Distributive Properties

-3 (a + 3)

• 3a - 9

• -3a + 9

• 3a + 9

• -3a - 9

6 (x + y + 7)

• 6x + 6y + 42

• 12xy + 42

• 6x + 6y + 7

• 6x6y + 42

9 (2x + 5x)

• 90x

• 18x + 45

• 18 + 45x

• 63x

Tell which property the statement illustrates.
(2 ∙ 6) + (2 ∙ 4) = 2(6 + 4)

• Distributive Property

• Associative Property of Addition

• Associative Property of Multiplication

• Commutative Property of Addition

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

• 7

• 14

• 7x

• 14x

Use the Distributive Property to simplify the expression.
6(7g + 4 − g)

• 60g

• 41g + 4

• 36g + 24

• 12g +4

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)

Simplify   2(3x + 5)

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30