ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR...
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ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 1
Transcript of ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR...
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ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
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2 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
1 1-ARITHMETIC WITH NEGATIVE NUMBERS EXERCISES
1. Correct Answers:β’ β32β’ β3
3. Correct Answers:β’ β11β’ β9β’ β10
5. Correct Answers:β’ β7β’ 8β’ 0
7. Correct Answers:β’ β4β’ 5β’ 0
9. Correct Answers:β’ β3β’ 3β’ β9
11. Correct Answers:β’ β5β’ β12β’ β12
13. Correct Answers:β’ 3β’ β3β’ 0
15. Correct Answers:β’ 30β’ β8β’ β35β’ 0
17. Correct Answers:β’ β36β’ 160β’ 0
19. Correct Answers:β’ 8β’ β3
21. Correct Answers:
β’ 10β’ β6β’ β4
23. Correct Answers:β’ 10β’ β5β’ β1β’ 1β’ undefinedβ’ 0
25. Correct Answers:β’ 9β’ 64β’ 25β’ β64
27. Correct Answers:β’ 1β’ β1β’ 1β’ 0
29. Correct Answers:β’ 9β’ β100
31. Correct Answers:β’ β1β’ β8
33. Correct Answers:β’ β25.04
35. Correct Answers:β’ 4.47
37. Correct Answers:β’ 7.37
39. Correct Answers:β’ β73.95
41. Correct Answers:β’ 15.01
43. Correct Answers:β’ $1,730
45. Correct Answers:β’ 1720 ft
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ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 3
1 2-FRACTIONS AND FRACTION ARITHMETIC EXERCISES
1. Correct Answers:β’ 2081
3. Correct Answers:β’ 257
5. Correct Answers:β’ β 2833
7. Correct Answers:β’ β20
9. Correct Answers:β’ 370
11. Correct Answers:β’ 2548
13. Correct Answers:β’ β 625
15. Correct Answers:β’ 245
17. Correct Answers:β’ 16
19. Correct Answers:β’ 2
21. Correct Answers:β’ 110
23. Correct Answers:β’ 4960
25. Correct Answers:β’ 1315
27. Correct Answers:β’ 5972
29. Correct Answers:β’ 12
31. Correct Answers:β’ 25
33. Correct Answers:β’ 1027
35. Correct Answers:β’ β 1940
37. Correct Answers:
β’ 15439. Correct Answers:β’ 56
41. Correct Answers:β’ 56
43. Correct Answers:β’ 725
45. Correct Answers:β’ β 715
47. Correct Answers:β’ 12
49. Correct Answers:β’ β 212
51. Correct Answers:β’ 3566
53. Correct Answers:β’ 1415
55. Correct Answers:β’ 19
57. Correct Answers:β’ 740
59. Correct Answers:β’ 16
61. Correct Answers:β’ 150
63. Correct Answers:β’ 116
65. Correct Answers:β’ 135
67. Correct Answers:β’ 900
69. Correct Answers:β’ 110 38
71. Correct Answers:β’ 1 34
73. Correct Answers:β’ 2 14
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4 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
1 3-ABSOLUTE VALUE AND SQUARE ROOT EXERCISES
1. Correct Answers:β’ 9
3. Correct Answers:β’ 4β’ 4β’ β4β’ β4
5. Correct Answers:β’ 5β’ 7β’ 0β’ 17β’ 4
7. Correct Answers:β’ β5β’ 13β’ β10
9. Correct Answers:β’ BCD
11. Correct Answers:β’ 2β’ 4β’ 6
13. Correct Answers:β’ 57β’ DNE
15. Correct Answers:β’ 8
β’ 0.8β’ 80
17. Correct Answers:β’ 10β’ 100β’ 1000
19. Correct Answers:β’ 1β’ 0.1β’ 0.01
21. Correct Answers:β’ 5.29
23. Correct Answers:β’ 611
25. Correct Answers:β’ β9
27. Correct Answers:β’ not a real number
29. Correct Answers:β’ not a real number or 0.181818i
31. Correct Answers:β’ β 59
33. Correct Answers:β’ 2β’ 6
35. Correct Answers:β’ 95
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ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 5
1 4-ORDER OF OPERATIONS EXERCISES
1. Correct Answers:β’ 67
3. Correct Answers:β’ 14
5. Correct Answers:β’ 36
7. Correct Answers:β’ 81
9. Correct Answers:β’ 30
11. Correct Answers:β’ 4
13. Correct Answers:β’ 26
15. Correct Answers:β’ β48
17. Correct Answers:β’ 23
19. Correct Answers:β’ 9
21. Correct Answers:β’ 33
23. Correct Answers:β’ 14
25. Correct Answers:β’ 93
27. Correct Answers:β’ 2
29. Correct Answers:β’ 174
31. Correct Answers:β’ 18
33. Correct Answers:β’ 79
35. Correct Answers:β’ 130
37. Correct Answers:β’ 3
39. Correct Answers:β’ 2
41. Correct Answers:β’ β13
43. Correct Answers:β’ β37
45. Correct Answers:β’ β3
47. Correct Answers:β’ β14
49. Correct Answers:β’ β82
51. Correct Answers:β’ β500
53. Correct Answers:β’ β37
55. Correct Answers:β’ 37
57. Correct Answers:β’ 1
59. Correct Answers:β’ 67
61. Correct Answers:β’ 2
63. Correct Answers:β’ β 395
65. Correct Answers:β’ 28681
67. Correct Answers:β’ β 3160
69. Correct Answers:β’ 3
71. Correct Answers:β’ 16
73. Correct Answers:β’ β38
75. Correct Answers:β’ β42
77. Correct Answers:β’ 9
79. Correct Answers:β’ 15
81. Correct Answers:β’ β3
83. Correct Answers:β’ β7
85. Correct Answers:β’ β30
87. Correct Answers:β’ β160
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6 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
1 5-SET NOTATION AND TYPES OF NUMBERS EXERCISES
1. Correct Answers:β’ {β1,1}
3. Correct Answers:β’ {16,25,36,49,64,81}
5. Correct Answers:β’ AB
7. Correct Answers:β’ ABCH
9. Correct Answers:β’ ABCDEG
11. Correct Answers:β’ CG
13. Correct Answers:β’ ABCDEFGH
15. Correct Answers:
β’ Fβ’ Tβ’ Fβ’ Fβ’ F
17. Correct Answers:β’ DNE or NONEβ’ any of β1,β2,β3, . . .β’ many possibilities: 12 ,2.3, . . .β’ many possibilities:
β2,Ο, . . .
β’ DNE or NONE19. Correct Answers:β’ 19920
21. Correct Answers:β’ 2899
23. Correct Answers:β’ 2159330
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ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 7
1 6-COMPARISON SYMBOLS EXERCISES
1. Correct Answers:β’ 10 > 8 > 5 >β3 >β9
3. Correct Answers:β’ 7.48 > 3.67 > 1.68 > 1.11 >β5.73
5. Correct Answers:β’ 10 > 7 >β 13 >β
207 >β10
7. Correct Answers:β’ 3 >
β3 >β
2 > 35 >27 >β5
9. Correct Answers:β’ Falseβ’ Trueβ’ Trueβ’ Trueβ’ Falseβ’ False
11. Correct Answers:β’ Falseβ’ False
β’ Trueβ’ Trueβ’ Trueβ’ True
13. Correct Answers:β’ <
15. Correct Answers:β’ >
17. Correct Answers:β’ >
19. Correct Answers:β’ <
21. Correct Answers:β’ <
23. Correct Answers:β’ =
25. Correct Answers:β’ True
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8 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
1 7-NOTATION FOR INTERVALS EXERCISES
1. Correct Answers:β’ {x | x > 3}β’ (3,β)β’ {x | xβ₯β4}β’ [β4,β)β’ {x | x < 4}β’ (ββ,4)
3. Correct Answers:β’ {a | a >β2.5}β’ (β2.5,β)
5. Correct Answers:β’ {B | Bβ₯β0.5}β’ [β0.5,β)
7. Correct Answers:β’ {p | p < 1}β’ (ββ,1)
9. Correct Answers:β’ {r | r β€ 3}β’ (ββ,3]
11. Correct Answers:β’ (ββ,β9]
13. Correct Answers:β’ [β4,β)
15. Correct Answers:β’ (ββ,1)
17. Correct Answers:β’ (5,β)
19. Correct Answers:β’ (ββ,10)
21. Correct Answers:β’ (ββ,β6]
23. Correct Answers:β’ [β2,β)
25. Correct Answers:β’ (3,β)
27. Correct Answers:β’( 9
10 ,β)
29. Correct Answers:β’(ββ,β 14
]31. Correct Answers:β’ (ββ,0]
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ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 9
2 1-VARIABLES AND EVALUATING EXPRESSIONS EXERCISES
1. Correct Answers:β’ 11
3. Correct Answers:β’ β19
5. Correct Answers:β’ 6
7. Correct Answers:β’ β40
9. Correct Answers:β’ 12
11. Correct Answers:β’ β52
13. Correct Answers:β’ 34
15. Correct Answers:β’ 1727
17. Correct Answers:β’ β 254
19. Correct Answers:β’ 36β’ 81
21. Correct Answers:β’ 125β’ β125
23. Correct Answers:β’ 32β’ 64
25. Correct Answers:β’ β4β’ β8
27. Correct Answers:β’ 9β’ 27
29. Correct Answers:β’ 12β’ β48
31. Correct Answers:β’ 15β’ 12β’ β12β’ 270
33. Correct Answers:β’ β3
35. Correct Answers:β’ 70
37. Correct Answers:β’ 176
39. Correct Answers:
β’ 413441. Correct Answers:β’ 23
43. Correct Answers:β’ 358
45. Correct Answers:β’ 13
47. Correct Answers:β’ 629
49. Correct Answers:β’ β 367
51. Correct Answers:β’ 140 m2β’ 48 m
53. Correct Answers:β’ 120 ft2
55. Correct Answers:β’ 16920 in2
57. Correct Answers:β’ 143 m2
59. Correct Answers:β’ 6Ο mβ’ 18.85 mβ’ 9Ο m2β’ 28.27 m2
