Combining Like Terms

Front

What does it mean to combine like terms in algebra?

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

Simplify: 6x + 1 + 7x

Back

13x + 1

Front

What are like terms?

Back

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

Front

Simplify: n + 10 + 9n - 3

Back

10n + 7

Front

What is the first step in combining like terms?

Back

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

Front

Simplify: y^2 + 4xy + 4x + 5y^2 - 2xy - 2x

Back

6y^2 + 2xy + 2x

Front

What is the result of combining 12c - 4c + 3?

Back

8c + 3

Front

Simplify: 8y^2 + 7xy - 2y^2 - 5xy + 2x

Back

6y^2 + 2xy + 2x

Front

Why is it important to combine like terms?

Back

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

Front

What is the difference between like terms and unlike terms?

Back

Like terms have the same variable and exponent, while unlike terms do not. For example, 2x and 3x are like terms, but 2x and 3y are unlike terms.