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

You multiply 2 by both c and -8, resulting in 2c - 16.

Front

Fill in the blank: 4(3x + __) = 12x + 16. What is the missing number?

Back

4.

Front

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

Back

The result is -4w + 1.

Front

What is the result of distributing 7a across the expression (3b - 2c + 4)?

Back

The result is 21ab - 14ac + 28a.

Front

Fill in the blank: 2(x + 7) = 2x + __. What is the missing number?

Back

14.

Front

What is the first step in using the Distributive Property?

Back

Identify the term 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 both addition and subtraction.

Front

What is an example of using the Distributive Property with negative numbers?

Back

For example, -3(2 - x) = -6 + 3x.

Front

How does the Distributive Property help in simplifying expressions?

Back

It allows you to eliminate parentheses and combine like terms.