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

8.47 Understanding Slope as Rate of Change Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.47 Understanding Slope as Rate of Change. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.47 Understanding Slope as Rate of Change - Which statement correctly describes the slope as a rate of change for the relationship shown? (CCSS 8.EE.B.5; CCSS 8.F.A.3; 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 8.47 Understanding Slope as Rate of Change skill assessments:

Problem 1Difficulty: Hard
Mia claims that the slope of x-values -2, 2, 6, 10; y-values -13/2, 5/2, 23/2, 41/2 is 9. Which explanation shows the mistake?
AThe slope is 4/9 = 4/9
BThe student used only the change in y. The slope is 9/4 = 9/4
CThe student is correct because slope is always just the change in y, so the slope is 9
DThe slope is the first y-value, which is -13/2
Solution & Explanation:From one row to the next, y changes by 9 and x changes by 4. Slope is change in y divided by change in x, so the slope is 9/4.
Problem 2Difficulty: Hard
Mia claims that the slope of y = 12 is 12. Which explanation shows the mistake?
AThe slope is 0 because it is the coefficient of x; 12 is the y-intercept
BThe slope is 12 because the slope is always the constant term
CThe slope cannot be found from an equation in this form
DThe slope is 0 because the sign of the intercept changes the slope
Solution & Explanation:In y = mx + b, the slope is m, the coefficient of x. So the slope is 0, and the constant term 12 is the y-intercept.
Problem 3Difficulty: Hard
Mia looks at points (-1, 21/2) and (3, 9/2) and says the slope is -2/3. She divided the changes in the wrong order. Which explanation is best?
AThe student reversed the ratio. The slope is change in y divided by change in x, so the slope is -6/4 = -3/2
BThe student is correct because slope is change in x divided by change in y
CThe slope is 3/2 because the order of subtraction changes the sign only
DThe slope is the average of the x-values and y-values
Solution & Explanation:Slope is found with change in y over change in x. Here that is -6/4 = -3/2, not -2/3.

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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 statement correctly describes the slope as a rate of change for the relationship shown? Associated standards listed with this skill: CCSS 8.EE.B.5; CCSS 8.F.A.3; 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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