Free Printable WorksheetMathGrade 7Math Curriculum7.19

7.19 Comparing proportional relationships Worksheet

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Q: What grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.19 (Practice and review Grade 7 math skill 7.19: Comparing Proportional Relationships.).

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.19 Comparing proportional relationships. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.19 Comparing proportional relationships - In multiple-choice items, students select which relationship has the greater unit rate or constant of proportionality and choose the evidence that supports the comparison. (CCSS 7.RP.A.2; CA 7.RP.2; MA 7.RP.2; NY 7.RP.2; FL MA.7.AR.4.4; TX 7.4(D); 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 7.19 Comparing proportional relationships skill assessments:

Problem 1Difficulty: Mastery

Relationship A: 48.6 meters in 12 seconds at a constant rate. Relationship B: y = 17.82x, where x is hours and y is kilometers. Which relationship has the greater unit rate (speed in meters per second)? Choose the best evidence.

ARelationship A has the greater unit rate because 0.2 meters per second is less than 0.25 meters per second.

BRelationship B has the greater unit rate because A: 48.6 ÷ 12 = 4.05 m/s and B: 17.82 km/h = 4.95 m/s, so 4.95 > 4.05.

CRelationship A has the greater unit rate because A: 48.6 ÷ 12 = 4.05 m/s and B: 17.82 km/h = 4.95 m/s, so 4.05 > 4.95.

DRelationship A has the greater unit rate because A is about 3.05 meters per second and B is about 3.95 meters per second.

Solution & Explanation:A: 48.6 meters ÷ 12 seconds = 4.05 m/s. B: convert 17.82 km/h to m/s by dividing by 3.6, giving 4.95 m/s. Compare: 4.05 < 4.95.

Problem 2Difficulty: Mastery

Relationship A: The graph passes through (0, 0) and (9.5, 8.08), where x is minutes and y is dollars. Relationship B: Table of (x, y) in (minutes, dollars): (3, 3.3), (6, 6.6), (9, 9.9). Which relationship has the greater unit rate (dollars per minute)? Choose the best evidence.

ARelationship A has the greater unit rate because A: 8.08 divided by 9.5 = 0.85 dollars per minute and B: 3.3 divided by 3 = 1.1 dollars per minute, so 0.85 > 1.1.

BRelationship A has the greater unit rate because A is about 0.01 dollars per minute and B is about 0.1 dollars per minute.

CRelationship A has the greater unit rate because 0.91 dollars per minute is less than 1.18 dollars per minute.

DRelationship B has the greater unit rate because A: 8.08 divided by 9.5 = 0.85 dollars per minute and B: 3.3 divided by 3 = 1.1 dollars per minute, so 1.1 > 0.85.

Solution & Explanation:Find k = y divided by x. For A, 8.08 ÷ 9.5 = 0.85. For B, 3.3 ÷ 3 = 1.1. The larger k gives the greater unit rate.

Problem 3Difficulty: Mastery

Relationship A: 39 meters in 12 seconds at a constant rate. Relationship B: y = 17.82x, where x is hours and y is kilometers. Which relationship has the greater unit rate (speed in meters per second)? Choose the best evidence.

ARelationship B has the greater unit rate because A: 39 ÷ 12 = 3.25 m/s and B: 17.82 km/h = 4.95 m/s, so 4.95 > 3.25.

BRelationship A has the greater unit rate because A is about 2.25 meters per second and B is about 3.95 meters per second.

CRelationship A has the greater unit rate because 0.2 meters per second is less than 0.31 meter per second.

DRelationship A has the greater unit rate because A: 39 ÷ 12 = 3.25 m/s and B: 17.82 km/h = 4.95 m/s, so 3.25 > 4.95.

Solution & Explanation:A: 39 meters ÷ 12 seconds = 3.25 m/s. B: convert 17.82 km/h to m/s by dividing by 3.6, giving 4.95 m/s. Compare: 3.25 < 4.95.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 7.19 Comparing proportional relationships worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this 7.19 Comparing proportional relationships worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice 7.19 Comparing proportional relationships online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 7.19 Comparing proportional relationships interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

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 7.19 (Practice and review Grade 7 math skill 7.19: Comparing Proportional Relationships.).