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

7.15 Proportional equations 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 7.15 Proportional equations from graphs. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.15 Proportional equations from graphs - In multiple-choice items, students select the equation that matches a proportional graph and the correct value of k. (CCSS 7.RP.A.2c; CA 7.RP.2c; MA 7.RP.2c; NY 7.RP.2c; FL MA.7.AR.4.4; 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 7.15 Proportional equations from graphs skill assessments:

Problem 1Difficulty: Mastery
Look at the proportional relationship graph titled Market booth earnings. Which option correctly identifies y = kx and k? Remember that k compares the y-coordinate to the x-coordinate.
Ay = (9/28)x; k = 9/28
By = (28/9)x; k = 28/9
Cx = (28/9)y; k = 28/9
Dy = x + 28/9; k = 28/9
Solution & Explanation:The constant of proportionality is the y-value divided by the x-value, not the other way around. From the labeled point (27,84), k = 84/27 = 28/9, so the matching equation is y = (28/9)x.
Problem 2Difficulty: Mastery
A straight line through the origin is shown for Video editing graph. Use its labeled point to decide which equation and value of k match the graph. Remember that k compares the y-coordinate to the x-coordinate.
Ay = (9/26)x; k = 9/26
Bx = (26/9)y; k = 26/9
Cy = (26/9)x; k = 26/9
Dy = x + 26/9; k = 26/9
Solution & Explanation:The constant of proportionality is the y-value divided by the x-value, not the other way around. From the labeled point (18,52), k = 52/18 = 26/9, so the matching equation is y = (26/9)x.
Problem 3Difficulty: Mastery
On the Science project data graph, x represents trials and y represents measurements. Which choice gives the matching equation y = kx and constant k? Remember that k compares the y-coordinate to the x-coordinate.
Ay = (9/25)x; k = 9/25
Bx = (25/9)y; k = 25/9
Cy = x + 25/9; k = 25/9
Dy = (25/9)x; k = 25/9
Solution & Explanation:The constant of proportionality is the y-value divided by the x-value, not the other way around. From the labeled point (27,75), k = 75/27 = 25/9, so the matching equation is y = (25/9)x.

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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.2c (Primary standard selected for prompt fields in this prompt cell: CCSS 7.RP.A.2c. Skill statement in this prompt cell: In multiple-choice items, students select the equation that matches a proportional graph and the correct value of k. Associated standards listed with this skill in this prompt cell: CCSS 7.RP.A.2c; CA 7.RP.2c; MA 7.RP.2c; NY 7.RP.2c; FL MA.7.AR.4.4; TX 7.4(A); VA 7.PFA.1. Use this prompt-provided wording as the supporting standard description for this workflow.).

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