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 number by a sum or difference.

Front

Simplify: -3(b - 2)

Back

-3b + 6

Front

Simplify: 12(w + 1)

Back

12w + 12

Front

Simplify: -4(n - 4)

Back

-4n + 16

Front

Simplify: 3(a - 10)

Back

3a - 30

Front

What does it mean to distribute in math?

Back

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

Front

If a = 2, what is the value of 3(a - 10)?

Back

3(2 - 10) = 3(-8) = -24

Front

What is the result of applying the Distributive Property to 5(x + 3)?

Back

5x + 15

Front

How do you apply the Distributive Property to negative numbers?

Back

You distribute the negative sign just like a positive number. For example, -2(a - 4) = -2a + 8.

Front

What is the simplified form of 7(2 + x)?

Back

14 + 7x