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(x - 5)?

Back

You multiply 4 by both x and -5, resulting in 4x - 20.

Front

What is the result of applying the Distributive Property to 5(y - 1)?

Back

The result is 5y - 5.

Front

When applying the Distributive Property to -4(n - 4), what is the simplified expression?

Back

The simplified expression is -4n + 16.

Front

What do you get when you apply the Distributive Property to 3(a - 10)?

Back

You get 3a - 30.

Front

What is the outcome of distributing -10 in the expression -10(c - 8)?

Back

The outcome is -10c + 80.

Front

Can the Distributive Property be used with negative numbers?

Back

Yes, the Distributive Property can be applied to expressions with negative numbers.

Front

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

Back

Calculating total costs when buying multiple items, such as 3 shirts at $20 each and 2 pairs of pants at $30 each.

Front

How does the Distributive Property help in simplifying algebraic expressions?

Back

It allows you to eliminate parentheses and combine like terms, making expressions easier to work with.

Front

What is the first step in using the Distributive Property?

Back

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