Algebraic Properties Commutative Associative Distributive Identity

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

• Associative

• Commutative

• Identity

• Distributive

Fill in the blank:
2(x + 7) = 2x + __

• 7

• 14

• 7x

• 14x

Simplify   2(3x + 5)

Answer explanation

To simplify the expression, distribute the 2 to both terms inside the parentheses: 2(3x) + 2(4) + x = 6x + 8 + x = 7x + 8. Therefore, the correct choice is 7x + 8.

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.

7(x + 4)