Distribute Properties

Identify the property used below.

-2(x - 4) = -2x + 8

• Commutative Property

• Associative Property

• Distributive Property

• Identity Property

To solve the equation below, Kristen is going to distribute. What will the equation look like after she has distributed?

-3(2x - 5) = 11

• -6x - 15 = 11

• 6x + 15 = 11

• -6x + 15 = 11

• 6x - 15 = 11

What do you do first? -(x + 4) = 6x + 2

• Distribute the -1

• Add -1

• Subtract 4

• Divide 4

-12(x - 1) = -3(x - 1)

• 10

• 1

• 14

• 23

Using distributive property, which choice matches 5 x 14?

• (5 x 10) - (5 x 4)

• (5 x 10) + (10 x 4)

• (14 x 5)

• (5 x 10) + (5 x 4)

Which property does this represent?
(9 x 2) + (9 x 10)
 =
9 (2 + 10)

• identity

• associative

• commutative

• distributive

Which property does this represent?
(4 x 9) + (4 x 3)
=
 4 (9 + 3)

• identity

• associative

• commutative

• distributive

What does it mean to distribute?

• To multiply the numbers inside the parentheses by the number on the outside.

• To add all of the numbers together.

• To do the order of operations.

2(4X-7)

• 8x-14

• 8x-7

• 6x+7

• 8x+14

2(4 + 9w) 

• 8+9w

• 2+9

• 8+18w

• 2+9w