61. Correct Answers:β’ 46644 in3
63. Correct Answers:β’ 780 in3
65. Correct Answers:β’ 324Ο m3β’ 1017.88 m3
67. Correct Answers:β’ 10.4 m
69. Correct Answers:β’ β5 degC
71. Correct Answers:β’ 36.08
73. Correct Answers:β’ 31.4%
75. Correct Answers:β’ 141
77. Correct Answers:β’ 10 ft
79. Correct Answers:β’ 4.26 ftβ’ 3.66 ft
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10 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
2 2-EQUATIONS AND INEQUALITIES AS TRUEFALSE STATEMENTS EXERCISES
1. Correct Answers:β’ No
3. Correct Answers:β’ No
5. Correct Answers:β’ No
7. Correct Answers:β’ No
9. Correct Answers:β’ No
11. Correct Answers:β’ Yes
13. Correct Answers:β’ Yes
15. Correct Answers:β’ No
17. Correct Answers:β’ Yes
19. Correct Answers:β’ isβ’ is notβ’ is notβ’ is not
21. Correct Answers:β’ is notβ’ isβ’ isβ’ is
23. Correct Answers:β’ is notβ’ isβ’ isβ’ is
25. Correct Answers:β’ No
27. Correct Answers:β’ No
29. Correct Answers:β’ No
31. Correct Answers:β’ Yes
33. Correct Answers:β’ Yes
35. Correct Answers:β’ Yes
37. Correct Answers:β’ Yes
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ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 11
2 3-SOLVING ONESTEP EQUATIONS EXERCISES
1. Correct Answers:β’ {5}
3. Correct Answers:β’ {β9}
5. Correct Answers:β’ {β10}
7. Correct Answers:β’ {β1}
9. Correct Answers:β’ {β69}
11. Correct Answers:β’ {6}
13. Correct Answers:β’ {β7}
15. Correct Answers:β’ {2}
17. Correct Answers:β’ {β10}
19. Correct Answers:β’ {β6}
21. Correct Answers:β’ {8}
23. Correct Answers:β’ {0}
25. Correct Answers:β’{β 110
}27. Correct Answers:β’{β 6528
}29. Correct Answers:β’ {5}
31. Correct Answers:β’ {β3}
33. Correct Answers:β’ {0}
35. Correct Answers:β’ {63}
37. Correct Answers:β’ {32}
39. Correct Answers:β’{
52
}41. Correct Answers:β’{β 283
}43. Correct Answers:β’{β 72}
45. Correct Answers:β’ {β24}
47. Correct Answers:β’ {35}
49. Correct Answers:β’{β 115
}51. Correct Answers:β’ {20}
53. Correct Answers:β’ {14}
55. Correct Answers:β’ {4}β’ {12}
57. Correct Answers:β’ {β10}β’ {55}
59. Correct Answers:β’ {β12}β’ {12}
61. Correct Answers:β’ {β50}β’ {50}
63. Correct Answers:β’ {β15}β’ {15}
65. Correct Answers:β’ {5}β’{ 13
4}
67. Correct Answers:β’ {β2}β’{β 134
}69. Correct Answers:β’ 8 mmβ’ 4 mm
71. Correct Answers:β’ 13.05 cmβ’ 6.53 cm
73. Correct Answers:β’ 8 inβ’ 16 in
75. Correct Answers:β’ 3.99 mmβ’ 7.98 mm
77. Correct Answers:β’ 3 m
79. Correct Answers:β’ 24 mm
81. Correct Answers:β’ 24 ft
83. Correct Answers:β’ 11 m
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12 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
2 4-SOLVING ONESTEP INEQUALITIES EXERCISES
1. Correct Answers:β’ {x | x > 7} or {x | 7 < x}β’ (7,β)
3. Correct Answers:β’ {x | xβ€ 9} or {x | 9β₯ x}β’ (ββ,9]
5. Correct Answers:β’ {x | xβ₯β3} or {x | β3β€ x}β’ [β3,β)
7. Correct Answers:β’ {x | x < 14} or {x | 14 > x}β’ (ββ,14)
9. Correct Answers:β’ {x | xβ€ 4} or {x | 4β₯ x}β’ (ββ,4]
11. Correct Answers:β’{
x | x > 54}
β’(
54 ,β
)13. Correct Answers:β’ {x | xβ€β3} or {x | β3β₯ x}β’ (ββ,β3]
15. Correct Answers:β’ {x | xβ₯β4} or {x | β4β€ x}β’ [β4,β)
17. Correct Answers:β’ {x | x x}β’ (ββ,β2)
19. Correct Answers:β’ {x | xβ₯β4} or {x | β4β€ x}β’ [β4,β)
21. Correct Answers:β’ {x | x > 7} or {x | 7 < x}β’ (7,β)
23. Correct Answers:β’ {x | xβ₯β15} or {x | β15β€ x}β’ [β15,β)
25. Correct Answers:β’ {x | x >β7} or {x | β7 < x}β’ (β7,β)
27. Correct Answers:β’ {x | x < 7} or {x | 7 > x}β’ (ββ,7)
29. Correct Answers:β’ {x | x >β4} or {x | β4 < x}β’ (β4,β)
31. Correct Answers:β’ {x | x < 2} or {x | 2 > x}β’ (ββ,2)
33. Correct Answers:β’ {x | xβ€ 28}β’ (ββ,28]
35. Correct Answers:β’ {z | z > 36}β’ (36,β)
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ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 13
2 5-ONESTEP EQUATIONS WITH PERCENTAGES EXERCISES
1. Correct Answers:β’ 34.8
3. Correct Answers:β’ 616
5. Correct Answers:β’ 2813
7. Correct Answers:β’ 30%
9. Correct Answers:β’ 180%
11. Correct Answers:β’ 77.78%
13. Correct Answers:β’ 870
15. Correct Answers:β’ 170
17. Correct Answers:β’ 370
19. Correct Answers:β’ 1085
21. Correct Answers:β’ $49.88
23. Correct Answers:β’ 90%
25. Correct Answers:β’ 10%
27. Correct Answers:
β’ 15229. Correct Answers:β’ 5.74%
31. Correct Answers:β’ 28%
33. Correct Answers:β’ 12800
35. Correct Answers:β’ $21,700.00
37. Correct Answers:β’ $35.00
39. Correct Answers:β’ 75 g
41. Correct Answers:β’ 30%
43. Correct Answers:β’ 86.36%
45. Correct Answers:β’ 0.81%
47. Correct Answers:β’ $39,360β’ $40,934.40
49. Correct Answers:β’ 8.45%
51. Correct Answers:β’ $144,060
53. Correct Answers:β’ 300
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14 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
2 6-MODELING WITH EQUATIONS AND INEQUALITIES EXERCISES
1. Correct Answers:β’ s+0.025s = 46125
3. Correct Answers:β’ pβ0.05p = 218.5
5. Correct Answers:β’ p+0.005p = 1507.5
7. Correct Answers:β’ 0.77m+23.4 = 72.68
9. Correct Answers:β’ 33252500 =
t2100
11. Correct Answers:β’ 8.3454g+81 = 1900
13. Correct Answers:β’ 90+8m = 266
15. Correct Answers:β’ x+9
17. Correct Answers:β’ t +2
19. Correct Answers:β’ 5βA
21. Correct Answers:β’ mβ8
23. Correct Answers:β’ 1βq
25. Correct Answers:β’ rβ5
27. Correct Answers:β’ 8b+5
29. Correct Answers:
β’ 4Bβ131. Correct Answers:β’ 2n β4
33. Correct Answers:β’ 7x = 56
35. Correct Answers:β’ 48β t = 32
37. Correct Answers:β’ c11 =
1211
39. Correct Answers:β’ 21m =
75
41. Correct Answers:β’ 7q+9 = 58
43. Correct Answers:β’ 3rβ1 = 26
45. Correct Answers:β’ 5b+8 = 33
47. Correct Answers:β’ 7(B+7) = 231
49. Correct Answers:β’ 12 n
51. Correct Answers:β’ 1226 x
53. Correct Answers:β’ tβ 716 t
55. Correct Answers:β’ cβ 34 =
14 c
57. Correct Answers:β’ 19Cβ7 =
32C
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ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 15
2 7-INTRODUCTION TO EXPONENT RULES EXERCISES
1. Correct Answers:β’ 9β’ 64β’ 25β’ β64
3. Correct Answers:β’ 25β’ β4
5. Correct Answers:β’ β8β’ β1
7. Correct Answers:β’ 97
9. Correct Answers:β’ 313
11. Correct Answers:β’ x12
13. Correct Answers:β’ t24
15. Correct Answers:
β’ 1772
17. Correct Answers:β’ r24
19. Correct Answers:β’ 9r2
21. Correct Answers:β’ 64y3t3
23. Correct Answers:β’ 16x36
25. Correct Answers:β’ β21x24
27. Correct Answers:β’ y
15
5629. Correct Answers:β’ β100y33
31. Correct Answers:β’ 100y10β’ β100y10
33. Correct Answers:β’ 49y20
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16 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
2 8-SIMPLIFYING EXPRESSIONS EXERCISES
1. Correct Answers:β’ 3
3. Correct Answers:β’ 12
5. Correct Answers:β’ (n+12)+a
7. Correct Answers:β’ (12+19)+ x
9. Correct Answers:β’ (10 Β·9) t
11. Correct Answers:β’ 21+ c
13. Correct Answers:β’ 73+5c
15. Correct Answers:β’ 4(82+ p)
17. Correct Answers:β’ y Β·12
19. Correct Answers:β’ 42+a Β·10
21. Correct Answers:β’ (m+79) Β·6
23. Correct Answers:β’ 2n+14
25. Correct Answers:β’ β7x+7
27. Correct Answers:β’ βtβ3
29. Correct Answers:β’ 9c+22
31. Correct Answers:β’ β4t +42
33. Correct Answers:β’ 7p
35. Correct Answers:β’ β3y+6
37. Correct Answers:β’ 32 aβ15
39. Correct Answers:β’ 12 cβ
203
41. Correct Answers:β’ (n+m)+ yβ’ n+(m+ y)
43. Correct Answers:β’ distributive propertyβ’ commutative property of additionβ’ associative property of additionβ’ distributive propertyβ’ commutative property of addition
45. Correct Answers:β’ T = 0.91x+9.7
47. Correct Answers:β’ βx2β8x
49. Correct Answers:β’ 48x2β72x
51. Correct Answers:β’ 8x3β32x2
53. Correct Answers:β’ β49x4β42x3
55. Correct Answers:β’ 2a4β’ a8β’ a4 +aβ’ a5
57. Correct Answers:β’ 5r2β’ 9r4β’ 3r2β rβ’ β3r3
