UCLA (21-10) got off to a fast start, withstood a late first-half run and held the Cardinal at arm's length in the second half.
Holliday and Thomas Welsh carried most of the load, leading the Bruins into Friday's semifinals against No. 15 Arizona. Welsh had 18 points and 11 rebounds. Holliday made 12 of 25 shots, including 5 of 9 from the 3-point arc.