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 are alike. For example, in 4x + 3x, you add the coefficients (4 + 3) to get 7x.

Front

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

Back

13w + 4d

Front

What does it mean when an expression can't be simplified?

Back

An expression can't be simplified when it contains no like terms to combine. For example, 4f^2 + 3h - g + f cannot be simplified further.

Front

Simplify: 4f^2 + 3h - g + f

Back

Can't be simplified

Front

Simplify: 7y^2 - 5y + 9y - 5y^2

Back

2y^2 + 4y

Front

What is the coefficient in the term 5x?

Back

The coefficient is the number in front of the variable, which is 5 in this case.

Front

Simplify: 5e + 7e - 10e + 9e

Back

11e

Front

What is the first step in combining like terms?

Back

Identify the like terms in the expression.

Front

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

Back

9q - 6t