59. Correct Answers:β’ 4m3 +3m2β’ 8m7
61. Correct Answers:β’ 27x11
63. Correct Answers:β’ β64t27y15
65. Correct Answers:β’ β18c8
67. Correct Answers:β’ 80m13β5m9
69. Correct Answers:β’ 53p17
71. Correct Answers:β’ β29y12a12
73. Correct Answers:β’ β10a2 +5a
75. Correct Answers:β’ β8q4β8q3
77. Correct Answers:β’ 18m2 +30m+4
79. Correct Answers:β’ 4q3 +9q
81. Correct Answers:β’ 3t6β15t3
83. Correct Answers:β’ β46x+22
85. Correct Answers:β’ 32xβ70
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ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 17
3 1-SOLVING MULTISTEP LINEAR EQUATIONS AND INEQUALITIES EXERCISES
1. Correct Answers:β’ {3}
3. Correct Answers:β’ {10}
5. Correct Answers:β’ {β3}
7. Correct Answers:β’ {3}
9. Correct Answers:β’ {β6}
11. Correct Answers:β’ {β4}
13. Correct Answers:β’ {β5}
15. Correct Answers:β’ {β2}
17. Correct Answers:β’ 18
19. Correct Answers:β’ 430
21. Correct Answers:β’ 46
23. Correct Answers:β’ {10}
25. Correct Answers:β’ {4}
27. Correct Answers:β’ {β2}
29. Correct Answers:β’ { 12}
31. Correct Answers:β’ {4}β’ {10}
33. Correct Answers:β’ 18
35. Correct Answers:β’ 88
37. Correct Answers:β’ 13
39. Correct Answers:β’ {6}
41. Correct Answers:β’ {10}
43. Correct Answers:β’ {β6}
45. Correct Answers:β’ {β2}
47. Correct Answers:
β’ {β5}49. Correct Answers:β’ {5}
51. Correct Answers:β’ {β7}
53. Correct Answers:β’ {0}
55. Correct Answers:β’ {β7}
57. Correct Answers:β’ {β4}
59. Correct Answers:β’ {5}
61. Correct Answers:β’ {0}
63. Correct Answers:β’ 74 mβ’ 88 m
65. Correct Answers:β’ 186
67. Correct Answers:β’ $541β’ $130
69. Correct Answers:β’ {6}
71. Correct Answers:β’ {β4}
73. Correct Answers:β’ {β9}
75. Correct Answers:β’ {β9}
77. Correct Answers:β’ {β4}
79. Correct Answers:β’ {3}
81. Correct Answers:β’ {7}
83. Correct Answers:β’ {10}
85. Correct Answers:β’ {β7}β’ {β9}
87. Correct Answers:β’ {β7}
89. Correct Answers:β’ {3}
91. Correct Answers:β’ {β9}
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18 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
93. Correct Answers:β’ {1}
95. Correct Answers:β’ {10}
97. Correct Answers:β’ {β2}
99. Correct Answers:β’ {5}
101. Correct Answers:β’ {5}
103. Correct Answers:β’ {5}
105. Correct Answers:β’ {β6}
107. Correct Answers:β’ {0}
109. Correct Answers:β’ 11 cm
111. Correct Answers:β’ 25 inβ’ 32 in
113. Correct Answers:β’ 11 ftβ’ 39 ft
115. Correct Answers:β’ {0}β’ {12}β’ {β12}β’ {0}
117. Correct Answers:β’ {6}β’ 4
119. Correct Answers:β’ {6}β’ 9β’ 4tβ15
121. Correct Answers:β’ Trueβ’ Trueβ’ Falseβ’ Falseβ’ Falseβ’ Trueβ’ Trueβ’ False
123. Correct Answers:β’ {x | x > 2} or {x | 2 < x}β’ (2,β)
125. Correct Answers:β’ {x | xβ€ 9} or {x | 9β₯ x}β’ (ββ,9]
127. Correct Answers:β’ {x | xβ€β8} or {x | β8β₯ x}β’ (ββ,β8]
129. Correct Answers:β’ {x | x > 6} or {x | 6 < x}β’ (6,β)
131. Correct Answers:β’ {x | xβ₯ 0} or {x | 0β€ x}β’ [0,β)
133. Correct Answers:β’ {x | x > 10} or {x | 10 < x}β’ (10,β)
135. Correct Answers:β’ {x | xβ₯ 3} or {x | 3β€ x}β’ [3,β)
137. Correct Answers:β’ {t | t < 5} or {t | 5β₯ t}β’ (ββ,5)
139. Correct Answers:β’ {z | zβ₯ 6} or {z | 6β€ z}β’ [6,β)
141. Correct Answers:β’ {a | a > 9} or {a | 9 < a}β’ (9,β)
143. Correct Answers:β’ {p | pβ€ 0} or {p | 0β₯ p}β’ (ββ,0]
145. Correct Answers:β’ {p | p p}β’ (ββ,β7)
147. Correct Answers:β’ {x | xβ€β2} or {x | β2β₯ x}β’ (ββ,β2]
149. Correct Answers:β’ {z | zβ€ 7} or {z | 7β₯ z}β’ (ββ,7]
151. Correct Answers:β’ {y | y > 4} or {y | 4 < y}β’ (4,β)
153. Correct Answers:β’ {x | x < 8} or {x | 8 > x}β’ (ββ,8)
155. Correct Answers:β’ 40+2.7xβ€ 148β’ 40β’ [0,40]
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 19
3 2-LINEAR EQUATIONS AND INEQUALITIES WITH FRACTIONS EXERCISES
1. Correct Answers:β’ {12}
3. Correct Answers:β’ {24}
5. Correct Answers:β’ {30}β’ {30}β’ {30}β’ {β30}
7. Correct Answers:β’ {12}
9. Correct Answers:β’ {54}
11. Correct Answers:β’ {40}
13. Correct Answers:β’ {35}
15. Correct Answers:β’ {24}
17. Correct Answers:β’ { 3013}
19. Correct Answers:β’ {β 7760}
21. Correct Answers:β’ {β31}
23. Correct Answers:β’ {4}
25. Correct Answers:β’ { 1037}
27. Correct Answers:β’ {3}
29. Correct Answers:β’ { 3524}
31. Correct Answers:β’ {14}
33. Correct Answers:β’ {8}
35. Correct Answers:β’ {β 346}
37. Correct Answers:β’ {β 7277}
39. Correct Answers:β’ {β 2192}
41. Correct Answers:β’ {20}
43. Correct Answers:β’ {β12}
45. Correct Answers:
β’ {27}47. Correct Answers:β’ {β 6415}
49. Correct Answers:β’ {18}
51. Correct Answers:β’ { 678 }
53. Correct Answers:β’ {8}
55. Correct Answers:β’ {β4}
57. Correct Answers:β’ {β 52189}
59. Correct Answers:β’ {144}
61. Correct Answers:β’ {72}
63. Correct Answers:β’ {56}
65. Correct Answers:β’ { 67}
67. Correct Answers:β’ {β 1765 }
69. Correct Answers:β’ { 680567}
71. Correct Answers:β’ 12
73. Correct Answers:β’ 21
75. Correct Answers:β’ {x | xβ€ 20} or {x | 20β₯ x}β’ (ββ,20]
77. Correct Answers:β’{
y | y >β 1112}
β’(β 1112 ,β
)79. Correct Answers:β’ {t | t < 42}β’ (ββ,42)
81. Correct Answers:β’ {x | xβ€ 30}β’ (ββ,30]
83. Correct Answers:β’ {z | z > 35}β’ (35,β)
85. Correct Answers:β’ {x | xβ₯β20}β’ [β20,β)
87. Correct Answers:
-
20 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
β’ {y | yβ€β21}β’ (ββ,β21]
89. Correct Answers:β’ {x | x >β8}β’ (β8,β)
91. Correct Answers:
β’ 160+x3 β₯ 77β’ 71β’ [71,100]
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 21
3 3-ISOLATING A LINEAR VARIABLE EXERCISES
1. Correct Answers:β’ y = 6β’ x = nβq
3. Correct Answers:β’ r = 8β’ y = 3+m
5. Correct Answers:β’ t = 10β’ r = pβm
7. Correct Answers:β’ t = 2β’ x = bc
9. Correct Answers:β’ x = 14β’ y = tn
11. Correct Answers:β’ y = 8β’ r = aβCt
13. Correct Answers:β’ r = qtβ’ t = qr
15. Correct Answers:β’ t = mβ yβ’ y = mβ t
17. Correct Answers:β’ y = xβBrβ’ B = xβyr
19. Correct Answers:β’ a = yβxpβ’ p = yβxa
21. Correct Answers:β’ x = y+bm
23. Correct Answers:β’ b = 7β’ b = 2Ah
25. Correct Answers:β’ r = C2Ο
27. Correct Answers:β’ x = 8β’ x = tnβ5t
29. Correct Answers:β’ y = rbβ rt
31. Correct Answers:β’ r = 5Cβ5y
33. Correct Answers:β’ p =
(β xrβxa5
)35. Correct Answers:β’ x = CβByA
-
22 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
3 4-RATIOS AND PROPORTIONS EXERCISES
1. Correct Answers:β’ 8
3. Correct Answers:β’ 8
5. Correct Answers:β’ β16
7. Correct Answers:β’ 28
9. Correct Answers:β’ β5
11. Correct Answers:β’ β2
13. Correct Answers:β’ β27
15. Correct Answers:β’ β58
17. Correct Answers:β’ 13.2 ft
19. Correct Answers:
β’ 20 ft21. Correct Answers:β’ 70
23. Correct Answers:β’ $253
25. Correct Answers:β’ $345.17
27. Correct Answers:β’ 28.2 mi
29. Correct Answers:β’ $38.61
31. Correct Answers:β’ 2850
33. Correct Answers:β’ $4,866.40
35. Correct Answers:β’ 182
37. Correct Answers:β’ 1100.4 lb
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 23
3 5-SPECIAL SOLUTION SETS EXERCISES
1. Correct Answers:β’ no solution
3. Correct Answers:β’ all real numbers
5. Correct Answers:β’ all real numbers
7. Correct Answers:β’ no solution
9. Correct Answers:β’ {0}β’ all real numbersβ’ no solution
11. Correct Answers:β’ no solution
13. Correct Answers:β’ all real numbers
15. Correct Answers:
β’ no solution17. Correct Answers:β’ no solution
19. Correct Answers:β’ no solution
21. Correct Answers:β’ (ββ,β) or all real numbers
23. Correct Answers:β’ no solution
25. Correct Answers:β’ no solution
27. Correct Answers:β’ (ββ,β) or all real numbers
29. Correct Answers:β’ (ββ,β) or all real numbers
31. Correct Answers:β’ (ββ,β) or all real numbers
-
24 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
4 1-CARTESIAN COORDINATES EXERCISES
1. Correct Answers:
β’ (β4,β6)β’ (β2,4)β’ (0,2)β’ (β7,0)
