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 4y 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 + 2x = 5x.

Front

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

Back

5x - 4y.

Front

What is the simplified form of 2x + 1 + 7x?

Back

9x + 1.

Front

How do you simplify -10x + 15 - 3x + 2?

Back

-13x + 17.

Front

What is the result of combining 5a + 2b - 3a + 4?

Back

2a + 2b + 4.

Front

What is the simplified expression for y + x + y + y + x?

Back

2x + 3y.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term. 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 2y are unlike terms.