Question Moussa is taking a multiple Video choice test with a total of 50 points available. Each question is worth exactly 2 points. What would be Moussa's test score (out of 50 ) if he got 5 questions wrong? What would be his score if he got $$ x $$ questions wrong?

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UpStudy AI · Accepted Answer

To determine Moussa's test score based on the number of questions he gets wrong, let's break down the problem step by step.

### **Given:**
- **Total Points:** 50
- **Points per Question:** 2
- **Total Number of Questions:** $$ \frac{50 \text{ points}}{2 \text{ points/question}} = 25 \text{ questions} $$

### **When Moussa Gets 5 Questions Wrong:**
1. **Number of Correct Answers:**
   $$
   \text{Correct Answers} = \text{Total Questions} - \text{Wrong Answers} = 25 - 5 = 20 \text{ questions}
   $$
2. **Calculating the Score:**
   $$
   \text{Score} = \text{Correct Answers} \times \text{Points per Question} = 20 \times 2 = 40 \text{ points}
   $$

**So, Moussa scores **40 out of 50** points** if he gets 5 questions wrong.

### **When Moussa Gets $$ x $$ Questions Wrong:**
1. **Number of Correct Answers:**
   $$
   \text{Correct Answers} = 25 - x
   $$
2. **Calculating the Score:**
   $$
   \text{Score} = (25 - x) \times 2 = 50 - 2x
   $$

**Therefore, Moussa's score is **$$ 50 - 2x $$** out of 50** if he gets $$ x $$ questions wrong.

### **Summary:**
- **5 Wrong Answers:** $$ 40 $$ out of $$ 50 $$ points.
- **$$ x $$ Wrong Answers:** $$ 50 - 2x $$ out of $$ 50 $$ points.

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**Example Calculation:**

If Moussa gets **3 questions wrong**:
$$
\text{Score} = 50 - 2(3) = 50 - 6 = 44 \text{ points}
$$
If Moussa gets 5 questions wrong, he scores 40 out of 50 points. If he gets $$ x $$ questions wrong, his score is $$ 50 - 2x $$ out of 50 points.

Question Moussa is taking a multiple Video choice test with a total of 50 points available. Each question is worth exactly 2 points. What would be Moussa's test score (out of 50 ) if he got 5 questions wrong? What would be his score if he got \( x \) questions wrong?

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