1. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

2. 1 1 Is 5 a solution to the equation (x + 5)/(x –5) = 10/(x – 5) ?

3. 2 2 (3x – 5)/(2x + 1) Is it a rational equation ?

4. 3 3 f(x) = 1/ (x – 1) when x = - 2. Find the domain of set builder notation

5. 4 4 Solve the rational equation 1/(x – 2) = -1

6. 5 5 Solve the rational equation 4/ (x – 3) = x

7. 6 6 Write the symbolic representation for the rational function’ Divide x- squared by the quantity x minus 3’

8. 7 7 Is 3/(3 + x) equal to 1/x ?

9. 8 8 (m 3 + n 3 )/(m +n ) = ?

10. 9 9 Simplify ( x 2 - 3x – 10) /(x 2 - 6x + 5)

11. 10 (4 – y)/(y – 4) = ?

12. 11 The reciprocal of (x 2 - 4)/(3x + 1)

13. 12 (b 2 + 1)/ (b 2 - 1) x (b – 1)/ (b + 1) Simplify

14. 13 The least common multiple of x 2 - 4, x 2 + 2x

15. 14 Simplify 3/2 – 1/8

16. 15 Simplify 4n/(n 2 - 9) – 8/ ( n – 3)

17. 16 A pump can empty a pool in 50 hours. To speed up the process a second pump is used that can empty the pool in 80 hours. How long will it take for both pumps working together to empty the pool?

18. 17 Solve 2/x – 7/3 = -29/15

19. 18 Solve 1/x + 1/x 2 = 2

20. 19 1/r = 1/(t + 1) ; Find t

21. 20 (2 + 2/3)/ (2 – ¼)

22. 21 (x/2y)/(2x/3y)

23. 22 (1/a + 1/b) /(1/a – 1/b)

24. 23 A 6 foot tall person casts a 4 – foot long shadow. If a nearby tree casts a 44-foot long shadow, estimate the height of the tree.

25. 24 What is the LCD of 1/6 and 1/9

26. 25 Least common multiple of 12ab, 6a 2

27. 26 A 100 watt bulb with a resistance of R1 = 120 ohms and a 75-watt light bulb with a resistance of R2 = 160 ohms are placed in an electric circuit. Find their combined resistance. 1/R = 1/R1 + 1/R2

28. 27 What would be a good first step in solving 3/(x + 7) = x ?

29. 28 If x = 4, then (x-4)/(x – 4)

30. 29 Simplify 4. 7/4. 1/2

31. 30 Solve the proportion 3/2 = 2x/9

32. 1 1 No, the equation is undefined

33. 2 2 Yes

34. 3 3 x = -1/3 ; { x/ x = 1}

35. 4 4 1

36. 5 5 - 1, 4

37. 6 6 f(x) =x/(x – 3)

38. 7 7 No

39. 8 8 m 2 – mn +n 2

40. 9 9 (x + 2)/(x – 1)

41. 10

42. 11 (3x + 1)/ (x 2 - 4)

43. 12 (b 2 + 1)/(b + 1) 2

44. 13 x(x – 2)(x + 2)

45. 14 11/8

46. 15 4(n + 6)/(n – 3)(n + 3)

47. 16 30.8 hours

48. 17 5

49. 18 1, - 1/2

50. 19 r - 1

51. 20 14/3

52. 21 x 2 /3y 2

53. 22 ( b 2 - a 2 ) /a 2 b 2

54. 23 66 ft

55. 24 18

56. 25 12a 2 b

57. 26 480/ 7 = 69 ohms

58. 27 Multiply both sides by x + 7

59. 28 1

60. 29 7/2

61. 30 27/4

62. Tie Breaker