Factoring Expressions Worksheet
A Grade 7 math worksheet focusing on factoring linear algebraic expressions using the greatest common factor.
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Factoring Expressions
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Read each question carefully and factor the given expressions by finding the greatest common factor (GCF).
Find the greatest common factor (GCF) for each pair of numbers.
1. The GCF of 12 and 18 is .
2. The GCF of 24 and 36 is .
3. The GCF of 15x and 25 is .
4. The GCF of 8y and 12y is .
Factor each expression completely. Show your work.
5. Factor: 3x + 9
6. Factor: 10y - 15
7. Factor: 14a + 21b
8. Which of the following is the factored form of 6m - 18?
3(2m - 6)
6(m - 3)
2(3m - 9)
6m - 18
9. The expression 20p + 16q can be factored as:
2(10p + 8q)
4(5p + 4q)
8(2p + 2q)
20(p + 16q)
Determine if each statement is True or False.
10. The factored form of 7x + 7 is 7(x + 1).
True
False
11. The GCF of 9 and 27 is 3.
True
False
12. The area of a rectangular garden is represented by the expression 18w + 24. If the width of the garden is the greatest common factor of the terms, write an expression for the length of the garden.
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