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Factoring Expressions Worksheet

This worksheet provides practice problems on factoring algebraic expressions for 8th-grade students, aligning with common core algebra standards.

Grade 8 Math AlgebraExpressionsEquivalent ExpressionsFactoring Expressions
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.B.7

Topics

FactoringAlgebraExpressionsGrade 8
7 sections · Free to use · Printable
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Factoring Expressions

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Read each question carefully and factor the given expressions. Show all your work.

Find the greatest common factor (GCF) for each pair of terms.

1. 12x and 18: GCF =  

2. 7y² and 21y: GCF =  

3. 15ab and 25a: GCF =  

Factor out the greatest common monomial from each expression.

4. 5x + 10

5. 6y - 24

6. 14a² + 7a

7. Which of the following is the correct factored form of 9x + 27?

a

9(x + 3)

b

3(3x + 9)

c

9x(1 + 3)

d

9(x + 27)

8. The expression 10a - 15b can be factored as:

a

5(2a - 3b)

b

10(a - 1.5b)

c

5ab(2 - 3)

d

5(2a + 3b)

Determine if the following statements are true or false.

9. The factored form of 4x + 12 is 4(x + 3).

T

True

F

False

10. The greatest common factor of 8m and 12n is 4mn.

T

True

F

False

Factor the following expressions completely.

11. 3x²y - 6xy² + 9xy

12. 2a(a + 3) + 5(a + 3)