Instructions
Complete the following math problems to the best of your ability. Show your work for each question where applicable.
Part A: Algebra
1. Solve for x in the equation: 3x + 5 = 20
2. If 2y - 6 = 10, what is the value of y?
Part B: Geometry
3. Calculate the area of a triangle with a base of 10cm and a height of 5cm.
4. A rectangle has a length of 12cm and a width of 7cm. What is the perimeter of the rectangle?
Part C: Data Interpretation
5. The following data shows the number of books read by a group of students in a month:
- Student A: 4 books
- Student B: 6 books
- Student C: 2 books
- Student D: 5 books
Calculate the average number of books read by the students.
Part D: Word Problems
6. Emily has twice as many apples as Jack. If Jack has 4 apples, how many apples does Emily have?
7. A car travels 60 miles per hour. How long will it take to travel 180 miles?
Part E: Challenge Problem
8. If the sum of three consecutive integers is 72, what are the integers?