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 -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 -4(k - 7) using the Distributive Property.

Back

Distributing -4 gives -4 * k = -4k and -4 * -7 = +28, resulting in -4k + 28.

Front

What is the result of applying the Distributive Property to -8(6x + 3)?

Back

Distributing -8 gives -8 * 6x = -48x and -8 * 3 = -24, resulting in -48x - 24.

Front

How do you simplify 2(3v - 8) using the Distributive Property?

Back

Distributing 2 gives 2 * 3v = 6v and 2 * -8 = -16, resulting in 6v - 16.

Front

What is the simplified form of 8(4b - 5) using the Distributive Property?

Back

Distributing 8 gives 8 * 4b = 32b and 8 * -5 = -40, resulting in 32b - 40.

Front

What is the first step in using the Distributive Property?

Back

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

Front

Can the Distributive Property be used with negative numbers?

Back

Yes, the Distributive Property can be applied to expressions with negative numbers just like with positive numbers.

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 where each item has a different price.

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.