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 6x(x - 9)?

Back

You multiply 6x by each term inside the parentheses: 6x * x = 6x^2 and 6x * -9 = -54x, resulting in 6x^2 - 54x.

Front

What is the result of applying the Distributive Property to (x + 10)(-2)?

Back

Distributing -2 gives -2 * x = -2x and -2 * 10 = -20, resulting in -2x - 20.

Front

What do you get when you distribute 2 in the expression 2(x + 4)?

Back

Distributing 2 gives 2 * x = 2x and 2 * 4 = 8, resulting in 2x + 8.

Front

How do you simplify 6(x + y + 7) using the Distributive Property?

Back

Distributing 6 gives 6 * x = 6x, 6 * y = 6y, and 6 * 7 = 42, resulting in 6x + 6y + 42.

Front

What is the result of distributing -10 in the expression -10(-3x - 5y)?

Back

Distributing -10 gives -10 * -3x = 30x and -10 * -5y = 50y, resulting in 30x + 50y.

Front

Can the Distributive Property be used with subtraction?

Back

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

Front

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

Back

For example, in -3(x + 2), distributing -3 gives -3x - 6.

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 factor outside the parentheses and the terms inside the parentheses.