The Distributive Property and Combing 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: 2(3 + 4)

Back

14

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify: 4x + 3x

Back

7x

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 5x are like terms.

Front

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

Back

8x + y

Front

Factor: 2x + 8

Back

2(x + 4)

Front

What is the result of applying the Distributive Property to 3(x + 2)?

Back

3x + 6

Front

Simplify: 6(2 + 3x) - 4x

Back

12 + 18x - 4x = 12 + 14x

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.