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

Apply the Distributive Property: 10(3y + 1)

Back

30y + 10

Front

Apply the Distributive Property: 3(2c - 5)

Back

6c - 15

Front

Apply the Distributive Property: 3(6x - 5)

Back

18x - 15

Front

Apply the Distributive Property: 5(2x + 6)

Back

10x + 30

Front

Apply the Distributive Property: 5(4j + 2)

Back

20j + 10

Front

What does it mean to simplify an expression using the Distributive Property?

Back

To simplify means to combine like terms and make the expression easier to understand.

Front

What is an example of using the Distributive Property with negative numbers?

Back

Example: 4(-2 + 3) = 4*-2 + 4*3 = -8 + 12 = 4.

Front

What is the first step in applying the Distributive Property?

Back

Multiply the term outside the parentheses by each term inside the parentheses.

Front

If a = 2 and b = 3, what is the result of 2(a + b)?

Back

2(2 + 3) = 2*2 + 2*3 = 4 + 6 = 10.