Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum or difference.

Front

Use the Distributive Property to solve: 5(7 + 6x)

Back

35 + 30x

Front

Use the Distributive Property to solve: 8(2x + 6)

Back

16x + 48

Front

Use the Distributive Property to solve: 2(4x + 5) + (5 + 3x)1

Back

11x + 15 or 15 + 11x

Front

Use the Distributive Property to solve: 2(4 + 3x) + (9x + 7)2

Back

22 + 24x

Front

Use the Distributive Property to solve: 5(4x + 3) + (8x + 3)5

Back

60x + 30

Front

What does it mean to distribute in mathematics?

Back

To distribute means to multiply each term inside the parentheses by the term outside the parentheses.

Front

If a = 3, b = 4, and c = 5, what is 2(a + b + c) using the Distributive Property?

Back

2(3 + 4 + 5) = 2*3 + 2*4 + 2*5 = 6 + 8 + 10 = 24.

Front

How do you apply the Distributive Property to negative numbers?

Back

You apply the Distributive Property the same way, but remember to distribute the negative sign as well. For example, -2(3 + 4) = -2*3 + -2*4 = -6 - 8 = -14.

Front

What is an example of using the Distributive Property with variables?

Back

For example, 3(x + 2) = 3x + 6.