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Prentice Hall Algebra 2 • Progress Monitoring AssessmentsCopyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.

127

A N S W E R S

Screening Test1. B 2. H 3. C 4. H 5. C 6. F 7. B 8. F 9. B 10. H 11. A 12. F 13. A 14. H 15. D 16. J 17. D 18. F 19. A 20. G 21. C 22. G 23. B 24. H 25. B 26. H 27. C 28. J 29. C 30. F 31. B 32. G 33. D 34. F 35. C 36. J 37. A 38. G 39. B 40. J 41. B 42. G

Benchmark Test 11. D 2. F 3. B 4. H 5. B 6. G 7. D 8. H 9. D 10. F 11. B 12. G 13. A 14. H 15. D 16. H 17. D 18. G 19. B 20. H 21. A 22. J 23. C 24. H 25. A 26. F 27. D 28. G 29. C 30. J 31. D

Benchmark Test 21. B 2. G 3. A 4. J 5. C 6. G 7. C 8. F 9. D 10. F 11. C 12. G 13. B 14. H 15. B 16. F 17. B 18. F 19. D 20. G 21. C 22. H 23. C 24. G 25. D 26. J 27. C 28. J 29. C 30. H

31. C 32. G 33. B 34. F

Benchmark Test 31. A 2. J 3. B 4. H 5. D 6. G 7. A 8. H 9. A

10. G 11. D 12. G 13. C 14. G 15. C 16. F

17. A 18. G 19. D 20. G 21. D 22. H 23. B

24. J 25. A 26. G 27. A 28. G 29. A 30. G

Benchmark Test 41. D 2. H 3. A 4. G 5. B 6. F 7. C 8. G 9. C 10. J 11. C 12. H 13. D 14. F 15. B 16. H 17. C 18. J 19. A 20. F 21. B 22. J 23. B 24. J 25. C 26. J 27. A 28. H 29. D 30. G

31. A 32. G 33. D

Benchmark Test 51. C 2. F 3. C 4. G 5. A 6. G 7. A 8. H 9. B 10. F 11. D 12. G 13. C 14. H 15. B 16. G 17. D 18. F 19. D 20. F 21. B 22. H 23. A 24. G 25. D 26. G 27. C 28. G 29. A 30. F 31. D 32. J 33. D 34. H 35. D 36. G 37. C

38. J 39. D 40. H 41. D 42. F

Benchmark Test 61. D 2. G 3. D 4. F 5. B 6. H 7. D 8. F 9. C

10. J 11. D 12. F 13. C 14. G 15. C 16. J 17. B

18. H 19. B 20. F 21. C 22. F 23. C 24. G

25. B 26. G 27. C 28. G 29. D 30. J

Quarter 1 Test, Form G 1. 28 2 2i 2. a 2 6b 3. 212 1 2i 4. 22 2 7i

5. 5 6. 24 7. 3, 24 8. 24 6 i "2

9. x $ 212

10. x , 8

3 and x . 0

11. x $ 24 and x # 3

12. 28 13. undefi ned 14. 21

2;

1

4 15. domain:

{1, 2, 3, 4}; range: {22, 26, 210, 214};

function 16. domain: {22, 21, 1, 2, 4, 5}; range:

{23, 21, 1, 2, 3}; not a function

17.

18.

19. (4, 22) 20. a2

2

5, 2

7

5, 4b

21. 600 $25 tickets and 900 $15 tickets

�11�12�13�14 �10 �9 �8 �7

�5�4�3�2�1 0 54321

�5�4�3�2�1 0 54321

O

4

2

�2

�2

�4

�4 42 x

y

O

4

2

�2

�2

�4

�4 42 x

y

PHS4675_NAA2_ANS_p127.indd 127PHS4675_NAA2_ANS_p127.indd 127 6/9/11 9:44:34 AM6/9/11 9:44:34 AM


128

A N S W E R S ( C O N T I N U E D )

22. d2x 1 3y # 12

2x 1 y # 8

x $ 0

y $ 0

23. ƒ(x) 5 23(x 2 1)2 2 5

24. y 5 2x2 1 2x 2 3

25.

