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 4(p - 6)?

Back

You multiply 4 by both p and -6, resulting in 4p - 24.

Front

What is the result of applying the Distributive Property to 5(2x - 11)?

Back

The result is 10x - 55.

Front

When using the Distributive Property on 3(6x - 5), what do you get?

Back

You get 18x - 15.

Front

What is the outcome of distributing 9(3w + 1)?

Back

The outcome is 27w + 9.

Front

How do you simplify the expression 5(a + 6) using the Distributive Property?

Back

You simplify it to 5a + 30.

Front

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

Back

Calculating total costs, such as finding the total price of multiple items with different prices.

Front

Can the Distributive Property be used with subtraction?

Back

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

Front

What is the first step in applying 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 break down complex expressions into simpler parts for easier calculation.