3. Correct Answers:
β8 β6 β4 β2 2 4 6 8
β8
β6
β4
β2
2
4
6
8
x
y
5. Correct Answers:
β200β150β100β50 50 100 150 200
β200
β150
β100
β50
50
100
150
200
x
y
7. Correct Answers:
β8 β6 β4 β2 2 4 6 8
β8
β6
β4
β2
2
4
6
8
x
y
9. Correct Answers:
β8 β6 β4 β2 2 4 6 8
β8
β6
β4
β2
2
4
6
8
x
y
11. Correct Answers:
β8 β6 β4 β2 2 4 6 8
β8
β6
β4
β2
2
4
6
8
x
y
13. Correct Answers:β’ (2011,35)β’ 16β’ (2008,5) ,(2010,19) ,(2012,51)
15. Correct Answers:β’ Iβ’ IIβ’ IIIβ’ IV
17. Correct Answers:β’ the x-axisβ’ Quadrant IIβ’ Quadrant IIIβ’ Quadrant Iβ’ the y-axisβ’ Quadrant IV
19. Correct Answers:β’ IIIβ’ IVβ’ III
21. Correct Answers:β’ It is difficult to draw an appropriate scale.
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 25
4 2-GRAPHING EQUATIONS EXERCISES
1. Correct Answers:β’ AB
3. Correct Answers:β’ BCD
5. Correct Answers:β’ BC
7. Correct Answers:β’ CD
9. Correct Answers:β’ 10β’ (β2,10)β’ 9β’ (β1,9)β’ 8β’ (0,8)β’ 7β’ (1,7)β’ 6β’ (2,6)
11. Correct Answers:β’ β11β’ (β2,β11)β’ β5β’ (β1,β5)β’ 1β’ (0,1)β’ 7β’ (1,7)β’ 13β’ (2,13)
13. Correct Answers:β’ 14β’ (β2,14)β’ 9β’ (β1,9)β’ 4β’ (0,4)β’ β1β’ (1,β1)β’ β6β’ (2,β6)
15. Correct Answers:β’ β13β’ (β16,β13)β’ β10β’ (β8,β10)β’ β7β’ (0,β7)β’ β4β’ (8,β4)β’ β1β’ (16,β1)
17. Correct Answers:
β’ 24β’ (β20,24)β’ 17β’ (β10,17)β’ 10β’ (0,10)β’ 3β’ (10,3)β’ β4β’ (20,β4)
19. Correct Answers:β’ β1;β14; 0; 0; 1; 14; 2; 28; 3; 42
21. Correct Answers:β’ β1; 11; 0; 1; 1;β9; 2;β19; 3;β29
23. Correct Answers:β’ β8;β8; 0;β5; 8;β2; 16; 1; 24; 4
25. Correct Answers:β’ β12; 0; 0;β7; 12;β14; 24;β21; 36;β28
27. Correct Answers: Table omitted.
6 12 18 24 30
500
1,000
1,500
2,000
(1,931)
(6,1086)
(12,1272)
(24,1644)
x (months)
y (dollars)
29. Correct Answers: Table omitted.
50 100
50
100
(20,94.16)
(40,98.09)
(60,102.0)
(80,105.9)
(100,109.9)
T (β¦F)
P (lb/in2)
31. Correct Answers: Table omitted.
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
-
26 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
33. Correct Answers: Table omitted.
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
35. Correct Answers: Table omitted.
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
37. Correct Answers: Table omitted.
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
39. Correct Answers: Table omitted.
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
41. Correct Answers: Table omitted.
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 27
4 3-EXPLORING TWOVARIABLE DATA AND RATE OF CHANGE EXERCISES
1. Correct Answers:β’ y = 4x
3. Correct Answers:β’ y = x+5
5. Correct Answers:β’ y = xβ7
7. Correct Answers:β’ y =
βx
9. Correct Answers:β’ y = x2
11. Correct Answers:β’ y = 1x
13. Correct Answers:β’ 3480.19β’ 8598β’ 1997,2003
-
28 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
4 4-SLOPE EXERCISES
1. Correct Answers:β’ 2
3. Correct Answers:β’ β3
5. Correct Answers:β’ 72
7. Correct Answers:β’ β 95
9. Correct Answers:β’ 0
11. Correct Answers:β’ DNE or NONE
13. Correct Answers:β’ 3
15. Correct Answers:
β’ β117. Correct Answers:β’ 1
19. Correct Answers:β’ β3
21. Correct Answers:β’ β3
23. Correct Answers:β’ 67
25. Correct Answers:β’ β 92
27. Correct Answers:β’ 0
29. Correct Answers:β’ DNE or NONE
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 29
4 5-SLOPEINTERCEPT FORM EXERCISES
1. Correct Answers:
β’ 6β’ (0,3)
3. Correct Answers:
β’ β4β’ (0,β5)
5. Correct Answers:
β’ 1β’ (0,9)
7. Correct Answers:
β’ β1β’ (0,β8)
9. Correct Answers:
β’ β 45β’ (0,9)
11. Correct Answers:
β’ 16β’ (0,6)
13. Correct Answers:
β’ 9β’ (0,β9)
15. Correct Answers:
β’ β1β’ (0,1)
17. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
19. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
21. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
23. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
25. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
27. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
29. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
31. Correct Answers:
-
30 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
33. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
35. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
37. Correct Answers:β’ y = 2x+2
39. Correct Answers:β’ y =β3x+4
41. Correct Answers:β’ y = 74 x+4
43. Correct Answers:β’ y =β 98 xβ4
45. Correct Answers:β’ y = 2x+10
47. Correct Answers:β’ y =β4xβ6
49. Correct Answers:β’ y =βx+1
51. Correct Answers:β’ y = 85 x+9
53. Correct Answers:β’ y =β 13 x+10
55. Correct Answers:β’ 17
57. Correct Answers:β’ 420
59. Correct Answers:β’ 37
61. Correct Answers:β’ y = 0.065x+14β’ $23.10β’ 490
63. Correct Answers:β’ y = 0.12x+16.2β’ 19.32β’ 59
65. Correct Answers:β’ y = 0.04x+19β’ $24.20β’ 490
67. Correct Answers:β’ y = 0.21x+13.1β’ 18.56β’ 59
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 31
4 6-POINTSLOPE FORM EXERCISES
1. Correct Answers:β’ 2β’ (5,14)
3. Correct Answers:β’ 3β’ (β3,β7)
5. Correct Answers:β’ 53β’ (β9,β11)
7. Correct Answers:β’ y = 5(xβ2)+15β’ y = 5(xβ1)+10
9. Correct Answers:β’ y =β5(xββ4)+28β’ y =β5(xβ3)+β7
11. Correct Answers:β’ y = 23 (xββ3)+β12β’ y = 23 (xββ9)+β16
13. Correct Answers:β’ y = 3(xβ5)+17β’ y = 3x+2
15. Correct Answers:β’ y =β3(xβ2)+β4β’ y =β3x+2
17. Correct Answers:β’ y = 1(xβ5)+9β’ y = 1x+4
19. Correct Answers:β’ y =β1(xββ3)+β1β’ y =β1x+β4
21. Correct Answers:β’ y = 35 (xββ10)+β2β’ y = 35 x+4
23. Correct Answers:β’ y =β 58 (xβ24)+β20β’ y =β 58 x+β5
25. Correct Answers:β’ y = 5xβ4
27. Correct Answers:β’ y =β2x+2
29. Correct Answers:β’ y = 23 x+3
31. Correct Answers:β’ y =β 47 x+3
33. Correct Answers:β’ y = 0.045x+14β’ $22.10β’ 430
35. Correct Answers:β’ y = 0.28x+16.6β’ 24.72β’ 52
37. Correct Answers:β’ y = 0.03x+11β’ $16.10β’ 430
39. Correct Answers:β’ y = 0.16x+13.5β’ 18.14β’ 52
-
32 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
4 7-STANDARD FORM EXERCISES
1. Correct Answers:β’ 8β’ (0,9)
3. Correct Answers:β’ β2β’ (0,β3)
5. Correct Answers:β’ β 12β’ (0,β5)
7. Correct Answers:β’ 74β’ (0,β4)
9. Correct Answers:β’ 45β’ (0,0)
11. Correct Answers:β’ β 65β’(0, 310
)13. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
15. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
17. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
19. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
21. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
23. Correct Answers:β’ 2xβ y =β5
25. Correct Answers:β’ 4xβ3y = 3
27. Correct Answers:β’ 0β’ 5β’ (0,5)β’ 4β’ 0β’ (4,0)
29. Correct Answers:β’ 0β’ 24β’ (0,24)β’ β15β’ 0β’ (β15,0)
31. Correct Answers:x-intercept: (6,0)y-intercept: (0,4)
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
33. Correct Answers:x-intercept: (2,0)
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 33
y-intercept: (0,β5)
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
35. Correct Answers:x-intercept: (β15,0)y-intercept: (0,β3)
β18 β12 β6 6 12 18
β18
β12
β6
6
12
18
x
y
37. Correct Answers:β’ D
39. Correct Answers:β’ B
41. Correct Answers:β’ C
-
34 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
4 8-HORIZONTAL VERTICAL PARALLEL AND PERPENDICULAR LINES EXERCISES
1. Correct Answers:β’ 2β’ (β2,2)β’ 2β’ (β1,2)β’ 2β’ (0,2)β’ 2β’ (1,2)β’ 2β’ (2,2)
3. Correct Answers:β’ β6β’ (β6,β2)β’ β6β’ (β6,β1)β’ β6β’ (β6,0)β’ β6β’ (β6,1)β’ β6β’ (β6,2)
5. Correct Answers:β’ AB
7. Correct Answers:β’ AC
9. Correct Answers:β’ y =β9
11. Correct Answers:β’ x =β4
13. Correct Answers:β’ y = 4
15. Correct Answers:β’ x = 2
17. Correct Answers:β’ noneβ’ noneβ’ noneβ’ 10β’ 0β’ (10,0)
19. Correct Answers:β’ 0β’ β7β’ (0,β7)β’ noneβ’ noneβ’ none
21. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
23. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
25. Correct Answers:β’ y =β7
27. Correct Answers:β’ x = 0
29. Correct Answers:β’ y = 4x+3β’ y+5 = 4(x+2)
