hooray vs cheer

hooray and cheer both are nouns.

Word	Noun	Adjective	Verb	Adverb
hooray	Yes	No	No	No
cheer	Yes	No	Yes	No

As nouns, cheer is a hypernym of hooray; that is, cheer is a word with a broader meaning than hooray:

hooray (noun)	cheer (noun)
a victory cheer	the quality of being cheerful and dispelling gloom
	a cry or shout of approval

hooray (verb)	cheer (verb)
	become cheerful
	spur on or encourage especially by cheers and shouts
	show approval or good wishes by shouting
	cause (somebody) to feel happier or more cheerful
	give encouragement to