1. Semester 1 Review Recursive Sequences, Linear Systems, Transformation of functions, and Statistics.

2. Arithmetic Sequence : An arithmetic sequence is a sequence in which each term is equal to the previous term plus a constant. The constant is called the common difference.

3. Geometric Sequence A geometric sequence is a sequence in which each term is equal to the previous term multiplied by a constant. This constant is called the common ratio.

4. Write a recursive formula and use it to find the missing table values. n1234………12 512.520……… n1234 10 2.27.726.95………

5. Example: If you take a medication that metabolize at a rate of 15% per hour, how long will it take for 200 mg. to reach half of the original dose? Write a recursive formula:

6. A Population of 500 rats will grow at a rate of 16% every 6 months. Write both the recursive and exponential function of this statement.

7. You invested $8000 into two different accounts. The first account earns 5% and the second account earns 10%. If you have earned $500, how much did you invest in each account?

8. Odd/Even functions: State if the following function is odd or even. You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f(–x) =f(x), so all of the signs are the same), then the function is even. If you end up with the exact opposite of what you started with (that is, if f(–x) =–f(x), so all of the "plus" signs become "minus" signs, and vice versa), then the function is odd. In all other cases, the function is "neither even nor odd".

11. Water evaporates at a rate of 20% per week. From a 200 gallon tank of water you add 10 gallons a week, what is the long run value?

12. December 8, 2015 Objectives: 1.Semester Final Review. 2.Unit 3 (Statistics) terminology Randomized Experiment Statistically Significant

13. Type of StudyChoices, treatments, or conditions Example ExperimentalTreatments are applied to subjects by the researcher Observational Treatments are not applied by the researcher. Subjects may know they are being observed but don’t know what is observed. Survey Information about treatments and/or results is collected from the subjects.

14. Randomized Experiment? When the subjects are randomly assigned to the treatment groups, that is considered a randomized experiment.

15. Causation vs. Association Causation between two variables can only be established with an experimental study. Association between two variables can be determined with an observational study or some type of survey.

16. Statistically Significant? We say that the results of an experiment is statistically significant when the difference between the control group and the treatment group(s) is large enough. When we have established statistical significance we will have causation.

17. December 9, 2015 Objectives: 1. Review.

18. 03 16 212 324 1. Write both the recursive and explicit equation: Is this a geometric or arithmetic sequence?

20. 3. Esaias recently began training for running the 800 in track. The first time he ran it this year, he ran a 2:21 but loses 3 seconds every week. Write a recursive formula and explicit formula that describes this scenario.

21. 4. My Chevy loses value every year. The function y = 5,000(0.88) x models the loss in value of my car. Write a recursive formula to describe this situation.

24. 7. Joseph got a job with a $32,000 yearly salary. He does well at this job and gets a pay raise of 4% every year. a. How much is his salary in year 5? b. How much total does he make after 5 years? c. Write a recursive formula and explicit formula to describe this scenario.

25. December 11, 2015: Review Warm-up 8. Emma opened a Christmas tree farm with 6000 trees. Each year she sells 38% of her trees and then replants 1000 trees. a. How many trees does she have after 6 years? b. Write a recursive formula to describe this scenario.

27. 9. Solve the system of equations y = 2x + 4 2x + 2y = 14

28. 9. Solve the system of equations y = 2x + 4 2x + 2y = 14

29. 10. Solve the system of equations 2x – 6y = 12 x = 3y + 4

30. 11. Solve the system of equations 6x – 4y = 10 2x + 4y = 14

31. 11. Solve the system of equations 6x – 4y = 10 2x + 4y = 14

32. 12. Solve the system of equations (Multiple Choice - show 2x - 4y + 2z = 14 3x + 2y + z = -5 2y = -4 A: (10, 2, 4) B: (3, -2, 0) C: (1, -2, 4) D: (2, 3, 9) E: (-2, -2, 5)

33. 13. If 2x +2 y + 8z = 18 and x + y + 8z = 24, what is the value of x + y? (Multiple Choice – show work!) A: 42 2x + 2y +8z = 18 B: 6 --( x + y + 8z = 24) C: -6 x + y = -6 D: 14

34. Des

35. 14. Two graphs are shown to the right, f(x) and g(x). a. What is the parent function for these graphs? b. What transformations are occurring? c. Write an equation for both f(x) and g(x).

36. 15. Two graphs are shown to the right, f(x) and g(x). a. How is f(x) transformed to create g(x) b. What is the equation of g(x) A. g(x) = f(x – 2) B. g(x) = f(x) – 3 C. g(x) = -f(x+2) D. g(x) = - f(x – 2)

37. 16. The graph of a function, f(x), is dilated vertically by a factor of 2, reflected across the x-axis, and then translated to the right 3 units. Which function describes these transformations? (Multiple Choice) A. g(x) = 2f(-x + 3) B. g(x) = -2f(x) + 3 C. g(x) = -2f(x – 3) D. g(x) = -2f(x+3)

39. 17. The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days. Use the 68 – 95 – 99.7 rule to answer the following questions. Show your work. (a) Estimate the 95% of human pregnancies (b) What percent of pregnancies last between 250 and 298 days?

40. Tickets Sold 448601297533523493320 Money made 3357.004495.502011.503784.503334.503604.502353.50. The manager of a concert hall keeps data on the total number of tickets sold and the money made for each event. The concert hall holds a max of 750 people and two different ticket prices are offered. The data is shown below. I

41. Tickets Sold 448601297533523493320 Money made 3357.004495.502011.503784.503334.503604.502353.50