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 8(4b - 5)?

Back

You multiply 8 by each term inside the parentheses: 8 * 4b = 32b and 8 * -5 = -40, resulting in 32b - 40.

Front

Simplify the expression 2(3v - 8) using the Distributive Property.

Back

Distributing 2 gives: 2 * 3v = 6v and 2 * -8 = -16, so the simplified expression is 6v - 16.

Front

What is the result of applying the Distributive Property to (b + 8)5?

Back

Distributing 5 gives: 5 * b = 5b and 5 * 8 = 40, resulting in 5b + 40.

Front

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

Back

Distributing 2 gives: 2 * c = 2c and 2 * -8 = -16, so the simplified expression is 2c - 16.

Front

What is the outcome of (x - 6)4 when applying the Distributive Property?

Back

Distributing 4 gives: 4 * x = 4x and 4 * -6 = -24, resulting in 4x - 24.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be applied to expressions with subtraction, such as a(b - c) = ab - ac.

Front

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

Back

For example, in -3(2 - 5), distributing -3 gives: -3 * 2 = -6 and -3 * -5 = 15, resulting in -6 + 15.

Front

How does the Distributive Property help in solving equations?

Back

It allows you to simplify expressions by breaking them down into manageable parts, making it easier to solve for variables.

Front

What is the first step in applying the Distributive Property?

Back

Identify the factor outside the parentheses and the terms inside the parentheses that need to be multiplied.