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 3y 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, 3x + 5x = 8x.

Front

Simplify: 5x + 3y + 5 + 4x + 3y + y + 8

Back

9x + 7y + 13

Front

Combine like terms: 3x + 2x + 3y - 7y

Back

5x - 4y

Front

Simplify by combining like terms: 3x - 5x

Back

-2x

Front

Combine: y + x + y + y + x

Back

2x + 3y

Front

Simplify: -2x + 11 + 6x

Back

4x + 11

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7.

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 a term with a variable and a constant?

Back

You cannot combine them directly; they remain separate. For example, 3x + 5 cannot be simplified further.