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: 2(3 + 4)

Back

2(3 + 4) = 2*3 + 2*4 = 6 + 8 = 14

Front

Simplify: 5(2x + 3)

Back

5(2x + 3) = 5*2x + 5*3 = 10x + 15

Front

Use the distributive property to simplify: 7(3 + 2y)

Back

7(3 + 2y) = 7*3 + 7*2y = 21 + 14y

Front

What does it mean to 'distribute' in mathematics?

Back

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

Front

Simplify: 4(5 - 2)

Back

4(5 - 2) = 4*5 - 4*2 = 20 - 8 = 12

Front

Use the distributive property to write an equivalent expression: 3(x + 4)

Back

3(x + 4) = 3*x + 3*4 = 3x + 12

Front

What is an equivalent expression?

Back

An equivalent expression is one that has the same value as another expression, even if it looks different.

Front

Simplify: 6(2y + 1)

Back

6(2y + 1) = 6*2y + 6*1 = 12y + 6

Front

Use the distributive property to simplify: -2(3 - 5x)

Back

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