minimum wage vs wage

minimum wage and wage both are nouns.

Word	Noun	Adjective	Verb	Adverb
minimum wage	Yes	No	No	No
wage	Yes	No	Yes	No

As nouns, wage is a hypernym of minimum wage; that is, wage is a word with a broader meaning than minimum wage:

minimum wage: the lowest wage that an employer is allowed to pay; determined by contract or by law
wage: something that remunerates

Other hypernyms of minimum wage include earnings, pay, remuneration, salary.

minimum wage (noun)	wage (noun)
the lowest wage that an employer is allowed to pay; determined by contract or by law	something that remunerates

minimum wage (verb)	wage (verb)
	carry on (wars, battles, or campaigns)