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 8(x + 5)?

Back

You multiply 8 by both x and 5, resulting in 8x + 40.

Front

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

Back

The result is 2c - 16.

Front

What does the expression 3(2c - 5) simplify to using the Distributive Property?

Back

It simplifies to 6c - 15.

Front

If you have the expression 4(x + 3) - 2(x + 1), how do you simplify it using the Distributive Property?

Back

First distribute: 4x + 12 - 2x - 2, then combine like terms to get 2x + 10.

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 the result of applying the Distributive Property to -3(2x + 4)?

Back

The result is -6x - 12.

Front

How would you express 5(3y - 2) using the Distributive Property?

Back

You would express it as 15y - 10.

Front

What is the simplified form of 7(2x + 1) - 3(4x - 2)?

Back

The simplified form is 14x + 7 - 12x + 6, which simplifies to 2x + 13.