Combining Like Terms & 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: 2x + 3(x + 3)

Back

5x + 9

Front

Combine like terms: 4b + b - 3b

Back

2b

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Simplify: 7(7d + 1)

Back

49d + 7

Front

Simplify: 10(8 - 2x)

Back

80 - 20x

Front

Combine like terms: 3x + 2x

Back

5x

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

Simplify: 5x - 2x + 4

Back

3x + 4

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.