Algebraic Properties Commutative Identity Distributive Associative

Identify the property shown.

• Commutative Property of Multiplication

• Commutative Property of Addition

• Associative Property of Multiplication

• Multiplication Property of 5

Identify the property shown.

• Associative Property of Addition

• Commutative Property of Addition

• Distributive Property

• Multiplication Property of 1

Identify the property shown.

• Commutative Property of Addition

• Associative Property of Addition

• Distributive Property

• Addition Property of 0

Identify the property shown.

• Associative Property of Multiplication

• Commutative Property of Multiplication

• Distributive Property

• Multiplication Property of 1

The ​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

The Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

Simplify   2(3x + 5)

• associative

• commutative

• distributive

• inverse

Answer explanation

To simplify, distribute 3 to both terms inside the parentheses: 3x - 12. Then, combine like terms with the 2x term to get 5x - 12.