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Unit 2 Quiz 3 - Proportional Relationships and Graphs - Printable Math Worksheets 7th Grade - Wayground

Unit 2 Quiz 3 - Proportional Relationships and Graphs

Meredith Pitts

Created by Meredith Pitts

15 questions

7th Grade

Math

Updated Sept 2026

This Grade 7 mathematics worksheet gives students 15 multiple-choice questions on proportional relationships and graphs. Students calculate and simplify the constant of proportionality, identify what k means in y = kx, use y/x to find k, and connect constants to equations such as y = 7x and y = 1/2x. They also decide whether graphs are proportional by checking whether a straight line passes through the origin. The worksheet extends these skills to interpreting a rate comparison and writing an equation from a weight-and-price relationship, including a decimal constant of proportionality. It is suitable for independent practice, review, or a formative check after instruction on proportional relationships. This free printable worksheet includes a complete answer key, helping teachers quickly verify students’ understanding of equations, graphs, and proportional rates.

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Unit 2 Quiz 3 - Proportional Relationships and Graphs

Total questions: 15

Name
Class
Date
1.
What is the constant of proportionality? Remember to simplify your answer.

What is the constant of proportionality? Remember to simplify your answer.

a)

k = 9/3

b)

k = 9

c)

k = 6

d)

k = 3

2.
What is the constant of proportionality? Remember to simplify your answer.

What is the constant of proportionality? Remember to simplify your answer.

a)

k = 5

b)

k = 1

c)

k = 30

d)

k = 6

3.
What is the constant of proportionality? Remember to simplify your answer.

What is the constant of proportionality? Remember to simplify your answer.

a)

k = 90

b)

k = 1

c)

k = 9

d)

k = 10

4.

What makes a graph proportional?

a)

Curvy line

b)

Goes through origin

c)

Straight line

d)

Straight line that goes through the origin

5.
Does the graph represent a proportional relationship?

Does the graph represent a proportional relationship?

a)

Yes

b)

No

6.
Does the graph represent a proportional relationship?

Does the graph represent a proportional relationship?

a)

Yes

b)

No

7.
Does the graph represent a proportional relationship?

Does the graph represent a proportional relationship?

a)

Yes

b)

No

8.
Who is running faster?

Who is running faster?

a)

Tyler

b)

Mai

c)

Diego

d)

Lin

9.

Which equation represents a proportional relationship?

a)

y = x + 3

b)

y = 7x

c)

y = x - 9

d)

y = 4x + 1

10.

Which equation represents a proportional relationship?

a)

y = 1/2x

b)

y = 14 - x

c)

y = 10 + x

d)

y = 5x + 8

11.

Which equation DOES NOT represent a proportional relationship?

a)

y = 11x

b)

y = 1/2 x

c)

y = x/4

d)

y = x + 3

12.

What does k represent in the equation

y = kx?

a)

constant for preparation

b)

kangaroos

c)

constant of proportionality

d)

Krispy Kreme

13.

How do you find k?

a)

x/y

b)

y=kx

c)

y/x

d)

x ⋅ y

14.
Identify the constant of proportionality. Write an equation to relate weight, w, to the price, p.

Identify the constant of proportionality. Write an equation to relate weight, w, to the price, p.

a)

k = 0.45; p = 0.45w

b)

k = 45; p = 45w

c)

k = 0 .22; p = 0.22w

d)

k = 22; p = 22w

15.
Is this graph proportional?

Is this graph proportional?

a)

Yes

b)

No

WaygroundAnswer Key

Unit 2 Quiz 3 - Proportional Relationships and Graphs

Total questions: 15

1.
d)

k = 3

2.
a)

k = 5

3.
c)

k = 9

4.
d)

Straight line that goes through the origin

5.
a)

Yes

6.
b)

No

7.
b)

No

8.
d)

Lin

9.
b)

y = 7x

10.
a)

y = 1/2x

11.
d)

y = x + 3

12.
c)

constant of proportionality

13.
c)

y/x

14.
a)

k = 0.45; p = 0.45w

15.
a)

Yes

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FAQs

What does this worksheet cover about proportional relationships and graphs?

This Grade 7 worksheet uses 15 multiple-choice questions to assess how students identify proportional relationships in equations and graphs. Students calculate and simplify k, use y/x to find the constant of proportionality, recognize that a proportional graph is a straight line through the origin, and write an equation for a weight-and-price relationship.

How can I use this worksheet to teach constants of proportionality and proportional graphs?

Introduce the worksheet by modeling how to calculate k as y/x and connect that value to the equation y = kx. Then have students explain why equations with an added constant, such as y = x + 3, are not proportional and why a proportional graph must pass through the origin. Use the multiple-choice graph and equation items for turn-and-talk reasoning before assigning the full set independently.

What mistakes should I watch for on this proportional relationships worksheet?

Watch for students failing to simplify ratios when calculating k, reversing y/x as x/y, or choosing a coefficient without checking the relationship. Students may also select any straight-line graph as proportional without checking whether it passes through the origin, or mistake equations with an added or subtracted constant for equations in the form y = kx. In the final weight-and-price item, check that students match the decimal constant with the correct equation.

How do I assign and grade this proportional relationships worksheet?

You can assign this 15-question worksheet as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key for checking students’ selections, calculations, graph interpretations, and equation choices. For printable submissions, scan student work with the Wayground for Teachers app to support grading.

How can I differentiate this worksheet on proportional relationships?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the 15 multiple-choice items, equations, and graph questions are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options better support students working with the proportional-relationship vocabulary and notation.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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