Algebra Basics: The Distributive Property – Math Antics
Algebra Basics: The Distributive Property – Math Antics

Name _______________________________________ Date ____________________
Mrs. Labuski / Mrs. Rooney Period ________ Application of Distributive Property
Objective: Students need to express a sum of two whole numbers as two factors with a common
factor as a multiple of the sum of two whole numbers with no common factor by applying the
Distributive Property.
Example: 36 + 8 as 4(9 + 2).
Step 1: Find the GCF of the numbers in the sum.
GCF of 36 and 8 is 4.
Step 2: Replace each number by a product of the GCF and its other factor.
36 + 8 = 4 9 + 4 2
Step 3: Replace the sum of the products by two factors with the GCF as a multiple of the sum of two
whole numbers.
36 + 8 = 4 9 + 4 2 = 4(9 + 2)
Write each of the following sums as two factors of their GCF and a sum:
1) 24 + 16 (GCF=_____) 2) 25 + 15 (GCF=_____) 3) 35 + 28 (GCF=_____)
________________ ________________ ________________
4) 63 + 54 (GCF=_____) 5) 80 + 30 (GCF=_____) 6) 12 + 9 (GCF=_____)
________________ ________________ ________________
7) 54 + 36 (GCF=_____) 8) 49 + 84 (GCF=_____) 9) 24 + 18 (GCF=_____)
________________ ________________ ________________
10) 20 + 44 11) 4 + 12 12) 6 + 8
________________ ________________ ________________
13) 25 + 40 14) 16 + 20 15) 60 + 72
________________ ________________ ________________
16) 42 + 63 17) 48 + 80 18) 9 + 30
________________ ________________ ________________
19) 14 + 32 20) 11 + 55
________________ ________________ ________________

Name _______________________________________ Date ____________________
Mrs. Labuski / Mrs. Rooney Period ________ Application of Distributive Property
Application of the Distributive Property
Objective: Students need to express a sum of two whole numbers as two factors with a common
factor as a multiple of the sum of two whole numbers with no common factor by applying the
Distributive Property.
Example: 36 + 8 as 4(9 + 2).
Step 1: Find the GCF of the numbers in the sum.
GCF of 36 and 8 is 4.
Step 2: Replace each number by a product of the GCF and its other factor.
36 + 8 = 4 9+4 2
Step 3: Replace the sum of the products by two factors with the GCF as a multiple of the sum of two
whole numbers.
36 + 8 = 4 9+4 2 = 4(9 + 2)
Write each of the following sums as two factors of their GCF and a sum:
1) 24 + 16 2) 25 + 15 3) 35 + 28
4(6+4) 5(5+3) 7(5+4)
4) 63 + 54 5) 80 + 30 6) 12 + 9
9(7+6) 10(8+3) 3(4+3)
7) 54 + 36 8) 49 + 84 9) 24 + 18
18(3+2) 7(7+12) 6(4+3)
10) 20 + 44 11) 4 + 12 12) 6 + 8
4(5+11) 4(1+3) 2(3+4)
13) 25 + 40 14) 16 + 20 15) 60 + 72
5(5+8) 4(4+5) 12(5+6)
16) 42 + 63 17) 48 + 80 18) 9 + 30
6(7+9) 16(3+5) 3(3+10)
19) 14 + 32 20) 11 + 55
2(7+16) 11(1+5)

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