Price (3-1) struck out nine and walked one in his first complete game. He improved to 9-1 in his career against the AL East.
Carlos Pena opened the fifth by drawing Tampa Bay's sixth walk off Brandon Morrow (1-2) and then went to third when B.J. Upton got the Rays' first hit, a double to right. After Pat Burrell struck out, Jaso hit a two-run single.
Pena added a run-scoring double and Bartlett drove in a pair with a double during the Rays' four-run eighth as Tampa Bay took two of three in winning its ninth straight home series against the Blue Jays.
Blue Jays catcher Jose Molina threw out a runner trying to steal second — including Carl Crawford twice — in each of the first four innings. The four runners thrown out attempting to steal in the same game by Molina set a Toronto team record.
It was the first time a catcher has thrown out four runners attempting to steal in one game since Florida's Charles Johnson did it against Montreal on Sept. 18, 2002.
Tampa Bay entered with 21 stolen bases in 27 attempts. It was the first time in franchise history that the Rays had four runners caught stealing in one game.
Morrow went six innings, giving up two runs and three hits. He struck out eight and walked six.
Jaso, filling in for the injured Dioner Navarro, hit his first major league homer and had three RBIs in Tampa Bay's 9-3 win over the Blue Jays on Saturday.
Price retired 12 in a row before Jose Bautista singled with one out in the seventh. The left-hander got defensive help in the eighth when third baseman Evan Longoria started a double play by diving to his left to field John McDonald's grounder.
Longoria had an RBI single in the bottom of the eighth.
Notes
Tampa Bay has outscored its opponents 24-9 in the eighth this season. … Navarro was out of the lineup for the second straight game due to lower right leg soreness. … Burrell returned after missing the previous two games with a stiff upper back. … Cuban SS prospect Adeiny Hechavarria worked out with the Blue Jays before the game. The 21-year-old is playing with Toronto's extended spring training team. … Tampa Bay LHP J.P. Howell (strained left shoulder) threw at 60 feet on flat ground. The reliever is expected to be out until mid to late May.