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🧠 Proportional Relationships: Show Your Thinking (7.RP.A.2)

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Recognize and represent proportional relationships; find the constant of proportionality. Solve each problem and show your work.

1. Is this table proportional? x: 2, 4, 6 → y: 10, 20, 31
Show your work
2. y is proportional to x. When x = 2, y = 14. Find k and write the equation.
Show your work
3. Is this table proportional? x: 2, 4, 6 → y: 18, 36, 54
Show your work
4. y is proportional to x. When x = 7, y = 49. Find k and write the equation.
Show your work
5. Is this table proportional? x: 2, 4, 6 → y: 22, 44, 66
Show your work
6. y is proportional to x. When x = 6, y = 42. Find k and write the equation.
Show your work

Explain: How did you solve problem 1? Could you check it another way?

Answer key: 1) no — y/x is not constant · 2) k = 7; y = 7x · 3) yes — y = 9x · 4) k = 7; y = 7x · 5) yes — y = 11x · 6) k = 7; y = 7x
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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 — problems with space to show work and explain reasoning, 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

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What age is it for?

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: Mixed Practice & Reasoning (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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