Equivalent Expressions/Combining Like Terms/Distrib. Prop.

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, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 5x + 2x = 7x.

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 each term inside a parenthesis.

Front

Combine like terms: 5x + 9 + 2x

Back

7x + 9

Front

Combine like terms: t - 2 + 7t + 2

Back

8t

Front

Combine like terms: 9s + 15 + 37q - 6s

Back

3s + 37q + 15

Front

Are the expressions 3(2x + 3) and 6x + 9 equivalent?

Back

Yes

Front

Use the Distributive Property: 5(w + 7) - 11

Back

5w + 24

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. For example, in 4x, 4 is the coefficient.