Yes, "fast learner" is typically hyphenated when used as a compound adjective before a noun, as in "fast-learning student." However, when used as a noun on its own, it is usually not hyphenated, as in "She is a fast learner." The hyphen helps clarify that the two words work together to modify the noun.
It is not hyphenated.
Motorcycle is not hyphenated
No it's not hyphenated.
words are only hyphenated when they have a separate meaning when separated than they do when hyphenated
Yes it should be hyphenated.
No, "hardworking" is not hyphenated.
It can be. Some words can be seen both hyphenated and non-hyphenated.
No. Well above is not hyphenated.
peace of mind is not hyphenated.
No, "homework" shouldn't be hyphenated.
Yes it should be hyphenated.
No they shouldn't be hyphenated.