Distributive Property Expanding

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.

The distributive property allows you to multiply a sum by multiplying each term separately and then adding the products together.

• True

• False

True or False?: The below example applied the distributive process correctly:

2(x+y) = 2x+y

• True

• False

2(x + 3)

• 2x+3

• 6+3x

• 2x+6

• 2x-6

Apply the distributive property to this expression:

2(a+b)

(Do not use spaces in your answer.)

6 (x + y + 7)

• 6x + 6y + 42

• 12xy + 42

• 6x + 6y + 7

• 6x6y + 42

Simplify:

−3(a + 5)

• -3a+15

• 3a+15

• 3a-15

• -3a-15

Which of the following is equivalent to 4(2x + 3)

• 8x + 12
• 8x + 3
• 8x - 12
• 20x

2(3w - 5)

• 6w - 10

• 6w-5

• 5w - 3

• 6w - 25

Which of these statements are equivalent to 8x + 24

• 8(x + 24)

• 8(x + 3)

• 4(2x + 3)

• 4(2x + 6)