Properties
Which property of addition is used in the following?
(3 + 9) + 5 = 3 + (9 + 5)
Associative Property
Distribute
3(2x + 6)
6x + 18
Combine like terms.
4x - 2x
2x
Solve for x:
4 + x = 7
x = 3
Solve for x:
4x + 6x = 100
x = 10
Which property of addition is used in the following?
3x + 4y = 4y + 3x
Commutative Property of Addition
Distribute.
5(10x + 5)
50x + 25
Combine like terms.
3 + 4y + 10 - 3y
y + 13
Solve for x:
5x = 10
x = 2
Solve for x:
4x + 5x + x = 40
x = 4
Give me an example of the Zero Property of Multiplication
Anything x 0 = 0
Distribute.
(4x + 8)4
16x + 32
32 + 16x
Combine like terms.
-4x + x + y
-3x + y
Solve for x.
x - 10 = 11
x = 21
Solve this equation.
5x + 4 - 2x - 2 - 2x = 12
x = 10
What is an example of Identity Property of Addition?
Answers Vary. Anything + 0 = Itself
Distribute.
7(-x + 3)
-7x + 21
Combine like terms
a + 2a + y + 3y + 2a
5a + 4y
Solve the equation:
x/12 = 13
x = 156
Solve this equation:
-4 + 5x + 6x + 4 = 99
x = 9
Give me an example of the Distributive Property.
Answers Very.
Distribute.
-7(2x - 6)
-14x + 42
Combine like terms
x + 9y - 6 - 2y
7y + x - 6
Solve for x:
x/5 = 13
x = 65
If x/2 = 4, solve 3(x - 2)
18