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© Mark E. Damon - All Rights Reserved Round 1Round 2 Final Jeopardy.

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Presentation on theme: "© Mark E. Damon - All Rights Reserved Round 1Round 2 Final Jeopardy."— Presentation transcript:

1

2 © Mark E. Damon - All Rights Reserved

3 Round 1Round 2 Final Jeopardy

4 © Mark E. Damon - All Rights Reserved Solving Equations Trigono metry Equations of Graphs Quadratic Equations Sequen ces Misc $100 $200 $300 $400 $500 Round 2 Final Jeopardy Scores

5 © Mark E. Damon - All Rights Reserved $100 Solve for x: x 2 + 6x + 5 = 0 Solve for x: x 2 + 6x + 5 = 0

6 © Mark E. Damon - All Rights Reserved $100 What is x = -5, -1? Scores

7 © Mark E. Damon - All Rights Reserved $200 Solve for x: 2|2x + 5| > 26 Solve for x: 2|2x + 5| > 26

8 © Mark E. Damon - All Rights Reserved $200 What is x 4? Scores

9 © Mark E. Damon - All Rights Reserved $300 Solve for a: (3a + 2)(5a – 1) = 2(5a – 1) Solve for a: (3a + 2)(5a – 1) = 2(5a – 1)

10 © Mark E. Damon - All Rights Reserved $300 What is a = 0, 1/5 ? What is a = 0, 1/5 ? Scores

11 © Mark E. Damon - All Rights Reserved $400 Solve the system for (x, y): - 5x – 2y = 12 -2x + 7y = 6 Solve the system for (x, y): - 5x – 2y = 12 -2x + 7y = 6

12 © Mark E. Damon - All Rights Reserved $400 What is ( -32, 2 ) ? Scores 13

13 © Mark E. Damon - All Rights Reserved $500 17 4d – 7 = 25

14 © Mark E. Damon - All Rights Reserved $500 What is d  2.03 ? Scores

15 © Mark E. Damon - All Rights Reserved $100 Give the exact value: cos (- 540  )

16 © Mark E. Damon - All Rights Reserved $100 What is -1 ? Scores

17 © Mark E. Damon - All Rights Reserved $200 Give the exact value of a) tan 30  b) y Give the exact value of a) tan 30  b) y

18 © Mark E. Damon - All Rights Reserved $200 What is a)  3/3 and b) 12  3 ? What is a)  3/3 and b) 12  3 ? Scores

19 © Mark E. Damon - All Rights Reserved $300 Using the half-angle formula, find the exact value of the sin 15 .

20 © Mark E. Damon - All Rights Reserved $300 What is ½  (2   3) ? Scores

21 © Mark E. Damon - All Rights Reserved

22 $400 Find angle K of  HKS:

23 © Mark E. Damon - All Rights Reserved $400 What is  K = 67.4  ? Scores

24 © Mark E. Damon - All Rights Reserved $500 Given the following equation: y = 3 sin (2x +  ) +5, find Amplitude Period Phase shift Vertical shift Given the following equation: y = 3 sin (2x +  ) +5, find Amplitude Period Phase shift Vertical shift

25 © Mark E. Damon - All Rights Reserved $500 What is amplitude = 3 period =  phase shift =  /2 left vertical shift = 5 up ? What is amplitude = 3 period =  phase shift =  /2 left vertical shift = 5 up ? Scores

26 © Mark E. Damon - All Rights Reserved $100 Find the equation of a line with slope of 3 and y-intercept of -2.

27 © Mark E. Damon - All Rights Reserved $100 What is y = 3x – 2 ? Scores

28 © Mark E. Damon - All Rights Reserved $200 Determine the vertex of the following equation: y = 2x 2 – 20x + 57 Determine the vertex of the following equation: y = 2x 2 – 20x + 57

29 © Mark E. Damon - All Rights Reserved $200 What is (5, 7) ? Scores

30 © Mark E. Damon - All Rights Reserved $300 Write an inequality that describes the shaded region:

31 © Mark E. Damon - All Rights Reserved $300 What is y  (4/3)x – 4 ? What is y  (4/3)x – 4 ? Scores

32 © Mark E. Damon - All Rights Reserved $400 What is the equation of a circle with center (-7, 10) and radius of 3?

33 © Mark E. Damon - All Rights Reserved $400 Scores What is (x + 7) 2 + (y – 10) 2 = 9? What is (x + 7) 2 + (y – 10) 2 = 9?

