💬 Proportional Relationships: Mixed Practice & Reasoning (7.RP.A.2)

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Recognize and represent proportional relationships; find the constant of proportionality. Read each problem. Draw or write to solve. Label your answer.

1. Is this table proportional? x: 2, 4, 6 → y: 8, 16, 24

Work

Answer: ______________

2. y is proportional to x. When x = 13, y = 39. Find k and write the equation.

Work

Answer: ______________

3. Is this table proportional? x: 2, 4, 6 → y: 10, 20, 31

Work

Answer: ______________

4. y is proportional to x. When x = 11, y = 22. Find k and write the equation.

Work

Answer: ______________

5. Is this table proportional? x: 2, 4, 6 → y: 16, 32, 48

Work

Answer: ______________

6. y is proportional to x. When x = 12, y = 48. Find k and write the equation.

Work

Answer: ______________

Answer key: 1) yes — y = 4x · 2) k = 3; y = 3x · 3) no — y/x is not constant · 4) k = 2; y = 2x · 5) yes — y = 8x · 6) k = 4; y = 4x

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Worksheets › Grade 7 Math › Proportional Relationships › Proportional Relationships

Grade 7 (ages 12–13)Numbers & mathsFree printable PDF

About this grade 7 worksheet

Free Grade 7 math worksheet (Common Core 7.RP.A.2): proportional relationships — mixed practice with space to reason and check, with answer key. Skill: Recognize and represent proportional relationships; find the constant of proportionality. Level: Grade 7 — also suits Year 8 (UK).

For teachers: skills & standards

CCSS 7.RP.A.2: Recognize and represent proportional relationships; find the constant of proportionality
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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It is designed for Grade 7 (ages 12–13), but use it with any child who is ready.

What skills does it build?

Recognize and represent proportional relationships; find the constant of proportionality.

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More “Proportional Relationships” printables (7.rp.a.2: recognize and represent proportional relationships; find the constant of proportionality)

Proportional Relationships: Practice A (7.RP.A.2) · Proportional Relationships: Practice B (7.RP.A.2) · Proportional Relationships: Show Your Thinking (7.RP.A.2) · Proportional Relationships: Quick Check (7.RP.A.2)

All 5 proportional relationships sheets → · Grade 7 Math: all 10 skills → · All Common Core grades

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