Your test scores in one class are 82 and 88. what possible scores can you earn on your next test to have a test average between 85 and 90, inclusive?

You have to score at least an 85 and no higher than 100 to have a test average between an 85 and 90. 
Therefore you can get a:
85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100