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

What is the result of distributing 10 in the expression 10(x - 20)?

Back

The result is 10x - 200.

Front

If you have the expression 3(2c - 5), what is the equivalent expression after applying the Distributive Property?

Back

The equivalent expression is 6c - 15.

Front

How do you simplify the expression 5(2 - 7n) using the Distributive Property?

Back

You distribute 5 to both 2 and -7n, resulting in 10 - 35n.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of their variables.

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 a negative number?

Back

For example, -3(x + 4) = -3x - 12.

Front

How would you distribute 4 in the expression 4(3y + 2)?

Back

You would get 12y + 8.

Front

What is the first step in applying the Distributive Property?

Back

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