3-7 Practice: Combine 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 3x + 5x, you add the coefficients (3 + 5) to get 8x.

Front

Combine the like terms in the expression: 3f + d + 4f

Back

7f + d or d + 7f

Front

Combine the like terms in the expression: 12c + 2 + 7c

Back

19c + 2

Front

Combine the like terms in the expression: 5b + 9 + 3b

Back

8b + 9

Front

Combine the like terms in the expression: 4d + 2d - 2

Back

6d - 2

Front

Combine the like terms in the expression: 12x + 2 + 3x

Back

15x + 2

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. For example, in 4x, 4 is the coefficient.

Front

What is a constant term?

Back

A constant term is a term that does not contain any variables. For example, in the expression 3x + 5, 5 is the constant term.

Front

What happens if there are no like terms in an expression?

Back

If there are no like terms, the expression cannot be simplified further. For example, in 3x + 4y, there are no like terms.