{"id":147222,"date":"2022-11-23T10:59:24","date_gmt":"2022-11-23T05:29:24","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=147222"},"modified":"2022-11-23T10:59:24","modified_gmt":"2022-11-23T05:29:24","slug":"spectrum-math-grade-7-chapter-3-lesson-3-answer-key","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/spectrum-math-grade-7-chapter-3-lesson-3-answer-key\/","title":{"rendered":"Spectrum Math Grade 7 Chapter 3 Lesson 3 Answer Key Creating Expressions to Solve Problems"},"content":{"rendered":"

This handy Spectrum Math Grade 7 Answer Key<\/a><\/strong>\u00a0Chapter 3 Lesson 3.3 Creating Expressions to Solve Problems<\/strong>\u00a0provides detailed answers for the workbook questions.<\/p>\n

Spectrum Math Grade 7 Chapter 3 Lesson 3.3 Creating Expressions to Solve Problems Answers Key<\/h2>\n

Write expressions to solve problems by putting the unknown number, or variable, on one side of the equation and the known values on the other side of the equation. Then, solve for the value of the variable.<\/p>\n

Francine is making earrings and necklaces for six friends. Each pair of earrings uses 6 centimeters of wire and each necklace uses 30 centimeters. How much wire will Francine use?<\/p>\n

Let w represent the amount of wire used.
\nEquation: w = 6 \u00d7 (6 + 30)
\nAnother way of writing this expression is: w = (6 \u00d7 6) + (6 \u00d7 30)
\nHow much wire did Francine use? w = 2 16 centimeters<\/p>\n

Solve each problem.<\/strong><\/p>\n

Question 1.
\nA jaguar can run 40 miles per hour while a giraffe can run 32 miles per hour. If they both run for 4 hours, how
\nmuch farther will the jaguar run?
\nLet d represent the distance.
\nEquation: ________
\nAnother way of writing this is: _________
\nThe jaguar will run ____ miles farther.
\nAnswer:\u00a0 32
\nLet d represent the distance.
\nEquation: 4 x (40 – 32)
\nAnother way of writing this is:\u00a0 d = (4 x 40) – (4 x 32)
\nTherefore d = (160) – (128)
\nd = 32
\nThe jaguar will run 32<\/strong> miles farther.<\/p>\n

Question 2.
\nCharlene sold 15 magazine subscriptions for the school fundraiser. Mark sold 17 subscriptions and Paul sold 12.
\nHow many magazine subscriptions did they sell in all?
\nLet s represent subscriptions.
\nEquation: __________
\nAnother way of writing this is: __________
\nThey sold ________ subscriptions in all.
\nAnswer: 44
\nLet s represent subscriptions.
\nEquation: 15 + 17 +12
\nAnother way of writing this is: s = 15 + 17 +12
\nTherefore, s = 44
\nThey sold 44<\/strong> subscriptions in all.<\/p>\n

Question 3.
\nShara bought 3 bags of chocolate candies for $ 1.25 each 3. and 3 bags of gummy bears for $2.00 each. How much did she spend in all?
\nLet m represent the money spent.
\nEquation: ___________
\nAnother way of writing this is: ____________
\nShara spent ______ on candy.
\nAnswer: $ 9.75
\nLet m represent the money spent.
\nEquation: 3(1.25) + 3(2.00) =\u00a0 m
\nAnother way of writing this is: m\u00a0 = 3 x (1.25 + 2.00)
\nTherefore, m = 9.75
\nShara spent $ 9.75<\/strong> on candy.<\/p>\n

