Yes, RACE is a Scrabble word!

Letter values in Scrabble US: R 1, A 1, C 3, E 1.

Is it a valid word?

RACE is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

any competition
a contest of speed
people who are believed to belong to the same genetic stock
(biology) a taxonomic group that is a division of a species; usually arises as a consequence of geographical isolation within a species
the flow of air that is driven backwards by an aircraft propeller
a canal for a current of water

move fast
compete in a race
to work as fast as possible towards a goal, sometimes in competition with others
cause to move fast or to rush or race

Also: pelt along, rush along, cannonball along, bucket along, belt along, step on it.