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

What is the result of applying the Distributive Property to 2(c - 8)?

Back

You multiply 2 by each term inside the parentheses: 2 * c = 2c and 2 * -8 = -16, resulting in 2c - 16.

Front

What is the result of distributing 5 in the expression 5(a + 6)?

Back

You multiply 5 by each term inside the parentheses: 5 * a = 5a and 5 * 6 = 30, resulting in 5a + 30.

Front

What is the first step in using the Distributive Property?

Back

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

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, applying the Distributive Property to -2(3 - x) results in -2 * 3 = -6 and -2 * -x = 2x, giving -6 + 2x.

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 result of applying the Distributive Property to the expression 4(2x + 3y)?

Back

You multiply 4 by each term: 4 * 2x = 8x and 4 * 3y = 12y, resulting in 8x + 12y.

Front

What is the relationship between the Distributive Property and factoring?

Back

The Distributive Property is used in factoring; for example, if you have ab + ac, you can factor it as a(b + c).