Combining like terms and 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

What is a like term?

Back

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

Front

Simplify: 2(4x + 7) + 3x

Back

11x + 14

Front

Simplify: 11y + 3(2y - 4)

Back

17y - 12

Front

Combine like terms: 3n + 5p + 2 + n

Back

4n + 5p + 2

Front

Combine like terms: 6b + 5 - 2b + 6

Back

4b + 11

Front

Simplify: 5x + 4x - 6 + 5x²

Back

5x² + 9x - 6

Front

What is the first step in using the Distributive Property?

Back

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

Front

If you have 3(x + 2), what is the simplified expression?

Back

3x + 6