31. Correct Answers:β’ y =β 12 x+β4β’ y+7 =β 12 (xβ6)
33. Correct Answers:β’ A
35. Correct Answers:β’ B
37. Correct Answers:β’ C
39. Correct Answers:β’ A
41. Correct Answers:β’ y = xβ2β’ yβ1 = xβ3
43. Correct Answers:β’ y = 95 x+2β’ y+25 = 95 (x+15)
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 35
4 9-SUMMARY OF GRAPHING LINES EXERCISES
-
36 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
4 10-LINEAR INEQUALITIES IN TWO VARIABLES
1. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
3. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
5. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
7. Correct Answers:
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
9. Correct Answers:β’ 0.25q+0.10d < 30
β’ 20 40 60 80 100 120
50
100
150
200
250
300
q
d
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 37
5 1-SOLVING SYSTEMS OF LINEAR EQUATIONS BY GRAPHING EXERCISES
1. Correct Answers:β’ is not
3. Correct Answers:β’ is not
5. Correct Answers:β’ is
7. Correct Answers:β’ {(β2,β1)}
9. Correct Answers:β’ {(β1,β5)}
11. Correct Answers:β’ {(2,β2)}
13. Correct Answers:β’ {(1,β1)}
15. Correct Answers:
β’ {(2,β3)}17. Correct Answers:β’ no solution
19. Correct Answers:β’ no solution
21. Correct Answers:β’{(x,y) | y =β 35 x+7
}23. Correct Answers:β’ one solution
25. Correct Answers:β’ infinitely many solutions
27. Correct Answers:β’ infinitely many solutions
29. Correct Answers:β’ no solution
-
38 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
5 2-SUBSTITUTION EXERCISES
1. Correct Answers:β’ x = 0 and y = 0
3. Correct Answers:β’ x =β2 and y = 0
5. Correct Answers:β’ a = 0 and B = 0
7. Correct Answers:β’ B = 1 and c =β7
9. Correct Answers:β’ q =β7 and a = 8
11. Correct Answers:β’ x = 18 and y = 0
13. Correct Answers:β’ x = 5 and y = 3
15. Correct Answers:β’ no solutions
17. Correct Answers:β’ r =β3 and B =β5
19. Correct Answers:β’ x =β 43 and y =β
215
21. Correct Answers:β’ x =β 811 and y =
3111
23. Correct Answers:β’ B =β 713 and q =β
913
25. Correct Answers:β’ b =β 13 and q =
1009
27. Correct Answers:β’ C =β 4915 and n =β
13
29. Correct Answers:β’ x =β 9425 and y =
4225
31. Correct Answers:β’ x =β 514 and y =
2528
33. Correct Answers:β’ x =β 15 and y =
1110
35. Correct Answers:β’( 4
11 ,34)
37. Correct Answers:β’(
65 ,
118
)39. Correct Answers:β’ (7,0)
41. Correct Answers:β’ (β10,7)
43. Correct Answers:β’ (β5,β8)
45. Correct Answers:β’ (0,β2)
47. Correct Answers:β’ no solution
49. Correct Answers:β’ infinite number of solutions
51. Correct Answers:β’ 51β’ 15
53. Correct Answers:β’ 240
55. Correct Answers:β’ 15β’ 9
57. Correct Answers:β’ $8,000β’ $6,000
59. Correct Answers:β’ 160β’ 320
61. Correct Answers:β’ $2,000β’ $4,000
63. Correct Answers:β’ $5,000β’ $2,500
65. Correct Answers:β’ $8,000β’ $6,000
67. Correct Answers:β’ 300
69. Correct Answers:β’ 75
71. Correct Answers:β’ 85
73. Correct Answers:β’ 1200β’ 2400
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 39
5 3-ELIMINATION EXERCISES
1. Correct Answers:β’ (β10,β4)
3. Correct Answers:β’ (β5,2)
5. Correct Answers:β’ (β1,9)
7. Correct Answers:β’ (4,β6)
9. Correct Answers:β’ no solution
11. Correct Answers:β’ infinite number of solutions
13. Correct Answers:β’ a = 5 and y =β7
15. Correct Answers:β’ x =β 1714 and y =β
114
17. Correct Answers:β’ x =β9 and y = 0
19. Correct Answers:β’ x =β 813 and r =
613
21. Correct Answers:β’ a =β 125 and q =
145
23. Correct Answers:β’ C =β 98195 and n =
64195
25. Correct Answers:β’ x =β 1811 and y =β
811
27. Correct Answers:β’ infinitely many solutions
29. Correct Answers:β’( 2
7 ,12)
31. Correct Answers:β’( 4
11 ,34)
33. Correct Answers:β’ 20β’ 9
35. Correct Answers:β’ $8,000β’ $5,000
37. Correct Answers:β’ 400β’ 400
39. Correct Answers:β’ 53β’ 137
41. Correct Answers:β’ 14
43. Correct Answers:β’ 1442β’ 1958
-
40 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
6 1-EXPONENT RULES AND SCIENTIFIC NOTATION EXERCISES
1. Correct Answers:β’ x13
3. Correct Answers:β’ t44
5. Correct Answers:β’ 25r12
7. Correct Answers:β’ 35r24
9. Correct Answers:β’ β y
34
4011. Correct Answers:β’ β128y6
13. Correct Answers:β’ 1
15. Correct Answers:β’ β1
17. Correct Answers:β’ 2
19. Correct Answers:β’ 50
21. Correct Answers:β’ 1
23. Correct Answers:β’ x1825
25. Correct Answers:β’ 494x6
27. Correct Answers:β’ 81x184
29. Correct Answers:β’ 5t16
31. Correct Answers:β’ x92
33. Correct Answers:β’ r7
35. Correct Answers:β’ 1811
37. Correct Answers:β’ x44y6z16
39. Correct Answers:β’ 9x6100y8
41. Correct Answers:β’ 143 Β·162
43. Correct Answers:β’ 6xy5z5
45. Correct Answers:β’ 3xy2
47. Correct Answers:
β’ 849. Correct Answers:β’ 4964
51. Correct Answers:β’ β 16
53. Correct Answers:β’ y
7
t17
55. Correct Answers:β’ 1r17t15
57. Correct Answers:β’ x114
59. Correct Answers:β’ 1y12
61. Correct Answers:β’ 8r27
63. Correct Answers:β’ 913t47
65. Correct Answers:β’ 1x46
67. Correct Answers:β’ 1y46
69. Correct Answers:β’ 1r8
71. Correct Answers:β’ β36t3
73. Correct Answers:β’ 4964
75. Correct Answers:β’ β 127
77. Correct Answers:β’ 25
79. Correct Answers:β’ 45
81. Correct Answers:β’ 1729
83. Correct Answers:β’ 710
85. Correct Answers:β’ 16
87. Correct Answers:β’ β 1216
89. Correct Answers:β’ 27r2
91. Correct Answers:β’ 27t27
93. Correct Answers:β’ 1x10
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 41
95. Correct Answers:β’ 1625y44
97. Correct Answers:β’ r1025
99. Correct Answers:β’ t2216
101. Correct Answers:β’ 32x19
103. Correct Answers:β’ y6
105. Correct Answers:β’ 8r3
107. Correct Answers:β’ 1r12
109. Correct Answers:β’ 1t40
111. Correct Answers:β’ 1x6y10
113. Correct Answers:β’ y
16
t28
115. Correct Answers:β’ 16r56
117. Correct Answers:β’ x18t18
119. Correct Answers:β’ r47x41
121. Correct Answers:β’ 4y
8
25x17z6
123. Correct Answers:β’ 1x33y42z42
125. Correct Answers:β’ 7.6Γ103
127. Correct Answers:β’ 9.5Γ104
129. Correct Answers:β’ 2.6Γ10β4
131. Correct Answers:β’ 4.6Γ10β4
133. Correct Answers:β’ 66000
135. Correct Answers:β’ 857000
137. Correct Answers:β’ 1.56
139. Correct Answers:β’ 0.0036
141. Correct Answers:β’ 0.0555
143. Correct Answers:β’ 2.8Γ106
145. Correct Answers:β’ 5Γ10β3
147. Correct Answers:β’ 8Γ100
149. Correct Answers:β’ 2Γ107
151. Correct Answers:β’ 5Γ108
153. Correct Answers:β’ 7Γ10β8
155. Correct Answers:β’ 9Γ10β7
157. Correct Answers:β’ 9Γ108
-
42 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
6 2-ADDING AND SUBTRACTING POLYNOMIALS EXERCISES
1. Correct Answers:β’ binomialβ’ 2
3. Correct Answers:β’ monomialβ’ 0
5. Correct Answers:β’ trinomialβ’ 10
7. Correct Answers:β’ 7β’ trinomial
9. Correct Answers:β’ monomialβ’ 13
11. Correct Answers:β’ 11
13. Correct Answers:β’ β12x+2
15. Correct Answers:β’ β11x2β3x
17. Correct Answers:β’ 9x2 +16xβ1
19. Correct Answers:β’ β6t3 + t2β15
21. Correct Answers:β’ 5x6 +3x4β9x2
23. Correct Answers:β’ β0.1y5β0.1y4β0.4y3 +0.9y2 +0.1
25. Correct Answers:β’ β8x3β7x2 +4x+ 418
27. Correct Answers:β’ β4x+1
29. Correct Answers:β’ βx2 +11x
31. Correct Answers:
β’ 5x5β10x4β10x3 +633. Correct Answers:β’ β5x3β4x2β5x+18
35. Correct Answers:β’ 17x2 +15x+1
37. Correct Answers:β’ β8t6β5t4 +8t2
39. Correct Answers:β’ 12x18β11x16 +14x15
41. Correct Answers:β’ 26y19 + y17 +13y15
43. Correct Answers:β’ 17y9 + y8
45. Correct Answers:β’ x3y6 +11xy
47. Correct Answers:β’ 19x8y4β xy+2
49. Correct Answers:β’ 12x8y7 +11x2y5β xy
51. Correct Answers:β’ β14x4 +5xyβ15y5
53. Correct Answers:β’ β15x7y8 +16x4y4 +6xy
55. Correct Answers:β’ x8β19y6β3x6y6β2x8y6
57. Correct Answers:β’ 10x7y8β3xy
59. Correct Answers:β’ 3x2 +9.3x
61. Correct Answers:β’ 75x2 +8.5
63. Correct Answers:β’ 4x3 +9x2 +45x+90
65. Correct Answers:β’ 6x4β3x3 +9x2β10
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 43
6 3-MULTIPLYING POLYNOMIALS EXERCISES
1. Correct Answers:β’ 6x2β36x
