Distributive Property

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.

What does the Distributive Property mean?

• states that for any numbers a, b, and c, the equation a(b + c) = ab + ac is true.

• states that for any numbers a, b, and c, the equation a(b + c) = ab x ac is true.

• states that for any numbers a, b, and c, the equation a(b + c) = a + b + a + c is true.

• states that for any numbers a, b, and c, the equation a(b + c) = a - b + ac is true.

5(a + 6)

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

6 (x + y + 7)

• 6x + 6y + 42

• 12xy + 42

• 6x + 6y + 7

• 6x6y + 42

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

• 8x + 12
• 8x + 3
• 8x - 12
• 20x

Which of the following is equivalent to 2(c - 8)?

• 2c - 16
• 2c + 16
• 2c - 8
• c - 16

• 6x+6
• 5x+18
• 6x+12
• 6x+18

-3(2c - 5)

• -6c - 15
• -6c + 15
• 6c + 15
• 6c - 15

Simplify the expression by using the Distributive Property:

-4(k - 7)

• -4k + 28

• -4k - 28

• 4k + 28

• 4k - 28

Simplify the expression by using the Distributive Property:

-2(3m + 9)

• -6m + 7

• -6m - 7

• -6m + 18

• -6m - 18