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

8.40 Identifying Proportional Relationships from Tables, Graphs, and Equations Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.40 Identifying Proportional Relationships from Tables, Graphs, and Equations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.40 Identifying Proportional Relationships from Tables, Graphs, and Equations - Which representation shows a proportional relationship and why (constant of proportionality, line through the origin, or y = kx)? (CCSS 8.EE.B.5; CCSS 7.RP.A.2; CA 8.EE.B.5; MA 8.EE.B.5)

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 8.40 Identifying Proportional Relationships from Tables, Graphs, and Equations skill assessments:

Problem 1Difficulty: Hard
Representation A is the equation y = 0.625x. Representation B is a graph through (0, 0) and (8, 5). Representation C is the table x: 4, 8, 12 and y: 2.5, 5, 7.4. Which statement is correct?
AOnly A is proportional.
BA and B are proportional, but C is not.
CB and C are proportional, but A is not.
DAll three are proportional.
Solution & Explanation:A is proportional because it is y = kx with k = 0.625. B is also proportional because the graph through (0, 0) and (8, 5) has the same constant of proportionality, 5/8 = 0.625. C is not proportional because 7.4/12 is not 0.625.
Problem 2Difficulty: Hard
Representation A is the table x: 0, 3, 6 and y: 4, 10, 16. Representation B is the equation y = 2x + 4. Which statement is correct?
AA is proportional, but B is not.
BB is proportional, but A is not.
CBoth are proportional.
DNeither is proportional, and both fail because the relationship does not start at the origin.
Solution & Explanation:A includes the point (0, 4), so it does not pass the origin test. B has a nonzero intercept of 4, so it is not in the form y = kx. Neither is proportional.
Problem 3Difficulty: Hard
Which piece of evidence is enough to prove that a relationship is proportional?
AThe graph is a straight line.
BThe table has equal differences in y for equal differences in x.
CThe equation can be written exactly as y = kx.
DThe ordered pairs use whole numbers only.
Solution & Explanation:A relationship is proportional when it can be written in the form y = kx. A straight line or equal differences alone are not enough unless the line also passes through the origin.

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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 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 representation shows a proportional relationship and why (constant of proportionality, line through the origin, or y = kx)? Associated standards listed with this skill: CCSS 8.EE.B.5; CCSS 7.RP.A.2; CA 8.EE.B.5; MA 8.EE.B.5. Use this embedded wording as the best available supporting standard description for this workflow.).

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