score vs equalize

score is a noun but equalize is not a noun.

Word	Noun	Adjective	Verb	Adverb
score	Yes	No	Yes	No
equalize	No	No	Yes	No

As verbs, equalize is a hyponym of score; that is, equalize is a word with a more specific, narrower meaning than score:

Other hyponyms of score include par, shoot, convert, homer, kick, eagle, hole up, ace, walk, equalise, get even, get, have, make.

score (noun)	equalize (noun)
the act of scoring in a game or sport
a seduction culminating in sexual intercourse
a number or letter indicating quality (especially of a student's performance)
the facts about an actual situation
a written form of a musical composition; parts for different instruments appear on separate staves on large pages
a resentment strong enough to justify retaliation
a set of twenty members
grounds
a number that expresses the accomplishment of a team or an individual in a game or contest
a slight surface cut (especially a notch that is made to keep a tally)
an amount due (as at a restaurant or bar)

score (verb)	equalize (verb)
assign a grade or rank to, according to one's evaluation	make equal, uniform, corresponding, or matching
make underscoring marks	compensate; make the score equal
gain points in a game
get a certain number or letter indicating quality or performance
make small marks into the surface of
induce to have sex
write a musical score for