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 -3(2c - 5)?

Back

You multiply -3 by each term inside the parentheses: -3 * 2c = -6c and -3 * -5 = +15, resulting in -6c + 15.

Front

Simplify the expression 8(4b - 5) using the Distributive Property.

Back

Distributing 8 gives: 8 * 4b = 32b and 8 * -5 = -40, so the simplified expression is 32b - 40.

Front

What is the result of applying the Distributive Property to 9(5c + 4)?

Back

Distributing 9 gives: 9 * 5c = 45c and 9 * 4 = 36, resulting in 45c + 36.

Front

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

Back

Distributing 3 gives: 3 * 2c = 6c and 3 * -5 = -15, so the simplified expression is 6c - 15.

Front

What is the first step in using the Distributive Property?

Back

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

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be applied to both addition and subtraction.

Front

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

Back

Calculating total costs, such as finding the total price of multiple items with different prices.

Front

If a = 2 and b = 3, what is the result of 2(a + b) using the Distributive Property?

Back

Using the Distributive Property: 2(a + b) = 2*2 + 2*3 = 4 + 6 = 10.

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.