Adding Like Terms

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you add like terms?

Back

To add like terms, combine their coefficients. For example, 4s + 8s = (4 + 8)s = 12s.

Front

What is the result of 4s + 8s?

Back

12s

Front

What is the result of 10z + 2z?

Back

12z

Front

What is the result of 7y + 2x + 3y?

Back

10y + 2x

Front

What is the result of 5x + 6 + 4x?

Back

9x + 6

Front

What is the result of 10y + 10x?

Back

10y + 10x

Front

Can you add terms with different variables?

Back

No, you cannot add terms with different variables. For example, 3x + 4y cannot be simplified further.

Front

What is a coefficient in a term?

Back

A coefficient is a numerical factor in a term. For example, in 5x, 5 is the coefficient.

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, 2a and 3a are like terms, but 2a and 3b are unlike terms.