Free Printable WorksheetMathGrade 7Math Curriculum7.57

7.57 Properties of operations in numerical expressions Worksheet

Download our free printable Grade 7 Math worksheet on 7.57 Properties of operations in numerical expressions. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.57 Properties of operations in numerical expressions. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.57 Properties of operations in numerical expressions - In multiple-choice items, students select the expression that is equivalent after applying a property of operations and identify which property was used. (CCSS 7.EE.A.1; CA 7.EE.1; MA 7.EE.1; NY 7.EE.1; FL MA.7.NSO.2.1; VA 7.PFA.2)

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 7

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 7.57 Properties of operations in numerical expressions skill assessments:

Problem 1Difficulty: Mastery

Factor 6 from 6x + 12y − 18. Which option gives an equivalent expression AND names the property used?

A6(x + 12y − 18); Property: Distributive Property

B3(2x + 4y − 6); Property: Distributive Property

C6(x + 2y + 3); Property: Distributive Property

D6(x + 2y − 3); Property: Distributive Property

Solution & Explanation:Each term has a factor of 6: 6x + 12y − 18 = 6·x + 6·2y + 6·(−3) = 6(x + 2y − 3). This is the Distributive Property in reverse.

Problem 2Difficulty: Mastery

A student simplified (t + 9) + (−t − 9) by first turning it into (t + (−t)) + (9 + (−9)). Which option shows the equivalent expression AND correctly names the property used to make this grouping possible?

A(t + 9) + (−t − 9) = 0; Property: Additive Identity Property

B(t + (−t)) + (9 + (−9)); Property: Commutative Property of Addition

C(t + 9) + (−t − 9) = (t − 9) + (−t + 9); Property: Distributive Property

D(t + 9)(−t − 9); Property: Commutative Property of Addition

Solution & Explanation:Reordering the addends so t is next to −t (and 9 next to −9) uses the Commutative Property of Addition. Then each pair adds to 0.

Problem 3Difficulty: Mastery

Rewrite 4(2m − n + 3) without parentheses. Which option gives an equivalent expression AND names the property used?

A8m − 4n + 12; Property: Distributive Property

B8m − n + 12; Property: Distributive Property

C2m − 4n + 3; Property: Distributive Property

D4(5m − n); Property: Distributive Property

Solution & Explanation:Distribute 4 to each term: 4·2m = 8m, 4·(−n)= −4n, and 4·3 = 12. This is the Distributive Property.

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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 7 Math students. It aligns with educational standard 7.57 (Practice and review Grade 7 math skill 7.57: Properties of Operations in Numerical Expressions.).