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, 3x + 5x = (3 + 5)x = 8x.

Front

What is the result of 6y + 3y + 9y + 7y?

Back

25y

Front

What is the first step in simplifying (x^2 + 6x - 8) + (7 - 5x + 9x^2)?

Back

Combine like terms by grouping x^2 terms, x terms, and constant terms.

Front

What is the simplified form of (x^2 + 6x - 8) + (7 - 5x + 9x^2)?

Back

10x^2 + x - 1

Front

What is the result of simplifying (4a^3 - 8a - 4a^2) + (7a^3 - 7 - 6a)?

Back

11a^3 - 4a^2 - 14a - 7

Front

What is the sum of 4s + 8s?

Back

12s

Front

How do you simplify (x + 2x^2) + (4x^2 + 7x)?

Back

Combine like terms: 2x^2 + 4x^2 + x + 7x = 6x^2 + 8x.

Front

What is the result of 2x + 3x + 4x?

Back

9x

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.