Algebra 2 Final Exam Review Name:______
USE A SEPARATE SHEET OF PAPER TO SHOW ALL OF YOUR WORK.
1. Solve for x.
2. Find the error and show the correct solution.
3. . Find f(2.75).
4. Determine the shape, x- and y-intercepts, domain and range for .
5. Solve
6. Multiply.
a. b.
7. Identify the sequence as arithmetic or geometric and write the equation that gives the equation that
gives the terms of the sequence.
a. 48, 24, 12, 6, 3, … b. –4, 3, 10, 17, 24, …
8. Rewrite in simpler form.
a. b.
9. Solve:
10. Solve:
11. The new Bamo Super Ball has a rebound ratio of 0.97. If you dropped the ball from a height of
125 feet, how high will it bounce on the tenth bounce?
12. A savings account has a balance of $5000. What amount will be in the account after 5 years with a
simple interest rate of 5%?
13. Refigure the amount in #12 with a monthly compound interest rate of 4.5% for five years.
14. Determine the equation of the exponential curve with an asymptote y=0 the passes through the points
(1, 21) and (2, 147).
15. Factor.
a. b.
16. Sketch the graphs including any key or locator points. State the parent graph.
a. b.
c. d.
e. f.
g.
17. Explain how to determine whether a graph is a function.
18. Rewrite in graphing form.
a. b.
19. Write the equation of the line that passes through (-6, -9) and (-4, 13).
20. Find the x- and y-intercepts of .
21. Determine the slope of a line between the points and the distance between the points: (2, -11) and (-9, -3).
22. Solve the systems (rewrite, look inside, undo).
a. b.
23. Solve the system by graphing.
24. Solve for y.
a. b.
25. Write the equation of the inverse. Sketch the graph of the inverse.
a. b.
26. Rewrite each logarithmic equation as an exponential equation and vice versa.
a. b. c. d.
27. Solve.
a. b. c. d.
28. Sketch the graph.
a. b. c.
29. Use integer or rational exponents to rewrite each expression as an exponential with a base of x.
a. b. c.
30. Solve:
31. Find the equation of the parabola passing through the three points (-2, -32), (0, -10), and (2, -12).
32. Solve for x.
a. b.
33. Solve.
a. b. c.
34. Sketch the graph of the polynomial. Include key points.
a. b.
35. State whether or not each of the following is a polynomial function. If it is, give the degree. If it
not, explain why not.
a. b.
36. Solve:
37. Simplify.
a. b. c.
38. Divide by .
39. Put the equation of the parabola in graphing form:
40. Solve
41. Simplify (6 – i)(3 – 7i)
42. Simplify i31
43. Find the distance between (4, -6) and (-8, 1) using the distance formula.
44. What is in radians?
45. What is radians in degrees?
46. Evaluate each of the following: f(0) = sin x f(0) = cos x f(0) = tan x
47. Find the coordinate point for point B that has been rotated around the unit circle for each degree given below.
- 15° b. 30° c. 45° d. 60° e. 90° f. 180°
48. Simplify completely: a.
49. Sketch each parent function given below. Also, identify the locator point and any asymptotes.
- y = log x b. y = 10x c. y = 1/x d. y = x3
50. Graph the sine function y = 3 sin (4x) + 2. Identify the amplitude, period, equation for the midline, horizontal shift and vertical shift.
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