rate vs evaluate

rate is a noun but evaluate is not a noun.

Word	Noun	Adjective	Verb	Adverb
rate	Yes	No	Yes	No
evaluate	No	No	Yes	No

As verbs, evaluate is a hypernym of rate; that is, evaluate is a word with a broader meaning than rate:

Other hypernyms of rate include judge, pass judgment.

As verbs, evaluate is a hypernym of rate; that is, evaluate is a word with a broader meaning than rate:

rate: estimate the value of
evaluate: evaluate or estimate the nature, quality, ability, extent, or significance of

Other hypernyms of rate include appraise, assess, measure, valuate, value.

rate (noun)	evaluate (noun)
the relative speed of progress or change
amount of a charge or payment relative to some basis
a quantity or amount or measure considered as a proportion of another quantity or amount or measure
a magnitude or frequency relative to a time unit

rate (verb)	evaluate (verb)
assign a rank or rating to	evaluate or estimate the nature, quality, ability, extent, or significance of
estimate the value of	form a critical opinion of
be worthy of or have a certain rating