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 5(a + 6) using the Distributive Property.

Back

Distributing 5 gives: 5 * a + 5 * 6 = 5a + 30.

Front

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

Back

Distributing 2 gives: 2 * c - 2 * 8 = 2c - 16.

Front

How do you simplify 8(5 + w) using the Distributive Property?

Back

Distributing 8 gives: 8 * 5 + 8 * w = 40 + 8w.

Front

What is the simplified form of 11(9 + d) using the Distributive Property?

Back

Distributing 11 gives: 11 * 9 + 11 * d = 99 + 11d.

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 used 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, -2(3 - x) = -2 * 3 + 2 * x = -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.