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, 3xy and 5xy are like terms, while 3xy 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 are alike. For example, in 3xy + 5xy, you add the coefficients (3 + 5) to get 8xy.

Front

What is the coefficient in the term 7x^2?

Back

The coefficient is the number in front of the variable. In 7x^2, the coefficient is 7.

Front

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

Back

The degree of a term is the exponent of the variable. In 4y^3, the degree is 3.

Front

Combine the like terms: 2x + 3x.

Back

5x.

Front

Combine the like terms: 4y^2 + 2y^2.

Back

6y^2.

Front

Combine the like terms: 5xy - 2xy + 3xy.

Back

6xy.

Front

What is the result of combining the like terms: 9x^2 - 4x^2 + 2x^2?

Back

7x^2.

Front

Combine the like terms: 6a + 3b - 2a + 4b.

Back

4a + 7b.

Front

What is the simplified form of the expression: 8xy + 7x^2 + 6y - 4x^2 - 5xy?

Back

3x^2 + 3xy + 6y.