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:
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Current Grade Before the Test: Your current average is 76%, which represents 86% of your overall grade (since the test is worth 14%).
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Weight of Your Current Grade and Test:
- Current grade weight: 86%
- Test weight: 14%
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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)
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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%.
- Conclusion: Since 71.80% is above the 60% minimum required to pass, you will still meet the requirement.