Combining Like Terms

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 2x are like terms because they both contain the variable x.

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract the coefficients of the terms that are alike. For example, in 3x + 2x, you add the coefficients (3 + 2) to get 5x.

Front

What is the result of combining the like terms in the expression: 3x + 2x + 11y - 7y?

Back

The result is 5x + 4y.

Front

What is the simplified form of the expression: 15x + 19 + 2x - 4?

Back

The simplified form is 17x + 15.

Front

How do you simplify the expression: 5a + 2b - 3a + 4?

Back

You combine like terms to get 2a + 2b + 4.

Front

What is the result of combining the terms -r and -10r?

Back

The result is -11r.

Front

If you have the expression v + v + v + v + v, how can you simplify it?

Back

You can simplify it to 5v.

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7.

Front

What is the constant term in the expression 4x + 5 - 2x + 3?

Back

The constant term is 8 (5 + 3).

Front

Can you combine the terms 4xy and 4x^2y?

Back

No, you cannot combine them because they are not like terms; they have different variable powers.