Free Printable WorksheetMathGrade 7Math Curriculum7.RP.A.2b

7.12 Constant of proportionality from graphs Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.12 Constant of proportionality from graphs. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.12 Constant of proportionality from graphs - In multiple-choice items, students choose the correct constant of proportionality from a graph and the correct unit-rate interpretation. (CCSS 7.RP.A.2b; CA 7.RP.2b; MA 7.RP.2b; NY 7.RP.2b; FL MA.7.AR.4.2; TX 7.4(C); VA 7.PFA.1)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 7

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

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Below are sample questions representative of the exercises included on this worksheet and related 7.12 Constant of proportionality from graphs skill assessments:

Problem 1Difficulty: Mastery
A coordinate graph shows a proportional relationship. At the point (3.2, 16), x is minutes and y is liters drained. Which answer gives the constant of proportionality and the unit rate?
Ak = 0.2; the unit rate is 0.2 liters per minute
Bk = 3.2; the unit rate is 3.2 liters per minute
Ck = 5; the unit rate is 5 minutes per 1 liter
Dk = 5; the unit rate is 5 liters per minute
Solution & Explanation:For a proportional graph, the constant of proportionality is k = y/x. Using the point (3.2, 16), k = 16/3.2 = 5. Since y represents liters drained and x represents minutes, the unit rate is 5 liters per minute.
Problem 2Difficulty: Mastery
The graph models a unit-rate situation with a line from the origin through (2.5, 12.5). The axes are cups of batter for x and ounces of topping for y. Which statement gives the constant of proportionality?
Ak = 0.2; the unit rate is 0.2 ounces per 1 cup
Bk = 2.5; the unit rate is 2.5 ounces per 1 cup
Ck = 5; the unit rate is 5 ounces per 1 cup
Dk = 5; the unit rate is 5 cups per 1 ounce
Solution & Explanation:For a proportional graph, the constant of proportionality is k = y/x. Using the point (2.5, 12.5), k = 12.5/2.5 = 5. Since y represents ounces of topping and x represents cups of batter, the unit rate is 5 ounces per 1 cup.
Problem 3Difficulty: Mastery
On the proportional graph, a labeled point on the line is (2.25, 6.75). The x-coordinate measures hours kayaking, and the y-coordinate measures kilometers traveled. Which answer is correct?
Ak = 1/3; the unit rate is 1/3 kilometers per hour
Bk = 3; the unit rate is 3 kilometers per hour
Ck = 2.25; the unit rate is 2.25 kilometers per hour
Dk = 3; the unit rate is 3 hours per 1 kilometer
Solution & Explanation:For a proportional graph, the constant of proportionality is k = y/x. Using the point (2.25, 6.75), k = 6.75/2.25 = 3. Since y represents kilometers traveled and x represents hours kayaking, the unit rate is 3 kilometers per hour.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.RP.A.2b (Primary standard selected for prompt fields in this prompt cell: CCSS 7.RP.A.2b. Skill statement in this prompt cell: In multiple-choice items, students choose the correct constant of proportionality from a graph and the correct unit-rate interpretation. Associated standards listed with this skill in this prompt cell: CCSS 7.RP.A.2b; CA 7.RP.2b; MA 7.RP.2b; NY 7.RP.2b; FL MA.7.AR.4.2; TX 7.4(C); VA 7.PFA.1. Use this prompt-provided wording as the supporting standard description for this workflow.).

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