Kevin Gausman (3-1) got the win, tossing six innings of five-hit shutout ball. He struck out five and walked one to win his third straight start. The right- hander has been stellar over that period, yielding only two runs in 19 innings.
Pearce and J.J. Hardy had two hits apiece for the Orioles, who took two of three from the Rays.
Alex Cobb (2-5) was the tough-luck loser for Tampa, which has dropped two in a row. The right-hander allowed one unearned run on four hits over seven frames. He struck out six and walked four.
The Orioles finally broke the scoreboard in the fifth and did so thanks to a two-out fielding error by Ben Zobrist at second base. The miscue allowed Nick Markakis to reach base and then score when Pearce followed with a double.
The unearned run didn't phase Cobb, who cruised through the rest of his afternoon. However, the Rays' bullpen had a hiccup in the eighth as Cruz greeted reliever Kirby Yates with a solo homer to double the lead.