To pass the test, a student must score at least 80% correct.
This means they can miss at most 20% of the problems.
20% of 35 problems is 0.20 * 35 = 7 problems.
Therefore, the maximum number of problems a student can miss and still pass is \boxed{7}.The answer is: 7
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
At Academic Academy, in order to pass an algebra test, a student must score at least 80% correct. The test consists of 35 problems. What is the maximum number of problems a student can miss and still pass?

### Answer:
