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

Simplify: 3(x + 2)

Back

3x + 6

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: 5a + 3a

Back

8a

Front

What is a like term?

Back

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

Front

Simplify: 4x + 2y - 3x + 5y

Back

x + 7y

Front

What is the first step in simplifying an expression using the Distributive Property?

Back

The first step is to distribute the multiplication across the terms inside the parentheses.

Front

Simplify: 2(3x + 4) - 5

Back

6x + 3

Front

What is the result of applying the Distributive Property to -2(4 - x)?

Back

-8 + 2x

Front

Simplify: 7 - 2(3 + x)

Back

1 - 2x