Combining Like Terms

Front

What does it mean to combine like terms in an 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 expression that have the same variable(s) raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you simplify the expression 3 + 5x + 4?

Back

You combine the constant terms (3 and 4) to get 7, resulting in the simplified expression 5x + 7.

Front

What is the first step in simplifying the expression 2x + 3 + 9x + 2?

Back

The first step is to combine the like terms 2x and 9x, and then combine the constant terms 3 and 2.

Front

What is the simplified form of 2x + 3 + 9x + 2?

Back

The simplified form is 11x + 5.

Front

In the expression y^2 + 4xy + 4x + 5y^2 - 2xy - 2x, which terms are like terms?

Back

The like terms are y^2 and 5y^2, as well as 4xy and -2xy, and 4x and -2x.

Front

What is the simplified form of y^2 + 4xy + 4x + 5y^2 - 2xy - 2x?

Back

The simplified form is 6y^2 + 2xy + 2x.

Front

How do you simplify the expression n + 10 + 9n - 3?

Back

Combine the like terms n and 9n, and then combine the constant terms 10 and -3.

Front

What is the simplified form of n + 10 + 9n - 3?

Back

The simplified form is 10n + 7.

Front

What is the result of simplifying the expression -2x + 8y + 10x?

Back

The result is 8x + 8y after combining the like terms -2x and 10x.