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 and exponent. For example, 3x + 5x = (3 + 5)x = 8x.

Front

What is the result of combining 3x^2 - x + 2 - 5x^2 + 8x - 5?

Back

The result is -2x^2 + 7x - 3.

Front

What is the simplified form of n + 10 + 9n - 3?

Back

The simplified form is 10n + 7.

Front

What is the equivalent expression for v + v + v + v + v?

Back

The equivalent expression is 5v.

Front

Combine the like terms: 3x + 2x + 11y - 7y.

Back

The result is 5x + 4y.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in 4x, 4 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 2x^2 are unlike terms.

Front

What is the result of combining 4x^2 - 3x + 11 - 2x?

Back

The result is 4x^2 - 5x + 11.