapter-1-Linear-Functions-107.png\" alt=\"Big Ideas Math Algebra 2 Solutions Chapter 1 Linear Functions 107\" width=\"225\" height=\"183\" \/><br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116292\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-9.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-9.jpg\" width=\"479\" height=\"574\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-9.jpg 479w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-9-250x300.jpg 250w\" sizes=\"(max-width: 479px) 100vw, 479px\" \/><\/p>\n<p>Question 10.<br \/>\ng(x) = 3f(x) &#8211; 2<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39044\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-108.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 1 Linear Functions 108\" width=\"210\" height=\"189\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116293\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-.10JPG.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-.10JPG.jpg\" width=\"484\" height=\"581\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-.10JPG.jpg 484w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-.10JPG-250x300.jpg 250w\" sizes=\"(max-width: 484px) 100vw, 484px\" \/><\/p>\n<p>Question 11.<br \/>\ng(x) = -2f(x) &#8211; 3<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39045\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-109.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 1 Linear Functions 109\" width=\"216\" height=\"183\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116294\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-11.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-11.jpg\" width=\"459\" height=\"589\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-11.jpg 459w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-11-234x300.jpg 234w\" sizes=\"(max-width: 459px) 100vw, 459px\" \/><\/p>\n<p>Question 12.<br \/>\nA bakery sells doughnuts, muffins, and bagels. The bakery makes three times as many doughnuts as bagels. The bakery earns a total of $150 when all 130 baked items in stock are sold. How many of each item are in stock? Justify your answer.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39046\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-110.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 1 Linear Functions 110\" width=\"336\" height=\"152\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-110.png 336w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-110-300x136.png 300w\" sizes=\"(max-width: 336px) 100vw, 336px\" \/><br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116295\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-12.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-12.jpg\" width=\"480\" height=\"875\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-12.jpg 480w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-12-165x300.jpg 165w\" sizes=\"(max-width: 480px) 100vw, 480px\" \/><\/p>\n<p>Question 13.<br \/>\nA fountain with a depth of 5 feet is drained and then refilled. The water level (in feet) after t minutes can be modeled by f(t) = \\(\\frac{1}{4}\\)|t &#8211; 20 |. A second fountain with the same depth is drained and filled twice as quickly as the first fountain. Describe how to transform the graph of f to model the water level in the second fountain after t minutes. Find the depth of each fountain after 4 minutes. Justify your answers.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-116296\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-13.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-13.jpg\" width=\"561\" height=\"1039\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-13.jpg 472w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-chapter-test-13-162x300.jpg 162w\" sizes=\"(max-width: 561px) 100vw, 561px\" \/><\/p>\n<h3><a id=\"Linear_Functions_Cumulative_Assessment\"><\/a>Linear Functions Cumulative Assessment<\/h3>\n<p>Question 1.<br \/>\nDescribe the transformation of the graph of f(x) = 2x &#8211; 4 represented in each graph.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39047\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-111.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 1 Linear Functions 111\" width=\"475\" height=\"478\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-111.png 475w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-111-298x300.png 298w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-111-150x150.png 150w\" sizes=\"(max-width: 475px) 100vw, 475px\" \/><br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116345\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-1.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-1.jpg\" width=\"550\" height=\"818\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-1.jpg 550w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-1-202x300.jpg 202w\" sizes=\"(max-width: 550px) 100vw, 550px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116347\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-1a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-1a.jpg\" width=\"651\" height=\"877\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-1a.jpg 651w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-1a-223x300.jpg 223w\" sizes=\"(max-width: 651px) 100vw, 651px\" \/><br \/>\nQuestion 2.<br \/>\nThe table shows the tuition costs for a private school between the years 2010 and 2013.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39048\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-112.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 1 Linear Functions 112\" width=\"464\" height=\"84\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-112.png 464w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-112-300x54.png 300w\" sizes=\"(max-width: 464px) 100vw, 464px\" \/><br \/>\na. Verify that the data show a linear relationship. Then write an equation of a line of fit.<br \/>\nb. Interpret the slope and y-intercept in this situation.<br \/>\nc. Predict the cost of tuition in 2015.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116350\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-2.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-2.jpg\" width=\"668\" height=\"618\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-2.jpg 668w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-2-300x278.jpg 300w\" sizes=\"(max-width: 668px) 100vw, 668px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116351\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-2a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functionhttps:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-2a.jpgs-assessments-2a.jpg\" width=\"538\" height=\"624\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-2a.jpg 538w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-2a-259x300.jpg 259w\" sizes=\"(max-width: 538px) 100vw, 538px\" \/><\/p>\n<p>Question 3.<br \/>\nYour friend claims the line of best fit for the data shown in the scatter plot has a correlation coefficient close to 1. Is your friend correct? Explain your reasoning.