Factoring Expressions Worksheet
This worksheet provides practice problems on factoring algebraic expressions for 8th-grade students, aligning with common core algebra standards.
Includes
Standards
Topics
Factoring Expressions
Name:
Date:
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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?
9(x + 3)
3(3x + 9)
9x(1 + 3)
9(x + 27)
8. The expression 10a - 15b can be factored as:
5(2a - 3b)
10(a - 1.5b)
5ab(2 - 3)
5(2a + 3b)
Determine if the following statements are true or false.
9. The factored form of 4x + 12 is 4(x + 3).
True
False
10. The greatest common factor of 8m and 12n is 4mn.
True
False
Factor the following expressions completely.
11. 3x²y - 6xy² + 9xy
12. 2a(a + 3) + 5(a + 3)
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