Combining 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 4x^2 are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = (3 + 5)x = 8x.

Front

Simplify the expression: 7v + 2 + 12 + 2v

Back

9v + 14

Front

What is the result of combining -x^2 + 7x - 10 + 4x^2 - 6x + 8?

Back

3x^2 + x - 2

Front

Simplify: 3x^2 - x + 2 - 5x^2 + 8x - 5

Back

-2x^2 + 7x - 3

Front

What is the simplified form of -r - 10r?

Back

-11r

Front

Combine like terms: 4x^2 - 3x + 11 - 2x

Back

4x^2 - 5x + 11

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 5x, 5 is the coefficient.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

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.