3. Correct Answers:β’ 6x2 +12x
5. Correct Answers:β’ β5x3β20x2
7. Correct Answers:β’ β30y4β45y3
9. Correct Answers:β’ β80r4β72r3β48r2
11. Correct Answers:β’ 60x26y8β50x13y22
13. Correct Answers:β’ β12a23b18β15a35b9
15. Correct Answers:β’ β15a15 +20a13b3 +50a9b5
17. Correct Answers:β’ 5w2β6w
19. Correct Answers:β’ b2 +4b
21. Correct Answers:β’ h2 +6h
23. Correct Answers:β’ x2 +14x+45
25. Correct Answers:β’ 3y2 +19y+20
27. Correct Answers:β’ r2β4rβ45
29. Correct Answers:β’ t2β4t +3
31. Correct Answers:β’ 10x2 +49x+18
33. Correct Answers:β’ 6y2β38y+40
35. Correct Answers:β’ 8r2β38r+24
37. Correct Answers:β’ 2t2β3tβ14
39. Correct Answers:β’ 12x3β36x2β3x+9
41. Correct Answers:β’ 7x5 +7x3 +10x2 +10
43. Correct Answers:β’ 18y4β12y2 +2
45. Correct Answers:β’ 2r2 +24r+54
47. Correct Answers:β’ t3β t
49. Correct Answers:β’ 12x2 +52x+48
51. Correct Answers:β’ a2β8ab+15b2
53. Correct Answers:β’ 7a2 +43ab+40b2
55. Correct Answers:β’ 72a2 +9abβ81b2
57. Correct Answers:β’ 4a2b2 +30ab+56
59. Correct Answers:β’ x2β10x+24
61. Correct Answers:β’ β21x2 +292x+1820
63. Correct Answers:β’ 4x3 +18x2β4
65. Correct Answers:β’ 15x4β2x3β28x2 +41xβ20
67. Correct Answers:β’ x4 +6x3 +16x2 +22x+15
69. Correct Answers:β’ a3β3a2bβ21ab2 +28b3
71. Correct Answers:β’ a2 +2ab+b2β36
-
44 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
6 4-SPECIAL CASES OF MULTIPLYING POLYNOMIALS EXERCISES
1. Correct Answers:β’ Falseβ’ Falseβ’ True
3. Correct Answers:β’ y2 +16y+64
5. Correct Answers:β’ 4r2 +12r+9
7. Correct Answers:β’ t2β14t +49
9. Correct Answers:β’ 49t2β28t +4
11. Correct Answers:β’ 100x4β60x2 +9
13. Correct Answers:β’ y14β12y7 +36
15. Correct Answers:β’ 49a2β98ab+49b2
17. Correct Answers:β’ 81a2b2β162ab+81
19. Correct Answers:β’ x4β4x2y2 +4y4
21. Correct Answers:β’ y2β121
23. Correct Answers:β’ 25r2β25
25. Correct Answers:β’ 4β49t2
27. Correct Answers:β’ t12β9
29. Correct Answers:
β’ 25x14β4931. Correct Answers:β’ 1β16y6
33. Correct Answers:β’ 49x2β16y2
35. Correct Answers:β’ a2b2β81
37. Correct Answers:β’ x4β4y4
39. Correct Answers:β’ 16x14β16y4
41. Correct Answers:β’ 36x6y4β36y16
43. Correct Answers:β’ Choice 2
45. Correct Answers:β’ Choice 2
47. Correct Answers:β’ Choice 4
49. Correct Answers:β’ Choice 3
51. Correct Answers:β’ h3β6h2β27h
53. Correct Answers:β’ t3 +9t2 +27t +27
55. Correct Answers:β’ x3β15x2 +75xβ125
57. Correct Answers:β’ 216y3 +540y2 +450y+125
59. Correct Answers:β’ 27r3β135r2 +225rβ125
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 45
6 5-DIVIDING BY A MONOMIAL EXERCISES
1. Correct Answers:β’ β7t20β2t15
3. Correct Answers:β’ x16 +9x9 +10x8
5. Correct Answers:β’ 9y15β5y11
7. Correct Answers:β’ β9r13β4r11 +12r8 +5r5
9. Correct Answers:
β’ 7xyβ1β5y11. Correct Answers:β’ 13x16y16 +7x11y10β9x10y14
13. Correct Answers:β’ β12x20β x4 +10x3
15. Correct Answers:β’ 5x2 +9xβ6
17. Correct Answers:β’ 8x4 +7xβ6
-
46 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
7 1-FACTORING OUT THE COMMON FACTOR EXERCISES
1. Correct Answers:β’ 4 or β4
3. Correct Answers:β’ 7y or β7y
5. Correct Answers:β’ 10r3 or β10r3
7. Correct Answers:β’ 3r12 or β3r12
9. Correct Answers:β’ 6t4 or β6t4
11. Correct Answers:β’ 3x9y6 or β3x9y6
13. Correct Answers:β’ 3(y+1)
15. Correct Answers:β’ 5(rβ1)
17. Correct Answers:β’ β8(t +1)
19. Correct Answers:β’ 2(x+9)
21. Correct Answers:β’ 4(3y2β8
)23. Correct Answers:β’ 7(5r2 + r+1
)25. Correct Answers:β’ 5r2
(3r2β3r+5
)27. Correct Answers:β’ 3t3
(4t2β7t +4
)29. Correct Answers:β’ 10x
(5+2x+6x2
)31. Correct Answers:β’ prime
33. Correct Answers:β’ 7y(x+1)
35. Correct Answers:β’ 9y3
(x7 +6
)37. Correct Answers:β’ 2x3y5
(9x2β5x+8
)39. Correct Answers:β’ 4x3y2z4
(3x2z2β8xz+10
)
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 47
7 2-FACTORING BY GROUPING EXERCISES
1. Correct Answers:β’ (tβ5)(t +10)
3. Correct Answers:β’ (xβ2)(y+2)
5. Correct Answers:β’ (4x+9)(x+ y)
7. Correct Answers:β’(4r6 +1
)(8r+9)
9. Correct Answers:β’ 9r2(r+12)
(6r2 +2r+5
)11. Correct Answers:β’ (t +3)(tβ9)
13. Correct Answers:β’ (x+7)(xβ3)
15. Correct Answers:β’(y2 +2
)(yβ6)
17. Correct Answers:β’(r2 +6
)(r+8)
19. Correct Answers:β’ (x+8)(yβ9)
21. Correct Answers:β’ (xβ7)(yβ2)
23. Correct Answers:β’ (4x+9y)(xβ4y)
25. Correct Answers:β’ (6x+7y)(xβ10y)
27. Correct Answers:β’(x3 +2
)(1+7y)
29. Correct Answers:β’(x3 +10
)(1+6y)
31. Correct Answers:β’ 6x2(x+3)
(5x2 +3x+2
)
-
48 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
7 3-FACTORING TRINOMIALS WITH LEADING COEFFICIENT ONE EXERCISES
1. Correct Answers:β’ (r+6)(r+5)
3. Correct Answers:β’ (t +9)(t +3)
5. Correct Answers:β’ (xβ2)(x+5)
7. Correct Answers:β’ (y+5)(yβ9)
9. Correct Answers:β’ (yβ8)(yβ4)
11. Correct Answers:β’ (rβ1)(rβ7)
13. Correct Answers:β’ (t +4)(t +5)
15. Correct Answers:β’ (x+7)(x+3)
17. Correct Answers:β’ (yβ10)(y+2)
19. Correct Answers:β’ (r+3)(rβ6)
21. Correct Answers:β’ (tβ6)(tβ8)
23. Correct Answers:β’ (xβ9)(xβ7)
25. Correct Answers:β’ prime
27. Correct Answers:β’ prime
29. Correct Answers:β’ (r+10)(r+10)
31. Correct Answers:β’ (t +2)(t +2)
33. Correct Answers:β’ (xβ5)(xβ5)
35. Correct Answers:β’ (yβ9)(yβ9)
37. Correct Answers:β’ 5(rβ1)(r+1)
39. Correct Answers:β’ 2(tβ4)(t +3)
41. Correct Answers:β’ 2(xβ6)(xβ2)
43. Correct Answers:β’ 3(yβ1)(yβ5)
45. Correct Answers:β’ 3y7(y+3)(y+2)
47. Correct Answers:β’ 2r5(r+2)(r+1)
49. Correct Answers:β’ 2t5(tβ7)(t +3)
51. Correct Answers:β’ 3x2(x+7)(xβ1)
53. Correct Answers:β’ 2y2(yβ3)(yβ5)
55. Correct Answers:β’ 7r7(rβ3)(rβ1)
57. Correct Answers:β’ β(t +1)(tβ1)
59. Correct Answers:β’ β(x+4)(xβ5)
61. Correct Answers:β’ (x+8r)(x+3r)
63. Correct Answers:β’ (yβ3t)(y+7t)
65. Correct Answers:β’ (rβ9y)(rβ2y)
67. Correct Answers:β’ (t +12r)(t +12r)
69. Correct Answers:β’ (xβ10t)(xβ10t)
71. Correct Answers:β’ 2(y+1)(y+3)
73. Correct Answers:β’ 3y(x+2)(x+3)
75. Correct Answers:β’ 2b(aβ2)(a+3)
77. Correct Answers:β’ 6y(xβ2)(xβ1)
79. Correct Answers:β’ 5xy(x+1)(x+4)
81. Correct Answers:β’ x2(yβ4z)(y+5z)
83. Correct Answers:β’ (a+b)(r+1)(r+7)
85. Correct Answers:β’ (t +0.4)(t +0.5)
87. Correct Answers:β’ (xr+3)(xr+8)
89. Correct Answers:β’ (ytβ2)(yt +4)
91. Correct Answers:β’ (rxβ1)(rxβ4)
93. Correct Answers:β’ 2(tr+3)(tr+1)
95. Correct Answers:β’ 2(xt +1)(xtβ7)
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 49
97. Correct Answers: β’ 3y(xyβ1)(xyβ6)
-
50 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
7 4-FACTORING TRINOMIALS WITH A NONTRIVIAL LEADING COEFFICIENT EXERCISES
1. Correct Answers:β’ (3y+4)(y+2)
3. Correct Answers:β’ (5r+2)(rβ2)
5. Correct Answers:β’ (2tβ1)(tβ8)
7. Correct Answers:β’ prime
9. Correct Answers:β’ (6y+7)(y+2)
11. Correct Answers:β’ (4r+5)(rβ1)
13. Correct Answers:β’ (4tβ3)(tβ5)
15. Correct Answers:β’ (2x+1)(4x+7)
17. Correct Answers:β’ (5x+4)(4xβ3)
19. Correct Answers:β’ (5yβ1)(4yβ3)
21. Correct Answers:β’ 5(5r+2)(r+1)
23. Correct Answers:β’ 10(2tβ1)(t +2)
25. Correct Answers:β’ 2(2xβ7)(xβ1)
27. Correct Answers:β’ 3y6(5y+3)(y+1)
29. Correct Answers:β’ 2r3(2rβ5)(r+1)
31. Correct Answers:β’ 3t6(3tβ2)(tβ1)
33. Correct Answers:β’ (3ty+2)(ty+2)
35. Correct Answers:β’ (2xrβ5)(xr+2)
37. Correct Answers:β’ (2ytβ3)(ytβ7)
39. Correct Answers:β’ (2r+ x)(r+8x)
41. Correct Answers:β’ (5t +4r)(tβ4r)
43. Correct Answers:β’ (5xβ3t)(xβ4t)
45. Correct Answers:β’ (4y+5x)(y+ x)
47. Correct Answers:β’ (4r+3y)(rβ5y)
49. Correct Answers:β’ (4tβ3y)(tβ4y)
51. Correct Answers:β’ (2t +3x)(4t + x)
53. Correct Answers:β’ (5x+ y)(5xβ6y)
55. Correct Answers:β’ (3yβ r)(4yβ5r)
57. Correct Answers:β’ 5(2rt +1)(rt +2)
59. Correct Answers:β’ 5(3tyβ1)(ty+2)
61. Correct Answers:β’ 2x6(2xrβ1)(xrβ4)
63. Correct Answers:β’ 2(2x+ y)(x+7y)
65. Correct Answers:β’ 3(3a+4b)(aβb)
67. Correct Answers:β’ 2(2xβ y)(xβ4y)
69. Correct Answers:β’ 2y(2x+ y)(x+5y)
71. Correct Answers:β’ 2(yβ3)(2x+1)(x+5)
