Combining like-terms and 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

Simplify: 5(2 - 7n)

Back

10 - 35n

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Simplify the expression: 7v + 2 + 12 + 2v

Back

9v + 14

Front

What are like terms?

Back

Like terms are terms that have the same variable and exponent. For example, 3x and 5x are like terms.

Front

Simplify: 3y + 4y + 9x + 12 + 6y + 2

Back

9x + 13y + 14

Front

What is a coefficient?

Back

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

Front

Simplify: 4x + 8y + 2x + 10 + 4x

Back

10x + 8y + 10

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and combine like terms.

Front

Simplify: 3x + 2x

Back

5x