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, 2x + 3x = 5x.

Front

Simplify: 2x + 3 + 9x + 2

Back

11x + 5

Front

What is the coefficient in the term 7xy?

Back

The coefficient is 7.

Front

Simplify: y^2 + 4xy + 4x + 5y^2 - 2xy - 2x

Back

6y^2 + 2xy + 2x

Front

What is a constant term?

Back

A constant term is a term that does not contain any variables. For example, in the expression 3x + 5, the number 5 is a constant term.

Front

Simplify: -2x + 8y + 10x

Back

8x + 8y

Front

What is the degree of the term 4x^3y^2?

Back

The degree is 5, which is the sum of the exponents (3 + 2).

Front

Simplify: 2x^2 + 10x + 5x^2 + 25x

Back

7x^2 + 35x

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.