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Factoring Expressions Worksheet

A Grade 7 math worksheet focusing on factoring algebraic expressions, including finding common factors and factoring simple quadratics.

Grade 7 Math AlgebraFactoring
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.EE.A.1CCSS.MATH.CONTENT.7.EE.B.3

Topics

factoringalgebraexpressionsgrade 7math
7 sections · Free to use · Printable
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Factoring Expressions

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Read each question carefully and factor the algebraic expressions as instructed. Show all your work.

Find the Greatest Common Factor (GCF) for each pair of numbers:

1. 12 and 18:  

2. 25 and 40:  

3. 7x and 14y:  

4. 6ab and 9b:  

Factor out the Greatest Common Factor (GCF) from each expression:

5. 5x + 10

6. 12y - 18

7. 8a + 4b

8. Which expression is the factored form of 9x - 27?

a

3(3x - 9)

b

9(x - 3)

c

9x(1 - 3)

d

27(x - 1)

9. The expression 6a + 15b is equivalent to:

a

3(2a + 5b)

b

6(a + 15b)

c

3ab(2 + 5)

d

5(6a + 3b)

Factor the following expressions completely:

10. 4xy + 8x

11. 3m² - 9m

12. 10a²b + 15ab²

Determine if each statement is True or False.

13. The factored form of 7xy + 7y is 7y(x + 1).

T

True

F

False

14. The GCF of 16 and 24 is 4.

T

True

F

False