Factoring Expressions Worksheet
A Grade 7 math worksheet focusing on factoring algebraic expressions, including finding common factors and factoring simple quadratics.
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Standards
Topics
Factoring Expressions
Name:
Date:
Score:
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?
3(3x - 9)
9(x - 3)
9x(1 - 3)
27(x - 1)
9. The expression 6a + 15b is equivalent to:
3(2a + 5b)
6(a + 15b)
3ab(2 + 5)
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).
True
False
14. The GCF of 16 and 24 is 4.
True
False
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