Math Problem Statement

A mathematics quiz consists of 50 questions. 3 marks are awarded for each correct answer and 1 mark is deducted for each wrong answer. No marks are awarded or deducted for an unanswered question. Reiner left 4 questions unanswered and scored a total of 62 marks. (a) If x is the number of correct answers, write down an expression for the number of incorrect answers.

Solution

This problem provides the following information:

  • There are 50 questions in total.
  • Reiner left 4 questions unanswered.
  • For each correct answer, 3 marks are awarded.
  • For each incorrect answer, 1 mark is deducted.
  • No marks are awarded or deducted for unanswered questions.
  • Reiner scored a total of 62 marks.

We are asked to find an expression for the number of incorrect answers, given that xx represents the number of correct answers.

Approach:

  • Reiner attempted 504=4650 - 4 = 46 questions (since 4 were unanswered).
  • Therefore, if Reiner got xx questions correct, the number of incorrect answers is: 46x46 - x

Thus, the expression for the number of incorrect answers is 46x46 - x.

Do you need further clarifications, or would you like to proceed with the next part of this problem?

Here are 5 related questions you might find helpful:

  1. How can we form an equation to represent Reiner’s total score based on correct and incorrect answers?
  2. What would be Reiner’s score if he answered all 46 questions correctly?
  3. How does leaving questions unanswered affect the total marks in this scenario?
  4. How can we find the exact number of correct and incorrect answers from the information provided?
  5. What happens to the total score if Reiner answered all questions but got some wrong?

Tip: In problems involving scores and penalties, setting up equations with expressions for correct and incorrect responses helps structure the solution clearly.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Expression for incorrect answers: 46 - x

Theorems

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Suitable Grade Level

Grades 7-9