Honors Algebra II Final Exam Review Name________________________________ 1. Find the quotient: 3 2 5 7 2 2 x x x x 2. Find the quotient: 3 2 2 17 23 42 2 7 x x x x 3. Find the difference: 2 2 9 3 7 4 8 9 x x x x 4. Multiply: 3 8 4 2 5 7 x x x 5. Simplify: 5 2 3 1 4 xy xy 6. Simplify: 6 3 5 3 5 6 2 4 xy xy 7. Solve: 5 3 3 15 18 x x x
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Honors Algebra II Final Exam Review - Typepad · Honors Algebra II Final Exam Review 8. Factor completely: 2xx2 9. Factor completely: 6xx2 10. Factor completely: 8x4 11. Factor completely:
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Honors Algebra II Final Exam Review Name________________________________
1. Find the quotient: 3 25 7 2 2x x x x
2. Find the quotient: 3 22 17 23 42 2 7x x x x
3. Find the difference: 2 29 3 7 4 8 9x x x x
4. Multiply: 3 8 4 2 5 7x x x
5. Simplify:
52 3
14
x y
xy
6. Simplify: 6 3
5 3 5 62 4x y x y
7. Solve: 5 33 15 18x x x
Honors Algebra II Final Exam Review
8. Factor completely: 26 12x x
9. Factor completely: 220 7 6x x
10. Factor completely: 43 48x
11. Factor completely: 26 5 3 3x x
12. Factor completely: 2 2 26 4 3 2x x xy y
13. Find all the factors, zeros, and x-intercepts: 3 26 4 24f x x x x
14. Find all the factors, zeros, and x-intercepts: 4 3 22 5 12 4f x x x x x
15. Find all the factors, zeros, and x-intercepts: 4 3 25 4 20f x x x x x
Honors Algebra II Final Exam Review
16. Find the value of k so the remainder is 7: 3 2 9 2x kx x
17. Find the value of k so the remainder is 1: 2 3 3x x x k
18. Given the graph:
Degree: Even / Odd
Leading Coefficient: Positive / Negative
How many relative maxima?
How many relative minima?
Least possible degree of the polynomial?
Real zeros:
Known factors from real zeros:
Domain:
Range:
19. Write a polynomial function of least degree with a leading coefficient of 1 given the
following zeros: 4, 7 5
20. Write a polynomial function of least degree with a leading coefficient of 1 given the
following zeros: 0 (double root), 3 2i
Honors Algebra II Final Exam Review
21. Given the functions below, perform the indicated operations:
28 9 2 1f x x g x x h x x
(a) g h x (b) g f x (c) 3f g (d) 2f g h
22. Simplify: 12 9
32
343
27
x y
z
23. Simplify:
1 1
3 3
3 2
3x x
x
24. Simplify: 249 56 16x x
25. Solve: 2 1 5x x
26. Solve: 2
31 16
2 43 3
x
27. Solve: 25 5x x
Honors Algebra II Final Exam Review
28. Find the inverse of the following:
(a) 2
16 6 9f x x (b) 32 6
9
xg x
29. Verify algebraically that the following functions are inverses of each other:
3 9f x x and 1
33
g x x
30. Use 9log 7 0.8856 and 9log 4 0.6309 to evaluate the following:
(a) 9
7log
4 (b) 9log 28 (c) 9log 324 (d) 9
112log
36
31. Evaluate: 7log 57
x
32. Evaluate: 97log 7
33. Evaluate: 3lnln4ee
Honors Algebra II Final Exam Review
34. Evaluate:
1
3
1ln
e
35. Expand:
3
2
2ln
x y
w z
36. Condense: 1 1
log2 log 2log log2 2
w y z
37. Solve: 27 7log 6 log 4x x x
38. Solve: 216 16
1log 9 5 log 1
2x x
39. Solve: 3 35 4x x
40. Solve: 9 9 9
1 1log log 64 log 81
3 4x
Honors Algebra II Final Exam Review 41. Graph 2log 3y x