73. Correct Answers:β’ 3(y+2)(2x+1)(x+1)
75. Correct Answers:β’ (3x+8)(x+2)β’ (3y+32)(y+10)
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 51
7 5-FACTORING SPECIAL POLYNOMIALS EXERCISES
1. Correct Answers:β’ (y+4)(yβ4)
3. Correct Answers:β’ (8r+11)(8rβ11)
5. Correct Answers:β’ (tr+11)(trβ11)
7. Correct Answers:β’ (4xr+1)(4xrβ1)
9. Correct Answers:β’ (5+ y)(5β y)
11. Correct Answers:β’ (3+10r)(3β10r)
13. Correct Answers:β’(t2 +3
)(t2β3
)15. Correct Answers:β’(6t2 +11
)(6t2β11
)17. Correct Answers:β’(x6 +10
)(x6β10
)19. Correct Answers:β’(6x2 + y2
)(6x2β y2
)21. Correct Answers:β’(x5 +8y6
)(x5β8y6
)23. Correct Answers:β’ (t +8)(t +8)
25. Correct Answers:β’ (xβ12)(xβ12)
27. Correct Answers:β’ (4y+1)(4y+1)
29. Correct Answers:β’ (8rβ1)(8rβ1)
31. Correct Answers:β’ (8rtβ1)(8rtβ1)
33. Correct Answers:β’ (t +5x)(t +5x)
35. Correct Answers:β’ (xβ3y)(xβ3y)
37. Correct Answers:β’ (2y+9t)(2y+9t)
39. Correct Answers:β’ (8rβ3x)(8rβ3x)
41. Correct Answers:β’ (t +6)
(t2β6t +36
)43. Correct Answers:β’ (xβ9)
(x2 +9x+81
)45. Correct Answers:β’ (10y+1)
(100y2β10y+1
)47. Correct Answers:β’ (4rβ1)
(16r2 +4r+1
)
49. Correct Answers:β’ (7r+2)
(49r2β14r+4
)51. Correct Answers:β’ (10tβ7)
(100t2 +70t +49
)53. Correct Answers:β’ (xy+3)
(x2y2β3xy+9
)55. Correct Answers:β’ (xβ6y)
(x2 +6xy+36y2
)57. Correct Answers:β’ (3rβ2)(3r+2)
(9r2 +4
)59. Correct Answers:β’ 4(t +2)(tβ2)
61. Correct Answers:β’ 2x(x+6)(xβ6)
63. Correct Answers:β’ 8y2r2(yr+1)(yrβ1)
65. Correct Answers:β’ 10(1+ r)(1β r)
67. Correct Answers:β’ 7(3r+1)(3r+1)
69. Correct Answers:β’ 2(6tr+1)(6tr+1)
71. Correct Answers:β’ 10(2xβ1)(2xβ1)
73. Correct Answers:β’ y2(4y+1)(4y+1)
75. Correct Answers:β’ r8(8rβ1)(8rβ1)
77. Correct Answers:β’ 7t5(3t +1)(3t +1)
79. Correct Answers:β’ 7x4(3xβ1)(3xβ1)
81. Correct Answers:β’ y(6y+5)
(36y2β30y+25
)83. Correct Answers:β’ (6x+7y)
(36x2β42xy+49y2
)85. Correct Answers:β’ 6(rβ1)(r+1)
(r2 +1
)87. Correct Answers:β’ t8(t +6)
(t2β6t +36
)89. Correct Answers:β’ prime
91. Correct Answers:β’ 12y
(y2 +1
)93. Correct Answers:β’ r(0.3+ r)(0.3β r)
95. Correct Answers:β’ (tβ2)(t +6)
-
52 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
97. Correct Answers: β’ (xβ9β11y)(xβ9+11y)
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 53
7 6-FACTORING STRATEGIES EXERCISES
1. Correct Answers:β’ AF
3. Correct Answers:β’ AC
5. Correct Answers:β’ AB
7. Correct Answers:β’ I
9. Correct Answers:β’ G
11. Correct Answers:β’ F
13. Correct Answers:β’ AE
15. Correct Answers:β’ 5(t +1)
17. Correct Answers:β’ 7(5x2β7
)19. Correct Answers:β’ 8y
(4β2y+7y2
)21. Correct Answers:β’ 10x3y8
(4x2β5x+6
)23. Correct Answers:β’ (x+2)(y+8)
25. Correct Answers:β’ (t +9)(tβ2)
27. Correct Answers:β’ (3xtβ4)(xt +3)
29. Correct Answers:β’ (6y+1)(yβ5)
31. Correct Answers:β’ (5rβ3)(5rβ1)
33. Correct Answers:β’ (2tβ x)(tβ6x)
35. Correct Answers:β’ (2x+ y)(3x+8y)
37. Correct Answers:β’ 2(5yβ4)(y+3)
39. Correct Answers:β’ 2y2(2y+3)(y+2)
41. Correct Answers:β’ 8(2x+ y)(x+ y)
43. Correct Answers:β’ 6(y+3)(3x+2)(x+1)
45. Correct Answers:β’ (xβ10)(xβ3)
47. Correct Answers:β’ (yxβ1)(yx+3)
49. Correct Answers:β’ 2(rt +2)(rt +6)
51. Correct Answers:β’ 2t7(t +3)(t +2)
53. Correct Answers:β’ 7y(x+1)(x+2)
55. Correct Answers:β’ 3y(xyβ1)(xyβ6)
57. Correct Answers:β’ (y+0.7)(y+0.4)
59. Correct Answers:β’ (rx+2)(rxβ2)
61. Correct Answers:β’(t2 +5
)(t2β5
)63. Correct Answers:β’(x6 +3y7
)(x6β3y7
)65. Correct Answers:β’ 2y(y+1)(yβ1)
67. Correct Answers:β’ 6(4+ r)(4β r)
69. Correct Answers:β’ (tβ4r)(tβ4r)
71. Correct Answers:β’ (11xβ1)(11xβ1)
73. Correct Answers:β’ (11x+4t)(11x+4t)
75. Correct Answers:β’ y7(7y+1)(7y+1)
77. Correct Answers:β’ (r+10)
(r2β10r+100
)79. Correct Answers:β’ (2t +5)
(4t2β10t +25
)81. Correct Answers:β’ x(5x+4)
(25x2β20x+16
)83. Correct Answers:β’ 2(yβ3)(y+3)
(y2 +9
)
-
54 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
8 1-SOLVING QUADRATIC EQUATIONS BY FACTORING EXERCISES
1. Correct Answers:β’ x =β5 or x =β4
3. Correct Answers:β’ x =β9 or x = 720
5. Correct Answers:β’ x =β2 or x =β3
7. Correct Answers:β’ x = 3 or x =β6
9. Correct Answers:β’ x = 5 or x = 2
11. Correct Answers:β’ x =β8 or x =β2
13. Correct Answers:β’ x = 10 or x =β5
15. Correct Answers:β’ x = 8 or x = 3
17. Correct Answers:β’ x = 0 or x = 1
19. Correct Answers:β’ x = 0 or x = 2
21. Correct Answers:β’ x = 0 or x = 110
23. Correct Answers:β’ x = 2
25. Correct Answers:β’ x = 5
27. Correct Answers:β’ x =β 14
29. Correct Answers:β’ x =β 125 or x =β2
31. Correct Answers:β’ x = 10 or x =β10
33. Correct Answers:β’ x =β 74 or x =
74
35. Correct Answers:β’ x =β 116 or x =
116
37. Correct Answers:β’ x =β4 or x = 2
39. Correct Answers:β’ x = 15 or x =β10
41. Correct Answers:β’ x = 3 or x =β1
43. Correct Answers:β’ x =β3 or x = 4
45. Correct Answers:β’ x =β1
47. Correct Answers:β’ x =β 98
49. Correct Answers:β’ x =β10 or x =β4 or x =β9
51. Correct Answers:β’ x =β3 or x = 3 or x = 0
53. Correct Answers:β’ x = 0 or x = 1 or x =β2
55. Correct Answers:β’ 6,9
57. Correct Answers:β’ 9 cmβ’ 14 cm
59. Correct Answers:β’ 2 inβ’ 1 in
61. Correct Answers:β’ 2 ft
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 55
8 2-SQUARE ROOT PROPERTIES EXERCISES
1. Correct Answers:β’ BEF
3. Correct Answers:β’ 4β’ 9β’ 2
5. Correct Answers:β’ 712β’ DNE
7. Correct Answers:β’ 10β’ 1β’ 100
9. Correct Answers:β’ 12β’ 120β’ 1200
11. Correct Answers:β’ 3β’ 0.3β’ 0.03
13. Correct Answers:β’ 6.93
15. Correct Answers:β’ 89
17. Correct Answers:β’ β11
19. Correct Answers:β’ not a real number
21. Correct Answers:β’ not a real number or 0.8i
23. Correct Answers:β’ β 67
25. Correct Answers:β’ 5
27. Correct Answers:β’ 16
29. Correct Answers:β’ 5β
331. Correct Answers:β’ 15
β5
33. Correct Answers:β’β
23135. Correct Answers:β’ 1β’ 5
37. Correct Answers:β’ 16
β14
39. Correct Answers:
β’ 24β
341. Correct Answers:β’ 180
β2
43. Correct Answers:β’ 72
45. Correct Answers:β’β
310
47. Correct Answers:β’ 2
β3
1349. Correct Answers:β’ ββ
1151. Correct Answers:β’ 8β
2353. Correct Answers:β’ 9β
755. Correct Answers:β’ 7β
2+9β
357. Correct Answers:β’ 2β
359. Correct Answers:β’ 3β
5β8β
261. Correct Answers:β’ 76
63. Correct Answers:β’β
1010
65. Correct Answers:β’ 10
β3
367. Correct Answers:β’ 9
β5
2569. Correct Answers:β’ 5
β21
771. Correct Answers:β’β
1073. Correct Answers:β’β
36
75. Correct Answers:β’ 3
β5
1077. Correct Answers:β’β
116
79. Correct Answers:β’ 9
β2
281. Correct Answers:β’β
16511
83. Correct Answers:β’ 2
β77
1185. Correct Answers:β’β
6+β
10
-
56 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
87. Correct Answers:β’ 10
β11+35
89. Correct Answers:β’ 80β50
β7
91. Correct Answers:β’ 3+2
β2
93. Correct Answers:β’ 12β6
β3
95. Correct Answers:
β’ 20β10β
397. Correct Answers:β’ 163β60
β7
99. Correct Answers:β’ 12
101. Correct Answers:β’ β6
103. Correct Answers:β’ β182
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 57
8 3-SOLVING QUADRATIC EQUATIONS BY USING A SQUARE ROOT EXERCISES
1. Correct Answers:β’ x = 11 or x =β11
3. Correct Answers:β’ x =β 12 or x =
12
5. Correct Answers:β’ x = 2
β3 or x =β2
β3
7. Correct Answers:β’ x =
β29 or x =β
β29
9. Correct Answers:β’ x = 4 or x =β4
11. Correct Answers:β’ x =β 38 or x =
38
13. Correct Answers:β’ x =β 67 or x =
67
15. Correct Answers:β’ x =
β77941 or x =β
β77941
17. Correct Answers:β’ r =β
β147 or r =
β147
19. Correct Answers:β’ no real solutions
21. Correct Answers:β’ x = 17 or x = 1
23. Correct Answers:β’ x =β 158 or x =
78
25. Correct Answers:β’ y = 9 or y = 5
27. Correct Answers:β’ x = 4+
β43 or x = 4β
β43
29. Correct Answers:β’ t =β1+7
β2 or t =β1β7
β2
31. Correct Answers:β’ x =β10+2
β7 or x =β10β2
β7
33. Correct Answers:β’ 26
35. Correct Answers:β’ 24
37. Correct Answers:β’ 17.7482
39. Correct Answers:β’ 4β
541. Correct Answers:β’ 2β
