Summer Workout Program This packet must be completed prior to the beginning of Honor Trig/ Pre-Calculus. There will be a test over the content of this packet.

For section D graph without use of a calculator!

b. Conics: Parabolas, Circles, Ellipsis, Hyperbola 16. Find the center and radius of the circle: (x – 2)2 + (y + 4)2 = 25

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17. Identify the conic. Also state the center and the major and minor axis: a)

b)

c)

c. Convert radicals to fractional exponents and vice versa. 18. √ 20.

= ___________ √

19.

⁄

= ___________

= ___________

d .

2

3

4

5

6

Answers: 1. 13

2. 5

3. - ½

4. 4 + h 5

5. y = /3 x + 1

6. y = 2

7. x = -2

8. y = 2x - 1

9. x = 5

10 - 15 Use calculator to check

16. r = 5, center @ (2, -4)

17. a) Ellipse w/ center @ (3, -2); major axis is vertical & 6, minor is 2

17 b) Circle w/ center @ (-3, 2); radius is 7

17. c) Hyperbola w/ center @ (-1, 0); major axis is horizontal & 5, minor is 4

18. 20.

⁄

19. √

⁄

2

21. (x + 2) – 6 2

22. 2(x + 3) – 8 1

23. C

7

2

24. y = /3 x – /3

25. y = /3 x – 6

26. g(2) = -5

27. f( /5) = 3.854

28. f(5) = -2

29. -21

30. 5 + 4h + h

4

2

31. -2x – h

32. f(-6) = -13

33. -3

34 & 35 TBA

36. h(g(4)) = -1

37. g(f(6)) = -7

38. f(g(x)) = 6x – 8x + 5

39.

40. x – x + 2

41.

42. (3x – 2) (x – 1)

43. 4(x + 2) (x + 3)

44. -2x (x – 2) (x + 1)

45. (x – 2) (

2

2

x +4)

46.

47.

48.

49.

50. 2x + h – 5

51.

52.

7

1

53.

54. /3

55.

56.

57.

58.

59. x = -1

60. x = 1

8

√

61. 8x

62. 2a

63.

64.

65. R

4

5 11

66. x y

67. 16 69.

3

√

68. √

70.

71. x = ¼

72. x = -3

73. x = 1

74. x = 129

75. x = 6 & -2

76. x = 6 & 3

5

77. x = /8 & 1 √

79.

√

78.

80. x = 3, y = 4

81. x = 1, y = 2

82. 37 °C

83. N = 800 mi, E = 600 mi & 150 mph

84. 18 ft by 15 ft

√

85.

86.

√

87. 0.854

88.

89. 4.946

90. x = 3

91.

(

93.

[

⁄

)

92. ]

(

⁄

⁄

)

94. 5 log p + 3 log q – 2 log r

95. x = 1.631

96. x = 8

97.

98. A = 27°; B = 63°; c = 5.72

99. A = 36°; b = 5.09; c = 6.29

100. 555.29 ft

101. 1039.23 ft

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