Eureka Math Grade 6 Module 4 Lesson 34 Answer Key

Engage NY Eureka Math Grade 6 Module 4 Lesson 34 Answer Key

Eureka Math Grade 6 Module 4 Lesson 34 Example Answer Key

Example 1:

Eureka Math Grade 6 Module 4 Lesson 34 Example Answer Key 1
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Example Answer Key 2

Example 2:

Kelly works for Quick Oil Change. If customers have to wait longer than 20 minutes for the oil change, the company does not charge for the service. The fastest oil change that Kelly has ever done took 6 minutes. Show the possible customer wait times in which the company charges the customer Eureka Math Grade 6 Module 4 Lesson 34 Example Answer Key 3
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Example Answer Key 4
6 ≤ x ≤ 20

Example 3:

Gurnaz has been mowing lawns to save money for a concert. Gurnaz will need to work for at least six hours to save enough money, but he must work fewer than 16 hours this week. Write an inequality to represent this situation, and then graph the solution.
Eureka Math Grade 6 Module 4 Lesson 34 Example Answer Key 5
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Example Answer Key 6
6 ≤ x ≤ 16

Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key

Exercises 1 – 5:

Write an inequality to represent each situation. Then, graph the solution.

Exercise 1.
Blayton is at most 2 meters above sea level.
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 7
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 8
b ≤ 2 where b is Blayton’s position in relationship to sea level in meters.

Exercise 2.
Edith must read for a minimum of 20 minutes.
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 9
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 10
E ≤ 20, where E is the number of minutes Edith reads.

Exercise 3.
Travis milks his cows each morning. He has never gotten fewer than 3 gallons of milk; however, he always gets fewer than 9 gallons of milk.
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 11
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 12
3 ≤ x < 9, where x represents the gallons of milk.

Exercise 4.
Rita can make 8 cakes for a bakery each day. So far, she has orders for more than 32 cakes. Right now, Rita needs more than four days to make all 32 cakes.
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 13
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 14
x > 4, where x is the number of days Rito has to bake the cakes.

Exercise 5.
Rita must have all the orders placed right now done In 7 days or fewer. How will this change your inequality and your graph?
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 15
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 16
4 < x ≤ 7
Our inequality will change because there is a range for the number of days Rita has to bake the cakes. The graph has changed because Rita is more limited in the amount of time she has to bake the cakes. Instead of the graph showing any number larger than 4, the graph now has a solid circle at 7 because Rita must be done baking the cakes in a maximum of 7 days.

Possible Extension Exercises 6 – 10:

Exercise 6.
Kasey has been mowing lawns to save up money for a concert. He earns $15 per hour and needs at least $90 to go to the concert. How many hours should he mow?
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 17
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 18
15 x ≥ 90
\(\frac{15 x}{15} \geq \frac{90}{15}\)
x ≥ 6
kasey will need to mow for 6 or more hours.

Exercise 7.
Rachel can make 8 cakes for a bakery each day. So far, she has orders for more than 32 cakes. How many days will it take her to complete the orders?
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 19
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 20
8x > 32
\(\frac{8 x}{8}>\frac{32}{8}\)
x > 4

Exercise 8.
Ranger saves $70 each week. He needs to save at least $2,800 to go on a trip to Europe. How many weeks will he need to save?
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 21
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 22
70x ≥ 2800
\(\frac{70 x}{70} \geq \frac{2800}{70}\)
x ≥ 40

Exercise 9.
Clara has less than $75. She wants to buy 3 pairs of shoes. What price shoes can Clara afford if all the shoes are the same price?
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 23
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 24
3x < 75
\(\frac{3 x}{3}<\frac{75}{3}\)
x < 25
Clara can afford shoes that are greater than $0 and less than $25.

Exercise 10.
A gym charges $25 per month plus $4 extra to swim in the pool for an hour. If a member only has $45 to spend each month, at most how many hours can the member swim?
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 25
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Exercise Answer Key 26
4x + 25 ≤ 45
4x + 25 – 25 ≤ 45 – 25
4x ≤ 20
\(\frac{4 x}{4} \leq \frac{20}{4}\)
x ≤ 5

The member can swim in the pool for 5 hours. However, we also know that the total amount of time the member spends in the pool must be greater than or equal to 0 hours because the member may choose not to swim.
0 ≤ x ≤ 5

Eureka Math Grade 6 Module 4 Lesson 34 Problem Set Answer Key

Write and graph an inequality for each problem.

Question 1.
At least 13
Eureka Math Grade 6 Module 4 Lesson 34 Problem Set Answer Key 27
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Problem Set Answer Key 28
x ≥ 13

Question 2.
Less than 7
Eureka Math Grade 6 Module 4 Lesson 34 Problem Set Answer Key 29
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Problem Set Answer Key 30
x < 7

Question 3.
Chad will need at least 24 minutes to complete the 5k race. However, he wants to finish in under 30 minutes.
Eureka Math Grade 6 Module 4 Lesson 34 Problem Set Answer Key 31
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Problem Set Answer Key 32
24 ≤ x < 30

Question 4.
Eva saves $60 each week. Since she needs to save at least $2,400 to go on a trip to Europe, she will need to save for at least 40 weeks.
Eureka Math Grade 6 Module 4 Lesson 34 Problem Set Answer Key 33
Answer:
Eureka Math Grade 6 Module 4 Lesson 34 Problem Set Answer Key 34
x ≥ 40

Question 5.
Clara has $100. She wants to buy 4 pairs of the same pants. Due to tax, Clara can afford pants that are less than $25.
Eureka Math Grade 6 Module 4 Lesson 34 Problem Set Answer Key 35
Answer:
Clara must spend less than $25, but we also know that Clara will spend more than $0 when she buys pants at the store.
0 < x < 25
Eureka Math Grade 6 Module 4 Lesson 34 Problem Set Answer Key 36

Question 6.
A gym charges $30 per month plus $4 extra to swim in the poo1 for an hour. Because a member has just $50 to spend at the gym each month, the member can swim at most 5 hours.
Eureka Math Grade 6 Module 4 Lesson 34 Problem Set Answer Key 37
Answer:
The member can swim in the pool for 5 hours. However, we also know that the total amount of time the member spends in the pool must be greater than or equal to 0 hours because the member may choose not to swim.
0 ≤ x ≤ 5
Eureka Math Grade 6 Module 4 Lesson 34 Problem Set Answer Key 38

Eureka Math Grade 6 Module 4 Lesson 34 Exit Ticket Answer Key

For each question, write an inequality. Then, graph your solution.

Question 1.
Keisha needs to make at least 28 costumes for the school play. Since she can make 4 costumes each week, Keisha plans to work on the costumes for at least 7 weeks.
Eureka Math Grade 6 Module 4 Lesson 34 Exit Ticket Answer Key 39Eureka Math Grade 6 Module 4 Lesson 34 Exit Ticket Answer Key 39
Answer:
x ≥ 7
Keisha should plan to work on the costumes for 7 or more weeks.
Eureka Math Grade 6 Module 4 Lesson 34 Exit Ticket Answer Key 40

Question 2.
If Keisha has to have the costumes complete in 10 weeks or fewer, how will our solution change?
Eureka Math Grade 6 Module 4 Lesson 34 Exit Ticket Answer Key 41
Answer:
Keisha had 7 or more weeks in problem 1. It will still take her at least 7 weeks, but she cannot have more than 10 weeks.
7 ≤ x ≤ 10
Eureka Math Grade 6 Module 4 Lesson 34 Exit Ticket Answer Key 42

Leave a Comment