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6-8 Accelerated 6 Unit 4 Lesson 6

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K-5 Math •6-8 Math 9-12 Math

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•Accelerated 6 Accelerated 7

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 •Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18

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Lesson 7
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Curriculum

IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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IM® 6-8 Math v.360, an IM v.360 curriculum, is ©2024 by Illustrative Mathematics®, and licensed under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).

IM 6-8 Math v.360, an IM v.360 curriculum, is a derivative of IM 6-8 Math.

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Adaptations to add additional English language learner supports are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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Unit 4, Lesson 6

Write Expressions with Variables

Accelerated 6

Practice

Problem 1

Instructions for a craft project say that the length of the red ribbon should be 7 inches less than the length of the blue ribbon.

How long is the red ribbon if the length of the blue ribbon is:

10 inches?

27 inches?

\(x\) inches?
How long is the blue ribbon if the red ribbon is 12 inches?

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Problem 2

Lesson 6 Resources

Student Materials

Tyler has 3 times as many pens as Mai does.

How many pens does Mai have if Tyler has:

15 pens?

21 pens?

\(x\) pens?
Tyler has 18 pens. How many pens does Mai have?

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Problem 3

A bottle holds 24 ounces of water. It has \(x\) ounces of water in it.

What does \(24-x\) represent in this situation?
Write a question about this situation that has \(24-x\) for the answer.

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Problem 4

ForLesson 1: Tape Diagrams and Equations

Write an equation represented by this tape diagram using each of these operations.

Tape diagram. 3 equal parts labeled 9, 9, 9. Total, 27.

addition
subtraction
multiplication
division

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Problem 5

ForLesson 5: Represent Situations with Equations

Select all the equations that describe each situation and then find the solution.

Han's house is 450 meters from school. Lin lives 135 meters closer to school than Han does. What is the distance of Lin’s house from school, \(z\)?
- \(z = 450 + 135\)
- \(z = 450-135\)
- \(z-135 = 450\)
- \(z + 135 = 450\)
Tyler's playlist has 36 songs. Noah’s playlist has one quarter as many songs as Tyler's playlist. How many songs are on Noah’s playlist, \(w\)?
- \(w = 4 \boldcdot 36\)
- \(w = 36 \div 4\)
- \(4w = 36\)
- \(\frac{w}{4} = 36\)

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Problem 6

ForLesson 22: Representing Percentages in Different Ways

You had $30. You spent 70% of the money on books. How much money did you spend on books?

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Problem 7

ForLesson 24: Solving Percentage Problems

A trash bin has a capacity of 50 gallons. What percentage of its capacity is each amount? Show your reasoning.

5 gallons
30 gallons
45 gallons
100 gallons

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