Scola led Phoenix with 10 first-quarter points, then Beasley had 14 in the second, shooting 7 for 8, as the Suns led 49-42 at the break.
Beasley's 20 points marked his best output since scoring 21 against the Clippers on Dec. 8.
"I was shooting tonight like I really wanted to make it," Beasley said. "It is the first time in a long time I have felt that way and had the confidence."
Chicago was whistled for four technical fouls, capped by coach Tom Thibodeau's penalty with 3:57 left in the fourth. Nate Robinson was issued one minutes earlier, and Boozer and Luol Deng were each given technicals in the third.
"We just got frustrated," Boozer admitted. "It wasn't the refs' fault, it was on us. Usually we don't lose our composure like that."
Boozer was held without a field goal for the first 22 minutes, and Chicago missed all four of its 3-point attempts in the first half.
The Bulls shot 36.4 percent from the floor and 18.2 percent from range, matching a season-low by hitting just two 3s.
"We have to play with more intensity, more of an edge," Thibodeau said. "We are not doing that. We have to correct it."
NOTES: Gentry said Dudley will need an X-ray on his right hand to determine the extent of the injury. . Chicago-area native Shannon Brown had 11 points starting in place of Dudley. . Banged up Bulls G Kirk Hinrich had one point and three assists in 23 minutes. Thibodeau said prior to the game that Hinrich will continue to be day-to-day as he manages an array of injuries.