QuestionA student loses 3 points for each wrong answer. If they got 6 wrong:
a) How many points lost? b) What is their score out of 100?
a) Points lost: $-3 \times 6$ .

Studdy Solution

STEP 1

Assumptions1. The student answered six questions incorrectly. . Each incorrect answer results in a loss of three points.
3. The total points of the test is100.
4. The student's score is calculated by subtracting the points lost from the total points.

STEP 2

First, we need to find the total points the student lost due to incorrect answers. We can do this by multiplying the number of incorrect answers by the points lost per incorrect answer.
$Points\, lost = Number\, of\, incorrect\, answers \\times Points\, lost\, per\, incorrect\, answer$

STEP 3

Now, plug in the given values for the number of incorrect answers and points lost per incorrect answer to calculate the points lost.
$Points\, lost =6 \\times3$

STEP 4

Calculate the total points lost.
$Points\, lost =6 \\times3 =18$ This is the answer to part a) of the problem. The student lost18 points. To represent this as a negative number, we write it as -18.

STEP 5

Now that we have the points lost, we can find the student's score. This is done by subtracting the points lost from the total points of the test.
$Score = Total\, points - Points\, lost$

STEP 6

Plug in the values for the total points and the points lost to calculate the score.
$Score =100 -18$

STEP 7

Calculate the student's score.
$Score =100 -18 =82$ This is the answer to part b) of the problem. The student's score is82.

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QuestionA student loses 3 points for each wrong answer. If they got 6 wrong:
a) How many points lost? b) What is their score out of 100?
a) Points lost: $-3 \times 6$ .

Studdy Solution

STEP 1

Assumptions1. The student answered six questions incorrectly. . Each incorrect answer results in a loss of three points.
3. The total points of the test is100.
4. The student's score is calculated by subtracting the points lost from the total points.

STEP 2

First, we need to find the total points the student lost due to incorrect answers. We can do this by multiplying the number of incorrect answers by the points lost per incorrect answer.
$Points\, lost = Number\, of\, incorrect\, answers \\times Points\, lost\, per\, incorrect\, answer$

STEP 3

Now, plug in the given values for the number of incorrect answers and points lost per incorrect answer to calculate the points lost.
$Points\, lost =6 \\times3$

STEP 4

Calculate the total points lost.
$Points\, lost =6 \\times3 =18$ This is the answer to part a) of the problem. The student lost18 points. To represent this as a negative number, we write it as -18.

STEP 5

Now that we have the points lost, we can find the student's score. This is done by subtracting the points lost from the total points of the test.
$Score = Total\, points - Points\, lost$

STEP 6

Plug in the values for the total points and the points lost to calculate the score.
$Score =100 -18$

STEP 7

Calculate the student's score.
$Score =100 -18 =82$ This is the answer to part b) of the problem. The student's score is82.

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QuestionA student loses 3 points for each wrong answer. If they got 6 wrong:a) How many points lost? b) What is their score out of 100?a) Points lost: −3×6-3 \times 6−3×6.

Studdy Solution

STEP 1

Assumptions1. The student answered six questions incorrectly. . Each incorrect answer results in a loss of three points.3. The total points of the test is100.4. The student's score is calculated by subtracting the points lost from the total points.

STEP 2

STEP 3

Now, plug in the given values for the number of incorrect answers and points lost per incorrect answer to calculate the points lost.Points lost=6times3Points\, lost =6 \\times3Pointslost=6times3

STEP 4

Calculate the total points lost.Points lost=6times3=18Points\, lost =6 \\times3 =18Pointslost=6times3=18This is the answer to part a) of the problem. The student lost18 points. To represent this as a negative number, we write it as -18.

STEP 5

Now that we have the points lost, we can find the student's score. This is done by subtracting the points lost from the total points of the test.Score=Total points−Points lostScore = Total\, points - Points\, lostScore=Totalpoints−Pointslost

STEP 6

Plug in the values for the total points and the points lost to calculate the score.Score=100−18Score =100 -18Score=100−18

STEP 7

Calculate the student's score.Score=100−18=82Score =100 -18 =82Score=100−18=82This is the answer to part b) of the problem. The student's score is82.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionA student loses 3 points for each wrong answer. If they got 6 wrong:
a) How many points lost? b) What is their score out of 100?
a) Points lost: $-3 \times 6$ .

Assumptions1. The student answered six questions incorrectly. . Each incorrect answer results in a loss of three points.
3. The total points of the test is100.
4. The student's score is calculated by subtracting the points lost from the total points.

Now, plug in the given values for the number of incorrect answers and points lost per incorrect answer to calculate the points lost.
$Points\, lost =6 \\times3$

Calculate the total points lost.
$Points\, lost =6 \\times3 =18$ This is the answer to part a) of the problem. The student lost18 points. To represent this as a negative number, we write it as -18.

Now that we have the points lost, we can find the student's score. This is done by subtracting the points lost from the total points of the test.
$Score = Total\, points - Points\, lost$

Plug in the values for the total points and the points lost to calculate the score.
$Score =100 -18$

Calculate the student's score.
$Score =100 -18 =82$ This is the answer to part b) of the problem. The student's score is82.