Combine Like Terms and Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is a like term?

Back

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

Front

What is the result of distributing 2(5x + 6)?

Back

10x + 12

Front

What do you get when you combine 12y - 8 + 3y - 2?

Back

15y - 10

Front

What is the result of -3(4x + 2) + 5x?

Back

-7x - 6

Front

What is the result of 8x + 3(7x - 6)?

Back

29x - 18

Front

What is the result of combining 3x + 5 + 2x - 7?

Back

5x - 2

Front

What does it mean to simplify an expression?

Back

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

Front

What is the first step in using the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.