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39049\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-113.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 1 Linear Functions 113\" width=\"143\" height=\"137\" \/><br \/>\nAnswer:<br \/>\nUse the graphing calculator to find the equation.<br \/>\nFrom the graph, the correlation coefficient is r = -0.86<br \/>\nSo, my friend is not correct, since the correlation coefficient is close to -1.<\/p>\n<p>Question 4.<br \/>\nOrder the following linear systems from least to greatest according to the number of solutions.<br \/>\nA. 2x + 4y &#8211; z = 7<br \/>\n14x + 28y &#8211; 7z = 49<br \/>\n-x + 6y + 12z = 13<br \/>\nB. 3x &#8211; 3y + 3z = 5<br \/>\n-x + y &#8211; z = 5<br \/>\n-x + y &#8211; z = 8<br \/>\n14x &#8211; 3y + 12z = 108<br \/>\nC. 4x &#8211; y + 2z = 18<br \/>\n-x + 2y + z = 11<br \/>\n3x + 3y &#8211; 4z = 44<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116355\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-4.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-4.jpg\" width=\"680\" height=\"740\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-4.jpg 680w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-4-276x300.jpg 276w\" sizes=\"(max-width: 680px) 100vw, 680px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116354\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-4a.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-4a.jpg\" width=\"635\" height=\"726\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-4a.jpg 635w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-4a-262x300.jpg 262w\" sizes=\"(max-width: 635px) 100vw, 635px\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116353\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-4b.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-4b.jpg\" width=\"554\" height=\"850\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-4b.jpg 554w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-4b-196x300.jpg 196w\" sizes=\"(max-width: 554px) 100vw, 554px\" \/><\/p>\n<p>Question 5.<br \/>\nYou make a DVD of three types of shows: comedy, drama, and reality-based. An episode of a comedy lasts 30 minutes, while a drama and a reality-based episode each last 60 minutes. The DVDs can hold 360 minutes of programming.<br \/>\na. You completely fill a DVD with seven episodes and include twice as many episodes of a drama as a comedy. Create a system of equations that models the situation.<br \/>\nb. How many episodes of each type of show are on the DVD in part (a)?<br \/>\nc. You completely fill a second DVD with only six episodes. Do the two DVDs have a different number of comedies? dramas? reality-based episodes? Explain.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116358\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-5.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-5.jpg\" width=\"434\" height=\"420\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-5.jpg 434w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-5-300x290.jpg 300w\" sizes=\"(max-width: 434px) 100vw, 434px\" \/><\/p>\n<p>Question 6.<br \/>\nThe graph shows the height of a hang glider over time. Which equation models the situation?<br \/>\nA. y + 450 = 10x<br \/>\nB. 10y = -x+ 450<br \/>\nC. \\(\\frac{1}{10}\\)y = -x + 450<br \/>\nD. 10x + y = 450<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39050\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-114.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 1 Linear Functions 114\" width=\"226\" height=\"269\" \/><br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/15\/07\/12\/203a309c2ac00ef77625855dde6bcafb\/cf1e0aadecdcb3d1d41f6ed66fa3fb96\/lateximg.png?tcb=1623324819\" \/><\/p>\n<p>Question 7.<br \/>\nLet f(x) = x and g(x) = -3x &#8211; 4. Select the possible transformations (in order) of the graph of f represented by the function g.<br \/>\nA. reflection in the x-axis<br \/>\nB. reflection in the y-axis<br \/>\nC. vertical translation 4 units down<br \/>\nD. horizontal translation 4 units right<br \/>\nE. horizontal shrink by a factor of \\(\\frac{1}{3}\\)<br \/>\nF. vertical stretch by a factor of 3<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" src=\"https:\/\/d2nchlq0f2u6vy.cloudfront.net\/18\/09\/02\/3a325656a2cee362335e98feb9295eb3\/a759db36e2d7cb65c7d5ef98f943fdc3\/lateximg.png?tcb=1623324851\" \/><\/p>\n<p>Question 8.<br \/>\nChoose the correct equality or inequality symbol which completes the statement below about the linear functions f and g. Explain your reasoning.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-39051\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-115.png\" alt=\"Big Ideas Math Answer Key Algebra 2 Chapter 1 Linear Functions 115\" width=\"522\" height=\"169\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-115.png 522w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Answer-Key-Algebra-2-Chapter-1-Linear-Functions-115-300x97.png 300w\" sizes=\"(max-width: 522px) 100vw, 522px\" \/><br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-116360\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-8.jpg\" alt=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-8.jpg\" width=\"368\" height=\"389\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-8.jpg 368w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-idea-math-algerbra-2-chapter-1-linear-functions-assessments-8-284x300.jpg 284w\" sizes=\"(max-width: 368px) 100vw, 368px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Do you have any doubts regarding solving the linear functions? If our guess is correct, then this is the right page for you to complete your assignments in time. We provide Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions that help you to enhance your problem-solving skills in depth. Build self-confidence by Answering &#8230; <a title=\"Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions\" class=\"read-more\" href=\"https:\/\/ccssanswers.com\/big-ideas-math-algebra-2-answers-chapter-1\/\" aria-label=\"More on Big Ideas Math Algebra 2 Answers Chapter 1 Linear Functions\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":49885,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Big-Ideas-Math-Algebra-2-Answers-Chapter-1-Linear-Functions.png","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/38508"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=38508"}],"version-history":[{"count":6,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/38508\/revisions"}],"predecessor-version":[{"id":160090,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/38508\/revisions\/160090"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media\/49885"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=38508"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=38508"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=38508"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}