34 © Mark E. Damon - All Rights Reserved $500 Write the equation of an ellipse with center at (-2, 5) and vertices at (3, 5), (-7, 5), (-2, 2) and (-2, 8).

35 © Mark E. Damon - All Rights Reserved $500 Scores What is (x + 2) 2 + (y – 5) 2 = 1? What is (x + 2) 2 + (y – 5) 2 = 1? 25 9

36 © Mark E. Damon - All Rights Reserved $100 Find the real zeros of the function: f(x) = 3(x + 1) 2 – 27 Find the real zeros of the function: f(x) = 3(x + 1) 2 – 27

37 © Mark E. Damon - All Rights Reserved $100 What is x = 2, -4 ? Scores

38 © Mark E. Damon - All Rights Reserved $200 Rewrite the equation in vertex form: y = 2x 2 – 9x + 1 Rewrite the equation in vertex form: y = 2x 2 – 9x + 1

39 © Mark E. Damon - All Rights Reserved $200 What is y = 2(x – 9/4) 2  73/8 ? What is y = 2(x – 9/4) 2  73/8 ? Scores

40 © Mark E. Damon - All Rights Reserved $300 Find the solution set if 0 < -x 2 – 5x + 14 Find the solution set if 0 < -x 2 – 5x + 14

41 © Mark E. Damon - All Rights Reserved $300 What is x 2 ? What is x 2 ? Scores

42 © Mark E. Damon - All Rights Reserved $400

43 © Mark E. Damon - All Rights Reserved $400 What is h(t) = -16t 2 + 30t + 5 and 14 ft ? What is h(t) = -16t 2 + 30t + 5 and 14 ft ? Scores

44 © Mark E. Damon - All Rights Reserved $500 Solve the system: (x – 1) 2 + (y + 6) 2 = 8 2x – y – 6 = 0 Solve the system: (x – 1) 2 + (y + 6) 2 = 8 2x – y – 6 = 0

45 © Mark E. Damon - All Rights Reserved $500 What is (1.4, -3.2) and (-1, -8)? Scores

46 © Mark E. Damon - All Rights Reserved $100 Evaluate: 12! 9! Evaluate: 12! 9!

47 © Mark E. Damon - All Rights Reserved $100 What is 1,320? Scores

48 © Mark E. Damon - All Rights Reserved $200 Give the first four terms of the geometric sequence described: First term  2,second term 2 Give the first four terms of the geometric sequence described: First term  2,second term 2

49 © Mark E. Damon - All Rights Reserved $200 What is  2, 2, 2  2, 4 ? Scores

50 © Mark E. Damon - All Rights Reserved $300 Find the sum of the first 20 even positive integers

51 © Mark E. Damon - All Rights Reserved $300 What is 420? Scores

52 © Mark E. Damon - All Rights Reserved $400 The sixth term of an arithmetic sequence is 17, and the ninth term is 26. Find the seventh term.

53 © Mark E. Damon - All Rights Reserved $400 Scores What is 20?

54 © Mark E. Damon - All Rights Reserved $500 Rewrite the series using  - notation: 1 – 4 + 9 – 16 + 25 – 36 + 49 Rewrite the series using  - notation: 1 – 4 + 9 – 16 + 25 – 36 + 49

55 © Mark E. Damon - All Rights Reserved $500 Scores What is ? What is ?

56 © Mark E. Damon - All Rights Reserved $100 Find the number of diagonals in a polygon with 30 sides.

57 © Mark E. Damon - All Rights Reserved $100 What is 405? Scores

58 © Mark E. Damon - All Rights Reserved $200 Rationalize the denominator: 5 +  7 5   7 Rationalize the denominator: 5 +  7 5   7

59 © Mark E. Damon - All Rights Reserved $200 16 + 5  7 ? 9 16 + 5  7 ? 9 Scores What is

60 © Mark E. Damon - All Rights Reserved $300 Expand the binomial: (½ + 2d) 4 Expand the binomial: (½ + 2d) 4

61 © Mark E. Damon - All Rights Reserved $300 What is 1/16 + d + 6d 2 + 16d 3 + 16d 4 ? What is 1/16 + d + 6d 2 + 16d 3 + 16d 4 ? Scores

