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Identifying Proportional Relationships - Printable Math Worksheets year 7 - Wayground

Identifying Proportional Relationships

Brittany Snelson

Created by Brittany Snelson

10 questions

7th Grade

Math

Updated Sept 2026

This Grade 7 mathematics worksheet helps students identify proportional relationships from ordered pairs, graphs, tables, and equations. Students review the meaning of the origin, recognize ordered-pair notation, identify the two graph requirements for proportionality—a straight line through (0,0)—and classify graphs as proportional or non-proportional. Across 10 questions, students complete six multiple-choice items, three multiple-select items, and one open-ended response. They graph ordered pairs from a table, determine whether the relationship is proportional, calculate the constant of proportionality using y/x, and explain the requirements in their own words. This free printable worksheet includes a complete answer key for Grade 7 math practice, review, or assessment.

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Identifying Proportional Relationships

Total questions: 10

Name
Class
Date
1.

The point (0,0) on a graph where the x-axis and y-axis intersect is referred to as:

a)

ordered pair

b)

origin

c)

analyze

d)

proportional relationship

2.

Select ALL ordered pairs you see below.

a)

2

b)

(9,5)

c)

(-2,6)

d)

4 - n

3.

What are the TWO important characteristics a graph needs to have to be considered Proportional?

a)

It needs to be a straight line

b)

The line needs to pass through the origin

c)

The line CANNOT pass through the origin

d)

The line CANNOT be a straight line.

4.
Is this graph proportional or non-proportional?

Is this graph proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

5.
This graph is NOT proportional. What would MAKE it be proportional? (What requirement is it missing?)

This graph is NOT proportional. What would MAKE it be proportional? (What requirement is it missing?)

a)

The line needs to be straighter.

b)

The line needs to start at the origin (0,0)

6.
Is this graph proportional or not proportional?

Is this graph proportional or not proportional?

a)

Proportional

b)

Non-proportional

7.
On your own piece of paper- graph the ordered pairs from the table and determine if the graph is proportional or not.

On your own piece of paper- graph the ordered pairs from the table and determine if the graph is proportional or not.

a)

This table is proportional

b)

This table is not proportional

8.
Using the equation y x \frac{y}{x} x y ​ determine the constant of proportionality of the table. (Select ONE answer)

Using the equation

 yx\frac{y}{x}  determine the constant of proportionality of the table. (Select ONE answer)

a)

9

b)

(3, 27)

c)

18

d)

0

9.

Select all the ways you can determine if a graph is proportional.

a)

It is in a straight line

b)

It goes through the origin

c)

It goes up and over (or down and back) the same amount every time

d)

All graphs are proportional

10.

Write the TWO requirements for a graph to be considered proportional?

4 lines
WaygroundAnswer Key

Identifying Proportional Relationships

Total questions: 10

1.
b)

origin

2.
c)

(-2,6)

, b)

(9,5)

3.
b)

The line needs to pass through the origin

, a)

It needs to be a straight line

4.
a)

Proportional

5.
b)

The line needs to start at the origin (0,0)

6.
b)

Non-proportional

7.
a)

This table is proportional

8.
a)

9

9.
c)

It goes up and over (or down and back) the same amount every time

, b)

It goes through the origin

, a)

It is in a straight line

10.
n/a

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FAQs

What does this worksheet cover about identifying proportional relationships?

This Grade 7 worksheet uses multiple-choice, multiple-select, and open-ended questions to help students identify proportional relationships from ordered pairs, graphs, and tables. Students determine whether a graph is a straight line through the origin, graph ordered pairs from a table, calculate the constant of proportionality using y/x, and state the two requirements for a proportional graph.

How can I use this worksheet to teach students to identify proportional relationships?

Begin by reviewing the origin and how ordered pairs are written, then model why a proportional graph must be a straight line that passes through (0,0). Have students apply those criteria to the worksheet’s graph-classification questions, graph the ordered pairs from the table, and calculate the constant of proportionality with y/x. Ask students to justify each classification and use the final open-ended item to summarize both requirements.

What mistakes should I watch for when students complete this proportional relationships worksheet?

Students may select any straight-line graph as proportional without checking whether it passes through the origin, or overlook the origin requirement when correcting a non-proportional graph. They may also mistake single numbers or expressions for ordered pairs, choose only one correct option on the multiple-select items, or calculate the constant of proportionality from the wrong ratio instead of y/x. Check that students graph the table’s ordered pairs accurately before deciding whether the relationship is proportional.

How do I assign and grade this proportional relationships worksheet?

You can assign this worksheet as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key covering the ordered-pair, graph, table, constant-of-proportionality, and open-ended questions. For printable submissions, scan student work with the Wayground for Teachers app to help grade responses.

How can I differentiate this proportional relationships worksheet for my students?

Under the worksheet’s Advanced Settings, adjust font spacing and font size to make the graph-analysis questions, ordered pairs, and response choices easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the proportional-relationships tasks.

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 support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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