Free Printable WorksheetMathGrade 8Math Curriculum8.SP.A.1-4

8.181 Multi Step Data and Modeling Problems Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.181 Multi Step Data and Modeling Problems. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.181 Multi-Step Data and Modeling Problems - Which option correctly solves and interprets the multi-step data and modeling problem? (CCSS 8.SP.A.1-4; CCSS 8.F.B.4; CA 8.SP.A.1-4; MA 8.SP.A.1-4)

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 8.181 Multi Step Data and Modeling Problems skill assessments:

Problem 1Difficulty: Hard

A student wants to compare Account A and Account B for money in savings accounts. Account A: y = 15x + 40. Account B: (1, 70), (2, 82), (3, 94), (4, 106). Which claim is correct for x = 7?

AAccount B is ahead because it starts with the larger value.

BAccount A is ahead because its predicted value is 3 greater at x = 7.

CAccount A is ahead because equations always grow faster than tables.

DThe models must be equal at x = 7 because both are linear.

Solution & Explanation:Account A at x = 7 is 15(7) + 40 = 145. The table for Account B changes by 12 each step and starts at 58, so at x = 7 it gives 142.

Problem 2Difficulty: Hard

Using y = -20x + 300 for Reader A and the ordered pairs (1, 262), (2, 244), (3, 226), (4, 208) for Reader B, which option correctly compares the models at x = 8?

ACompare only the first ordered pair in the table, so Reader B is always better.

BUse the y-intercept from Reader A and the first x-value from Reader B; then the models are equal.

CThe models cannot be extended to x = 8 because the table stops before that value.

DSubstitute x = 8 into Reader A's equation and extend the linear pattern in Reader B's table; Reader B is better.

Solution & Explanation:Reader A at x = 8 is -20(8) + 300 = 140. The table for Reader B changes by -18 each step and starts at 280, so at x = 8 it gives 136.

Problem 3Difficulty: Hard

Cooler A and Cooler B both model pounds of ice left. Cooler A uses y = -1.8x + 22, and Cooler B has data pairs (2, 19.6), (4, 15.2), (6, 10.8), (8, 6.4). Which statement is true?

ACooler B starts at -2.2 and changes by 24 each time x increases by 1.

BCooler B starts at 24 and changes by -2.2 each time x increases by 1.

CCooler B is not linear because it is given in a table.

DCooler B starts at 21.8 because that is the first y-value in the table.

Solution & Explanation:Cooler A at x = 7 is -1.8(7) + 22 = 9.4. The table for Cooler B changes by -2.2 each step and starts at 24, so at x = 7 it gives 8.6.

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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.1-4 (Primary standard selected for prompt fields: CCSS 8.SP.A.1-4. Skill statement: Which option correctly solves and interprets the multi-step data and modeling problem? Associated standards listed with this skill: CCSS 8.SP.A.1-4; CCSS 8.F.B.4; CA 8.SP.A.1-4; MA 8.SP.A.1-4. Use this embedded wording as the best available supporting standard description for this workflow.).