62 © Mark E. Damon - All Rights Reserved $400 For the equation y = 6x 2 + 15x – 36 For the equation y = 6x 2 + 15x – 36 8x 3 + 24x 2 – 54 x Find the following: The vertical asymptotes The horizontal asymptotes The x-values of any holes in the graph Find the following: The vertical asymptotes The horizontal asymptotes The x-values of any holes in the graph

63 © Mark E. Damon - All Rights Reserved $400 What is Vertical: x = 0, x = -9/2 Horizontal: y = 0 x-value of holes: x = 3/2 ? What is Vertical: x = 0, x = -9/2 Horizontal: y = 0 x-value of holes: x = 3/2 ? Scores

64 © Mark E. Damon - All Rights Reserved $500 Given the polar equation r 2 = rcos , what is the center point (in rectangular coordinates) of the graph?

65 © Mark E. Damon - All Rights Reserved $500 Scores What is (½, 0)?

66 © Mark E. Damon - All Rights Reserved Complex numbers logarith ms Polyno mials Statisti cs More Trig Subject 6 $200 $400 $600 $800 $1000 Round 1 Final Jeopardy Scores

67 © Mark E. Damon - All Rights Reserved $200 Find the conjugate of 2 – 9i

68 © Mark E. Damon - All Rights Reserved $200 2 + 9i Scores

69 © Mark E. Damon - All Rights Reserved $400 Expand (2 – 3i) 2 + (4 + 12i)

70 © Mark E. Damon - All Rights Reserved $400 Scores

71 © Mark E. Damon - All Rights Reserved $600 Simplify

72 © Mark E. Damon - All Rights Reserved $600 Scores

73 © Mark E. Damon - All Rights Reserved $800 What are the complex zeros of the function g(x) = x 4 – 16?

74 © Mark E. Damon - All Rights Reserved $800 2, -2, 2i, -2i Scores

75 © Mark E. Damon - All Rights Reserved $1000 Write an equation in standard form that has the roots 3, 2+2i, and 2 – 2i

76 © Mark E. Damon - All Rights Reserved $1000 X 3 – 7x 2 + 20x – 24 = 0 Scores

77 © Mark E. Damon - All Rights Reserved $200 Evaluate log 2 48 – log 2 3

78 © Mark E. Damon - All Rights Reserved $200 4 4 Scores

79 © Mark E. Damon - All Rights Reserved

80 $400 Solve x = (log 3 6)(log 6 8)(log 8 27)

81 © Mark E. Damon - All Rights Reserved $400 X = 3 Scores

82 © Mark E. Damon - All Rights Reserved $600 Solve

83 © Mark E. Damon - All Rights Reserved $600 0.5116 or -3.5116 Scores

84 © Mark E. Damon - All Rights Reserved $800 Write as a sum and difference of logarithms

85 © Mark E. Damon - All Rights Reserved $800 Lnx – ln(x – 2) + 2 Scores

86 © Mark E. Damon - All Rights Reserved $1000 The decline in the buffalo population was exponential in the 1800’s. In 1800 it was estimated that there were 6,000,000 buffalo. By 1830 this number had declined to 500,000. How many buffalo were there in 1930?

87 © Mark E. Damon - All Rights Reserved $1000 126 Scores

88 © Mark E. Damon - All Rights Reserved $200 What is the remainder when X 4 – 2x 3 + 4x 2 – 8x + 16 is divided by x – 2? What is the remainder when X 4 – 2x 3 + 4x 2 – 8x + 16 is divided by x – 2?

89 © Mark E. Damon - All Rights Reserved $200 16 Scores

90 © Mark E. Damon - All Rights Reserved $400 Explain with work if x + 2 is a factor of 2x 4 + x 3 – 16x 2 – 27x - 14

91 © Mark E. Damon - All Rights Reserved $400 Yes, divide it and there is no remainder Scores

92 © Mark E. Damon - All Rights Reserved $600 What is the fourth term in the expansion of (2x + 3) 5 ?

