Free Printable WorksheetMathGrade 8Math Curriculum8.EE.B.5

8.41 Finding the Constant of Proportionality Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.41 Finding the Constant of Proportionality. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.41 Finding the Constant of Proportionality - Which value is the constant of proportionality (unit rate) for the relationship shown? (CCSS 7.RP.A.2; CCSS 8.EE.B.5; CA 7.RP.A.2; MA 7.RP.A.2)

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 8

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 8.41 Finding the Constant of Proportionality skill assessments:

Problem 1Difficulty: Hard
The equation 1.8y = -0.54x describes a proportional relationship between x and y. What is the constant of proportionality when the equation is written in the form y = kx? Give your answer as a decimal.
Solution & Explanation:Divide both sides by 1.8 to solve for y: y = -0.3x. So the constant of proportionality is -0.3.
Problem 2Difficulty: Hard
Granola costs $4.95 for 0.45 kilogram. The relationship is proportional, with x = kilograms of granola and y = cost in dollars. Determine the unit rate k.
Solution & Explanation:The constant of proportionality is the unit rate y/x. Using 4.95/0.45 = 11, so k = 11.
Problem 3Difficulty: Hard
A proportional line passes through the origin and (2.2, -7.7). What number multiplies x to give y? Give your answer as a decimal.
Solution & Explanation:A proportional graph goes through the origin, so k equals y/x for any point on the line. Using (2.2, -7.7), k = -7.7/2.2 = -3.5.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.EE.B.5 (Primary standard selected for prompt fields: CCSS 8.EE.B.5. Skill statement: Which value is the constant of proportionality (unit rate) for the relationship shown? Associated standards listed with this skill: CCSS 7.RP.A.2; CCSS 8.EE.B.5; CA 7.RP.A.2; MA 7.RP.A.2. Use this embedded wording as the best available supporting standard description for this workflow.).

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