Free Printable WorksheetMathGrade 8Math Curriculum6.EE.A.1

8.21 Evaluating Numerical 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 8.21 Evaluating Numerical Expressions with Rational Numbers. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.21 Evaluating Numerical Expressions with Rational Numbers - Which value is correct after evaluating the expression using the order of operations? (CCSS 6.EE.A.1; CCSS 7.NS.A.3; CA 6.EE.A.1; MA 6.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

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Below are sample questions representative of the exercises included on this worksheet and related 8.21 Evaluating Numerical Expressions with Rational Numbers skill assessments:

Problem 1Difficulty: Hard
A temperature change can be modeled by ((((-4) - (-7/4)) ÷ (1/2)) + (1/2)) × 3. Use the order of operations to find the result as a fraction in simplest form or an integer.
Solution & Explanation:Start with the parentheses: (-4) - (-7/4) = -9/4. Divide by (1/2) to get -9/2. Add (1/2) to get -4. Then multiply by 3 to get -12.
Problem 2Difficulty: Hard
Find the value of this expression written in words: multiply (-6) by the sum of the quotient of the difference of (-3/4) and (-3) and 2 and (-7/3). Write your answer as a fraction in simplest form or an integer.
Solution & Explanation:Start with the parentheses: (-3/4) - (-3) = 9/4. Divide by 2 to get 9/8. Add (-7/3) to get -29/24. Then multiply by (-6) to get 29/4.
Problem 3Difficulty: Hard
Use the order of operations to evaluate ((((-1/2) - (9/8)) ÷ (-2/3)) + (3/2)) × (-8/3). Write your answer as a fraction in simplest form or an integer.
Solution & Explanation:Start with the parentheses: (-1/2) - (9/8) = -13/8. Divide by (-2/3) to get 39/16. Add (3/2) to get 63/16. Then multiply by (-8/3) to get -21/2.

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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 6.EE.A.1 (Primary standard selected for prompt fields: CCSS 6.EE.A.1. Skill statement: Which value is correct after evaluating the expression using the order of operations? Associated standards listed with this skill: CCSS 6.EE.A.1; CCSS 7.NS.A.3; CA 6.EE.A.1; MA 6.EE.A.1. Use this embedded wording as the best available supporting standard description for this workflow.).

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