Understanding Distributive Property and Combining 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

Distribute and simplify: 2(3x + 4)

Back

6x + 8

Front

Which of the following is an example of the distributive property? A) 4 + 5 = 9 B) 4(x + 2) = 4x + 8 C) x + x = 2x D) 2x + 3y

Back

B) 4(x + 2) = 4x + 8

Front

Using the distributive property, simplify: 6(a + b)

Back

6a + 6b

Front

The distributive property can be used to simplify the expression 3(x + 4) to _____________.

Back

3x + 12

Front

Simplify: 7a - 2a + 4a

Back

9a

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

Combine the like terms: 5x + 3x

Back

8x

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

Distribute and simplify: 5(2y + 3)

Back

10y + 15