UCLA drained the shot clock and Drew beat Suggs off the dribble for a driving layup with 32.6 left that proved to be the clinching basket.
"We made an effort to play defense from the start," Muhammad said. "I think in the second half we really tightened it up and they had trouble scoring."
Kemp finished with 10 points for Washington, but eight of those came early. He was the only other Washington player in double figures.
"I don't have a lot to say. It was pretty obvious to our team and me where the difference in that game was. UCLA did a great job of forcing us into 19 turnovers, which they converted into 29 points," Washington coach Lorenzo Romar said. "They scored 61, so that's right at half of their points. It's similar to what happened at their place."