Distributive Property Homework

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number multiplied by a sum across the terms inside the parentheses.

Front

How do you apply the Distributive Property to the expression 24 + 30?

Back

You can rewrite it as 6(4 + 5) by factoring out the common factor of 6.

Front

What does it mean to distribute in mathematics?

Back

To distribute means to multiply each term inside the parentheses by the number outside the parentheses.

Front

How can you represent 8 x 49 using the Distributive Property?

Back

You can represent it as (8 x 40) + (8 x 9).

Front

What expression represents the total area of a rectangle with length 2 and width (3 + 5)?

Back

The expression is 2(3 + 5).

Front

If you have the expression 9(10 + 7), what does it represent?

Back

It represents the total area of a figure with a length of 9 and a width of (10 + 7).

Front

What is the first step in using the Distributive Property?

Back

Identify the number 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 subtraction as well, such as a(b - c) = ab - ac.

Front

What is an example of using the Distributive Property with variables?

Back

For example, 3(x + 4) can be distributed to become 3x + 12.

Front

How do you check your work after applying the Distributive Property?

Back

You can check your work by combining like terms and ensuring the result matches the original expression.