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 applying the Distributive Property to -4(-4d + 5)?

Back

The result is 16d - 20.

Front

When applying the Distributive Property to -3(2c - 5), what is the simplified expression?

Back

The simplified expression is -6c + 15.

Front

What do you get when you apply the Distributive Property to (x + 10)(-2)?

Back

You get -2x - 20.

Front

What is the outcome of distributing 4 over the expression -p - 6?

Back

The outcome is -4p - 24.

Front

Can the Distributive Property be used with negative numbers?

Back

Yes, the Distributive Property can be applied to expressions involving negative numbers.

Front

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

Back

An example is -2(3 + 4) = -2*3 + -2*4 = -6 - 8 = -14.

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.

Front

What is the first step in applying the Distributive Property?

Back

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