Properties of Algebra

4 + a = a + 4

• Additive inverse

• Additive identity

• Commutative Add

• Associative Add

3a+18=3(a+6)

• Multiplicative Inverse

• Associative Mult

• Commutative Mult

• Distributive

3 ⋅ x = x ⋅ 3

• Distributive

• Associative Mult

• Commutative Mult

• Multiplicative Inverse

3(4⋅x) = (3⋅4)x

• Associative Mult

• Commutative Mult

• Distributive

• Associative Add

4(3⋅2) = 4(2⋅3)

• Associative Mult

• Commutative Mult

• Distributive

• Multiplicative Inverse

(2 ⋅ 9) ⋅ 5 and 2 ⋅ (9 ⋅ 5)
This is an example of which property?

• Commutative add

• Associative mult.

• Identity 

Determine whether the two expressions are equivalent. 
2⋅(3⋅7) and (2⋅3) ⋅7

• Yes

• No

-8 + 8 = 0

• Additive Inverse

• Additive Identity

• Commutative Add

• Addition Property of Zero

0 = 4b ⋅ 0

• Multiplicative Inverse

• Multiplicative Identity

• Commutative Mult

• Multiplicative Property of Zero

0 = xy + -xy

• Commutative Add

• Additive Identity

• Additive Inverse

• Multiplicative Identity