In Mariah's algebra course, homework counts 20% of the grade, quizzes count 10% of the grade, tests count 40% of the grade, and the final exam counts 30% of the grade. Mariah has a 97.85% average for homework, 92.05% for quizzes, and 74.37% for tests.

To calculate Mariah's overall grade in her algebra course, we will use a weighted average based on the percentage breakdown of each component.

The weights are as follows:
- Homework: 20%
- Quizzes: 10%
- Tests: 40%
- Final exam: 30%

Mariah's current scores are:
- Homework: 97.85%
- Quizzes: 92.05%
- Tests: 74.37%
- Final exam: not provided yet (let's call it \( x \)).

The formula for the weighted average is:

\[
\text{Overall Grade} = (\text{Homework score} \times 0.20) + (\text{Quiz score} \times 0.10) + (\text{Test score} \times 0.40) + (\text{Final Exam score} \times 0.30)
\]

Substituting the known values:

\[
\text{Overall Grade} = (97.85 \times 0.20) + (92.05 \times 0.10) + (74.37 \times 0.40) + (x \times 0.30)
\]

\[
\text{Overall Grade} = 19.57 + 9.21 + 29.75 + (x \times 0.30)
\]

\[
\text{Overall Grade} = 58.53 + (x \times 0.30)
\]

Now, her overall grade depends on her final exam score \( x \).

Would you like me to solve for a specific final exam score, or explore how different exam scores might affect her overall grade?

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Here are 5 questions that relate to this:

1. What score does Mariah need on the final exam to achieve a 90% overall grade?
2. What is the lowest score she can get on the final exam and still pass with a 70% overall?
3. How would the overall grade change if the quiz weight was higher than 10%?
4. What if her test average was 80% instead of 74.37%?
5. How would her overall grade be impacted if she didn’t take the final exam?

**Tip:** When calculating weighted averages, always ensure that the sum of the weights equals 100%.

Learn how to calculate Mariah's overall grade in her algebra course using weighted averages. With homework counting for 20%, quizzes 10%, tests 40%, and the final exam 30%, this example uses actual percentage scores for homework (97.85%), quizzes (92.05%), and tests (74.37%). Suitable for Grades 8-10 students.

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