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 single term by two or more terms inside a set of parentheses.

Front

Simplify: 5(a + 6)

Back

5a + 30

Front

Simplify: 2(4 + 9w)

Back

8 + 18w

Front

Simplify the expression using the Distributive Property: 3(2c - 5)

Back

6c - 15

Front

Simplify the expression using the Distributive Property: 8(4b - 5)

Back

32b - 40

Front

Simplify: 6(x + 7)

Back

6x + 42

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 = 2, simplify: 4(a + 3)

Back

28

Front

What is an example of the Distributive Property in use?

Back

An example is: 7(3 + 2) = 7*3 + 7*2 = 21 + 14 = 35.

Front

How do you apply the Distributive Property to negative numbers?

Back

You apply it the same way: a(b - c) = ab - ac.