Distributive Property with Variables

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

Simplify using the Distributive Property: 4(3x + 2)

Back

12x + 8

Front

What does it mean to simplify an expression?

Back

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

Front

How do you apply the Distributive Property to negative terms?

Back

When applying the Distributive Property to negative terms, distribute the negative sign as well, e.g., -a(b + c) = -ab - ac.

Front

Simplify: 5(2x - 3)

Back

10x - 15

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, e.g., 3x and 5x are like terms.

Front

How can you check your work after simplifying an expression?

Back

You can check your work by substituting a value for the variable and ensuring both the original and simplified expressions yield the same result.

Front

What is the result of distributing 7(2y + 4)?

Back

14y + 28

Front

What is the first step in using the Distributive Property?

Back

The first step is to identify the term outside the parentheses and the terms inside the parentheses.

Front

Simplify: 6(x + 5) - 2x

Back

4x + 30