1. Algebra Exponentials Jeopardy

2. Algebra Midterm Jeopardy
graphs properties mystery interest applications other
Final Jeopardy

3. Graphing 1 point
Growth or decay?
X-intercept
Y-intercept

4. Graphing 1 point answer Growth
No x-intercept for exponential functions!
(0, 1)

5. Graphing 2 points
A. Growth or decay B. X-intercept C. Y-intercept

6. Graphing 2 points answer
Decay
No x-intercepts for exponentials!
(0, 4)

7. Graphing 3 points Growth or decay X-intercept Y-intercept Domain Range
asymptote

8. Graphing 3 points answer

9. Graphing 4 points Growth or decay Write the rule Domain Range
Asymptote
(0, 6) and (2, 0.375)

10. Graphing 4 points answer

11. Properties 1 point
(-4xy2)0

12. Properties 1 point answer
(-4xy2)0 1

13. Properties 2 points
2b4 ⋅ 4a-3 ⋅ 5b-5 ⋅ -2a8

14. Properties 2 points answer

15. Properties 3 points
Rewrite with only one exponent:
64x3y6z12

16. Properties 3 points answer
64x3y6z12
These can all be written to the power of 3:
43x3(y2)3(z4)3
(4xy2z4)3

17. Properties 4 points
Solve:
56x = 12520

18. Properties 4 points answer
56x = 12520
Rewrite 125 with a base of 5
56x = (53)20
56x = 560
6x = 60
X = 10

19. Mystery 1 point

20. Sequences 1 point answer

21. Mystery 2 points

22. Mystery 2 points answer

23. Mystery 3 points
State the: Domain Range Y-intercept X-intercept

24. Mystery 3 points answer

25. Mystery 4 points
You have two neighbors with dogs. The first neighbor will give you $7 each time you walk his dog. The second neighbor will give you $.50 for the first walk, then doubles each walk after that. A. How much total will each neighbor have given you after 4 walks? B. When will it be better for you to choose the second neighbor?

26. Mystery 4 points answer
Neighbor #1: $7(4) = $ Neighbor #2: $ $1 + $2 + $4 = $7.50
On walk 7 your first neighbor will have given you $49 and the second neighbor will have paid you a total of $61.50

27. Interest 1 point
Invest $850 in an account that pays 2% interest compounded annually for 4 years.

28. Interest 1 point answer
Invest $850 in an account that pays 2% interest compounded annually for 4 years. P = 850 R = 2%/1 = 2% + 100% = 102% = 1.02 X = 4(1) A = 850(1.02)4 = $920.07

29. Interest 2 points
Invest $9000 in an account that pays 3% interest compounded semiannually for 6 years.

30. Interest 2 points answer
Invest $9000 in an account that pays 3% interest compounded semiannually for 6 years. P = 9000 R = 3%/2 = 1.5% + 100% = 101.5% = X = 6(2) = 12 A = 9000(1.015)12 = $10,760.56

31. Interest 3 points
Invest $1000 in an account that pays 5% compounded quarterly for 10 years.

32. Interest 3 points answer
Invest $1000 in an account that pays 5% compounded quarterly for 10 years. P = 1000 R = 5%/4 = 1.25% + 100% = % = X = 10(4) = 40 A = 1000(1.0125)40 = $

33. Interest 4 points
Invest $12,000 in an account that pays 3% compounded monthly for 8 years.

34. Interest 4 points answer
Invest $12,000 in an account that pays 3% compounded monthly for 8 years.
P = 12000
R = 3%/12 = 0.25% + 100% = % =
X = 8(12) = 96
A = 12000(1.0025)96 = $15,250.42

35. Applications 1 point
A club has 20 people and is growing by 15% each year. How many members will there be in 6 years?

36. Applications 1 point answer
A club has 20 people and is growing by 15% each year. How many members will there be in 6 years? a = 20 b = 15% + 100% = 115% = 1.15 x = 6 Y = 20(1.15)6 = 46 people

37. Applications 2 points
A car depreciates by 13% each year. How much will a car currently valued at $21,000 be worth in 7 years?

38. Applications 2 points answer
A car depreciates by 13% each year. How much will a car currently valued at $21,000 be worth in 7 years?
a = 21000
b = 100% - 13% = 87% = 0.87
x = 7
y = 21000(0.87)7 = $

39. Applications 3 points
A haunted house has 5 spiders. Their population is doubling every 4 months. How many spiders will there be in 10 years?

40. Applications 3 points answer
A haunted house has 5 spiders. Their population is doubling every 4 months. How many spiders will there be in 10 years?
a = 5
b = 2 (doubling = 2)
x = 3 times a year for 10 years = 30
5(2)30 = 5,368,709,120

41. Applications 4 points
A mystery substance has a half life of 2 days. If you start with 17 mg of this substance, how much will be left in 13 days?

42. Applications 4 points answer
A mystery substance has a half life of 2 days. If you start with 17 mg of this substance, how much will be left in 13 days? a = 17 mg b = 0.5 (half life is ALWAYS 0.5) x = 13/2 = 6.5 cycles y = 17(0.5)6.5 = 0.19 mg

43. Other 1 point
y = 0.5(1.25)x
Growth or decay?
Y-intercept
Rate of growth or decay
Growth or decay factor

44. Other 1 point answer y = 0.5(1.25)x Growth or decay? Growth (b > 1)
Y-intercept (also known as “a” 0.5)
Rate of growth or decay b = 1.25, growing by 25%
D. Growth factor: 1.25

45. Other 2 points
(-4xy5z3)2

46. Other 2 points answer
(-4xy5z3)2 = 16x2y10z6

47. Other 3 points
Graph y = -2(0.5)x What are the domain and range?

48. other 3 points answer

49. Other 4 points
You buy a brand new car for $ It loses its value by 9% each year.
Write an equation to model this situation.
What is the domain?
What is the range?

50. Other 4 points answer

51. Write a rule to model the data.
Final Jeopardy
Write a rule to model the data. x 1 2 3 4 y 10
12.5
15.625
19.531

52. Final Jeopardy answer
Write a rule: y = a(b)x 10 = a(1.25) a = 10/1.25 = = a(b)2 y = 8(1.25)x 10 = a(b) = b1