Distribute and Combine like terms

Front

What does it mean to distribute in mathematics?

Back

To distribute means to multiply a term by each term inside a set of parentheses. For example, in 3(2 + 4), you would multiply 3 by 2 and 3 by 4.

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

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 parentheses.

Front

Simplify: 8(5f - 7) + 3f

Back

43f - 56

Front

Simplify: 3(2x + 4) + 4(x + 5)

Back

10x + 32

Front

Simplify: 7v + 2 + 12 + 2v

Back

9v + 14

Front

Simplify: 8h + 7(2 + 4h)

Back

36h + 14

Front

Combine like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

What is the first step in simplifying an expression?

Back

The first step is to distribute any coefficients to the terms inside parentheses.