Quarter 2 Test, Form G1. 3x3 2 9x2 2 12x; cubic trinomial

2. 0, 4, 25 3. 21, 2.26 4. 21, 3

2, 3 5. 22, i, 2i

6. ƒ (x) 5 x3 2 5x2 2 26x 1 120 7. x 1 3

8. 16x4 2 32x3y 1 24x2y2 2 8xy3 1 y4

9. 24a2b"3 3a 10. 2 11. "5 8

8

12. "3 1 "2 1 "15 1 "10

13. 23 14. 246

15. domain: 5x ux $ 236, range: 5y uy $ 216

16. 2x 1 3 5 y; function 17. exponential growth

18. exponential decay 19. log5 xw5

y3

20. 0.1353 21. 1

2 22. 4 23. 2 24. 6.19 25. 1.58

Quarter 3 Test, Form G1. inverse variation; xy 5 36

2. direct variation; y 53

2 x

3. 11x 1 7

x2 2 x 2 6 4. 24 5. geometric; r 5 23

6. a1 5 8; an 51

2 an21; an 5 8a1

2bn21

; 1

128

7. 33 8. 68 9. 8; 22; 19; 68 10. (5, 8); 13

11. (9, 21); "7 12. (68, 0)

13. ellipse; foci (0, 65)

14. parabola; focus (0, 7); directrix y 5 27

15. circle; center (5, 27); radius 5 4

16. x2

161

y2

95 1 17. x 5 5

18. 6.40 19. x2 2 25

x2 1 x 2 12

20. Focus 5 (0, 6); directrix y 5 26

21. Th e graph of the new equation is a

translation of y by 3 units to the left and 12 units

upward. Th e new equation is y 54

x 1 31 12.

22. 1

4; x 2 4, 24, 0 23. an 5 an21 1 n(n 2 1)

24. 38, 24, 10 25. 16 or 216

Quarter 4 Test, Form G

1. 7

15 2.

3

7 3. 62%; 30% to 34%

4. about 25% 5. 76 athletes

6. 5

22 7.

8

33 8. c16 8 4 25

4 27 22 25d

9. c 3 10

216 13d 10. c20.4 20.1

0.3 0.2d 11. 48

O

4

6

2

�2

�2 4 6x

y

(2, �1) (x � 2)

O

2

�2

�2

2x

y

PHS4675_NAA2_ANS.indd 128PHS4675_NAA2_ANS.indd 128 5/23/11 3:22:14 PM5/23/11 3:22:14 PM


129

A N S W E R SA N S W E R S ( C O N T I N U E D )

12. c 2 1 0

23 1 25d 13. periodic; period 5 4,

amplitude 5 3

2 14. 30 15.

5p

4; k210,3l

16. y 5 cos ax 1p

4b 17. about 55,070 km

18. 2; 4

19.

20.

21.

22. tan2 u 23. 308

24. 3

5; 0.6 25.

#2 1 "2

2

Mid-Course Test, Form G1. 225 2. 6x 1 48y

3. domain: {23, 22, 0, 1}; range: {22, 2, 3}; no it is

not a function 4. 24 5. 0 6. 24; 212

7.

8.

9. (4, 22, 1)

10.

11. par-3 5 4, par-4 5 10 and par-5 5 4

12. y 5 x2 1 2x 1 5 13. (5, 0); (8, 0); (4, 2)

14. y 5 x2 2 6x 1 4

15. x 5 1; (1, 26)

16. 213 2 2i 17. 1 2 21i 18. 3

2 19.

