Algebraic Expressions and Properties

This property tells us that when we change the order of numbers when we are adding, the answer does not change.  

• Commutative Addition

• Commutative Multiplication

• Associative Addition

• Associative Multiplication

2/3 x ____ = 1

• -2/3

• 3/2

• -3/2

• -1

0 = -6 + ____

• 6

• -6

• 1/6

• 16

Find an equivalent expression using the associative property:
7 + ( 8 + 9)

• 7 + 8 + 9

• 8 + ( 7 + 9)

• (7 + 8 ) + 9

• 7 + 10

Find an equivalent expression using the Commutative property:
4 x 3 x 5 = 

• 4 + 3 x 5

• 5 x 4 x 3

• 5 + 4 + 3

• 3x + 5

16 • 4 = 4 • 16

• Zero Property

• Commutative Property of Multiplication 

• Identity Property of Multiplication

• Distributive Property

Name the property.
2x + 22 = 2(x + 11)

• Associative Property

• Commutative Property

• Distributive Property

• Identity Property

 x + 0 = ?

• 0

• x

• 0x

• π

Choose the property: y + (-y) = 0

• Assosciative

• Commutative

• Distributive

• Identity

• Inverse

Choose the property: -19 + 19 = 0

• Assosciative

• Commutative

• Distributive

• Identity

• Inverse