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Andrew is taking a multiple choice test with a total of 80 points available. Each question is worth exactly 2 points. What would be Andrew's test score (out of 80) if he got 8 questions wrong? What would be his score if he got x questions wrong?

User Andreasgk
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Final answer:

Andrew's test score would be 64 out of 80 if he got 8 questions wrong. For a general case, if he got x questions wrong, his score would be calculated as 80 - 2x points.

Step-by-step explanation:

Andrew is taking a multiple-choice test that has a total of 80 points with each question worth exactly 2 points. If he got 8 questions wrong, first, we need to calculate the number of questions in the test. Since the total points are 80 and each question is 2 points, there are 40 questions in total (80 points / 2 points per question).

Each wrong answer results in a loss of 2 points, so if Andrew got 8 questions wrong, he would lose 16 points (8 questions × 2 points per question). To find Andrew's score, we subtract the lost points from the total points available which gives us 64 points (80 points - 16 points).

To generalize this for any number x of questions wrong, the formula would be:

Score = Total points - (Number of questions wrong × Points per question)

We apply the formula: Score = 80 points - (x questions wrong × 2 points per question).

So, the final score if Andrew got x questions wrong would be 80 - 2x points.

User SherinThomas
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