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

7.9 Proportional relationships in 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 7.9 Proportional relationships in graphs. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.9 Proportional relationships in graphs - In multiple-choice items, students select whether a graph is proportional and identify the graph feature (line through the origin) that makes it proportional. (CCSS 7.RP.A.2a; CA 7.RP.2a; MA 7.RP.2a; NY 7.RP.2a; FL MA.7.AR.4.1; 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 7.9 Proportional relationships in graphs skill assessments:

Problem 1Difficulty: Mastery

Four graph descriptions are shown for four final examples. Example A: a horizontal line through (0,4); Example B: a curve that starts at the origin; Example C: a straight line crossing the y-axis at (0,-1); Example D: a straight ray through (0,0), (3,1.2), and (15,6). Which graph represents a proportional relationship, and what graph feature shows it?

AExample A, because it is a straight line through the origin.

BExample B, because it is a straight line through the origin.

CExample C, because it is a straight line through the origin.

DExample D, because it is a straight line through the origin.

Solution & Explanation:Only Example D has both required features: it is a straight line and it passes through (0,0). Graphs that curve, change slope, scatter, or miss the origin are not proportional.

Problem 2Difficulty: Mastery

Four graph descriptions are shown for four relationship models. Model A: a line with y-intercept 9; Model B: a curve through (0,0), (1,7), and (2,21); Model C: a straight ray through (0,0), (4,2.4), and (10,6); Model D: a graph with two straight parts of different steepness. Which graph represents a proportional relationship, and what graph feature shows it?

AModel A, because it is a straight line through the origin.

BModel B, because it is a straight line through the origin.

CModel C, because it is a straight line through the origin.

DModel D, because it is a straight line through the origin.

Solution & Explanation:Only Model C has both required features: it is a straight line and it passes through (0,0). Graphs that curve, change slope, scatter, or miss the origin are not proportional.

Problem 3Difficulty: Mastery

Four graph descriptions are shown for four grid graphs. Grid A: a curve through the origin; Grid B: a straight ray through (0,0), (6,42), and (9,63); Grid C: a straight line through (0,4) and (3,13); Grid D: points (0,0), (1,2), (2,5), and (3,9). Which graph represents a proportional relationship, and what graph feature shows it?

AGrid A, because it is a straight line through the origin.

BGrid B, because it is a straight line through the origin.

CGrid C, because it is a straight line through the origin.

DGrid D, because it is a straight line through the origin.

Solution & Explanation:Only Grid B has both required features: it is a straight line and it passes through (0,0). Graphs that curve, change slope, scatter, or miss the origin are not proportional.

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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.2a (Primary standard selected for prompt fields in this prompt cell: CCSS 7.RP.A.2a. Skill statement in this prompt cell: In multiple-choice items, students select whether a graph is proportional and identify the graph feature (line through the origin) that makes it proportional. Associated standards listed with this skill in this prompt cell: CCSS 7.RP.A.2a; CA 7.RP.2a; MA 7.RP.2a; NY 7.RP.2a; FL MA.7.AR.4.1; TX 7.4(A); VA 7.PFA.1. Use this prompt-provided wording as the supporting standard description for this workflow.).