5

2;

1

3

20. 8 1 5i

O

2

2�2

p 3pp

y

2u

O

2

2�2

p 3pp

y

2

u

O

2

�2

�2

2 x

y

O

4

�4

�4

4x

y

6

�4

4

4

y

x

z

O�4

�4

�8

4x

y



130

A N S W E R SA N S W E R S ( C O N T I N U E D )

21. f (x) 5 2(x 2 1)2 1 5

22. 8; 2 real, 0 imaginary 23. 22.37; 1.16

24. f (x) 5 x3 1 5x2 2 2x 2 24

25. 23, 3 6 3i"3

2 26. x 2 7

27. x4 2 2x3 1 4x2 2 8x 1 16

28. 2x3 2 2x2 2 4x; cubic; trinomial

29. 32x5 1 80x4y 1 80x3y2 1 40x2y3 1

10xy4 1 y5 30. a5b6"3 ab 31. 2x"3 x2

32. 7"3 2 7"2 33. 2, 21 34. 4

35. domain: 5x u x $ 256; range: 5y uy $ 236

36. y 5 6"x 1 5; not a function 37. 32

38. 18 years 39. y 5 12,000(1 2 0.018)t

40. 22 1 i, 22 2 i 41. x 5 2c(d 2 20)

42 23 43. log6 ac2

b 44. 3 45. 20.9730

Final Test, Form G1. 21 # x # 6

2. 2

1

7 3. domain 5 {0, 2, 4}; range 5 {21, 3, 7, 9};

not a function 4. 9

7

5.

6. x 5 2; (2, 22)

7. 22 2 23i 8. 24 6 "10

3

9. 1.29, 2.46

10. 24, 1, 21 6 i "23

4

11. 32x5 2 80x4y 1 80x3y2 2 40x2y3 1 10xy4 2 y5

12. 5 13. 8x2 1 11

14. domain: 5x ux $ 246; range: 5y uy $ 236

O

4

�4

�4

4x

y

O

4

�4

�4

4 x

y

�2 �1 0 5 6 74321

O

4

2

�2

�2

�4

�4 42x

y

O

4

2

�2

�2

�4

�4 42x

y

O

4

2

�2

�2

42x

y

O

2

�2

�2

�4

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y



131


15. y 55x 2 1

2; function 16. exponential decay

17. log ab

cd2 18. 24 19. 219.53, 16.87

20. direct variation; y 57

8 x 21. y 5

3

x 1 51 14

22. (23, 0), (3, 0)

23. (0, 3), (0, 23)

24. (4,0); y 5x2

16 25. (3, 26); r 5 7

26. a1 5 14; an 5 an21 2 9; an 5 29n 1 23; 258

27. arithmetic; d 5 12 28. geometric; r 5 4

29. 81 30. 10; 21; 17; 80

31. 22 32. $8370.79 33. 5005 committees

34. 21

80 35.

119

220

36. 5x2 1 9x 2 4

(x 1 1)(x 2 1)(x 2 3), x 2 21, x 2 1, x 2 3

37. 2.5% 38. c 1.5 21

22.5 2d 39. 286

40. not periodic

41. periodic; period 5 4; amplitude 5 1

42. 1508, 2108

43. 2cot2 u

44. 2608

45. $2 1 "3

2

Quarter 1 Test, Form K

1. 22 2 8i 2. 24a 1 6 3. 5i "3 4. 8 2 i

5. 1 6. 22 7. 25, 5 8. 21 4 i"3

9. x , 6

10. x # 29 or x $ 5

11. x , 3 or x . 8

12. 3 13. 24 14. 7 15. domain: {2, 3, 5}; range:

{24, 0, 2} 16. Yes, it is function.

17.

O

1

�2�1

�4 42x

y

O

4

2

�2

�2

�4

�4 42x

y

60

5�9

83

x

y

4

2

�2

�4

�4 �2 42

PHS4675_NAA2_ANS_p127,131,132.indd 131PHS4675_NAA2_ANS_p127,131,132.indd 131 6/8/11 9:41:00 AM6/8/11 9:41:00 AM


132


18.

19. (2, 2) 20. (4, 22, 3)

21. Th e veterinarian had 55 routine cat

appointments and 85 routine dog appointments

that week.

22. d4x 1 3y # 44

x 1 y # 15

x $ 0

y $ 0

23. y 5 2(x 1 6)2 2 4

24. y 5 x2 2 6x 1 5

25. (1, 2); x 5 1


1. 23y 3 1 2y2 1 y 2. 0, 22, 25 3. 21, 3 4. 1

25. 0, 2i, i 6. (x 1 2)(x 2 5)(x 2 8) 7. x2 1 7x 1 2

8. x4 2 20x3 1 150x2 2 500x 1 625

9. 24b3 10. "2x

x 11.

