https://file.aiquickdraw.com/mathbot/file/172702582327638emgpw1.pdf

make me 20 practice questions based on these 

Here are 20 practice questions inspired by the types of problems from your materials and observations:

### Scatter Plot and Data Analysis:
1. Create a scatter plot to compare the hours studied and scores on a math test. Identify the trend and describe it.
2. If a student studies for 9 hours, use a scatter plot model to predict their test score.
3. What happens to the reliability of the model predicting scores beyond 10 hours of studying? Explain why.
4. Analyze a scatter plot showing the relationship between time spent exercising and calories burned. What trend do you expect to see?
5. Use a scatter plot to compare the age of cars with their resale value. Predict how this trend might change after 15 years.
6. Explain why a scatter plot is the best choice for displaying the relationship between height and weight in a group of people.
7. Can a scatter plot be used to predict election results based on past voting patterns? Why or why not?
8. What conclusion can be drawn from a scatter plot if the points are randomly scattered with no visible pattern?

### Categorical Data and Bar/Pie Charts:
9. Which graph type (bar chart, pie chart, scatter plot) would you use to show the distribution of students’ favorite school subjects? Why?
10. What chart would best represent a survey asking how students want to vote for class president, and why?
11. Design a bar chart showing how many people attended five consecutive school football games. How does attendance change over time?
12. Explain why a pie chart might not be the best choice for representing how many students scored between 75% and 80% on a test.
13. How would you modify a pie chart to show the percentage of voters supporting each candidate in a close election?

### Algebra and Functions:
14. Solve for \( y \) as a function of \( x \) in the equation \( 3x + 4y = 8 \).
15. If \( h = vt - 16t^2 \), solve for \( v \).
16. Solve for \( m \) in the equation \( K = \frac{1}{2} mv^2 \).
17. Write \( y \) as a function of \( x \) in the equation \( -2(2x + y) = 28 \).
18. Solve for \( \pi \) in the equation \( A = 2\pi r^2 + 2\pi rh \).
19. Solve for \( R \) in the equation \( \frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2} \).
20. Find \( P \) in the equation \( D = \frac{11}{5}(P - 15) \).

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Would you like to go over any of these or need more details?

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**Tip**: When analyzing trends in scatter plots, always check if the data fits a linear or non-linear

make me 20 practice questions based on these

Explore 20 practice questions that cover essential algebraic concepts like solving for variables, functions, and quadratic equations. You'll also find questions on scatter plots and data analysis. These problems are tailored for students in Grades 8-10 and include real-world applications and mathematical models.

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