7th grade graphing proportional relationships worksheets

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Use each equation to make a table on paper for x = 0, 1, 2, 3. Plot those points and draw the graph on 0 ≤ x ≤ 4. Explain why the points can be joined.

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

Each print is a different sheet with its own answer key. You don't need to sign up.

The kind of problems you'll get

Use each equation to make a table on paper for x = 0, 1, 2, 3. Plot those points and draw the graph on 0 ≤ x ≤ 4. Explain why the points can be joined.

  1. Water volume y in liters against time x in minutes. y = 3/2 × x Axes: Time (min); Water volume (L).

    Answer: Join the plotted points with a straight line; both measurements are continuous.

  2. Rice cost y in dollars against mass x in kilograms. y = 2 × x Axes: Mass (kg); Cost (USD).

    Answer: Join the plotted points with a straight line; both measurements are continuous.

  3. Cloth length y in meters against time x in hours. y = 2 × x Axes: Time (hr); Cloth length (m).

    Answer: Join the plotted points with a straight line; both measurements are continuous.

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 graphing proportional relationships

What does the answer key include?
The answer key shows the completed table and graph, with a short explanation of why the points can be joined. This sheet does not offer a separate worked key.
What numbers appear on these sheets?
Rates range from 1/2 to 2 in half steps, with inputs from 0 to 4.

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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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