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

7.18 Interpreting graphs of 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 7.18 Interpreting graphs of proportional relationships. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.18 Interpreting graphs of proportional relationships - In multiple-choice items, students choose the statement that correctly interprets a point or slope on a proportional graph. (CCSS 7.RP.A.2d; CA 7.RP.2d; MA 7.RP.2d; NY 7.RP.2d; 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 7.18 Interpreting graphs of proportional relationships skill assessments:

Problem 1Difficulty: Mastery
A proportional graph has rental hours on the x-axis and total fee in dollars on the y-axis. The line passes through (2.5, 43.75). Which statement is fully correct?
AA 43.75-hour rental costs 2.5 dollars, and the unit rate is 17.50 hours per dollar.
BA 2.5-hour rental costs 43.75 dollars, and the unit rate is 43.75 dollars per hour.
CA 17.50-hour rental costs 43.75 dollars, and the unit rate is 2.5 dollars per hour.
DA 2.5-hour rental costs 43.75 dollars, and the unit rate is 17.50 dollars per hour.
Solution & Explanation:The point is (hours, dollars), so it means 2.5 hours costs 43.75 dollars. The slope is 43.75 / 2.5 = 17.50 dollars per hour.
Problem 2Difficulty: Mastery
A proportional graph has gallons of fuel on the x-axis and miles driven on the y-axis. The point (6, 180) is on the line. Which statement correctly interprets the slope?
AThe car uses 30 gallons per mile.
BThe car travels 6 miles per gallon.
CThe car travels 30 miles per gallon.
DThe car uses 180 gallons per mile.
Solution & Explanation:Now gallons are on the x-axis and miles are on the y-axis. The slope is 180 / 6 = 30 miles per gallon.
Problem 3Difficulty: Mastery
A proportional graph has miles on the x-axis and gallons of fuel used on the y-axis. The point (180, 6) is on the line. Which statement correctly interprets the slope?
AThe car travels 30 miles for each gallon, so the slope is 30 gallons per mile.
BThe car uses 1/30 gallon for each mile.
CThe car uses 6 gallons for each mile.
DThe car travels 180 miles for each gallon.
Solution & Explanation:The slope is y / x = 6 / 180 = 1/30. Since y is gallons and x is miles, the slope means 1/30 gallon per mile.

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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 choose the statement that correctly interprets a point or slope on a proportional graph. 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.4.4; 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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