Free Printable WorksheetMathGrade 8Math Curriculum8.SP.A.3

8.158 Using a Linear Model to Make Predictions Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.158 Using a Linear Model to Make Predictions. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.158 Using a Linear Model to Make Predictions - Which predicted value is correct when using the linear model, and is it an interpolation or extrapolation? (CCSS 8.SP.A.3; CA 8.SP.A.3; MA 8.SP.A.3)

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 8.158 Using a Linear Model to Make Predictions skill assessments:

Problem 1Difficulty: Hard

A best-fit line with slope -1.9 and y-intercept 67.1 models distance left to drive on a trip. In this situation, x is hours driven and y is miles remaining. The data set contains x-values from 8 to 26. Use the model to predict y when x = 29. Is this interpolation or extrapolation?

A13.9, extrapolation

B10.1, interpolation

C12, extrapolation

D12, interpolation

Solution & Explanation:A line with slope -1.9 and y-intercept 67.1 can be written as y = -1.9x + 67.1. When x = 29, y = 12. 29 is outside the observed x-range of 8 to 26, so the prediction is extrapolation.

Problem 2Difficulty: Hard

A scientist summarizes a scatter plot about shelves stocked in a grocery aisle with the model y ≈ 1.9x + 14. The measured x-values were 8, 11, 14, 26, where x is minutes and y is shelves stocked. What does the model estimate when x = 18, and is the estimate interpolation or extrapolation?

A50.1, interpolation

B48.2, interpolation

C48.2, extrapolation

D46.3, extrapolation

Solution & Explanation:Use the estimate y ≈ 1.9x + 14. When x = 18, y = 48.2. 18 is between 8 and 26, so the prediction is interpolation.

Problem 3Difficulty: Hard

A data set about cookies left on a tray includes the points (8, 38.8), (11, 34.9), (14, 31), (24, 18). A line of best fit for the trend is y = -1.3x + 49.2, where x is students served and y is cookies remaining. What does the model predict when x = 6? Decide whether that use of the model is interpolation or extrapolation.

A41.4, interpolation

B41.4, extrapolation

C42.7, interpolation

D40.1, extrapolation

Solution & Explanation:The best-fit model is y = -1.3x + 49.2. When x = 6, y = 41.4. 6 is outside the observed x-range of 8 to 24, so the prediction is extrapolation.

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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.3 (Primary standard selected for prompt fields: CCSS 8.SP.A.3. Skill statement: Which predicted value is correct when using the linear model, and is it an interpolation or extrapolation? Associated standards listed with this skill: CCSS 8.SP.A.3; CA 8.SP.A.3; MA 8.SP.A.3. Use this embedded wording as the best available supporting standard description for this workflow.).