1. Final exam preparation questions
Precalculus Spiral
Final exam preparation questions
Algebra
Graphing
Exponential
Trigonometry
Stat/probability

2. Functions: find f(2) and f(-3)
1.)
2.)
3.)

3. Composition: find f(g(x))
1.)
2.)
3.)

4. Operations: Subtract and multiply
1.)
2.)
3.)

5. Y = mx + b
1.) (-3, 2), (-4, 1)
2.) (5, -2), (2, 4)
3.) (-3, 4), (2, 4)

6. Inverse: find f-1
1.)
2.)
3.)

7. Synthetic Division: divide
1.)
2.)
3.)

8. Parent graphs Draw the parent graphs for:
Find Domain and Range for each graph

9. Transformations- describe them
1.)
2.)
3.)

10. Transformations- write equation
1.) x2, up 2, left 5, reflect over x-axis
2.) absolute value, wider, right 2
3.) square root, thinner, down 3

11. Transformations: find them from graph, then find the domain

12. Piecewise- find equation

13. Piecewise: Graph
1.)
2.)

14. Domain- equation
1.)
2.)
3.)

15. Asymptotes- equation-VA &HA
1.)
2.)
3.)

16. Asymptotes- graph-VA &HA

17. Roots-given roots- find equation, then graph
1.) roots of 3 and -5,
2.) roots of 2, -2, 0
3.) roots of 2, 2i, -2i

18. Roots- roots from graph

19. Roots- Find roots from equation
1.)
2.)
3.)

20. Factor: trinomials and grouping
1.)
2.)
3.)
4.)

21. Quadratic formula:
1.)
2.)
3.)

22. Graph
1.)
2.)
3.)

23. Solve- log and ln
1.)
2.)
3.)
4.)
5.)
6.)
7.)
8.)
9.)

24. Properties: expand
1.)
2.)
3.)

25. Properties: condense
1.)
2.)
3.)

26. Word problems- interpret variables Compounded Continuous Population

27. Word Problems
1.) If $3000 is invested at 3.5% interest compounded quarterly, what is the value after 10 years?
2.) If $9500 is invested at 5% interest compounded daily, what is the value after 7 years?
3.) Problem # 2 compounded continuously.

28. Word Problems (2)
4.) You invest $2500 in an account that earns 7% interest compounded continuously. When will it double?
5.) You invest $4550 in an account that earns 4.5% interest compounded continuously. When will it be worth $10,000?
6.) You invest $1000 in an account that is compounded monthly. In 5 years it is worth $ Find the rate.

29. Word Problems (3)
7.) The initial amount of bees is 50. They grow at a rate of 10% a day compounded continuously. Find the number of bees in 20 days.
8.) The initial amount of a mass of radium is 4.5 tons. It decays at a rate of -.5% compounded continuously. Find the amount of radium in 100 years.

30. Convert
To degrees:
1.)
2.)
3.)
To radians:
1.) 225°
2.)-300°
3.) 280°

31. Evaluate
1.)
2.)
3.)
4.)
5.)
6.)

32. Given trig- find trig 1.) If sinΘ = ¾ in quadrant II, find cotΘ
2.) If cosΘ = -2/7 in quadrant III, find sinΘ
3.) If cscΘ = 3 in quadrant I, find tanΘ

33. Graph- describe the graph
1.) y = 3cosΘ -2
2.) y = cos(Θ-2)
3.) y = 3cos 2Θ -2
4.) y = 3cos(2Θ-2)
1.)
2.)
3.)

34. Simplify
1.)
2.)
3.)

35. Solve
1.)
2.)
3.)
4.)

36. Law of Sines
1.)
2.)
3.)

37. Law of Cosines 1.)a = 3, b = 5, c = 7, angle A = ?
2.) a = 4, b = 8, c = 11, angle B = ?
3.) a = 2, b=7, c = 8, angle B = ?

38. Combinations
1.) From a group of 10 men and 12 women, how many committees of 5 men and 5 women be formed?
2.) From a group of 14 men and 8 women, how many committees of 5 men and 6 women be formed?
3.) From a group of 12 men and 15 women, how many committees of 6 men and 4 women be formed?

39. Independent/dependent
1.) A license plate has 7 characters in it where the first 4 are letters and the last 3 are numbers. If numbers and letters are allowed to be repeated, how many can be created?
2.) A license plate has 7 characters in it where the first 4 are letters and the last 3 are numbers. If numbers and letters are not allowed to be repeated, how many can be created?
3.) A license plate has 7 characters in it where the first 4 are numbers and the last 3 are letters. If numbers and letters are allowed to be repeated, how many can be created?

40. Replacement
You have 3 green, 5 purple, and 6 red pens. Two are chosen at random without replacement. Write an expression describing:
Red then green
Red then red
Purple then red
Purple then green
Purple then purple
Green then purple

41. Histograms

42. Box and Whisker/IQR/Q1Q2Q3