Distributive Property
4(x+2)
4x + 8
3x + 4 + 2x
5x + 4
Divide out a common factor to change 4 + 6 into the distributive property (a product and a sum).
2 (2 + 3)
Change 10 to a product and a sum of two numbers
Is x=2 a solution for x + 1 = 3
Yes
5(x - 12)
5x - 60
Divide out a common factor to change 12 + 15 into the distributive property (a product and a sum).
3 (4 + 5)
Change 15 to a product and a sum of two numbers
Example: 3 (1 + 4)
{2, 3, 4} when x - 2 = 1
3 is the solution
6 (5p + 10 - 2p)
18p + 60
21b - 11b - 10 - 9b
What is b - 10
Divide out a common factor to change 64 + 32 into the distributive property (a product and a sum).
8 (8 + 4)
Change 50 to a product and a sum of two numbers
Example: 5 (5 + 5)
{8, 9, 10} when 5x = 50
11 (10 + 8e - 2y - 2e)
110 + 66e -22y
Divide out a common factor to change 82 + 41 into the distributive property (a product and a sum).
41 (2 + 1)
Change 72 to a product and a sum of two numbers
Example: 9 (4 + 4)
{4, 8, 12} when 2y + y = 24
25 (4f - 2f + 10 - 6 + f - 1 + 1 + f)
100f + 100
Divide out a common factor to change 155 + 75 into the distributive property (a product and a sum).
Example: 5 (31 + 15)
Change 156 to a product and a sum of two numbers
Example: 13 (11 + 1)
{2, 4, 6, 8} when 9y + 10 - 5y - 2 - y + 12 +7y = 100
8 is the solution