Reviewing the 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: 6(x + y + 7)

Back

6x + 6y + 42

Front

Simplify: 12(x - 7y + 2z)

Back

12x - 84y + 24z

Front

Distribute: 10(x - 20)

Back

10x - 200

Front

Distribute: (b + 8)5

Back

5b + 40

Front

Distribute: 2(5n + 1)

Back

10n + 2

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, simplify: 2(a + b)

Back

2(3 + 4) = 2 * 7 = 14

Front

What is an example of using the Distributive Property with negative numbers?

Back

For example, simplify: -3(x - 4) = -3x + 12.

Front

How do you apply the Distributive Property to combine like terms?

Back

First, distribute the term outside the parentheses, then combine any like terms that result.