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

7.17 Graphing proportional relationships Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.17 Graphing proportional relationships. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.17 Graphing proportional relationships - In multiple-choice items, students select the correct graph for a proportional relationship and identify a point that correctly represents a contextual pair. (CCSS 7.RP.A.2d; CA 7.RP.2d; MA 7.RP.2d; NY 7.RP.2d; FL MA.7.AR.4.3; TX 7.4(A); 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

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 7.17 Graphing proportional relationships skill assessments:

Problem 1Difficulty: Mastery

Which graph best represents this proportional relationship and a correct contextual point? A bus route covers 67.5 miles in 1.5 hours at a constant speed. Use x = 3.25 on the horizontal axis for hours and y on the vertical axis for miles.

AGraph A: straight line crossing the y-axis at (0,3) and passing through (3.25,146.25), with (3.25,146.25) labeled

BGraph B: straight line through (0,0) and (146.25,3.25), with (146.25,3.25) labeled

CGraph C: straight line through (0,0) and (3.25,156.25), with (3.25,156.25) labeled

DGraph D: straight line through (0,0) and (3.25,146.25), with (3.25,146.25) labeled

Solution & Explanation:A proportional relationship is graphed by a straight line through (0,0). Here the constant of proportionality is 45, so when x = 3.25, y = 45 × 3.25 = 146.25. The correct graph includes (3.25,146.25) and passes through the origin.

Problem 2Difficulty: Mastery

Use the context to find the unit rate before choosing a graph: A math club solves 112.5 problems in 9 sessions at a constant rate. If x represents sessions and y represents problems solved, which option is correct for x = 6.5?

AGraph A: straight line through (0,0) and (81.25,6.5), with (81.25,6.5) labeled

BGraph B: straight line crossing the y-axis at (0,3) and passing through (6.5,81.25), with (6.5,81.25) labeled

CGraph C: straight line through (0,0) and (6.5,81.25), with (6.5,81.25) labeled

DGraph D: straight line through (0,0) and (6.5,93.75), with (6.5,93.75) labeled

Solution & Explanation:A proportional relationship is graphed by a straight line through (0,0). Here the constant of proportionality is 12.5, so when x = 6.5, y = 12.5 × 6.5 = 81.25. The correct graph includes (6.5,81.25) and passes through the origin.

Problem 3Difficulty: Mastery

A student must select a graph for the situation: A factory uses 13.2 liters of coolant for 5.5 machines at a proportional rate. The graph shows y as a function of x. Which choice correctly shows the proportional graph and the point for x = 12?

AGraph A: straight line through (0,0) and (12,30.8), with (12,30.8) labeled

BGraph B: straight line through (0,0) and (12,28.8), with (12,28.8) labeled

CGraph C: straight line crossing the y-axis at (0,3) and passing through (12,28.8), with (12,28.8) labeled

DGraph D: straight line through (0,0) and (28.8,12), with (28.8,12) labeled

Solution & Explanation:A proportional relationship is graphed by a straight line through (0,0). Here the constant of proportionality is 2.4, so when x = 12, y = 2.4 × 12 = 28.8. The correct graph includes (12,28.8) and passes through the origin.

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Frequently Asked Questions

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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.2d (Primary standard selected for prompt fields in this prompt cell: CCSS 7.RP.A.2d. Skill statement in this prompt cell: In multiple-choice items, students select the correct graph for a proportional relationship and identify a point that correctly represents a contextual pair. Associated standards listed with this skill in this prompt cell: CCSS 7.RP.A.2d; CA 7.RP.2d; MA 7.RP.2d; NY 7.RP.2d; FL MA.7.AR.4.3; TX 7.4(A); VA 7.PFA.1. Use this prompt-provided wording as the supporting standard description for this workflow.).