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

8.42 Writing Equations for Proportional Relationships in the Form y = kx Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.42 Writing Equations for Proportional Relationships in the Form y = kx. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.42 Writing Equations for Proportional Relationships in the Form y = kx - Which equation in the form y = kx correctly represents the proportional relationship? (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

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Below are sample questions representative of the exercises included on this worksheet and related 8.42 Writing Equations for Proportional Relationships in the Form y = kx skill assessments:

Problem 1Difficulty: Hard
A proportional relationship includes the ordered pairs (-6.4, 14.4), (4, -9). Which equation models the data?
Ay = 2.25x
By = -4.5x
Cy = -1.125x
Dy = -2.25x
Solution & Explanation:For a proportional relationship, the ratio y/x stays the same. Using (-6.4, 14.4), k = 14.4/-6.4 = -2.25, so the equation is y = -2.25x.
Problem 2Difficulty: Hard
A proportional relationship includes the origin and the point (48, 18). Which equation in the form y = kx fits the graph?
Ay = (8/3)x
By = (5/8)x
Cy = (3/8)x
Dy = (7/8)x
Solution & Explanation:A proportional relationship has the form y = kx. Using the point (48, 18), k = 18/48 = 3/8, so the equation is y = (3/8)x.
Problem 3Difficulty: Hard
A model says y equals 6.5% of x. Which proportional equation matches the situation?
Ay = 6.5x
By = 0.65x
Cy = 0.0065x
Dy = 0.065x
Solution & Explanation:Convert the percent to a decimal: 6.5% = 0.065. That means k = 0.065, so the equation is y = 0.065x.

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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 equation in the form y = kx correctly represents the proportional relationship? 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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