Wes Welker then scored with just over 4 minutes remaining in the half on a 1-yard pass from Brady and the Patriots increased their lead on Gostkowski's 25-yard field goal on the final play before intermission.
New England outgained Baltimore 214 yards to 130 in the half. Brady completed 14 of 24 passes for 139 yards, while Flacco went 6 for 12 for 81 yards. Neither team committed a turnover.
The scoring pass to Bolden ended a drive on which Flacco completed five of six passes, the longest a 23-yarder to Torrey Smith.
The touchdown by Pitta capped the Ravens' best drive of the game, covering 87 yards in 10 plays. It started with a 15-yard defensive pass interference penalty. Then, Flacco completed six of his other nine passes on the series. Three of them went for first downs - 22 yards to Pitta, 15 to Rice and 12 to Bolden that gave the Ravens a first-and-goal at the Patriots 10-yard line.
Flacco then connected with Pitta for a 5-yard pass and finished the drive with another 5-yarder to Pitta, who easily beat single coverage by safety Steve Gregory.
The Patriots began the scoring on Gostkowski's kick, ending a 13-play, 67-yard drive during which Brady completed five of seven passes for 55 yards.
Rice's touchdown ended a 13-play, 90-yard drive that lasted 5:51. Flacco threw completions for first downs of 17 yards to Pitta, 11 yards to Rice, 8 yards to Bernard Pierce and 25 yards to Smith. With a first down at the Patriots 15-yard line, Rice ran for 8 and 5 yards, giving the Ravens a first down at the 2.
After Flacco threw an incompletion out of bounds, Rice took a handoff, ran to the left and scored easily.
Welker's touchdown came 4:18 before intermission and capped an 11-play, 79-yard drive. He scored on a pass to the right as cornerbacks Corey Graham and Chykie Brown appeared to get crossed up on their assignments.
On the first play of the series, Baltimore's Dannell Ellerbe was penalized 15 yards for a blow to the head. Then a 24-yard completion from Brady to Welker gave the Patriots a first down at the Ravens 16-yard line.