Hellickson (4-2) scattered four hits, didn't issue a walk and struck out five for the Rays, who notched their second win in a three-game set against the Orioles.
Scott's three-run triple came during a five-run fifth inning that broke the game open. He then scored on a double by Jose Lobaton (3-for-4).
Ben Zobrist went 3-for-5 with an RBI and two runs scored in the victory.
Baltimore's Kevin Gausman (0-3) was lit up for seven runs on eight hits over 4 1/3 innings.