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: 6(x - 3 + 5y)

Back

6x - 18 + 30y

Front

Simplify the expression: 5(p - 6)

Back

5p - 30

Front

Simplify the expression: 11(9 + d)

Back

99 + 11d

Front

Simplify the expression: 8(4b - 5)

Back

32b - 40

Front

Simplify the expression: 12(x - 7y + 2z)

Back

12x - 84y + 24z

Front

What does it mean to simplify an expression?

Back

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

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

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 a = 2 and b = 3, simplify: 4(a + b)

Back

20