2.Which of the following sentences contain NC’s and which contain adverbial clauses?

a.Liz accepted [that she would never be a great opera singer. ](Noun Clause)
b.I’ll participate provided [that you listen to me.] (Noun Clause)
c.We waited [until the sun had set.] (Adverbial Clause)
d.Deb expected [that the foundation would collapse.] (Noun Clause)
e.The interviewer will hire him [if he makes a good impression.] (Adverbial Clause)

I have outline what I think are the adverbial or noun clauses by using the square brackets. I think, for the most part they're correct, but I'd like a second opinion.

Liz accepted ( a present)

Liz accepted ( that she would never ,,,,)

What is " a present"?
The clause is used in the same way.

Keith and dean's bikes

Your determination of adverbial or noun clauses is mostly correct. Here's a breakdown of each sentence:

a. Liz accepted [that she would never be a great opera singer.] - This is a noun clause, as it functions as the direct object of the verb "accepted."

b. I'll participate provided [that you listen to me.] - This is a noun clause, as it serves as the direct object of the verb "provided."

c. We waited [until the sun had set.] - This is an adverbial clause, as it provides information about the time or condition of the action ("waited").

d. Deb expected [that the foundation would collapse.] - This is a noun clause, as it functions as the direct object of the verb "expected."

e. The interviewer will hire him [if he makes a good impression.] - This is an adverbial clause, as it provides information about the condition under which the action ("will hire") will occur.

Overall, you correctly identified the noun clauses in sentences a, b, and d, as well as the adverbial clauses in sentences c and e. Nice work!