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 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 combine the like terms 30 and 27?

Back

You add them together: 30 + 27 = 57.

Front

What is the result of combining the like terms 80k and 9k?

Back

You add them together: 80k + 9k = 89k.

Front

What is the simplified form of the expression -14w + 9w + 8 - 2?

Back

Combine like terms: -14w + 9w = -5w and 8 - 2 = 6, so the simplified expression is -5w + 6.

Front

How do you simplify the expression 8c + 6 - 3c - 2?

Back

Combine like terms: 8c - 3c = 5c and 6 - 2 = 4, so the simplified expression is 5c + 4.

Front

What is the simplified form of 5 + 11y + 2?

Back

Combine like terms: 5 + 2 = 7, so the simplified expression is 11y + 7.

Front

How do you simplify the expression 7v + 2 + 12 + 2v?

Back

Combine like terms: 7v + 2v = 9v and 2 + 12 = 14, so the simplified expression is 9v + 14.

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.