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

What is the result of applying the Distributive Property to 6(8x - 2)?

Back

48x - 12

Front

How do you apply the Distributive Property to -2(x - 5)?

Back

-2(x - 5) = -2x + 10

Front

What is the result of 2(c - 8) using the Distributive Property?

Back

2(c - 8) = 2c - 16

Front

What is the result of 5(a + 6) using the Distributive Property?

Back

5(a + 6) = 5a + 30

Front

What is the result of -9(2g + 3) using the Distributive Property?

Back

-9(2g + 3) = -18g - 27

Front

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

Back

4(3 + 2) = 4*3 + 4*2 = 12 + 8 = 20

Front

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

Back

Factoring an expression means to express it as a product of its factors, such as rewriting 12x + 8 as 4(3x + 2).

Front

How can the Distributive Property help in simplifying expressions?

Back

The Distributive Property helps in simplifying expressions by allowing you to combine like terms and eliminate parentheses.

Front

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

Back

If you buy 3 packs of pencils that cost $2 each and 3 erasers that cost $1 each, you can calculate the total cost as 3(2 + 1) = 3*3 = $9.