DISTRIBUTIVE PROPERTY (8-30-23)

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.

• 15

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

Expand and simplify 4(7x + 3).

• 28x + 12

• 28x + 3

• 47x + 12

• 47x + 3

-3(2c - 5)

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

5x(2x + 3)

• 10x² + 15x
• 7x + 15x
• 7x² + 8x
• 25x²

8(8 + 4x) + 6

• 64 + 38x

• 70 + 32x

• 32x + 38

• 70 + 38x

-9 + 4(4x + 9)

• 32x + 16

• 27 + 16x

• 16x

• 16x + 18