Distributive Property Basics

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

Apply the Distributive Property: -2(3x - 1)

Back

-6x + 2

Front

Apply the Distributive Property: -7(-2f + 3)

Back

14f - 21

Front

Apply the Distributive Property: 2(1 + 10v)

Back

2 + 20v

Front

Apply the Distributive Property: 4(2x + 1)

Back

8x + 4

Front

Apply the Distributive Property: 8(x + y)

Back

8x + 8y

Front

What does it mean to 'distribute' in mathematics?

Back

To 'distribute' means to multiply each term inside the parentheses by the term outside the parentheses.

Front

If a = 3, b = 4, and c = 5, what is 2(a + b + c)?

Back

2(3 + 4 + 5) = 2(12) = 24.

Front

What is the result of 5(2x + 3y)?

Back

10x + 15y.

Front

How do you simplify 3(4 + 2x)?

Back

12 + 6x.