1. The boat traveled k miles per hour for f hours and was 40 miles short of the goal when the gun went off. If the skipper tried again, how long would it take to reach the goal if she increased the rate of travel by 10 mph? 2. Evaluate (a) Arcsin 9! 5!4! 7. Sketch the graph of each function: (a) y = -x (b) y' = 1 8. Evaluate. Do not use a calculator. 1 2 Do not use a calculator. 12. Solve for x: 10. Factor: 49a4n+3 - 7q6n+5 4. Evaluate sin 30 - cos 300 + cos 180 + sin 90. Do not use a calculator. 5. Find the resultant of 7/20 + 5/36. Write the answer in polar coordinates. 6. Find four consecutive positive integers such that the product of the first two is 6 greater than the product of 3 and the fourth. 15. Simplify: 17. Solve: Write a two-column proof to prove: ACDA = ACDB 3. If f(x) y z3+6 (2)*** b 226-1 x = 4 |y + 3x = 2 (b) logs -X = 2 9. The graph of the function f(x)= is shown on the left below. The graph on the right is the same graph reflected in the x axis. Write the equation of the graph on the right. (b) Arcsin x 2 11. Simplify: 1 118.5 Simplify: (-) 10 4x - 5 b + A D (a) log* 49 = 2 125 (c) log1/4 x = 3 13. Jim is five years older than Dot. Twenty years ago, Dot was half as old as Jim is now. How old is Jim now? 14. Given: AC = BC CD LAB 1 2x 1 1 + 3 find the domain off. X C 16. Find the inverse function of y = 7x + 3. 3-3-2--16 + 55 1 + -16: 19. If f(x) = 2x - x + 3, find f(x+h)- f(x). 20. How much of a 70% alcohol solution and how much of a 30% alcohol solution should be mixed to make 5 liters of a 50% alcohol solution?