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 5(a + 6)?

Back

By applying the Distributive Property, you multiply 5 by both a and 6, resulting in 5a + 30.

Front

Simplify the expression 11(9 + d) using the Distributive Property.

Back

Using the Distributive Property, 11(9 + d) simplifies to 99 + 11d.

Front

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

Back

The result is 40 + 8w.

Front

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

Back

By distributing 2, you get 2c - 16.

Front

What is the simplified form of 3(2c - 5)?

Back

The simplified form is 6c - 15.

Front

What is an example of a real-world application of the Distributive Property?

Back

Calculating total costs when buying multiple items, such as 5 packs of pencils at $2 each and 5 packs of erasers at $3 each.

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 the first step in using the Distributive Property?

Back

Identify the term outside the parentheses and the terms inside the parentheses.

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.