Distributive Property and Combining Like Terms

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

Combine like terms: 3x + 4x

Back

7x

Front

Combine like terms: 5y - 2y + 3

Back

3y + 3

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 5x are like terms, but 2x and 3y are not.

Front

Simplify: 4(2 + 3)

Back

20

Front

Combine like terms: 7a + 2b - 3a + 5b

Back

4a + 7b

Front

What is the first step in using the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

Simplify: 2(3x + 4) - 5

Back

6x + 3

Front

Combine like terms: 10 - 3 + 2

Back

9

Front

What is the result of applying the Distributive Property to 5(2x + 3)?

Back

10x + 15