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: 3(x + 4)

Back

3x + 12

Front

Identify the error in the expression: 4(x + 5) = 4x + 5

Back

The error is that they did not multiply 4 by 5.

Front

Simplify the expression: 5(2y + 3)

Back

10y + 15

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as simple as possible.

Front

Simplify the expression: 6(3x - 2)

Back

18x - 12

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

Simplify the expression: 7(2x + 1) - 3(2x - 4)

Back

14x + 7 - 6x + 12 = 8x + 19

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

Simplify the expression: 9(2y + 5) - 4(3y + 2)

Back

18y + 45 - 12y - 8 = 6y + 37