combine like terms with the 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

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: -3(2c - 5)

Back

-6c + 15

Front

Simplify: 4(p - 6)

Back

4p - 24

Front

Simplify: 5(-8n + 5) - 4n

Back

-44n + 25

Front

Simplify: 5(a + 6)

Back

5a + 30

Front

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

Back

10x - 6

Front

What does it mean to 'distribute' in mathematics?

Back

To distribute means to multiply a term by each term inside parentheses.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, such as 3x and 5x.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term, such as the 4 in 4x.