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 the expression: 4(x + 6) + 4

Back

4x + 28

Front

Combine like terms: 3y + 4y + 9x + 12 + 6y + 2

Back

9x + 13y + 14

Front

Simplify the expression: 3x + 2x

Back

5x

Front

Distribute and then combine like terms: 2(4x + 7) + 3x

Back

11x + 14

Front

Distribute and then combine like terms: 3(4x + 2) + 5x

Back

17x + 2

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.

Front

What is the first step in simplifying an expression using the distributive property?

Back

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

Front

Simplify the expression: 5a + 3a - 2a

Back

6a

Front

Combine like terms: 7x + 2y - 3x + 4y

Back

4x + 6y