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 single term by two or more terms inside a set of parentheses.

Front

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

Back

6c - 15

Front

Apply the Distributive Property: 2(c - 8)

Back

2c - 16

Front

What does it mean to 'distribute' in mathematics?

Back

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

Front

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

Back

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

Front

Use the Distributive Property to simplify: 5(x + 2)

Back

5x + 10

Front

Use the Distributive Property to simplify: 7(3y - 4)

Back

21y - 28

Front

What is the result of applying the Distributive Property to: -2(3x + 5)?

Back

-6x - 10

Front

How do you check your work after using the Distributive Property?

Back

You can check your work by combining like terms and ensuring the expression is equivalent to the original.

Front

What is an example of a real-world application of the Distributive Property?

Back

Calculating total cost: If one item costs $5 and you buy 3 of them, you can use the Distributive Property: 3($5) = $15.