7th grade interpreting proportional graph points worksheets

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Explain what the origin, P₁ and P₃ mean in each context. Name both quantities and their units. Explain how P₁ shows the unit rate. Each graph shows continuous measurements on 0 ≤ x ≤ 4.

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

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The kind of problems you'll get

Explain what the origin, P₁ and P₃ mean in each context. Name both quantities and their units. Explain how P₁ shows the unit rate. Each graph shows continuous measurements on 0 ≤ x ≤ 4.

  1. Cloth length y in meters against time x in hours. Axes: Time (hr); Cloth length (m). Marked points: Origin (0, 0); P₁ (1, 2); P₂ (2, 4); P₃ (3, 6).

    Answer: Origin: 0 hr, 0 m P₁ (unit rate): 1 hr, 2 m P₃: 3 hr, 6 m

  2. Rice cost y in dollars against mass x in kilograms. Axes: Mass (kg); Cost (USD). Marked points: Origin (0, 0); P₁ (1, 2); P₂ (2, 4); P₃ (3, 6).

    Answer: Origin: 0 kg, $0.00 P₁ (unit rate): 1 kg, $2.00 P₃: 3 kg, $6.00

  3. 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, 1); P₃ (3, 3/2).

    Answer: Origin: 0 min, 0 L P₁ (unit rate): 1 min, 1/2 L P₃: 3 min, 3/2 L

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 interpreting proportional graph points

What does the answer key include?
The complete key shows each graph and explains the origin, P₁ and P₃ using the quantities and units. Choose Answers only for the point meanings and the graph.
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.d. Reviewed by the One more sheet team. Content version 241, updated October 2026.

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