1

4 12. 24"5

13. 25

4 14. 2x2 1 x 2 5

15.

domain: 5x ux $ 06 ; range: 5y uy $ 23616. y 5

2 2 x

3; Yes

17. exponential growth 18. exponential decay

19. log2 10 20. 1.3956

21. 4 5 log3 81 22. 2 23. 4 24. 5 25. x 5 3


1. y 5 20

x 2. y 5

6

x 3.

1

xy 4. 3

5. geometric; r 5 5

6. a1 5 23, an 5 an21 1 3; an 5 23 1 3(n 2 1); 12

7. 25 8. 364 9. a7

n51

3n 10. x2 1 y2 5 16

11. (23, 7), r 5 5 12. (3, 0), (23, 0)

13. (4, 0), (24, 0) 14. parabola

15. x2 1 (y 1 7)2 5 9

16. (25,0), (5,0), (0,23), (0,3); horizontal 17. y 5 4

18. y 1 1 5 3(x 1 2)2 or y 5 3(x 1 2)2 2 1

19. 27

16 20. x 5 2

1

20y2

y

xO�1�4 4 53

�4�3�2

�5

23

1

45

21

y �x �2x�y �3

x

(1, 2)

x � 1

y

4

2

�2

�4

�4 �2 42

x

y

2

�2

�4

�6

4 6 82

PHS4675_NAA2_ANS_p127,131,132.indd 132PHS4675_NAA2_ANS_p127,131,132.indd 132 6/8/11 9:41:11 AM6/8/11 9:41:11 AM


133


21.

22. 1, x ? 21, 1 23. 1, 5, 9, 13, 17, 21

24. 795 25. 39,366


1. 56

100 5 0.56 2.

24

53 < 0.45

3. 66% 4. 0.3456 5. 95% 6. 1

6 7.

2

3

8. f12 31g 9. c21 3

21 2d 10. c21 1

3 22d

11. 210 12. c23 21 0

3 5 1d 13. 1 14. 10

15. k3,3l 16. y 5 sin(x 1 10)] 17. 8p

15 18. 4

19. 2, 10 20. 1.25, 4.39

21.

22. csc u 23. 458 24. 2 25. "3

2

Mid-Course Test, Form K

1. 8 2. 7x 2 21

3. domain: {0, 2, 5}; range: {3, 5} 4. 1

55. 0 6. 4

7.

8.

9. (5, 2)

10.

11. I bought 4 sweaters and 7 scarves.

12. y 5 x2 1 x 2 5

13. (0, 0), (0, 4), (2, 0)

x

x � 3

y � �2

y

O

2

�2

�4

�6

�8

�4 �2 42

x

y

4

2

�2

�4

�4 �2 42

y

xO�5 4 53

56

4

23

1

78

21�2y �x �3

y �2x



134


14. (0, 21); x 5 0

15. (23, 28); 10 16. 28 1 3i 17. 9 1 2i

18. 26, 5 19. x 5 24, x 5 9 20. 10 2 3i

21. y 5 9(x 1 3)2 2 4; (23, 24); x 5 23

22. 1; two real solutions; zero imaginary

solutions 23. x 5 21.83, x 5 3.83

24. f (x) 5 x(x 1 1)(x 2 3) 25. 24, 2, 5 26. no

27. x2 2 x 2 4 28. 23z3 1 5z2 1 z; cubic;

trinomial 29. x4 2 8x3 1 24x2 2 32x 1 16

30. 2xy2"3x 31. 2y2"3 3 32. 23 2 3"3

33. x 5 3 34. 6

35. domain: 5x|x $ –66; range: 5y|y $ 06

36. y 5 6"x 1 5; No 37. 5 38. 44,314 ft3

39. $1217 40. 22i, 2i 41. x 5bc

a 42. 3

43. log3x

4 44. 8 45. 2.3

Final Test, Form K1. 27, 11 2. 3 3. domain: {22, 1, 6};

range: {0, 4, 5} 4. 2

5.

