Honors Advanced Math II/Advanced Math II This packet will be used to assess your algebra I, algebra II and geometry skills. The packet will be due on __________________ All problems should be completed with all work shown on a separate sheet of paper. No work = No credit. Put only your final answer on the worksheet. Keep your work neat and organized. This material will be on the first assessment. Questions??? Ask your teacher if you are not sure how to do one of the topics. Some class time will be available for questions or go after school for extra help. This is a review packet. You should already know how to do these worksheets. Simplify 2. 2 8 13 2 3 6 2 1. 32 9 6 3 3. 3 2 3 2 2 1 9 2 4. 5. 4 8 62 4 3 2 8 4 3x 2 y 5 7. 4 8 2x y 3 2 2 2 2 2 2 4 3 2 2 2 5 3 6. 4 8 6 2 4 3 2 8 4 2 3 4 8. c2 f cd 5 3 2 2 9. 1 x 0 y0 x 0 y0 1 10. 3ab 3 4ac2 c 4ab 5a 3b2 c 11. 4c2 5 c 11 6c2 17 4c 2 12. 6m 3 3mn 13m 5n 13. 5x 3y2x y 14. x 8 y10 x11y9 x10 y6 15. 2a2 6 2 16. 6x2y = z + 7x2y, 2 17. V r h solve this equations for y. A. Solve for h B. Solve for r 18. 10kpq – q = 2kp + 3q, 19. F G Mm r2 solve this equations for q. solve for M Simplify (radical form) 20. A. 21. 23. 3 4 0.0625 B. 32x 4 3 500x 4 3 5 8a b 22. 24. 3 9 64 x y 7 3 343 5 2 3 3 25. 72 1 2 Solve the equations 26. 2c 3 7 0 27. 2 4 21 6c 6 Solve the inequalities and graph 28. 8 3t 4 3 t 29. 2 d 4 5 5 d 3 Solve and graph each absolute value 30. 3 x 1 21 31. 3x 7 4 0 32. 6v 12 18 33. 4x 1 5 34. 3m 2 7or2m 1 13 35. 3h 15 0 Solve each system. 7x y 35 36. y 5x 19 2x 5y 25 38. y 3x 2 5x 7y 14 37. 1 1 x y 8 3 2 3 5 x y 4 5 6 10 8 6 4 2 -10 -5 5 10 -2 -4 -6 -8 -10 -12 Honors Classes 39. Space Travel A radioisotope is used as a power source for a satellite. The power output is given by the equation P 50e in watts and t is the time in days. t 250 , where P is the power a. Find the power available after 100 days. b. Ten watts of power are required to operate the equipment in the satellite. How long can the satellite continue to operate. 40. Atmospheric Pressure can be determined by using the equation P 14.7(11)0.02h , where P is the atmospheric pressure in pounds per square inch (psi) and h is the altitude above sea level in miles. A. Find the atmospheric pressure at an altitude of 3 miles above sea level. B. Find the altitude if the atmospheric pressure is 9.3 psi. 41. Given right triangle ABC. C 90 Find the missing parts of the triangle A. a = 8 b = 15 A _____ 1A. B _____ c _______ B. A 15 a = 10 42. Given triangle ABC. Find the missing parts and the Area. A. c = 10 A 48 C 63 B _____ B. b _______ c _______ Area ____ B _____ A. a ______ b ______ B. a = 40 b = 50 A 37 Area _____ B ______ B. C ______ c ________ C. a = 14 b = 15 c = 18 Area _____ A _____ C. B _____ D. a = 5 b = 7 C _____ C 40 Area _____ A ____ D. B _____ c ____