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Final Jeopardy Round 1 Round 2
Solving Equations Trigonometry Equations of Graphs Quadratic Equations Sequences Misc Round 2 $100 $100 $100 $100 $100 $100 Final Jeopardy $200 $200 $200 $200 $200 $200 Scores $300 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 $500
$100 Solve for x: x2 + 6x + 5 = 0
$100 What is x = -5, -1? Scores
$200 Solve for x: 2|2x + 5| > 26
$200 What is x < -9 or x > 4? Scores
$300 Solve for a: (3a + 2)(5a – 1) = 2(5a – 1)
$300 What is a = 0, 1/5 ? Scores
Solve the system for (x, y): $400 Solve the system for (x, y): - 5x – 2y = 12 -2x + 7y = 6
$400 What is ( -32 , 2 ) ? 13 13 Scores
$500 174d – 7 = 25
$500 What is d 2.03 ? Scores
Give the exact value: cos (- 540) $100 Give the exact value: cos (- 540)
$100 What is -1 ? Scores
$200 Give the exact value of tan 30 y
$200 What is 3/3 and b) 123 ? Scores
Using the half-angle formula, find the exact value of the sin 15. $300 Using the half-angle formula, find the exact value of the sin 15.
$300 What is ½ (2 3) ? Scores
Daily Double
$400 Find angle K of HKS:
$400 What is K = 67.4 ? Scores
Given the following equation: $500 Given the following equation: y = 3 sin (2x + ) +5, find Amplitude Period Phase shift Vertical shift
$500 What is amplitude = 3 period = phase shift = /2 left vertical shift = 5 up ? Scores
Find the equation of a line with slope of 3 and y-intercept of -2. $100 Find the equation of a line with slope of 3 and y-intercept of -2.
$100 What is y = 3x – 2 ? Scores
Determine the vertex of the following equation: $200 Determine the vertex of the following equation: y = 2x2 – 20x + 57
$200 What is (5, 7) ? Scores
Write an inequality that describes the shaded region: $300 Write an inequality that describes the shaded region:
$300 What is y (4/3)x – 4 ? Scores
What is the equation of a circle with center (-7, 10) and radius of 3? $400 What is the equation of a circle with center (-7, 10) and radius of 3?
$400 What is (x + 7)2 + (y – 10)2 = 9? Scores
$500 Write the equation of an ellipse with center at (-2, 5) and vertices at (3, 5), (-7, 5), (-2, 2) and (-2, 8).
$500 What is (x + 2)2 + (y – 5)2 = 1? 25 9 Scores
Find the real zeros of the function: $100 Find the real zeros of the function: f(x) = 3(x + 1)2 – 27
$100 What is x = 2, -4 ? Scores
Rewrite the equation in vertex form: $200 Rewrite the equation in vertex form: y = 2x2 – 9x + 1
$200 What is y = 2(x – 9/4)2 73/8 ? Scores
Find the solution set if $300 Find the solution set if 0 < -x2 – 5x + 14
$300 What is x < -7 or x > 2 ? Scores
$400
$400 What is h(t) = -16t2 + 30t + 5 and 14 ft ? Scores
$500 Solve the system: (x – 1)2 + (y + 6)2 = 8 2x – y – 6 = 0
$500 What is (1.4, -3.2) and (-1, -8)? Scores
$100 Evaluate: 12! 9!
$100 What is 1,320? Scores
Give the first four terms of the geometric sequence described: $200 Give the first four terms of the geometric sequence described: First term 2 ,second term 2
$200 What is 2, 2, 22, 4 ? Scores
Find the sum of the first 20 even positive integers $300 Find the sum of the first 20 even positive integers
$300 What is 420? Scores
$400 The sixth term of an arithmetic sequence is 17, and the ninth term is 26. Find the seventh term.
$400 What is 20? Scores
Rewrite the series using - notation: $500 Rewrite the series using - notation: 1 – 4 + 9 – 16 + 25 – 36 + 49
$500 What is ? Scores
Find the number of diagonals in a polygon with 30 sides. $100 Find the number of diagonals in a polygon with 30 sides.
$100 What is 405? Scores
Rationalize the denominator: $200 Rationalize the denominator: 5 + 7 5 7
$200 What is 16 + 57 ? 9 Scores
$300 Expand the binomial: (½ + 2d)4
$300 What is 1/16 + d + 6d2 + 16d3 + 16d4? Scores
$400 For the equation y = 6x2 + 15x – 36 8x3 + 24x2 – 54 x Find the following: The vertical asymptotes The horizontal asymptotes The x-values of any holes in the graph
$400 What is Vertical: x = 0, x = -9/2 Horizontal: y = 0 x-value of holes: x = 3/2 ? Scores
$500 Given the polar equation r2 = rcos, what is the center point (in rectangular coordinates) of the graph?
