Free Proportional Relationships Worksheets and Practice Sets

A table, a graph, an equation — three ways to check proportionality, one standard (7.RP.A.2). You need practice sets for each, and we've built them.

What's Included

The Proportional Relationships Practice Pack contains five worksheet types. Every worksheet comes with a complete answer key and a Google Slides version for remote learning.

| Worksheet | Skills Covered | Problems | |---|---|---| | Table Practice | Identifying proportional tables, finding $k$, writing $y = kx$ | 20 | | Graph Practice | Identifying proportional graphs, reading points, finding $k$ | 16 | | Equation Practice | Recognizing $y = kx$ form, identifying $k$ | 20 | | Word Problems | Real-world scenarios, writing equations from context | 12 | | Mixed Review | All four skills combined, test-style format | 15 |

Table Practice

Students compute $y \div x$ for each row to determine proportionality.

Sample Problem: Table A has pairs $(3, 12)$, $(5, 20)$, $(7, 28)$. Table B has $(1, 6)$, $(3, 10)$, $(5, 14)$. Which is proportional?

Solution: Table A: $12 \div 3 = 4$, $20 \div 5 = 4$, $28 \div 7 = 4$. $k = 4$. $y = 4x$. Proportional. Table B: ratios differ. Not proportional.

Graph Practice

Students check two conditions: straight line? passes through $(0, 0)$?

Sample Problem: Graph A goes through $(0, 0)$, $(2, 8)$, $(5, 20)$. Graph B goes through $(0, 3)$, $(2, 7)$, $(4, 11)$. Which is proportional?

Solution: Graph A: $k = 8 \div 2 = 4$, through origin. Proportional. Graph B: doesn't pass through $(0, 0)$. Not proportional.

Equation Practice

Students classify equations as proportional or not.

Sample Problem:

1. $y = 6x$ — proportional? $k$?
2. $y = \frac{3}{4}x + 2$ — proportional?
3. $y = 0.2x$ — proportional? $k$?

Answers: 1. Yes, $k = 6$. 2. No. 3. Yes, $k = 0.2$.

Word Problems

Twelve real-world scenarios requiring students to extract the rate and write $y = kx$.

Sample Problem: A faucet drips at a constant rate. After 15 minutes, 45 mL have leaked. After 25 minutes, 75 mL. Write the equation.

Solution: $k = 45 \div 15 = 3$. Check: $75 \div 25 = 3$. $y = 3x$ ($y$: mL, $x$: minutes).

Mixed Review

15 problems combining all four skills — formatted as a unit test. Use as a pretest or post-test.

Standards Alignment

All worksheets align to 7.RP.A.2 and its substandards:

| Standard | Worksheet | |---|--| | 7.RP.A.2 | Mixed Review | | 7.RP.A.2a | Table, Graph | | 7.RP.A.2b | Table, Graph, Equation | | 7.RP.A.2c | Equation, Word Problems | | 7.RP.A.2d | Word Problems |

How to Use These Worksheets

Classwork. Table and graph worksheets as guided practice after instruction.

Homework. Equation and word-problem worksheets. Answer keys make checking fast.

Test prep. Use the mixed review as a timed unit review.

Tutoring. Pull individual pages to target specific gaps.

Remote learning. Fully editable Google Slides. Assign through Google Classroom, Canvas, or Schoology.

FAQ

Are answer keys included? Yes. Every worksheet includes a complete answer key.

Are digital versions available? Yes. All worksheets come as printable PDFs and editable Google Slides.

What grade level are these for? 7th grade (CCSS 7.RP.A.2). Also works for 6th-grade enrichment or 8th-grade review.

How many total problems are in the pack? 83 problems across all five worksheets plus the mixed review.

Do these match common textbook curricula? Aligned to Illustrative Math, Eureka Math, Big Ideas, and Go Math.

Can I purchase individual worksheets? The free pack includes samples. The full bundle is available as one download.

Related: Check your answers using the proportional table checker, calculate unit rates with the unit rate calculator, or read about common mistakes students make.