6. , (0, 1), x 5 0

7. 23 1 2i 8. 29, 4

9. 26, 0, 5

10. 25, 5, 5i, 25i

11. x4 1 8x3 1 24x2 1 32x 1 16 12. 4

13. 22x2 1 2x 1 2 14. y 5 "x 1 4 1 6

15. y 5 2

x 1 1

4 16. exponential growth

17. log2 x4y3 18. log5 125 5 3 19. ln 4

20. y 564

x 21. horizontal: y 5 5; vertical: x 5 8

22. (0, 23), (0, 3) 23. (23, 0), (3, 0) 24. y = 5x2

25. (21,22); r = 4 26. 7, 18, 29, 40, 51, 62

27. arithmetic; d 5 3 28. geometric; r 5 1

2

x

x � 0

y

(0,�1)

4

2

�2

�4

�4 �2 42

y

xO�2�4 4 53

�4�5

23

1

45

2

y �x �2

y �3x �1

x

y

(0,1)

4

2

�2

�4

�4 �2 42

y

xO�8 8 106

�60�75

�30�45

�15

15

6075

42�4

y �x3�x2�30x



135


29. 3584 30. 140 31. 22, 24 32. $3664.21

33. 56 34. 5

21 35.

18

33< 0.55

36. 9a2 1 2b2

6ab, a 2 0, b 2 0

37. about 68% 38. no inverse 39. 21 40. 2 41. 242. 1208, 2408 43. cos u 44. 1808 45. 0.62

End-of-Course Assessment Part I1. A 2. C 3. B 4. C 5. D 6. A 7. C 8. D 9. A

10. A 11. B 12. B 13. B 14. A 15. C 16. D

17. B 18. C 19. A 20. A 21. C 22. A 23. D

24. C 25. x2 2 x 1 4 26. 26"2 27. 3 inches

28.

29. Part A: c ,1

4. Th e roots are real when

D 5 b2 2 4ac 5 1 2 4c . 0. Part B: Answers will

vary. Sample answer: If c 5 0 then

x 521 6 "12 2 4(1)(0)

2(1)5

21 6 1

2, so x 5 0

or x 5 21.

30. Part A: Th e maximum height is at the vertex

of the parabola, where t 5232

2(216)5 1. Th e ball

reaches its maximum height after 1 second.

Part B: When t 5 1, h 5 216(1)2 1 32(1) 1 50 5 66.

Th e height of the ball is 66 ft.

End-of-Course Assessment Part II31. C 32. A 33. D 34. B 35. C 36. C 37. D

38. A 39. A 40. A 41. D 42. A 43. B 44. A

45. B 46. B 47. C 48. C 49. C 50. C 51. B

52. D 53. D 54. C 55. about 4 years

56. x < 0.408 57. y 5 x2 1 6x 1 9 58. No;

Sample answer: Th e graph does not pass the

horizontal line test.

59. Part A: e x 1 y 5 50

6x 1 19y 5 638 Part B: 24 used

DVDs and 26 new DVDs 60. Part A: It is

vertically stretched by a factor of 2 and

translated 3 units up. Part B: y 5 2

1

3(x 1 5)3

y

xO�2�4 43

�4�3

34

2

PHS4675_NAA2_ANS_p135.indd 135PHS4675_NAA2_ANS_p135.indd 135 6/8/11 1:20:26 PM6/8/11 1:20:26 PM


136

A N S W E R S : S AT / A C T P R A C T I C E T E S T

Multiple Choice 1. A B C D E 12. A B C D E 23. A B C D E

2. A B C D E 13. A B C D E 24. A B C D E









11. A B C D E 22. A B C D E

Student-Produced Responses 1. 2. 3. 4. 5.

6. 7. 8. 9. 10.

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answers - wikispacesmillermath.wikispaces.com/file/view/hsm12cc_a2_pma_a.pdf · prentice hall...

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