7th grade proportionality in graphs worksheets

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Decide whether each graph is proportional. A proportional graph must be straight and pass through the origin. Explain why both conditions hold, or identify a condition that fails. Measurements are continuous on 0 ≤ x ≤ 4.

Free printable PDF worksheet, aligned to Common Core 7.RP.A.2.a.

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The kind of problems you'll get

Decide whether each graph is proportional. A proportional graph must be straight and pass through the origin. Explain why both conditions hold, or identify a condition that fails. Measurements are continuous on 0 ≤ x ≤ 4.

  1. Water volume y in liters against time x in minutes. Axes: Time (min); Water volume (L). Marked points: Origin (0, 0); P₁ (1, 1/2); P₂ (2, 2); P₃ (3, 9/2).

    Answer: Not proportional. The graph is curved, so it is not a straight line.

  2. Cloth length y in meters against time x in hours. Axes: Time (hr); Cloth length (m). Marked points: Origin (0, 0); P₁ (1, 3/2); P₂ (2, 3); P₃ (3, 9/2).

    Answer: Proportional. The graph is a straight line. The graph passes through (0, 0).

  3. Rice cost y in dollars against mass x in kilograms. Axes: Mass (kg); Cost (USD). Marked points: Origin (0, 0); P₁ (1, 3/2); P₂ (2, 3); P₃ (3, 9/2).

    Answer: Proportional. The graph is a straight line. The graph passes through (0, 0).

Every print pulls a fresh set of problems at this level, so a make-up test or a second sibling never gets the same sheet.

What's on a 7th grade sheet

Every version prints on US Letter or A4, with its answer key after the problems.

How to teach this

Ask your child to name both quantities and units at each point. These sheets use continuous measurements, so the graph includes the values between marked points.

Watch for: A straight line must also pass through the origin to be proportional. Read each axis scale before plotting a point.

Common questions about 7th grade proportionality in graphs

What does the answer key include?
The complete key shows each graph and explains whether it is proportional. Choose Answers only for the decision, a brief explanation and the graph.
What numbers appear on these sheets?
Proportional rates range from 1/2 to 2 in half steps, with inputs from 0 to 4. Classification also includes offset lines and curves.

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Aligned to Common Core 7.RP.A.2.a. Reviewed by the One more sheet team. Content version 241, updated October 2026.

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