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 5(2x + 3)?

Back

You multiply 5 by each term inside the parentheses: 5 * 2x + 5 * 3 = 10x + 15.

Front

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

Back

The result is 2c - 16.

Front

If you have the expression 3(2c - 5), what is the distributed form?

Back

The distributed form is 6c - 15.

Front

Which expression is equivalent to 12x + 6?

Back

12x + 6 is equivalent to 6(2x + 1), but not to 12(x + 6).

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 the variables involved.

Front

How can you check if two expressions are equivalent?

Back

You can check by simplifying both expressions and seeing if they result in the same expression or by substituting values for the variables.

Front

What is the equivalent expression for 4x + 28 using the Distributive Property?

Back

The equivalent expression is 4(x + 7).

Front

What is the first step in applying the Distributive Property?

Back

The first step is to identify the factor that will be distributed across the terms inside the parentheses.

Front

Can the Distributive Property be used with subtraction?

Back

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