Distributive Property with 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

Simplify: -3(2x - 5)

Back

-6x + 15

Front

Simplify: 4(-x - 6)

Back

-4x - 24

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: 8(5f - 7) + 3f

Back

43f - 56

Front

Simplify: 9x + 5(x + 3)

Back

14x + 15

Front

Simplify: 3(3x + 1)

Back

9x + 3

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, such as 2x and 5x.

Front

What is an example of the Distributive Property?

Back

For example, 2(3 + 4) = 2*3 + 2*4 = 6 + 8 = 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.