Jorge Gutierrez added 12 points and Amoke Omondi had 11 points and 14 rebounds for the Bears (5-3).
The two teams met as part of the Big 12/Pac-10 Hardwood Series, which is in its third year.
Iowa State cut Cal's lead to 47-42 with 15:05 left on Brackins' slam, but the Bears went on a 10-0 run, building a commanding 57-42 edge.
Iowa State entered the game shooting a sizzling 47.9 percent from 3-point range but made just 3 of 17 from beyond the arc against Cal.
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After a season that saw his shooting numbers slip, should Nigel Hayes return for his senior year at Wisconsin or take the gamble to put him name in this year's NBA draft?
Isaiah Taylor talks about his decision to declare for the NBA draft and what he will miss most about Texas.
Chattanooga women's basketball coach Jim Foster has received a one-year contract extension, the same day the school gave the men's coach a two-year extension.