Download 2008 Algebra 2 Accelerated

2008 Algebra 2 Accelerated
Final Exam Review:
Topic List & Suggested Practice
Answer Key
Chapter 5- Quadratics
Pg 266 #1,3, pg 267 #65
1. -4, -2
2. 3, 6
Pg 274 #1-4,41,44
1. 2i
2. i 7
Pg 281 #9, 10
9. 144
Pg 289 #1,10,13-15,31-33
1. 1, 3
10. -1/2, 3/4
13. 3  i 2
3. -1, 3/2
65a. 100 ft
3. i 15
4. 9i
65b. 5 s
41.  5i
44.  i 7
10. 100
14. 1  2i
15. 
3 i 11

2
2
Pg 284 #1-3, use TI-83
1. 36.8 ft
2. 59 ft
3b. The ball reaches 6 ft on the way up and on the way down.
31. -4; two, imaginary
32. 36; two, real
33. 0; one, real
3a. 3.49 ft, 114.51 ft
Pg 244 #30
30. 1000 tires; $20
Chapter 6- Polynomials
Pg 303 #8-12
8. 12x4 + 3; quartic binomial
9. 5x3; cubic monomial
10. -2x3; cubic monomial
11. 5x2 + 4x + 8; quadratic
trinomial
12. –x4 + 3x3; quartic binomial
Pg 303 #22,23, Pg 304 #59
22. y = -0.007990x3 + 0.4297x2 – 6.009x + 43.57; 26.3
23. y = 0.01002x3 – 0.3841x2 + 5.002x + 2.132; 25.4
59a. y = 0.7166x + 47.61, y = 0.0009365x3 – 0.07447x2 + 2.293x + 41.41, y = -0.00004789x4 +
0.004666x3 – 0.1647x2 + 2.980x + 40.78
59b. The quartic model fits the best.
15
59c.  72.2 x10 Btu
Pg 312 #43,45
43. y = 3x(x – 8)(x – 1)
Pg 311 #21,22,25,26
21. y = x3 – 18x2 + 107x – 210
45. y = x2(x + 4)(x – 1)
22. y = x3 + x2 – 2x
Pg 311 #18,19 Do not graph
18. 0, -5, 8
19. -1, 2, 3
Pg 312 #47,48
47. 10.5, -7.1; 3/2, 4, 6
48. 0.9, -6.9, -1.4; 0, -3, -1, 1
Pg 318 #10-18 Even
10. yes
12. no
Pg 324 #12,13,15,21,24,27,29
12. (x + 4)(x2 – 4x + 16)
13. (x – 10)(x2 + 10x + 100)
25. y = x3 + 2x2 – x – 2
26. y = x3 + 6x2 + 11x + 6
14. x2 – 2x + 2
16. x2 + 2x + 5
 3  3i 3
15. 3,
2
21. (x2 – 7)(x – 1)(x + 1)
Pg 333 #1,2,7,8,10
1.  1,2; 1
2.  1,2,3,6; 1,2,3
7. 2,i 5
24. (x – 2)(x + 2)(x – 1)(x + 1)
27.  3,1
29.  4,2i
10.  5,
8. 5,i 7
Pg 333 #19,22,29,30
19. x3 – x2 + 9x - 9 = 0
22. x3 – 3x2 – 8x + 30 = 0
18. -2x2 + 9x – 19 R 40
1 3
2
29. x4 – 6x3 + 14x2 – 24x + 40 = 0
30. x4 – 2x3 – x2 + 6x – 6 = 0
Chapter 7-Radicals
Pg 371 #9,11,14
9. 2 x 5x
11. 5x
2
2x
3
14. 10a b
Pg 371 #24,25,27,28,33
4x
y
2 2
25. 2 x y 2
24.
27.
28.
2x
2
10 x
4x
33.
15 y
5y
3
2b
Pg 382 #1-3,10-12
1. 6
2. 3
3. 7
10.
6
11.
5
x
x
12.
7
x 2 or
 x
7
Rewrite 4x 5/7 as radical
47 x 5
Pg 388 #5,6,11,12
5. 23
6. 2/3
11. 8
12. 0
Pg 418 #26,36-38
26. 16x2 + 8x – 1, 4x2 - 7
36. -5831
37. 192
38. -63
Pg 404 #5,9-11
1
1
x  ; yes
3
3
9. y   x  4 ; no
5. y 
x5
; no
3
11. y  x  1; no
10. y  
Chapter 8- Exponential & Logarithmic Functions
Pg 427 #9,16,17,35-39 Odd
9a. 1.0126
9b. y=6.08(1.0126)x, where x
= 0 corresponds to 2000
16. exponential growth
17. exponential decay
35a. y = 6500(0.857)x
Pg 426 #5, Pg 427 #27
27.
5.
Pg 434 #24-26, 30
24. $2330.65
25. $448.30
26. $1819.76
30. $6168.41
35b. $4091.25
37. 63% increase
39. 35% decrease
2
Pg 456 #21-25 Odd, 58, 60, Pg 457 #40-44 Even
21. 0.0499
60. -1/2
23. 1.0219
40.
25. 0.2009
100 10  1, or  315.2
58. -2
42. 3x108
44. 5
Pg 465 #29, 30
29. 6 years
30. 78%
Chapter 9-Rational Functions
Pg 481 #1-3
1. y = 11/x
2. y = -1300/x
3. y = 1/x
Pg 495 #5,13 Pg 496 #28,29
5. x = -3
13. VA at x=-1, hole at x = 2
29.
28.
Pg 530 #11,12,16
11. hole at x = 2, VA at x = -1, HA at y = 0
12. Hole at x = 0, VA at x = 4, HA at y = 2
16. hole at x = -2, VA at x = 3, HA at y = 0
Pg 501 #5,6, Pg 830 #24,25
5.
2
; x  5
x5
Pg 514 #7-9
7. 7/3
6.
x4
; x  6 or  4
x6
8. 3
24.  ( x  1); x  1,2
25. x  2; x  3,4
9. -1