Free Printable WorksheetMathGrade 6Math Curriculum6.36

6.36 Use the Distributive Property to Rewrite a Sum with a Common Factor Worksheet

Download our free printable Grade 6 Math worksheet on 6.36 Use the Distributive Property to Rewrite a Sum with a Common Factor. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Download PDF Download DOCX

Prefer interactive practice with instant grading and explanations?Practice Use the Distributive Property to Rewrite a Sum with a Common Factor Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.36 Use the Distributive Property to Rewrite a Sum with a Common Factor. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly rewrites the sum using the distributive property by factoring out the common factor? (CCSS 6.NS.B.4; CA 6.NS.B.4; MA 6.NS.B.4; NY NY-6.NS.4; TX 19 TAC §111.26(b)(7)(D); FL MA.6.NSO.3.2)

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 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 6.36 Use the Distributive Property to Rewrite a Sum with a Common Factor skill assessments:

Problem 1Difficulty: Mastery

Rewrite by factoring out the GCF (positive). Be careful with signs and variables. Expression: 70nq - 112nq + 70nq - 84nqx.

A2nq(35 - 56 + 35 - 42x)

Bnq(70 - 112 + 70 - 84x)

C14nq(5 - 8 + 5 - 6x)

D14nq(6 - 8 + 5 - 6x)

Solution & Explanation:Find the GCF of all terms. The GCF is 14nq. Divide each term by 14nq to get the inside of the parentheses, then write 14nq(...) so distributing returns 70nq - 112nq + 70nq - 84nqx.

Problem 2Difficulty: Mastery

Find the greatest common factor (positive) of all terms and factor it out. Which choice is correct? Expression: -46qt + 253mqt - 184mqt + 46mqt.

A23qt(-2 + 12m - 8m + 2m)

B23qt(-2 + 11m - 8m + 2m)

C23(-2qt + 11mqt - 8mqt + 2mqt)

Dqt(-46 + 253m - 184m + 46m)

Solution & Explanation:Find the GCF of all terms. The GCF is 23qt. Divide each term by 23qt to get the inside of the parentheses, then write 23qt(...) so distributing returns -46qt + 253mqt - 184mqt + 46mqt.

Problem 3Difficulty: Mastery

Find the greatest common factor (positive) of all terms and factor it out. Which choice is correct? Expression: 55ry - 121ry - 110.

A11(5ry - 11ry - 10)

B11(6ry - 11ry - 10)

C11(55ry - 121ry - 110)

D11r(5ry - 11ry - 10)

Solution & Explanation:Find the GCF of all terms. The GCF is 11. Divide each term by 11 to get the inside of the parentheses, then write 11(...) so distributing returns 55ry - 121ry - 110.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 6.36 Use the Distributive Property to Rewrite a Sum with a Common Factor worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this 6.36 Use the Distributive Property to Rewrite a Sum with a Common Factor worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice 6.36 Use the Distributive Property to Rewrite a Sum with a Common Factor online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 6.36 Use the Distributive Property to Rewrite a Sum with a Common Factor interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

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 6.36 (Use the Distributive Property to Rewrite a Sum with a Common Factor).