Combine 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 simplify the expression 3x - 5x?

Back

To simplify 3x - 5x, combine the coefficients: 3 - 5 = -2, resulting in -2x.

Front

What is the result of adding the like terms 2f and f?

Back

The result of adding 2f and f is 3f.

Front

How do you simplify the expression -4x - 10x?

Back

To simplify -4x - 10x, combine the coefficients: -4 - 10 = -14, resulting in -14x.

Front

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

Back

The simplified form is 9x + 1, combining the like terms 2x and 7x.

Front

How do you simplify the expression 6x + 2x + 1 + 4?

Back

Combine the like terms 6x and 2x to get 8x, and combine the constants 1 and 4 to get 5, resulting in 8x + 5.

Front

What is the importance of combining like terms in algebra?

Back

Combining like terms is important because it simplifies expressions, making them easier to work with and understand.

Front

Can constants be combined as like terms?

Back

Yes, constants can be combined as like terms. For example, in the expression 3 + 5, both are constants and can be combined to give 8.

Front

What is the first step in simplifying an algebraic expression?

Back

The first step is to identify and group like terms together.