Combining Like Terms

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 2x + 3x = 5x.

Front

Simplify: 2x + 3 + 9x + 2

Back

11x + 5

Front

Simplify: -2x + 8y + 10x

Back

8x + 8y

Front

Simplify: -7 + 25x - 9

Back

-16 + 25x

Front

Simplify: 5x + 18y - 13x - 14y

Back

-8x + 4y

Front

Simplify: x + 3x - 2x

Back

2x

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7, which is the number multiplying the variable x.

Front

What is a constant term?

Back

A constant term is a term that does not contain any variables. For example, in the expression 4x + 5, the number 5 is a constant term.

Front

What happens when you combine unlike terms?

Back

You cannot combine unlike terms. For example, 3x and 4y cannot be combined because they are not like terms.