Final answer:
The item with a dependent-word fragment is option a. 'Even if I study all night,' as it depends on a main clause to form a complete sentence.
Step-by-step explanation:
To determine which item contains a dependent-word fragment, we need to look for a group of words that does not express a complete thought and cannot stand alone as a sentence. A dependent clause, or a fragment, often begins with a conjunction like 'because,' 'if,' or 'when,' or with a relative pronoun like 'who,' 'which,' or 'that.' In this case, option a. contains a fragment: 'Even if I study all night.' It is dependent on the main clause and cannot stand on its own as a sentence. The correct option is a, and this turns it into a dependent clause fragment when it is separated from the main clause with a period instead of a comma.