Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

How do you apply the Distributive Property to (b + 8)5?

Back

You multiply each term inside the parentheses by 5: (b + 8)5 = 5b + 40.

Front

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

Back

You distribute -2 to both x and 5: -2(x + 5) = -2x - 10.

Front

What do you get when you apply the Distributive Property to 3(2c - 5)?

Back

You distribute 3 to both 2c and -5: 3(2c - 5) = 6c - 15.

Front

How do you simplify -4(k - 7) using the Distributive Property?

Back

You distribute -4 to both k and -7: -4(k - 7) = -4k + 28.

Front

What is the result of -3(2c - 5) when applying the Distributive Property?

Back

You distribute -3 to both 2c and -5: -3(2c - 5) = -6c + 15.

Front

What is an example of a negative coefficient in the Distributive Property?

Back

In -2(x + 5), -2 is the negative coefficient that is distributed.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be applied to expressions with subtraction, such as a(b - c) = ab - ac.

Front

What is the first step in using the Distributive Property?

Back

Identify the term outside the parentheses and the terms inside the parentheses.

Front

How does the Distributive Property help in simplifying expressions?

Back

It allows you to eliminate parentheses and combine like terms, making expressions easier to work with.