7th grade finding the constant across representations worksheets
Find the output per one input unit from each supplied view. Show both calculations and check that the rates agree. Include units in your answer.
Free printable PDF worksheet, aligned to Common Core 7.RP.A.2.b.
Each print is a different sheet with its own answer key. You don't need to sign up.
Need one more? These are the skills next door at this grade.
The kind of problems you'll get
Find the output per one input unit from each supplied view. Show both calculations and check that the rates agree. Include units in your answer.
-
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: 3/2 m/hr
-
Cloth length y in meters against time x in hours. y = 1 × x Axes: Time (hr); Cloth length (m). Marked points: Origin (0, 0); P₁ (1, 1); P₂ (2, 2); P₃ (3, 3).
Answer: 1 m/hr
-
Rice cost y in dollars against mass x in kilograms. At a constant rate, 1 kg of input corresponds to $0.50 of output. x (kg): 0, 1, 2, 3; y ($): 0.00, 0.50, 1.00, 1.50.
Answer: $0.50/kg
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
- Finding the constant across representations. Find the output per one input unit from each supplied view. Show both calculations and check that the rates agree. Include units in your answer. 4 problems per page.
Every version prints on US Letter or A4, with its answer key after the problems.
How to teach this
Ask your child to name the input and output in each view. Have them calculate the output per one input unit twice and explain why the rates agree.
Watch for: Divide output by input, keeping that order in both views. A graph point shows a pair of quantities; divide its output coordinate by its nonzero input coordinate.
Common questions about 7th grade finding the constant across representations
- What does the answer key show?
- By default, the key includes each calculation, its units and the reason for the step. Choose Answers only for final answers and any answer diagrams, without the worked steps.
- What is included in this worksheet?
- Four paired-representation tasks connect tables, graphs, equations and descriptions.
Related worksheets
- 7th grade comparing rates with conversions Same grade, nearby skill
- 7th grade fractional unit rates Same grade, nearby skill
- 7th grade graphing proportional relationships Same grade, nearby skill
- 7th grade interpreting proportional graph points Same grade, nearby skill
- Finding the constant across representations, all grades The full progression
- All 7th grade math worksheets Every skill at this level
- All 7th grade worksheets Everything at this level
Ready to print one?
Need a fresh set of problems? Print another copy. The difficulty you picked above stays.
Aligned to Common Core 7.RP.A.2.b. Reviewed by the One more sheet team. Content version 241, updated October 2026.
Spot a mistake on this sheet? Tell us. · About these worksheets