Reichel regained the lead for the Blackhawks, putting them up 2-1 at 5:23 on a sharp-angled shot from the bottom of the left circle through Hofer.
Holloway tied it 2-2 at 14:54 when he beat Soderblom with a wrist shot from the inside of the left circle.
The Blackhawks scored three times in a 6:03 span in the second period to surge ahead 5-2.
Reichel scored his second of the game at 2:49, tipping in a Alex Vlasic shot to make it 3-2.
Nazar pushed it to 4-2 at 4:32 when he skated past Neighbours and beat Hofer over his left shoulder.
Hofer was then pulled at 7:09 in favor of Binnington, who was beaten off the right boards by Dickinson on the short side to extend Chicago's lead to 5-2 at 8:52.
Hofer reentered the game for the third period, and Donato quickly made it 6-2 at 1:17 by punching in a loose puck in the crease.
Bertuzzi made it 7-2 at 5:03 with a power-play goal. After Robert Thomas was called for a double minor for high-sticking, Bertuzzi deflected Teuvo Teravainen's one-timer from the right circle past Hofer's right shoulder.
Tucker ended the run by making it 7-3 at 11:28 with a shot from above the left circle that caromed in off Chicago defenseman Wyatt Kaiser.
Greene, who was playing in his seventh NHL game, converted a rebound in the slot at 12:21 for the final score of 8-3.
“It was a lot of fun,” Nazar said. “Obviously, felt really sweet to go out there and put up a good number against a team like that, obviously a playoff-contending team. It was really good there.”