Free Printable WorksheetMathGrade 8Math Curriculum7.EE.A.1

8.86 Simplifying Expressions with Rational Numbers Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.86 Simplifying Expressions with Rational Numbers. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.86 Simplifying Expressions with Rational Numbers - Which simplified result is correct for the expression with rational numbers? (CCSS 7.EE.A.1; CA 7.EE.A.1; MA 7.EE.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 8.86 Simplifying Expressions with Rational Numbers skill assessments:

Problem 1Difficulty: Hard
Simplify the expression fully: 2(-1.5p + q - 2) - 1.5(p + 1.5q + 1.5) + p + 1.5q + 2.5
A-3.5p + 1.25q + 0.75
B-3.5p + 5.75q - 3.75
C-3.5p + 1.25q - 3.75
D-0.5p + 1.25q - 3.75
Solution & Explanation:Distribute through both parentheses, then combine like terms for p, q, and the constant term. The simplified expression is -3.5p + 1.25q - 3.75.
Problem 2Difficulty: Hard
Rewrite 2(-m - (1/2)n + 3/2) - (1/2)(2m + (3/2)n - 1) - (m - n) in simplest form.
A-4m - (3/4)n + 5/2
B-4m - (3/4)n + 7/2
C-4m + (3/4)n + 7/2
D-2m - (3/4)n + 7/2
Solution & Explanation:Distribute through all three groups, remember to change signs in the subtracted group, and then combine like terms. The simplified expression is -4m - (3/4)n + 7/2.
Problem 3Difficulty: Hard
Choose the fully simplified expression for -((3/4)(p - 5/2) - (1/2)(p + 1/2)) + (5/2)p.
A(9/4)p + 17/8
B(11/4)p + 17/8
C(11/4)p - 17/8
D(9/4)p - 17/8
Solution & Explanation:Simplify inside the outer parentheses first. Then apply the negative sign to every term in that result and combine like terms. The simplified expression is (9/4)p + 17/8.

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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 7.EE.A.1 (Primary standard selected for prompt fields: CCSS 7.EE.A.1. Skill statement: Which simplified result is correct for the expression with rational numbers? Associated standards listed with this skill: CCSS 7.EE.A.1; CA 7.EE.A.1; MA 7.EE.A.1. Use this embedded wording as the best available supporting standard description for this workflow.).

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