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 the expression 2(c - 8)?

Back

You multiply 2 by both c and -8, resulting in 2c - 16.

Front

What is the result of distributing 5 in the expression (b + 8)5?

Back

The result is 5b + 40.

Front

What does it mean to 'distribute' in algebra?

Back

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

Front

If you have the expression 3(2c - 5), what is the equivalent expression after distribution?

Back

The equivalent expression is 6c - 15.

Front

What is the result of distributing 9 in the expression 9(x - 5)?

Back

The result is 9x - 45.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be used with both addition and subtraction.

Front

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

Back

For example, -2(a - 3) = -2a + 6.

Front

How can the Distributive Property help simplify expressions?

Back

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

Front

What is the first step in applying the Distributive Property?

Back

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