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: 23s + 23d + 4s - 4d

Back

27s + 19d

Front

Simplify: x + 3x + 6x + x

Back

11x

Front

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

Back

13w + 4d

Front

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

Back

11d + 2e

Front

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

Back

9q - 6t

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

Can you combine 2x and 3y? Why or why not?

Back

No, you cannot combine 2x and 3y because they are not like terms; they have different variables.