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(a + 6)?

Back

You multiply 5 by both a and 6, resulting in 5a + 30.

Front

What is the result of applying the Distributive Property to 2(c - 8)?

Back

The result is 2c - 16.

Front

What is the outcome of distributing 3 in the expression 3(2c - 5)?

Back

The outcome is 6c - 15.

Front

How do you simplify the expression 5(a + 6) using the Distributive Property?

Back

By distributing 5, you get 5a + 30.

Front

What does it mean to 'distribute' in mathematics?

Back

To distribute means to multiply a single term by each term inside a set of parentheses.

Front

If you have the expression 2(c - 8), what is the first step in simplifying it?

Back

The first step is to multiply 2 by both c and -8.

Front

What is the simplified form of -3(8 - 4x)?

Back

The simplified form is -24 + 12x or 12x - 24.

Front

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

Back

You can check your work by substituting values for the variables and ensuring both sides of the equation are equal.

Front

What is the result of distributing -4 in the expression -4(x + 2)?

Back

The result is -4x - 8.