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(2h + 3c + 2)

Back

6h + 9c + 6

Front

Simplify the expression: 8(5 + w)

Back

40 + 8w

Front

Simplify the expression: 3(4 + 7y)

Back

12 + 21y

Front

Simplify the expression: 11(9 + d)

Back

99 + 11d

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 easier to understand or calculate.

Front

If a = 4, simplify: 5(a + 2)

Back

30

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.