ballet vs concert dance

ballet and concert dance both are nouns.

Word	Noun	Adjective	Verb	Adverb
ballet	Yes	No	No	No
concert dance	Yes	No	No	No

As nouns, ballet and concert dance are synonyms defined as:

ballet and concert dance: a theatrical representation of a story that is performed to music by trained dancers

ballet (noun)	concert dance (noun)
a theatrical representation of a story that is performed to music by trained dancers	a theatrical representation of a story that is performed to music by trained dancers
music written for a ballet