Free Printable WorksheetMathGrade 8Math Curriculum8.F.A.1

8.107 Generating Input and Output Pairs Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.107 Generating Input and Output Pairs. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.107 Generating Input and Output Pairs - Which set of ordered pairs correctly follows the function rule given? (CCSS 8.F.A.1; CA 8.F.A.1; MA 8.F.A.1)

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 8.107 Generating Input and Output Pairs skill assessments:

Problem 1Difficulty: Hard
Use this rule on each input: multiply the input by -2.25, then add 2.5. Which set of ordered pairs is correct for -2, 2, 6, and 10?
A{(-2, 2), (2, -7), (6, -16), (10, -25)}
B{(-2, -2), (2, 7), (6, 16), (10, 25)}
C{(-2, 9), (2, -4), (6, -17), (10, -30)}
D{(-2, 7), (2, -2), (6, -11), (10, -20)}
Solution & Explanation:Substitute each input into the rule. when n = -2, the output is 7; when n = 2, the output is -2; when n = 6, the output is -11; when n = 10, the output is -20. So the correct set is {(-2, 7), (2, -2), (6, -11), (10, -20)}.
Problem 2Difficulty: Hard
Let r(x) = 0.75x - 3.5. Which answer lists the correct pairs (x, r(x)) for x = -2, 2, 6, and 10?
A{(-2, 2), (2, 5), (6, 8), (10, 11)}
B{(-2, -2), (2, -5), (6, -8), (10, -11)}
C{(-2, -5), (2, -2), (6, 1), (10, 4)}
D{(-2, -7), (2, 0), (6, 7), (10, 14)}
Solution & Explanation:Compute the output for every listed input. r(-2) = -5; r(2) = -2; r(6) = 1; r(10) = 4. Therefore the matching ordered pairs are {(-2, -5), (2, -2), (6, 1), (10, 4)}.
Problem 3Difficulty: Hard
A freezer temperature drops 2.5 degrees each hour from 40 degrees. If the relationship is F(t) = -2.5t + 40, which ordered pairs correctly match t = 0, 2, 6, and 10?
A{(0, -40), (2, -45), (6, -55), (10, -65)}
B{(0, 40), (2, 35), (6, 25), (10, 15)}
C{(0, 40), (2, 45), (6, 55), (10, 65)}
D{(0, 40), (2, 33), (6, 19), (10, 5)}
Solution & Explanation:Plug each input into F(t). F(0) = 40; F(2) = 35; F(6) = 25; F(10) = 15. That gives {(0, 40), (2, 35), (6, 25), (10, 15)}.

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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.F.A.1 (Primary standard selected for prompt fields: CCSS 8.F.A.1. Skill statement: Which set of ordered pairs correctly follows the function rule given? Associated standards listed with this skill: CCSS 8.F.A.1; CA 8.F.A.1; MA 8.F.A.1. Use this embedded wording as the best available supporting standard description for this workflow.).

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