The sentences that use an adverbial clause are:
- So that we would have enough left for tomorrow, we only used half of the vegetables in the salad.
- Javy was named captain of the team despite it being his first year on the team.
(Note: "despite it being his first year on the team" functions similarly to an adverbial clause, though it may also be interpreted as a prepositional phrase with a gerund.)
The first option clearly contains an adverbial clause, while the second option contains a clause that gives a reason related to the action, which can also function adverbially in context.