Question

if my grade average for algebra is at 76% (has to be at least 60% to pass) and I take a test worth 14% of my grade, but only score a 46% on it (lets say i live in Ohio) how bad would it affect my grade average? would i still meet the requirement?

Answer 1

To calculate how your test score will affect your overall grade average in algebra, you can use a weighted average formula. Here are the steps:

1. **Current Grade Before the Test**: Your current average is 76%, which represents 86% of your overall grade (since the test is worth 14%).

2. **Weight of Your Current Grade and Test**:
- Current grade weight: 86%
- Test weight: 14%

3. **Calculate the Contribution of Each Component**:
- Contribution of the current grade: \(0.76 \times 0.86 = 0.6536\) (or 65.36% of the total grade)
- Contribution of the test: \(0.46 \times 0.14 = 0.0644\) (or 6.44% of the total grade)

4. **Combine the Contributions** to find the new average:
\[
\text{New Average} = 0.6536 + 0.0644 = 0.7180 \text{ (or 71.80%)}
\]

So, after taking the test, your new average will be approximately **71.80%**.

5. **Conclusion**: Since 71.80% is above the 60% minimum required to pass, you will still meet the requirement.