The bill would grant waivers to award diplomas to students as far back as 2006.
Another bill that aims to suspend the exit exam for three years is pending.
Governor will have 12 days to sign the bill after he receives it.
Bill to exempt class of 2015 seniors from exam heads to Senate on Monday.
Bill would remove high school exit exam requirement for class of 2015 seniors.
Students were left in limbo after the July test was cancelled.
The bill would suspend the law for three years starting with the class of 2015.
About 5,000 California seniors were eligible to take the test this summer.
The California high school exit exam would be suspended for several years and its role would be re-examined under a bill proposed last week by the chair of the Senate Education Committee.
About 95.5 percent of the class of 2014 passed the California High School Exit Exam, new results show, with gains posted in the number who pass on their first try in the sophomore year.
While the state’s standardized testing program is being revamped during the transition to the new Common Core State Standards, the fate of the high school exit exam – the one test students must pass – remains murky.