Instructions
Read each question carefully and answer to the best of your ability. Make sure to show your work for any calculations!
Part 1: Algebra
1. Solve the equation for x: 3x + 5 = 20
2. If the expression 2x² - 4x + 6 represents a quadratic function, find the value of f(2).
Part 2: Fractions
3. Simplify the following fraction: 15/45
4. Calculate the sum of 1/4 and 2/3.
Part 3: Geometry
5. A triangle has a base of 10 cm and a height of 5 cm. Calculate the area of the triangle.
6. If the radius of a circle is 7 cm, what is the circumference? (Use π ≈ 3.14)
Part 4: Word Problems
7. A bookstore sells 3 types of books: fiction, non-fiction, and children’s books. If the ratio of fiction to non-fiction to children’s books is 2:3:5, how many books of each type are there if there are a total of 100 books?
8. Maria bought three notebooks and five pens for a total of $8.00. If each notebook costs $1.50, how much does each pen cost?
Part 5: Challenge Problem
9. If the sum of three consecutive integers is 72, what are the integers?