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: 6(x + y + 7)

Back

6x + 6y + 42

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 the expression: 2x + 1 + 7x

Back

9x + 1

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 the expression: -3(a + 3)

Back

-3a - 9

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

Back

Front

What is the result of combining the like terms 4x and 3x?

Back

7x

Front

What is the result of combining the like terms 5y^2 and 2y^2?

Back

7y^2