Distribute and Combine Like Terms

Front

What does it mean to distribute in algebra?

Back

To distribute means to multiply a term by each term inside a set of parentheses. For example, in 2(n - 10), you would multiply 2 by both n and -10.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3n and 5n are like terms, while 3n and 4n^2 are not.

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract the coefficients of the terms that are alike. For example, 3n + 5n = 8n.

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 in a sum or difference.

Front

Solve: 2(n - 10) - 10n

Back

-8n - 20

Front

Solve: 8(3 + 10x) - 10

Back

14 + 80x

Front

Solve: 4(1 + 6r) - 1

Back

3 + 24r

Front

Solve: -9(4k + 4) - 2k

Back

-38k - 36

Front

Solve: -9(-2 + 8k) - 8k

Back

18 - 80k

Front

What is the first step in distributing?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.