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

What is the first step in simplifying an expression?

Back

The first step in simplifying an expression is to identify and group like terms together.

Front

Simplify the expression: 7v + 2 + 12 + 2v

Back

9v + 14

Front

Simplify the expression: 3 + 5x + 8 - 2x

Back

11 + 3x

Front

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

Back

8x + 39

Front

Simplify the expression: 3x + 2x

Back

5x

Front

Simplify the expression: 6x + 2x

Back

8x

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.