Combining Like Terms with Distributive Property

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply the term outside the parentheses by each term inside the parentheses.

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

Simplify: 2x + 3(x + 3)

Back

5x + 9

Front

What does it mean to distribute in an expression?

Back

To distribute means to multiply each term inside the parentheses by the term outside the parentheses.

Front

Simplify: (b + 8)5

Back

5b + 40

Front

What is the result of -3(x + 4) + 6x?

Back

3x - 12

Front

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

Back

-2x - 28

Front

What is a like term?

Back

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

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

If you have the expression 4(x + 2) - 3(x + 5), how do you start simplifying it?

Back

First, distribute 4 to both terms in (x + 2) and -3 to both terms in (x + 5).