Instructions
Answer each question to the best of your ability. Show your work where necessary. Good luck!
1. Solve for x: 3(2x - 5) = 4(x + 3)
2. A bakery sells 250 loaves of bread at $2 each. If they increase the price by 10%, how many loaves must they sell to maintain the same revenue?
3. In a triangle, the measure of angle A is 30 degrees. If side a is 6 meters, what is the length of side b if angle B is 45 degrees? Use the Law of Sines.
4. A car travels from Town A to Town B at 60 km/h and returns at 40 km/h. What is the average speed for the entire trip?
5. Simplify the expression: (4x^2 + 2x - 6) / (2x^2 - 3x + 1)
6. A rectangular room has dimensions 8m by 6m by 3m. What is the volume of the room?
7. A cyclist travels 1.5 km in 3 minutes. What is their speed in km/h?
8. Solve the equation: 2^x = 16^(-1/4)
9. A company's profit increases by 15% each year. If the current profit is $100,000, what will be the profit in 5 years?
10. A ladder leaning against a wall makes an angle of 60 degrees with the ground. If the ladder is 10m long, how high does it reach on the wall?
Good work! Take your time and check each step carefully.