ACCEPTANCE RATE * 71%. Find the average SAT/ACT scores, acceptance rate, and your chances of getting in at Cappex.com Detailed Info on Bradley University Reviews, Financial Aid, Admissions, FAFSA/Federal School Code, Acceptance Rate, Campus Life, Scholarships for 2018-2019. Bradley University is a Private, 4 Year college located in Peoria, IL. SAT ... Bradley University offers the resources of a big school with the personalized attention of a smaller one.