Download /MTH 098 ANSWERS TO FINAL EXAM REVIEW 1. 1 2 2. –40 3. –52

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/MTH 098
ANSWERS TO FINAL EXAM REVIEW
3.
1
2
–52
5.
1
x=3
6.
x=1
7.
x = –3
8.
a=
9.
y=
1.
x+4
1
or y = x + 2
2
2
a2
11. 9b4
13. 3a
5b2
15. a2
1
17.
x −8
19. 6b2 + 11b – 10
20. 10x2 + 41x + 21
22. x2 – 49
24. y2 + 4y + 4
26. 5x2 + 5x – 3
28. –3y3 – 7y2 + 7y – 5
30. –15a5b3
32. x2 – 2x + 3
2
34. 3a – 4 + a
x ( x + 4)
36.
y ( x − 5)
x (x + 1)
38. x + 2
40.
42.
44.
46.
48.
50.
52.
54.
56.
58.
60.
2x + 15
3x2
1
x−4
5a (a – 5)
4xy (2xy – 1)
(x + 5) (x – 5)
(b – 9c) (b + 9c)
(x + 4) (x – 3a)
(a – 7) (a + 3)
(x + 7) (x – 2)
x (x – 10) (x + 7)
(4x – 3) (2x – 1)
2.
–40
4.
a = –1
3
− 3b + 10
or a = − b + 2
5
5
10. x6y8
2x5
12. y2
14. –5a2b2
3
16. 5
3x + 5
18. −
x+4
2x2 – 13x + 6
16x2 – 1
9x2 – 24x + 16
5a2 – 7a – 3
x5y7
x4 + 3x3 – 2x2
–2a2 + 3a – 4
xb
35.
a
3aby2
37. 8x
21.
23.
25.
27.
29.
31.
33.
39.
41.
43.
45.
47.
49.
51.
53.
55.
57.
59.
61.
x( x + 2 y)
5(5x + y )
4 + 5x
x
3b + 2
b2
3
6 (x – 7x2 + 9)
4a2b (2a + 3b – ab)
(3x + 8y) (3x – 8y)
(a – b) (x + 2)
(2y + 1) (4y + 3)
(p + 8) (p – 3)
a(x + 13) (x + 4))
(4x + 3) (3x – 5)
5 (5x – 1) (2x + 3)
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62. (3x + 2y)2
5 ⎧ 5 ⎫
64. x = 0, − ; ⎨− ,0⎬
3 ⎩ 3 ⎭
66. x = 10, –5; {–5, 10}
67. –12
68. x = 52
69. x = −
70. x ≤ 3
(–∞, 3]
63. 3a(a – 7)2
65. x = –5, 3; {–5,3}
3
2
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
71. y ≤ –4
(–∞, –4]
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
72. x ≥ 3
[3, ∞)
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
73. x > –2
(–2, ∞)
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
74. x < –6
(–∞, –6)
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
76. –x5
78. 2xy2
80. 4 xy 3 3 y
75. 7
77. 3 3
79. 8x 2 y 5 x
1
81. midpoint = ⎛⎜ , 3 ⎞⎟ ; distance = 15
3
82. midpoint = ⎛⎜ , 0 ⎞⎟ ; distance = 5
83. midpoint = (4, 5); distance = 10
3
85. −
4
84. –3
4
86. −
3
1
88. 5
⎝2
87. –2
1
89. 3
⎠
⎝2
⎠
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2
2
90. y = − x + 2; m = − ; y-int. = (0, 2); x-int. = (3, 0)
3
3
y
5
4
3
2
1
x
-7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7
-1
-2
-3
-4
-5
91.
1
1
y = − x – 1; m = − ; y-int. = (0, –1); x-int. = (–3, 0)
3
3
y
5
4
3
2
1
x
-7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7
-1
-2
-3
-4
-5
5
92. y = 5x – 5; m = 1 ; y-int. = (0, –5); x-int = (1, 0)
y
7
6
5
4
3
2
1
-7 -6 -5 -4 -3 -2 -1
-1 1 2 3 4 5 6 7
-2
-3
-4
-5
-6
-7
x
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y
93. m = 0
7
6
5
4
3
2
1
-5 -4 -3 -2 -1
-1
-2
x
1
2
3
4
5
-3
94.
slope is undefined
y
7
6
5
4
3
2
1
-5 -4 -3 -2 -1
-1
-2
x
1
2
3
4
5
-3
95. 5 cm
96.
8 cm
97. z = 70°, x = 70°, y = 110°
98.
a = 60°, b = 120°, c = 120°
99. (–3, –3)
100. Inconsistent system, no solution
101. (3, 4)
102. Dependent system, infinite solutions
103. length = 35 m
104. smaller angle = 20°, larger angle = 70°
105. smaller angle = 30°, larger angle = 150°
106. 8 lbs of sunflower seeds, 2 lbs of cracked corn
107. Area = 60 ft2
108. smaller number = 21
109. 37, 39, 41
110. $3000 @ 7.5%, $7000 @ 9%
111. 53.3 mph
112. 18 in
7
114. 1 hours
113. 114 ft
8