Tara could not wait for summer.
An independent clause can be it's own sentence, while a dependent clause could not.
The full sentence could be:
Tara could not wait for summer as she was tired of doing homework.
The dependent clause would be ’as she was tried of homework’ because that can't be it's own sentence because it doesn't form a complete thought.
’Tara could not wait for summer’ is an independent clause because it has both a subject and a verb.