Combining Like Terms and 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

Distribute: 5(3x - 8)

Back

15x - 40

Front

Distribute: 4(3x - 5)

Back

12x - 20

Front

Distribute: 2(x + 7)

Back

2x + 14

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Combine Like Terms: 8c + 3 + 2c

Back

3 + 10c

Front

Distribute and then Combine Like Terms: 5(2x - 3) + 12

Back

10x - 3

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

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

Distribute: 3(2x + 4)

Back

6x + 12