WorksheetsProportional Relationships
Total questions: 7
Name
Class
Date
Answer KeyProportional Relationships
Total questions: 7
1.
a)
8
2.
d)
k =
3.
d)
y = x
4.
b)
$13.95
5.
c)
95
6.
b)
y = 75x
7.
c)
y = 25x
Proportional Relationships
Created by Jamie Doby
7 questions
7th Grade
Math
Updated Jun 2026
This free printable Grade 7 mathematics worksheet helps students identify and use the constant of proportionality, k, in proportional relationships. Across seven multiple-choice questions, students determine k from an equation such as y = 8x, interpret tables, select equations that represent tabular relationships, identify a unit rate in a restaurant context, and connect graphs to proportional equations. The worksheet gives students practice moving between representations of proportional relationships: equations, tables, graphs, and a real-world rate. It is useful for introducing or reviewing how the coefficient in y = kx represents the proportionality constant and how that value determines the matching equation. A complete answer key is included, making this free printable worksheet suitable for independent practice, classwork, homework, or a quick check of Grade 7 understanding.
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FAQs
What does this proportional relationships worksheet cover?
This Grade 7 worksheet covers identifying the constant of proportionality, k, across equations, tables, graphs, and a restaurant rate situation. Its seven multiple-choice items require students to determine k, choose an equation such as y = kx, and connect a graph or table to the correct proportional relationship.
How can I use this worksheet to teach the constant of proportionality?
Introduce the relationship y = kx, emphasizing that k is the coefficient of x and represents the unit rate. Then have students explain how the same k appears in the worksheet’s equations, tables, graphs, and buffet-price example before completing the multiple-choice items independently or discussing each choice with a partner.
What mistakes should I watch for on this proportional relationships worksheet?
Watch for students selecting the full expression, such as 8x, instead of the constant k, or confusing k with a table entry that is not the unit rate. Students may also reverse x and y when reading the graph-based equations or choose a total price instead of the per-person rate in the buffet question.
How do I assign and grade this proportional relationships worksheet?
The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all seven multiple-choice questions. For printable submissions, you can scan student work with the Wayground for Teachers app to help grade responses efficiently.
How can I differentiate this worksheet for my students?
Use the worksheet’s Advanced Settings to adjust font spacing and font size so the equations, tables, graph-based items, and answer choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options better support access to the proportional-relationships practice.
Where can I find more worksheets like this on Wayground?
Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.