Properties of Algebra

7 + ( ) = ( ) + 9

Associative Property of Addition

9(3 – 5) = (3 – 5)9

Commutative Property of Multiplication

4(1 + 7) = 4(1) + 4(7)

Distributive Property

(19a + 11b) + 0 = 19a + 11b

Identity Property of Addition

Multiplicative Inverse or Inverse Prop. of Multiplication

(8+ -8) – 9 = 0 - 9

Additive Inverse or Inverse Prop. of Addition

(4 + 11)6 = 4(6) + 11(6)

Distributive Property

( a + b) + [-(a + b)] = 0

Additive Inverse or Inverse Prop. of Addition

11 + a + r= a r

Commutative Property of Addition

(4 + 9a)2b = 2b(4 + 9a)

Commutative Property of Multiplication

Multiplicative Inverse or Inverse Prop. Of Multiplication

67 1 = 67

Identity Property of Multiplication

(6 + -6)y = 0y

Additive Inverse or Inverse Prop. of Addition

(3 + 9) + 4 = 4 + (3 + 9)

Commutative Property of Addition

3(2x)y = 32(xy)

Associative Property of Multiplication