93 © Mark E. Damon - All Rights Reserved $600 1080x 2 Scores

94 © Mark E. Damon - All Rights Reserved $800 Factor x 3 – x 2 – 25x + 25

95 © Mark E. Damon - All Rights Reserved $800 (x + 5)(x – 5)(x – 1) Scores

96 © Mark E. Damon - All Rights Reserved $1000 Write a quadratic equation whose roots are 3 + 2i and 3 – 2i

97 © Mark E. Damon - All Rights Reserved $1000 X 2 – 6x + 13 = 0 Scores

98 © Mark E. Damon - All Rights Reserved $200 Find the standard deviation of: 19, 23, 29, 27, 35, 16, 22, 28, 29, 42 Find the standard deviation of: 19, 23, 29, 27, 35, 16, 22, 28, 29, 42

99 © Mark E. Damon - All Rights Reserved $200 7.239 Scores

100 © Mark E. Damon - All Rights Reserved $400 On a 100-item true-false test, you know 64 of the answers and guess on the rest. What is your expected score?

101 © Mark E. Damon - All Rights Reserved $400 82 Scores

102 © Mark E. Damon - All Rights Reserved

103 $600 A coin turns up heads 2/3 of the time and it is tossed 5 times. What is the probability that it will turn up heads four times?

104 © Mark E. Damon - All Rights Reserved $600 80/243 Scores

105 © Mark E. Damon - All Rights Reserved $800 You have a 70% chance of winning a game. What is the probability that you will win 2 out of four games?

106 © Mark E. Damon - All Rights Reserved $800 0.2646 Scores

107 © Mark E. Damon - All Rights Reserved $1000 10% of a batch of items are defective. If five items are selected at random, what is the probability that at least 3 are defective?

108 © Mark E. Damon - All Rights Reserved $1000.00856 Scores

109 © Mark E. Damon - All Rights Reserved $200 Evaluate cos(arcsin1/2)

110 © Mark E. Damon - All Rights Reserved $200 Scores

111 © Mark E. Damon - All Rights Reserved $400 In a circle with radius 18, arc AB has a length of 3 π. Find the measure of central angle AOB.

112 © Mark E. Damon - All Rights Reserved $400 30 Scores

113 © Mark E. Damon - All Rights Reserved $600 Express as a single term. 4cos(-x) – 2cos(x) Express as a single term. 4cos(-x) – 2cos(x)

114 © Mark E. Damon - All Rights Reserved $600 2cosx Scores

115 © Mark E. Damon - All Rights Reserved $800 Evaluate without a calculator cos18cos12 – sin18sin12

116 © Mark E. Damon - All Rights Reserved $800 Scores

117 © Mark E. Damon - All Rights Reserved $1000 If sec x = 3/2 and 270< x < 360, what is sin 2x?

118 © Mark E. Damon - All Rights Reserved $1000 Scores

119 © Mark E. Damon - All Rights Reserved $200 Enter Answer Here for Category 6 - Question 1 Enter Answer Here for Category 6 - Question 1

120 © Mark E. Damon - All Rights Reserved $200 Enter Question Here for Category 6 - Question 1 Enter Question Here for Category 6 - Question 1 Scores

121 © Mark E. Damon - All Rights Reserved $400 Enter Answer Here for Category 6 - Question 2 Enter Answer Here for Category 6 - Question 2

122 © Mark E. Damon - All Rights Reserved $400 Enter Question Here for Category 6 - Question 2 Enter Question Here for Category 6 - Question 2 Scores

123 © Mark E. Damon - All Rights Reserved $600 Enter Answer Here for Category 6 - Question 3 Enter Answer Here for Category 6 - Question 3

124 © Mark E. Damon - All Rights Reserved $600 Enter Question Here for Category 6 - Question 3 Enter Question Here for Category 6 - Question 3 Scores

125 © Mark E. Damon - All Rights Reserved $800 Enter Answer Here for Category 6 - Question 4 Enter Answer Here for Category 6 - Question 4

126 © Mark E. Damon - All Rights Reserved $800 Enter Question Here for Category 6 - Question 4 Enter Question Here for Category 6 - Question 4 Scores

127 © Mark E. Damon - All Rights Reserved $1000 Enter Answer Here for Category 6 - Question 5 Enter Answer Here for Category 6 - Question 5

128 © Mark E. Damon - All Rights Reserved $1000 Enter Question Here for Category 6 - Question 5 Enter Question Here for Category 6 - Question 5 Scores

129 © Mark E. Damon - All Rights Reserved Scores Triangle Side Lengths Final Jeopary Question

130 © Mark E. Damon - All Rights Reserved The lengths of two sides of a triangle are 10 and 16. The third length must be between what two values?

131 © Mark E. Damon - All Rights Reserved 6 and 26 Scores


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