Final answer:
Jeff answered 44 questions correctly out of a total of 52 questions on the exam.
Step-by-step explanation:
Let's suppose Jeff answered x questions correctly out of y total questions on the exam. Since each correct answer gets him 2 points, Jeff would earn 2x points for his correct answers.
On the other hand, he didn't answer two questions, so he didn't earn any points for those. In addition, he missed six questions resulting in a deduction of 6 points (6 * -1) for incorrect answers.
Based on the given information, the total points Jeff received on the test is 82. We can set up an equation:
- 2x - 6 = 82
Solving this equation, we find that x = 44. Therefore, Jeff answered 44 questions correctly. To calculate the total number of questions on the exam (y), we can subtract the unanswered questions from the total questions answered:
- y - (2 + 6) = 44
By simplifying this equation, we find that y = 52. Therefore, there were 52 questions on the exam.