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, you add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = (3 + 5)x = 8x.

Front

Simplify the expression: 10x + 15 + 3x + 2

Back

13x + 17

Front

Simplify the expression: -2x + 11 + 6x

Back

4x + 11

Front

Simplify the expression: 6x + 2x

Back

8x

Front

Simplify the expression: 2x + 1 + 7x

Back

9x + 1

Front

Simplify the expression: x + 4 + 7(x + 5)

Back

8x + 39

Front

What is the coefficient in the term 5x?

Back

The coefficient is 5, 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 3x + 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 remain as 3x + 4y.