All except 3-2 are fine.
3-2 is wordy; you don't need "to go."
5 is awkward, but basically all right. Using "on" instead of "by" would be better.
1. I went to school by bike.
2. I went to school on a bike.
3. I rode a bike to school.
3-2. I rode a bike to go to school.
4. I took a bike to school.
5. I went to school by my brother's bike.
[Which ones are grammatical, and which ones are unacceptable?]
1 answer