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 2(c - 8)?

Back

By applying the Distributive Property, you multiply 2 by both c and -8, resulting in 2c - 16.

Front

Simplify the expression 3(2h + 3c + 2) using the Distributive Property.

Back

Using the Distributive Property, you get 6h + 9c + 6.

Front

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

Back

The result is 5a + 30.

Front

How do you simplify 3(2c - 5) using the Distributive Property?

Back

You distribute 3 to both 2c and -5, resulting in 6c - 15.

Front

What is the simplified form of 8(5 + w) using the Distributive Property?

Back

The simplified form is 40 + 8w.

Front

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

Back

Calculating total costs when buying multiple items, such as 3 packs of pencils at $2 each and 3 packs of erasers at $1 each, can be simplified using the Distributive Property.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be used with subtraction, as in a(b - c) = ab - ac.

Front

What is the first step in applying the Distributive Property?

Back

The first step is to identify the term outside the parentheses and the terms inside the parentheses.