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 is a like term?

Back

Like terms are terms 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 3x - 5x?

Back

You combine the like terms to get -2x.

Front

What is the result of combining the terms n - 10 + 9n - 3?

Back

The result is 10n - 13.

Front

How do you simplify the expression 4b - 25 + 19?

Back

Combine like terms to get 4b - 6.

Front

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

Back

The simplified form is 9x + 1.

Front

What is the process for simplifying the expression 5a + 2b - 3a + 4?

Back

Combine like terms to get 2a + 2b + 4.

Front

What is the first step in combining like terms?

Back

Identify and group the like terms in the expression.

Front

Can constants be combined with variable terms?

Back

No, constants can only be combined with other constants, and variable terms can only be combined with like variable terms.

Front

What is the importance of combining like terms in algebra?

Back

Combining like terms simplifies expressions, making them easier to work with and solve.