Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a multiplier across terms inside parentheses.

Front

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

Back

You multiply 8 by both x and 5, resulting in 8x + 40.

Front

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

Back

The result is 6c - 15.

Front

What does the expression 2(c - 8) simplify to using the Distributive Property?

Back

It simplifies to 2c - 16.

Front

How do you simplify the expression -3(8x - 12) using the Distributive Property?

Back

It simplifies to -24x + 36.

Front

What is the result of applying the Distributive Property to 7(5x + 1)?

Back

The result is 35x + 7.

Front

Can the Distributive Property be used with negative numbers?

Back

Yes, the Distributive Property can be applied to negative numbers as well.

Front

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

Back

For example, -2(3x + 4) simplifies to -6x - 8.

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 term outside the parentheses and multiply it by each term inside the parentheses.