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 2(4 + 9w)?

Back

You multiply 2 by both 4 and 9w, resulting in 8 + 18w.

Front

What is the result of distributing 2 in the expression 2(c - 8)?

Back

The result is 2c - 16.

Front

When you distribute 3 in the expression 3(2c - 5), what do you get?

Back

You get 6c - 15.

Front

What is the equivalent expression when you distribute 5 in (b + 8)5?

Back

The equivalent expression is 5b + 40.

Front

How do you simplify the expression 2(4x - 7) using the Distributive Property?

Back

You simplify it to 8x - 14.

Front

What is an example of a real-life 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

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

If you have the expression 4(x + 3), what is the distributed form?

Back

The distributed form is 4x + 12.