Free Printable WorksheetMathGrade 6Math Curriculum6.64

6.64 Factor Expressions by Taking Out a Common Factor Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.64 Factor Expressions by Taking Out a Common Factor. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly factors the expression by taking out the greatest common factor? (CCSS 6.EE.A.3; CA 6.EE.A.3; MA 6.EE.A.3; NY NY-6.EE.3; TX 19 TAC §111.26(b)(7)(D); FL MA.6.AR.1.4; VA 6.PFA.3c)

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 6

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 6.64 Factor Expressions by Taking Out a Common Factor skill assessments:

Problem 1Difficulty: Mastery

Which choice correctly factors the expression by taking out the greatest common factor (GCF)? Assume the GCF is a positive integer and any common variables. Expression: 252a²n²q - 162an³q - 216b²n²q - 198n²pq

A18n²(14a²q - 9anq - 12b²q - 11pq)

B18nq(14a²n - 9an² - 12b²n - 11np)

C18n²q(14a² - 9an - 12b² + 11p)

D18n²q(14a² - 9an - 12b² - 11p)

Solution & Explanation:Find the GCF of all terms: the coefficient GCF is 18 and the common variable part is n²q. So the GCF is 18n²q. Divide each term by 18n²q to get 14a² - 9an - 12b² - 11p inside parentheses. That gives 18n²q(14a² - 9an - 12b² - 11p).

Problem 2Difficulty: Mastery

Which choice correctly factors the expression by taking out the greatest common factor (GCF)? Assume the GCF is a positive integer and any common variables. Expression: 54b²p² - 36a²b² + 396b²p + 288b³

A18b(3bp² - 2a²b + 22bp + 16b²)

B18(3b²p² - 2a²b² + 22b²p + 16b³)

C18b²(3p² - 2a² + 22p + 16b)

D18b²(3p² - 2a² - 22p + 16b)

Solution & Explanation:Find the GCF of all terms: the coefficient GCF is 18 and the common variable part is b². So the GCF is 18b². Divide each term by 18b² to get 3p² - 2a² + 22p + 16b inside parentheses. That gives 18b²(3p² - 2a² + 22p + 16b).

Problem 3Difficulty: Mastery

Which choice correctly factors the expression by taking out the greatest common factor (GCF)? Assume the GCF is a positive integer and any common variables. Expression: 216n²p + 144n²pq - 126npq + 234bnp

A18p(12n² + 8n²q - 7nq + 13bn)

B18n(12np + 8npq - 7pq + 13bp)

C18np(12n + 8nq - 7q + 13b)

D18np(12n - 8nq - 7q + 13b)

Solution & Explanation:Find the GCF of all terms: the coefficient GCF is 18 and the common variable part is np. So the GCF is 18np. Divide each term by 18np to get 12n + 8nq - 7q + 13b inside parentheses. That gives 18np(12n + 8nq - 7q + 13b).

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 6 Math students. It aligns with educational standard 6.64 (Factor Expressions by Taking Out a Common Factor).