With his second straight win, Prescott doubled the number of victories the Cowboys (2-1) had in 14 games without injured quarterback Tony Romo over three seasons before the rookie fourth-round pick showed up.
Prescott's first TD pass was a 17-yarder to Dez Bryant for a 31-10 lead in the fourth quarter, and he's up to 99 throws without an interception to start his career. Philadelphia rookie Carson Wentz has 102, and those are the two highest career-opening totals in NFL history.
Brian Hoyer had trouble moving the Chicago offense early with Jay Cutler sidelined by a sprained right thumb as the Bears fell behind 24-3 at halftime and dropped to 0-3 for the second time in two seasons under coach John Fox.
Making his 27th career start for his fourth different team, Hoyer was 30 of 49 for 317 yards — a good portion of that with the game out of each late in the fourth quarter — and threw for two scores to Zach Miller.
Rookie fourth overall pick Ezekiel Elliott had his first 100-yard game for Dallas, finishing with 140 yards on 30 carries and a 14-yard run when he hurdled safety Chris Prosinski.
It didn't even bother Prescott that Pro Bowl left tackle Tyron Smith missed just the second game of his six-year career after his back tightened up during the week.
Prescott was 19 of 24 for 248 yards in Dallas' first home win since last year's opener, which was a week before the first of two broken left collarbones that kept Romo out of 12 games last season. Romo is expected to miss about another month after breaking a bone in his back in the preseason.
Prescott had one of three rushing touchdowns for the Cowboys, who have seven this season after getting eight all of last year, when they finished 4-12.
Because the Bears fell behind again, they couldn't do much with the running game. They had just 15 carries for 73 yards and lost leading rusher Jeremy Langford to an ankle injury in the second half.
