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?

1 answer

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%.

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