seven-up vs high-low-jack

seven-up and high-low-jack both are nouns.

Word	Noun	Adjective	Verb	Adverb
seven-up	Yes	No	No	No
high-low-jack	Yes	No	No	No

As nouns, high-low-jack is a hypernym of seven-up; that is, high-low-jack is a word with a broader meaning than seven-up:

seven-up: a form of all fours in which a total of seven points is game
high-low-jack: card games in which points are won for taking the high or low or jack or game

Other hypernyms of seven-up include all fours.

seven-up (noun)	high-low-jack (noun)
a form of all fours in which a total of seven points is game	card games in which points are won for taking the high or low or jack or game