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

Combine the like terms: 3x + 5x

Back

8x

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, while 2x and 3y are not.

Front

Simplify: -4(7x + 1)

Back

-28x - 4

Front

Simplify: -10(p - 8) - 1

Back

-10p + 79

Front

Simplify: 9n + 10(1 - n)

Back

-n + 10

Front

Combine the like terms: -6r - 3r

Back

-9r

Front

Simplify: 7(-9n - 2)

Back

-63n - 14

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

Combine the like terms: 4a + 2b - 3a + 5b

Back

a + 7b