Distributive Property Simplification

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 using the Distributive Property: 2(3 + 4)

Back

14

Front

Simplify using the Distributive Property: 5(x + 2)

Back

5x + 10

Front

Simplify using the Distributive Property: -3(4 - x)

Back

-12 + 3x

Front

Simplify using the Distributive Property: 7(2y + 1)

Back

14y + 7

Front

What happens when you distribute a negative sign?

Back

Distributing a negative sign changes the signs of the terms inside the parentheses.

Front

Simplify using the Distributive Property: -4(m - 3)

Back

-4m + 12

Front

Simplify using the Distributive Property: 6(2 - n)

Back

12 - 6n

Front

What is the result of distributing 0?

Back

Any number multiplied by 0 is 0, so a(0) = 0.

Front

Simplify using the Distributive Property: -2(5 + 3k)

Back

-10 - 6k