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