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

Simplify: 2(4x - 7)

Back

8x - 14

Front

Simplify: 5(a + 6)

Back

5a + 30

Front

Which of the following expressions is equivalent to: 3(2c - 5)?

Back

6c - 15

Front

Which of the following expressions is equivalent to: (b + 8)5?

Back

5b + 40

Front

Distribute: 10(x - 20)

Back

10x - 200

Front

What does it mean to 'distribute' in mathematics?

Back

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

Front

If you have 4(3 + 2), what is the simplified expression?

Back

20

Front

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

Back

For example, 5(10 - 3) = 5*10 - 5*3 = 50 - 15 = 35.

Front

How do you apply the Distributive Property to negative numbers?

Back

For example, -2(3 - 4) = -2*3 + -2*(-4) = -6 + 8 = 2.