Free Printable WorksheetMathGrade 7Math Curriculum7.10

7.10 Proportional relationships in equations and descriptions Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.10 Proportional relationships in equations and descriptions. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.10 Proportional relationships in equations and descriptions - In multiple-choice items, students choose which equations or descriptions represent proportional relationships and which represent nonproportional (additive) relationships. (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 7.10 Proportional relationships in equations and descriptions skill assessments:

Problem 1Difficulty: Mastery

The table shows x and y values: x: 0, 4, 8, 12; y: -3, 33, 69, 105. Which statement is true?

ANot proportional because x-values are not consecutive integers.

BProportional because y increases by the same amount each time.

CProportional; the constant of proportionality is k = 9.

DNot proportional; the ratio y ÷ x is not constant (or it does not pass through (0,0)).

Solution & Explanation:In a proportional table, when x = 0, y must be 0 and y ÷ x must stay the same. Here when x = 0, y = -3, so it does not pass through (0,0). Therefore, choice D is correct.

Problem 2Difficulty: Mastery

The table shows x and y values: x: 0, 4, 8, 12; y: 0, 36, 72, 108. Which statement is true?

ANot proportional because y increases by the same amount each time.

BNot proportional because the table includes x = 0.

CProportional; the constant of proportionality is k = 9.

DProportional; the constant of proportionality is k = 7.

Solution & Explanation:Compute y ÷ x for nonzero x-values. The ratio is 9 each time, and the pair (0,0) fits, so y = 9x and the relationship is proportional. Therefore, choice C is correct.

Problem 3Difficulty: Mastery

The table shows x and y values: x: 2, 4, 6, 8; y: 7, 12, 18, 24. Which statement is true?

AProportional because y increases by the same amount each time.

BNot proportional; the ratio y ÷ x is not constant (or it does not pass through (0,0)).

CNot proportional because x-values are not consecutive integers.

DProportional; the constant of proportionality is k = 3.

Solution & Explanation:Check y ÷ x for each pair. The ratios are not all the same, so the relationship is not proportional. Therefore, choice B is correct.

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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 7.10 (Practice and review Grade 7 math skill 7.10: Proportional Relationships in Equations and Descriptions.).