Solve each problem.<\/strong><\/p>\n

Question 1.
\nElsa sold 37 pairs of earrings for $20 each at the craft fair. She is going to use \\(\\frac{1}{4}\\) of the money to buy new CDs and is going to put the rest of the money in her savings account. How much money will she put into her savings account?
\nLet s stand for the amount of money saved.
\nEquation: ______________
\nHow much money did she spend on CDs? ______________
\nHow much money did she put in her savings account?
\n___________________
\nAnswer: 555
\nLet s stand for the amount of money saved.
\nEquation: s = (20 x 37)\u00a0 ( 1 –\u00a0 \\(\\frac{1}{4}\\))
\nElsa sold 37 pairs of earrings for $20 each at the craft fair
\nTherefore, Elsa made 20 x 37 = $ 740
\nShe is going to use \\(\\frac{1}{4}\\) of the money to buy new CDs
\nSo, the amount of money she spent on CDs = 740 x \\(\\frac{1}{4}\\) = 185
\nTherefore, the money she put in her savings account = 740 – 185 = 555
\nHow much money did she spend on CDs? 185
\nHow much money did she put in her savings account?
\n555<\/strong><\/p>\n

Question 2.
\nJason deposits $5 into his savings account twice a week for 6 weeks. How much money will he have saved after 6 weeks?
\nLet s stand for the amount of money saved.
\nEquation: ________________
\nHow much money did he save? ___________
\nAnswer: 60
\nLet s stand for the amount of money saved.
\nEquation: s\u00a0 = (5 x 2) x 6
\nTherefore, s = 60
\nHow much money did he save? 60<\/strong><\/p>\n

Question 3.
\nFour friends went to the movies. Each ticket cost $8 and each person bought popcorn and a soda for $5. How much did they spend in all?
\nLet m stand for the amount of money spent.
\nEquation: ____________
\nWhat is another way to write the above equation? _________
\nHow much money did they spend? _____________
\nAnswer: 52
\nLet m stand for the amount of money spent.
\nEquation: 4 x (8 + 5)
\nWhat is another way to write the above equation? m = (4 x 8 ) + (4 x 5)
\nTherefore, m = 32 + 20
\nm = 52
\nHow much money did they spend? 52<\/strong><\/p>\n

Question 4.
\nAn online store increased the price of a shirt by 17% and charged $3 to ship the shirt to a customer. The customer paid $43 for the shirt. What was the original price of the shirt?
\nLet p stand for the price of the shirt.
\nEquation: ____________
\nHow much was the shirt before the increase and shipping?
\n_____________
\nAnswer:
\nLet p stand for the price of the shirt.
\nEquation: p(1 + \\(\\frac{17}{100}\\)) + 3 = 43
\n\\(\\frac{(100 x p) + (17 x p ) + 300}{100}\\)) = 43
\n\\(\\frac{(100p + 17p + 300}{100}\\)) = 43
\n\\(\\frac{117p + 300}{100}\\)) = 43
\n117p + 300 = 4300
\n117p = 4300 – 300
\n117p = 4000
\np = \\(\\frac{4000}{117}\\))
\np = 34.19
\nHow much was the shirt before the increase and shipping?
\n34.19<\/p>\n

Question 5.
\nDavid and Eric went out to dinner. Their total bill was $45. They added 20% gratuity to the bill. If they split the bill in half, how much did each person spend?
\nLet t stand for the amount each person spent.
\nEquation: ____________
\nHow much money did each person spend? _________
\nAnswer: 27
\nLet t stand for the amount each person spent.
\nEquation: t = (45 + (45 x 0.2) )\u00a0 x \\(\\frac{1}{2}\\)
\nt = (45 + 9) x \\(\\frac{1}{2}\\)
\nt = 54 x \\(\\frac{1}{2}\\)
\nt = 27
\nHow much money did each person spend? 27<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

This handy Spectrum Math Grade 7 Answer Key\u00a0Chapter 3 Lesson 3.3 Creating Expressions to Solve Problems\u00a0provides detailed answers for the workbook questions. Spectrum Math Grade 7 Chapter 3 Lesson 3.3 Creating Expressions to Solve Problems Answers Key Write expressions to solve problems by putting the unknown number, or variable, on one side of the equation … Read more<\/a><\/p>\n","protected":false},"author":14,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[641],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/147222"}],"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\/14"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=147222"}],"version-history":[{"count":4,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/147222\/revisions"}],"predecessor-version":[{"id":162699,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/147222\/revisions\/162699"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=147222"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=147222"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=147222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}