1743. Correct Answers:β’ 40.5β’ 21.6
45. Correct Answers:β’ 8.5β’ 4
-
58 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
8 4-THE QUADRATIC FORMULA EXERCISES
1. Correct Answers:β’ x = 7β3
β5
2 or x =7+3β
52
3. Correct Answers:β’ x = 32 or x =β
23
5. Correct Answers:β’ x = 7β
β17
2 or x =7+β
172
7. Correct Answers:β’ x = β1β3
β5
2 or x =β1+3
β5
29. Correct Answers:β’ x = 3β
β17
4 or x =3+β
174
11. Correct Answers:β’ x = β2β3
β2
7 or x =β2+3
β2
713. Correct Answers:β’ no real solutions
15. Correct Answers:β’ x = 3 or x =β3
17. Correct Answers:β’ {9}
19. Correct Answers:β’ x =β 47 or x =
47
21. Correct Answers:β’ y =β
β6
2 or y =β
62
23. Correct Answers:β’ x = 0 or x = 4
25. Correct Answers:β’ {0}
27. Correct Answers:β’ x =β9 or x = 2
29. Correct Answers:β’ x = 13 or x = 1
31. Correct Answers:
β’ x = β7ββ
132 or x =
β7+β
132
33. Correct Answers:β’ x = 3β
β17
4 or x =3+β
174
35. Correct Answers:β’ t = 3 or t = 1
37. Correct Answers:β’ {β4}
39. Correct Answers:β’ β7,10
41. Correct Answers:β’ β0.7,5.2
43. Correct Answers:β’ 8 cmβ’ 15 cm
45. Correct Answers:β’ 5 inβ’ 21 in
47. Correct Answers:β’ 110β’ 200β’ 100β’ 220
49. Correct Answers:β’ 2 ft
51. Correct Answers:β’ 2.51865
53. Correct Answers:β’ 0.875038β’ 9.32904
55. Correct Answers:β’ $105.00β’ $285.00
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ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 59
8 5-COMPLEX SOLUTIONS TO QUADRATIC EQUATIONS EXERCISES
1. Correct Answers:β’ iβ
303. Correct Answers:β’ 3iβ
65. Correct Answers:β’ 2iβ
427. Correct Answers:β’ t = 7i or t =β7i
9. Correct Answers:β’ x = 10i or x =β10i
11. Correct Answers:β’ y = i
β2 or y =βi
β2
13. Correct Answers:β’ r = 3i
β7 or r =β3i
β7
15. Correct Answers:β’ t =β8+9i or t =β8β9i
17. Correct Answers:β’ x = 1+2i or x = 1β2i
19. Correct Answers:β’ x =β5+ i
β3 or x =β5β i
β3
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60 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
9 1-INTRODUCTION TO FUNCTIONS EXERCISES
1. Correct Answers:β’ does not describeβ’ {β8,β6,β2,9}β’ {3,5,8}
3. Correct Answers:β’ describesβ’ {β2,4}β’ {4,8}β’ describesβ’ {β8,β6,5}β’ {7,9,10}β’ does not describeβ’ {β9,5,10}β’ {2,3,6}β’ describesβ’ {β6,β1,0,7,8}β’ {2,3,5,10}
5. Correct Answers:β’ doesβ’ does not
7. Correct Answers:β’ doesβ’ does not
11. Correct Answers:β’ 9β’ 4β’ 6
13. Correct Answers:β’ 27β’ β36β’ 0
15. Correct Answers:β’ β15β’ 15β’ 5
17. Correct Answers:β’ 3β’ 9β’ 5
19. Correct Answers:β’ 7β’ β5β’ β9
21. Correct Answers:β’ 8β’ 0β’ 9
23. Correct Answers:β’ 5β’ 5β’ 5
25. Correct Answers:
β’ 149β’ 712
27. Correct Answers:β’ β10β’ undefined
29. Correct Answers:β’ 12β’ 12
31. Correct Answers:β’ β18β’ β2
33. Correct Answers:β’ 10β’ 109β’ undefined
35. Correct Answers:β’ β4β’ 43
37. Correct Answers:β’ β2β’ β 34
39. Correct Answers:β’ 3,β3β’ no real solutions
41. Correct Answers:β’ 7,5
43. Correct Answers:β’ {β7,β3,0}β’ {β8,β1}
45. Correct Answers:β’ (ββ,β)β’ [β2,β)
47. Correct Answers:β’ 5β’ x = 3,x = (β3)
49. Correct Answers:β’ β1β’ x = 1
51. Correct Answers:β’ β1β’ x = 0,x = 2
53. Correct Answers:β’ (10,7)β’ β1
55. Correct Answers:β’ (y,x)
57. Correct Answers:β’ t
59. Correct Answers:β’ x5280
-
ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 61
β’ 2.27273β’ 12000
61. Correct Answers:β’ D
63. Correct Answers:β’ D
65. Correct Answers:β’ B
67. Correct Answers:β’ D
69. Correct Answers:
β’ 4β’ Dβ’ 2,8β’ C
71. Correct Answers:
β’ 98β’ Dβ’ 4,8β’ D
-
62 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
9 2-PROPERTIES OF QUADRATIC FUNCTIONS EXERCISES
1. Correct Answers:β’ x = 2β’ (2,β17)
3. Correct Answers:β’ x =β2β’ (β2,17)
5. Correct Answers:β’ x = 2β’ (2,9)
7. Correct Answers:β’ x =β5β’ (β5,75)
9. Correct Answers:β’ x = 0β’ (0,1)
11. Correct Answers:β’ x =β 52β’(β 52 ,β
1214
)13. Correct Answers:β’ x = 2.5β’ (2.5,24)
15. Correct Answers:β’ x = 0β’ (β0,0)
17. Correct Answers:β’ x = 0β’ (0,β4)
19. Correct Answers:β’ x =β5β’ (β5,β4)
21. Correct Answers: Table omitted.
β6 β4 β2 2 4 6β4
4
8
12
16
x
y
23. Correct Answers: Table omitted.
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
25. Correct Answers: Table omitted.
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
27. Correct Answers: Table omitted.
β6 β4 β2 2 4 6
β4
β2
2
4
6
8
x
y
29. Correct Answers:
β’ β2,2β’ β4
31. Correct Answers:
β’ 2,β4β’ β8
33. Correct Answers:
β’ 225 ftβ’ 112.5 ftβ’ 25312.5 ft2
35. Correct Answers:
β’ 66 ftβ’ 49.5 ftβ’ 3267 ft2
37. Correct Answers:
β’ 42.4 ftβ’ 26.5 ftβ’ 1123.6 ft2
39. Correct Answers:
β’ $46,512.50β’ $305.00β’ $260.00β’ $350.00
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ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018 63
9 3-GRAPHING QUADRATIC FUNCTIONS EXERCISES
1. Correct Answers:
β’ (0,3)β’ (β1,0) ,(β3,0)
3. Correct Answers:
β’ (0,β4)β’ (2,0) ,(β2,0)
5. Correct Answers:
β’ (0,0)β’ (0,0) ,(4,0)
7. Correct Answers:
β’ (0,25)β’ (β5,0)
9. Correct Answers:
β’ (0,4)β’ DNE
11. Correct Answers:
β’ (0,1)β’ (β0.17,0) ,(β5.83,0)
13. Correct Answers:
β’ (0,1)β’ (β0.2,0)
15. Correct Answers:
β’ (0,β4)β’ (β0.8,0) ,(β1,0)
17. Correct Answers:The parabola opens upward.The x-intercepts are (3,0) and (4,0).The y-intercept is (0,12).The vertex is (3.5,β0.25) and the axis of symmetry is x = 3.5.Symmetry can be used to determine the point (7,12).
β5 5
5
10
x
y
19. Correct Answers:The parabola opens downward.The x-intercepts are (β5,0) and (4,0).The y-intercept is (0,20).The vertex is (β0.5,20.25) and the axis of symmetry is x =β0.5.Symmetry can be used to determine the point (β1,20).
β5 5
5
10
15
20
x
y
21. Correct Answers:The parabola opens upward.The x-intercept is (4,0).The y-intercept is (0,16).The vertex is (4,0) and the axis of symmetry is x = 4.Symmetry can be used to determine the point (8,16).
β5 5
5
10
15
x
y
23. Correct Answers:The parabola opens upward.The x-intercepts are (β2,0) and (2,0).The y-intercept is (0,β4).The vertex is (0,β4) and the axis of symmetry is x = 0.
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
25. Correct Answers:The parabola opens upward.The x-intercepts are (β6,0) and (0,0).The y-intercept is (0,0).The vertex is (β3,β9) and the axis of symmetry is x =β3.
-
64 ANSWERS TO ODD EXERCISES FOR MTH 60 AND 65 FOR ORCCA, WINTER 2018
β5 5
β5
5
x
y
27. Correct Answers:The parabola opens downward.The x-intercepts are (5,0) and (0,0).The y-intercept is (0,0).The vertex is (2.5,6.25) and the axis of symmetry is x = 2.5.
β6 β4 β2 2 4 6
β6
β4
β2
2
4
6
x
y
29. Correct Answers:The parabola opens upward.There are no x-intercepts.The y-intercept is (0,7).The vertex is (β2,3) and the axis of symmetry is x =β2.Symmetry can be used to determine the point (β4,7).
β5 5
β5
5
x
y
31. Correct Answers:The parabola opens upward.The x-intercepts are (β1+
β6,0) and (β1β
β6,0), or approxi-
mately (β3.449,0) and (1.449,0).The y-intercept is (0,β5).The vertex is (β1,β6) and the axis of symmetry is x =β1.Symmetry can be used to determine the point (β2,β5).
β5 5
β5
5
x
y
33. Correct Answers:The parabola opens downward.The x-intercepts are (2β
β3,0) and (2+
β3,0), or approximately
(0.268,0) and (3.732,0).The y-intercept is (0,β1).The vertex is (2,3) and the axis of symmetry is x = 2.Symmetry can be used to determine the point (4,β1).
β5 5
β5
5
x
y
35. Correct Answers:The parabola opens upward.The x-intercepts are (β3,0) and (5,0).The y-intercept is (0,β30).The vertex is (1,β32) and the axis of symmetry is x = 1.Symmetry can be used to determine the point (2,β30).
β5 5
β35
β20
β5
xy
37. Correct Answers:β’ 12 sβ’ 2304 ftβ’ 24 sβ’ 2160 ftβ’ 5 sβ’ 19 s
39. Correct Answers:β’ 18 sβ’ 1787.6 mβ’ 37.1002 sβ’ 1547.5 mβ’ 6 sβ’ 30 s
41. Correct Answers:β’ Yes
43. Correct Answers:β’ Yes
45. Correct Answers:β’ 0.408163β’ 20
47. Correct Answers:β’ $105.00β’ $645.00
