Is האם strictly necessary here?
It can be
Thanks. I suggested that, but I wanted to make sure I wasn't missing something.
I was told that I was wrong because I didn't include האם, but האם shouldn't be necessary. Of course, I also had the wrong conjugation of the verb, so I can't report it as "my sentence should be correct."
הַאִם הָעֲבוֹדָה נֶעֶשְׂתָה?
Makes the sentence unmistakably a question.