$500 What is (½, 0)? Scores
Complex numbers logarithms Polynomials Statistics More Trig Subject 6 Round 1 $200 $200 $200 $200 $200 $200 Final Jeopardy $400 $400 $400 $400 $400 $400 Scores $600 $600 $600 $600 $600 $600 $800 $800 $800 $800 $800 $800 $1000 $1000 $1000 $1000 $1000 $1000
Find the conjugate of 2 – 9i $200 Find the conjugate of 2 – 9i
$200 2 + 9i Scores
$400 Expand (2 – 3i)2 + (4 + 12i)
$400 -1 Scores
$600 Simplify
$600 Scores
What are the complex zeros of the function g(x) = x4 – 16? $800 What are the complex zeros of the function g(x) = x4 – 16?
$800 2, -2, 2i, -2i Scores
$1000 Write an equation in standard form that has the roots 3, 2+2i, and 2 – 2i
$1000 X3 – 7x2 + 20x – 24 = 0 Scores
$200 Evaluate log248 – log23
$200 4 Scores
Daily Double
Solve x = (log36)(log68)(log827) $400 Solve x = (log36)(log68)(log827)
$400 X = 3 Scores
$600 Solve
$600 0.5116 or -3.5116 Scores
Write as a sum and difference of logarithms $800 Write as a sum and difference of logarithms
$800 Lnx – ln(x – 2) + 2 Scores
$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?
$1000 126 Scores
What is the remainder when $200 What is the remainder when X4 – 2x3 + 4x2 – 8x + 16 is divided by x – 2?
$200 16 Scores
Explain with work if x + 2 is a factor of 2x4 + x3 – 16x2 – 27x - 14 $400 Explain with work if x + 2 is a factor of 2x4 + x3 – 16x2 – 27x - 14
Yes, divide it and there is no remainder $400 Yes, divide it and there is no remainder Scores
What is the fourth term in the expansion of (2x + 3)5? $600 What is the fourth term in the expansion of (2x + 3)5?
$600 1080x2 Scores
$800 Factor x3 – x2 – 25x + 25
$800 (x + 5)(x – 5)(x – 1) Scores
Write a quadratic equation whose roots are 3 + 2i and 3 – 2i $1000 Write a quadratic equation whose roots are 3 + 2i and 3 – 2i
$1000 X2 – 6x + 13 = 0 Scores
Find the standard deviation of: $200 Find the standard deviation of: 19, 23, 29, 27, 35, 16, 22, 28, 29, 42
$200 7.239 Scores
$400 On a 100-item true-false test, you know 64 of the answers and guess on the rest. What is your expected score?
$400 82 Scores
Daily Double
$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?
$600 80/243 Scores
$800 You have a 70% chance of winning a game. What is the probability that you will win 2 out of four games?
$800 0.2646 Scores
$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?
$1000 .00856 Scores
Evaluate cos(arcsin1/2) $200 Evaluate cos(arcsin1/2)
$200 Scores
$400 In a circle with radius 18, arc AB has a length of 3π. Find the measure of central angle AOB.
$400 30 Scores
Express as a single term. $600 Express as a single term. 4cos(-x) – 2cos(x)
$600 2cosx Scores
Evaluate without a calculator cos18cos12 – sin18sin12 $800 Evaluate without a calculator cos18cos12 – sin18sin12
$800 Scores
If sec x = 3/2 and 270< x < 360, what is sin 2x? $1000 If sec x = 3/2 and 270< x < 360, what is sin 2x?
$1000 Scores
$200 Enter Answer Here for Category 6 - Question 1
Enter Question Here for $200 Enter Question Here for Category 6 - Question 1 Scores
$400 Enter Answer Here for Category 6 - Question 2
Enter Question Here for $400 Enter Question Here for Category 6 - Question 2 Scores
$600 Enter Answer Here for Category 6 - Question 3
Enter Question Here for $600 Enter Question Here for Category 6 - Question 3 Scores
$800 Enter Answer Here for Category 6 - Question 4
Enter Question Here for $800 Enter Question Here for Category 6 - Question 4 Scores
$1000 Enter Answer Here for Category 6 - Question 5
Enter Question Here for $1000 Enter Question Here for Category 6 - Question 5 Scores
Final Jeopary Question Jeopardy Triangle Side Lengths Final Jeopary Question Scores
The lengths of two sides of a triangle are 10 and 16 The lengths of two sides of a triangle are 10 and 16. The third length must be between what two values?
6 and 26 Scores