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: 6(8x - 2)

Back

48x - 12

Front

Use the Distributive Property to simplify: 9(2g + 3)

Back

18g + 27

Front

Use the Distributive Property to simplify: 9(3w + 1)

Back

27w + 9

Front

Use the Distributive Property to simplify: 2(c - 8)

Back

2c - 16

Front

Use the Distributive Property to simplify: 10(3y + 1)

Back

30y + 10

Front

What is an example of the Distributive Property with subtraction?

Back

5(4 - 2) = 5*4 - 5*2 = 20 - 10 = 10.

Front

If a = 3, b = 4, and c = 5, what is the value of 2(a + b + c) using the Distributive Property?

Back

2(3 + 4 + 5) = 2*3 + 2*4 + 2*5 = 6 + 8 + 10 = 24.

Front

What does it mean to 'distribute' in math?

Back

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

Front

How can the Distributive Property help in solving equations?

Back

It allows you to simplify expressions, making it easier to solve for a variable.