Distributive Property and Combining Like Terms

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

Translate the expression: one less than twice a number.

Back

2n - 1

Front

Simplify using the Distributive Property: -5(3x - 7)

Back

-15x + 35

Front

Simplify using the Distributive Property: 6(3y - 2)

Back

18y - 12

Front

Translate the expression: the difference between three times a number and 28.

Back

3n - 28

Front

Combine like terms: (6a - 11) + (-8a + 13)

Back

-2a + 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 using the Distributive Property?

Back

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

Front

Translate the expression: five more than a number.

Back

n + 5

Front

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

Back

10 + 6x