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: -9(2g - 3)

Back

-18g + 27

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify: 0.4(10x + 20)

Back

4x + 8

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, such as 3x and 5x.

Front

Simplify: 3(2c - 5)

Back

6c - 15

Front

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

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

Simplify: -2y + 8 + 7y + 5

Back

5y + 13

Front

What is the result of combining the like terms 5a and -3a?

Back

2a

Front

Simplify: 5a + 2b - 3a + 4

Back

2a + 2b + 4