Instructions
Answer the following questions to the best of your ability. Make sure to show your work where applicable.
Part 1: Algebra
1. Solve for x: 3x + 5 = 20
2. If the area of a rectangle is 54 square units and the length is 9 units, what is the width?
Part 2: Geometry
3. Calculate the circumference of a circle with a radius of 7 cm. (Use π ≈ 3.14)
4. What is the sum of the interior angles of a triangle?
Part 3: Data and Statistics
5. If the data set consists of the numbers: 4, 8, 6, 5, 3, what is the mean?
6. Create a simple bar graph to represent the following data: A: 5, B: 3, C: 8, D: 2
Part 4: Word Problems
7. Sarah has twice as many apples as John. If John has 6 apples, how many apples does Sarah have?
8. A car travels 60 miles in 1 hour. How long will it take to travel 180 miles?
Part 5: Challenge Question
9. A train leaves the station traveling at a speed of 80 miles per hour. After 2.5 hours, how far has the train traveled?
10. Write a short paragraph explaining why mathematics is important in everyday life.