### Instruction: At Academic Academy, to pass an algebra test you must score at least $80\%$. If there are 35 problems on the test, what is the greatest number you can miss and still pass?### Response: To pass the test, I need to get at least 80% of the problems correct.
That means I can miss up to 20% of the problems.
20% of 35 is 0.2 times 35, which is 7.
So the greatest number of problems I can miss and still pass is 7.