Free Printable WorksheetMathGrade 7Math Curriculum7.74

7.74 Factoring linear expressions Worksheet

Download our free printable Grade 7 Math worksheet on 7.74 Factoring linear 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 7.74 Factoring linear expressions. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.74 Factoring linear expressions - In multiple-choice items, students choose the factored form of a linear expression and identify the common factor used. (CCSS 7.EE.A.1; FL MA.7.AR.1.1; 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 7.74 Factoring linear expressions skill assessments:

Problem 1Difficulty: Mastery

Rewrite -247a + 114n - 95 by factoring out a negative GCF so the leading term in parentheses is positive. Choose the correct form.

A19(-13a + 6n - 5)

B-19(13a + 114n - 95)

C-19(13a - 6n + 5)

D-19(-13a - 6n + 5)

Solution & Explanation:Find the greatest common factor of the coefficients in -247a + 114n - 95. Factor out -19, then divide each term by -19 to get the expression inside parentheses. That gives -19(13a - 6n + 5).

Problem 2Difficulty: Mastery

Factor the expression -144n + 144n + 81n + 27n + 57 + 27 using the greatest common factor (a positive number). Which option is correct?

A4(27n + 21)

B12(9n + 7)

C-12(-9n - 7)

D12(9n + 84)

Solution & Explanation:Find the greatest common factor of the coefficients in -144n + 144n + 81n + 27n + 57 + 27. Factor out 12, then divide each term by 12 to get the expression inside parentheses. That gives 12(9n + 7).

Problem 3Difficulty: Mastery

A student wants to factor 15x - 12x + 12x + 6x + 27 + 6. Which option uses the positive greatest common factor?

A-3(-7x - 11)

B3(7x + 33)

C3(-7x + 11)

D3(7x + 11)

Solution & Explanation:Find the greatest common factor of the coefficients in 15x - 12x + 12x + 6x + 27 + 6. Factor out 3, then divide each term by 3 to get the expression inside parentheses. That gives 3(7x + 11).

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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 7.74 (Practice and review Grade 7 math skill 7.74: Factoring Linear Expressions.).