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.

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

Simplify the expression 8(5 + w) using the Distributive Property.

Back

You distribute 8 to both 5 and w, resulting in 40 + 8w.

Front

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

Back

Distributing 3 gives you 6c - 15.

Front

What is the simplified form of 11(9 + d) using the Distributive Property?

Back

Distributing 11 results in 99 + 11d.

Front

If you have the expression 4(x + 3), what is the simplified form?

Back

Distributing 4 gives you 4x + 12.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

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 a common mistake when using the Distributive Property?

Back

A common mistake is to only distribute to one term instead of all terms inside the parentheses.

Front

How do you apply the Distributive Property to negative numbers, such as -2(3 - x)?

Back

Distributing -2 gives you -6 + 2x.