Are You Smarter Than the Faculty?

1. Are You Smarter Than the Faculty?

2. Are You Smarter Than the Faculty? 150,000 125,000 Exponential Equations Logarithmic Equations 100,000 75,000 Graphing Rational Function Rational Equation 50,000 Inverse Functions Rational Function 30,000 15,000 Rational Root Theorem W-Substitutions 10,000 5,000 Factoring Quadratic Formula 1,000

3. 1,000,000 850,000 Are You Smarter Than the Faculty? Probability Counting Principle,nPr, nCr 750,000 600,000 Binomial Theorem Geometric Sequences 500,000 Arithmetic Sequences Quadratic Systems 400,000 350,000 Conic Sections Million dollar question 300,000 250,000 200,000

4. Faculty Exponential Equations a) 3x=8.472886094e11 b) 5(8e2x-3)3=625

5. Faculty- Exponential Equations- Answer a) Ln(0.6) or -.511 b) 0 Return

6. Faculty-Logarithmic Equations • A) ln(x-3) + ln(x-2) = ln (2x+24) • B) Log4x-log4(x-1)

7. Faculty-Logarithmic Equations- Answer • A) 9 • B)2 Return

8. Senior Graphing Rational Function a) [2(x-5)(x-2)]/[(x-5)(x+1)] b) 3(x+5)/(x-2)

9. Senior  Graphing Rational Function a) V.A at x=-1 H.A at y=2 zero at x=-5 x-int at 2 b) V.A at x=2, H.A at y=3 and zero at x=-5 Return

10. Senior  Rational Equation  Question • (x/x-2)-(1/x-4)=(2/x2-6x+8) • X+1=(72/x)

11. Senior  Rational Equation  Answer • 4,-1 • -9,8 Return

12. Senior- Probability- Questions • A) If a locker has 50 numbers on each lock, how many 3-number combos are possible? • B) What is the probability of rolling a ‘3’ on a single die?

13. Senior-Probability- Answer • A) 117,600 • B) 1/6 Return

14. Junior  Inverse Functions a) y=9x b) y=(1/13)x2

15. Junior Inverse Functions  Answer a) y=(x/9) b) y=+-square root of 13x Return

16. Junior Rational Function a) (g)(x)=(x-1)/(x-2) b) h(x)= (x+2)/x

17. Junior  Rational Function  Answer a) (-infinity, 2) U (2, infinity) b) (-infinity, 0) U (0, infinity) Return

18. Junior- Binomial Theorem • A) (2x + 3/x)4 • B) (u-v)5

19. Junior- Binomial Theorem- Answer • A) 16x4+96x2+216+216x-2+81x-4 • B) u5-5u4v + 10u3v2-10u2v3+5uv4-v5 Return

20. Junior-Counting Principle,nPr, nCr • A) How many ways are there to draw 2 cards out of a 52 card deck • B) How many permutations are there of the letters ABCD • C) 54 people are in a conference, six are chosen. They cannot be repeated and order is not important

21. Junior-Counting Principle,nPr, nCr-Answer • A) 1326 • B) 24 • C) C(54,6)=25,827,165 Return

22. Sophomore  W-Substitutions • 6x4+4x2-2 • X4+x2+2

23. Sophomore W-Substitutions  Answer • +- square root of 1/3 and +-I • +-I and square root of 2 Return

24. Sophomore  Rational Root Theorem a)2x3+3x2-8x+3 b)x3+6x2+3x-10

25. Sophomore Rational Root Theorem  Answer • +- (3/2), (1/2), 3, 1 • +- 10, 5, 2, 1 Return

26. Sophomore-Arithmetic Sequences • What is the formula for an Arithmetic Sequence? • T1=5 t7=29 find the 53 number

27. Sophomore-Arithmetic Sequences-Answers • A)tn= t1+ (n-1)d • 213 Return

28. Sophomore-Geometric Sequences • What is the formula for a geometric sturcture? • Find the 5th term if t1=6 and t2=12. Also tn=3*2n

29. Sophomore-Geometric Sequences -Answer • tn=t1*r(n-1) • 96 Return

30. Freshman Factoring • 3x2-2x-5 • 3x2+7x+2 • 6x2-19x-7

31. Freshman  Factoring  Answer • 5/3 and -1 • -1/3 and -2 • 7/2 and -1/3 Return

32. Freshman  Quadratic Formula • 3y2+.15y-11.7 • 10x2+200x +937.5

33. Frshman  Quadratic Formula  Answer • (-6.5,6) • (-12.5, -7.5) Return

34. Freshmen-Quadratic Systems • 4x2+8x+4=y • 3x2-2x-5=y

35. Freshman-Quadratic Systems-Answer • {(-9,256), (-1,0)} Return

36. Freshman-Conic Sections • Parabola, ellipse, circle or hyperbola? • -3x2+y+2 • 2x2-3y2=0

37. Freshman-Conic Sections-Answer • A) parabola • B) hyperbola Return

38. 1,000,000 Mr. Napier Question • What is the rule of this sequence? What sequence is it? Find the 27th term. 0,1,1,2,3,5,8,13,21,34,55,89

39. 1,000,000 Answer • Fibonacci Sequence • Formula is xn=xn-1+xn-2-> Recursive • 196,418 Return

40. Thanks for Playing! By: Shawn Miller, Spencer Dant, and Josh Etchberger