Question

identify the terms and like terms in the expression.
2n - n - 1 + 7n
terms
like terms

Explanation:

Step1: Identify Terms

Terms in an expression are separated by addition or subtraction signs. For the expression \(2n - n - 1 + 7n\), we can rewrite the subtractions as additions of the opposite: \(2n + (-n) + (-1) + 7n\). So the terms are \(2n\), \(-n\), \(-1\), and \(7n\).

Step2: Identify Like Terms

Like terms are terms that have the same variable (or no variable, for constant terms). Here, \(2n\), \(-n\), and \(7n\) all have the variable \(n\) raised to the first power, so they are like terms. The term \(-1\) is a constant (no variable) and has no other constant terms to be like with in this expression.

Answer:

Terms: \(2n\), \(-n\), \(-1\), \(7n\)
Like terms: \(2n\), \(-n\), \(7n\)