Question

What do you do after school?

1. I go to an art academy to practice painting.

2. I go to a math academy to study math hard.

3. I go to an English academy to practice speaking with a native speaker.

(Are they all correct? Can we use 'provate institute' instead of 'academy'?)

4. art academy
5. art institute
6. art private institute
7. art school
(Are they all correct? Which one is commonly used?)

Answer 1

Be sure to spell "private" correctly #6 perhaps "private art institute" is better word order.

Sra

Answer 2

I would eliminate "hard" in #2.