Combining Like Terms

Front

What does it mean to combine like terms in an algebraic expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What are like terms?

Back

Like terms are terms in an algebraic expression that have the same variable and exponent. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you identify like terms in an expression?

Back

To identify like terms, look for terms that have the same variable(s) and the same exponent(s). Only those terms can be combined.

Front

What is the first step in simplifying the expression -2x + 11 + 6x?

Back

The first step is to identify and combine the like terms, which are -2x and 6x.

Front

What is the result of combining the like terms in the expression -2x + 11 + 6x?

Back

The result is 4x + 11.

Front

In the expression 2x + 1 + 7x, what are the like terms?

Back

The like terms are 2x and 7x.

Front

What is the simplified form of the expression 2x + 1 + 7x?

Back

The simplified form is 9x + 1.

Front

In the expression 3n + 5p + 2 + n, how do you combine like terms?

Back

Combine the like terms 3n and n to get 4n, while 5p and 2 remain unchanged.

Front

What is the simplified result of the expression 3n + 5p + 2 + n?

Back

The simplified result is 4n + 5p + 2.

Front

How do you simplify the expression 2r + 2 + 5r + 2 + r?

Back

Combine the like terms 2r, 5r, and r to get 8r, and add the constant terms 2 and 2 to get 4.