Jeff Elorriaga scored a career-best 17 points and Igor Hadziomerovic added 15 for the Broncos (2-0), who thwarted a second-half charge by the Golden Grizzlies.
Duke Mondy scored 21 points and Corey Petros had 17 points and 12 rebounds for Oakland (1-2).
Elorriaga hit three 3-pointers over the first six-plus minutes of the second half as Boise State used a 19-4 surge to open a 59-44 lead.
The Broncos still led by 14 with 9 1/2 minutes to play before the Golden Grizzlies rolled off nine consecutive points to pull within 69-64 on a 3-pointer by Mondy with 7:51 remaining.
But Marks drove for two baskets as Boise State answered with six consecutive points to push the lead back to 11.
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