Using 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

Simplify: 5(2 + 3)

Back

5(2 + 3) = 5*2 + 5*3 = 10 + 15 = 25.

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 concise as possible.

Front

Simplify: 4(x + 2) - 3(x - 1)

Back

4(x + 2) - 3(x - 1) = 4x + 8 - 3x + 3 = x + 11.

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: 7(3y + 4)

Back

7(3y + 4) = 21y + 28.

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: 2(3a + 5) + 4a

Back

2(3a + 5) + 4a = 6a + 10 + 4a = 10a + 10.

Front

What is the result of applying the Distributive Property to 9(2 + 3x)?

Back

9(2 + 3x) = 18 + 27x.

Front

Simplify: 10 - 2(3 + 4)

Back

10 - 2(3 + 4) = 10 - 2*3 - 2*4 = 10 - 6 - 8 = -4.