Amultiple choice math test consists of 50 questions. every student earns 2 points for each correct answer, -0.25 points for each incorrect answer, and 0 points for each question left unanswered. if a student answers 40 questions and gets 32 correct, how

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To find the amount of points the student received, we can write an equation.

In this question, we can use x to represent the number of questions.

We know that he answered 40 questions, and he got 32 correct. Therefore, the student got 8 questions incorrect.

40 - 32 = 8 questions

Since there was a total of 50 questions, and he answered 40 questions, he was unable to answer 10 questions.

50 - 40 = 10 questions

For every question correct, he gets 2 points. This can be shown by 2x.

For every question incorrect, he gets marked down 0.25 points, which is shown by -0.25x.

Finally, for every question he does not answer, he gets no points. This can be shown by 0x.

With that, we can write our expression.

2x + -0.25x + 0x

Now, let’s subsitute the number of questions he got correct, incorrect, or did not answer.

2(32) + -0.25(8) + 0(10)

64 + -2 + 0

62

Therefore, the student received 62 points.

62

Step-by-step explanation:

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