rival vs equate

rival is a noun but equate is not a noun.

Word	Noun	Adjective	Verb	Adverb
rival	Yes	Yes	Yes	No
equate	No	No	Yes	No

rival (noun)	equate (noun)
the contestant you hope to defeat

rival (adjective)	equate (adjective)
as a rival in a competition

rival (verb)	equate (verb)
be the rival of, be in competition with	make equal, uniform, corresponding, or matching
be equal to in quality or ability	consider or describe as similar, equal, or analogous
	be equivalent or parallel, in mathematics