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(c - 8)?

Back

By applying the Distributive Property, you multiply 2 by both c and -8, resulting in 2c - 16.

Front

What is the result of applying the Distributive Property to 3(2c - 5)?

Back

The result is 6c - 15, as you multiply 3 by both 2c and -5.

Front

What do you get when you apply the Distributive Property to 3(4 + 3r)?

Back

You get 12 + 9r, by multiplying 3 by both 4 and 3r.

Front

Fill in the blank: 2(x + 7) = 2x + __

Back

14, because 2 multiplied by 7 equals 14.

Front

What is the result of -7(w - 4) + 3w - 27 after applying the Distributive Property?

Back

The result is -4w + 1 after distributing -7 and combining like terms.

Front

What is a common mistake when using the Distributive Property?

Back

A common mistake is forgetting to distribute the factor to both terms inside the parentheses.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be used with subtraction, as in a(b - c) = ab - ac.

Front

What is the first step in applying the Distributive Property to an expression?

Back

The first step is to identify the factor outside the parentheses and the terms inside the parentheses.

Front

How does the Distributive Property help in simplifying expressions?

Back

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