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

Use the Distributive Property to simplify: 3(4 + 5)

Back

3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

What is the result of applying the Distributive Property to 2(3x + 4)?

Back

2(3x + 4) = 2*3x + 2*4 = 6x + 8.

Front

Simplify using the Distributive Property: 5(2x + 6)

Back

5(2x + 6) = 10x + 30.

Front

What is the equivalent expression for (5 - 3x)2 using the Distributive Property?

Back

(5 - 3x)2 = 5*2 - 3x*2 = 10 - 6x.

Front

Use the Distributive Property to simplify: 4(2x + 3)

Back

4(2x + 3) = 4*2x + 4*3 = 8x + 12.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to express it as a product of its factors, often using the Distributive Property.

Front

Simplify: 12(3y + 2) using the Distributive Property.

Back

12(3y + 2) = 12*3y + 12*2 = 36y + 24.

Front

What is the result of applying the Distributive Property to 5(2x - 11)?

Back

5(2x - 11) = 10x - 55.

Front

If a(b + c) = ab + ac, what is a called?

Back

a is called the 'factor' in the Distributive Property.