Distributive Property

Expand and simplify 3(c - 2d) - 2(2c - 3d).

• -c

• c

• -c - 12d

• -c + 12d

Expand and simplify 3(2z + 1) - 2(5 + z).

• 4z - 7

• 7z - 7

• 8z - 7

• 4z + 13

8(8 + 4x) + 6

• 64 + 38x

• 70 + 32x

• 32x + 38

• 70 + 38x

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.

-9 + 4(4x + 9)

• 32x + 16

• 27 + 16x

• 16x

• 16x + 18

-9w + 7 - 4w - 16

• -13w -9

• 5w -23

• -13w - 23

• -5w - 9

• 15

Distribute and simplify

• 13x - 8

• 13x + 8

• 19x + 26

• 13x + 26

6 (x + y + 7)

• 6x + 6y + 42

• 12xy + 42

• 6x + 6y + 7

• 6x6y + 42

7a(3b - 2c + 4)

• 10ab + 5ac + 11a
• 10ab + 5ac + 28a
• 21ab + 14ac + 28a
• 21ab - 14ac + 28a