Free Printable WorksheetMathGrade 8Math Curriculum8.SP.A.2

8.157 Writing an Equation for a Trend Line Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.157 Writing an Equation for a Trend Line. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.157 Writing an Equation for a Trend Line - Which equation best represents the trend line for the data shown? (CCSS 8.SP.A.2; CCSS 8.SP.A.3; CA 8.SP.A.2; MA 8.SP.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 8.157 Writing an Equation for a Trend Line skill assessments:

Problem 1Difficulty: Hard

A trend line through these points would model the data. One point is a little above or below the pattern, so focus on the overall trend. Ordered pairs: (-5, 15), (0, 7), (5, -1), (10, -9), (15, -16), (20, -23). Which equation is the best line of fit for the data?

Ay = -1.8x + 8

By = -1.8x + 9

Cy = -1.4x + 8

Dy = -1.6x + 9

Solution & Explanation:The points are clustered around a line with slope about -1.6. Using representative points such as (-5, 17) and (20, -23) gives an intercept near 9. That makes y = -1.6x + 9 the best trend-line equation.

Problem 2Difficulty: Hard

A student recorded the following values of x and y. Ordered pairs: (5, 33), (10, 45), (15, 58), (20, 71), (25, 78). One point is a little above or below the pattern, so focus on the overall trend. Which equation best represents the line of best fit?

Ay = 2.4x + 23

By = 2.2x + 25

Cy = 2.4x + 22

Dy = 2.2x + 23

Solution & Explanation:The points are clustered around a line with slope about 2.4. Using representative points such as (5, 34) and (25, 82) gives an intercept near 22. That makes y = 2.4x + 22 the best trend-line equation.

Problem 3Difficulty: Hard

The table of values can be modeled with a trend line. Ordered pairs: (0, 19), (5, 26), (10, 34), (15, 41), (20, 50), (25, 53), (30, 63). The data are not exact, so use the overall linear pattern rather than any single point. Which equation is the most reasonable linear model?

Ay = 1.6x + 18

By = 1.4x + 18

Cy = 1.6x + 16

Dy = 1.6x + 15

Solution & Explanation:The points are clustered around a line with slope about 1.6. Using representative points such as (0, 16) and (30, 64) gives an intercept near 16. That makes y = 1.6x + 16 the best trend-line equation.

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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.SP.A.2 (Primary standard selected for prompt fields: CCSS 8.SP.A.2. Skill statement: Which equation best represents the trend line for the data shown? Associated standards listed with this skill: CCSS 8.SP.A.2; CCSS 8.SP.A.3; CA 8.SP.A.2; MA 8.SP.A.2. Use this embedded wording as the best available supporting standard description for this workflow.).