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 the expression: 3(2c - 5)

Back

6c - 15

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

Which terms can be combined in the expression: 3x + 7 - 9x + 24y + 2x²?

Back

3x and -9x

Front

Simplify the expression: 7 - 5(-e + 6x - 4) + 3e - 2

Back

-30x - 2e + 25

Front

What is a like term?

Back

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

Front

Simplify the expression: -9(x - 3)

Back

-9x + 27

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 the expression: 3d - 12 + d - 17 - 15x

Back

4d - 15x - 29

Front

What is the result of combining the like terms 5x and -2x?

Back

3x