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.

Front

How do you apply the Distributive Property to the expression 8(5 + w)?

Back

You multiply 8 by both 5 and w, resulting in 40 + 8w.

Front

What is the result of applying the Distributive Property to (9 + d)11?

Back

The result is 99 + 11d.

Front

Simplify the expression 5(p - 6) using the Distributive Property.

Back

The simplified expression is 5p - 30.

Front

What is the outcome of simplifying 13(5t - 12) using the Distributive Property?

Back

The outcome is 65t - 156.

Front

How do you simplify the expression 8(4b - 5)?

Back

You distribute 8 to both 4b and -5, resulting in 32b - 40.

Front

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

Back

Calculating total costs when buying multiple items, where the cost of each item can be expressed as a sum.

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

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 the importance of the Distributive Property in algebra?

Back

It simplifies expressions and helps solve equations by allowing the expansion of terms.