Answer:
We must complete some blanks here:
When we talk about us, we use "me" or "nos", when we talk directly to other people (like in "tú") we use "te" or "les", when we talk about someone that is not in the conversation we use "le" or "les".
1) A ti te gusta mucho tus materias.
This is incorrectly written, because materias is in plural and "gusta" in singular, the correct form of writting this is:
A ti te gustan mucho tus materias.
2) A mí no la residencia estudiantil.
Here the person is talking about himself/herself, and the object "residencia estudiantil" is in singular, so "me gusta" completes the blank.
A mí no me gusta la residencia estudiantil.
3) ¿A ti la administración de empresas?
Now the talker is asking another person and again, "administración de empersas" is a career, so is singular.
¿A ti te gusta la administración de empresas?
4) A mí las artes.
Again, the talker is talking about himself/herself, and the object now is plural "Las artes"
A mí me gustan las artes.
5) A ti viajar y bailar.
Now the person is "tú", and we have two singular objects "viajar y bailar" so the complete sentence is:
A ti te gusta viajar y bailar.
