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 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 -r - 10r?

Back

To simplify -r - 10r, combine the coefficients of like terms: -1 - 10 = -11, resulting in -11r.

Front

What is the result of simplifying the expression x + 3x - 2x?

Back

The result is 2x, as you combine the coefficients: 1 + 3 - 2 = 2.

Front

How do you simplify the expression -7 + 25x - 9?

Back

Combine the constant terms: -7 - 9 = -16, resulting in -16 + 25x.

Front

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

Back

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

Front

How do you simplify -2x + 8y + 10x?

Back

Combine the like terms -2x and 10x: -2 + 10 = 8, resulting in 8x + 8y.

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 with variable terms?

Back

No, constants cannot be combined with variable terms as they represent different types of quantities.

Front

What is the first step in simplifying an algebraic expression?

Back

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