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, in 2x + 3x, you add the coefficients (2 + 3) to get 5x.

Front

Simplify: 5p + 7y + 2t - 3p + 4y

Back

2p + 11y + 2t

Front

Back

Front

Simplify: 10w + 3d + 3w + d

Back

13w + 4d

Front

Simplify: 8q + 3q - 6t + 2q - 4q

Back

9q - 6t

Front

Simplify: 10d - 3d + 2e + 4d

Back

11d + 2e

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

Unlike terms cannot be combined. For example, 3x and 4y cannot be added together because they are not like terms.