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

Simplify: 2x + 3x + 5 + 2

Back

5x + 7

Front

What are like terms?

Back

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

Front

Simplify: 3a + 2b + 7a - b

Back

10a + b

Front

What is the first step in combining like terms?

Back

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

Front

Simplify: x + 2y + z - x + z

Back

2y + 2z

Front

What is the result of combining 5n + 1 + n + 5 - 2n?

Back

4n + 6

Front

How do you combine constants in an expression?

Back

You add or subtract the constant terms together. For example, in 5 + 2, you would combine them to get 7.

Front

Simplify: 2x + 4y + 8z + 3x + y

Back

5x + 5y + 8z

Front

What is the importance of combining like terms?

Back

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