course mth 151
7.13. 3(6 + 4) = 5 (6)Yes it is a solution
30= 30
5. Solution set
6. 4 [ 7 + (2 7 (3)) ] = 2 ( 4 4 (7) Yes it is a solution set
4 ( 7 -19) = 2 ( - 24)
4 ( -12) = 2 ( -24)
-48= -48
9. 7k + 8 = 1
7k = -7
K = -1
10. 5m 4 = 21
5m = 25
m = 5
12. 9 2r = 15
-2r = 6
r = -3
15. 12w + 15w 9 + 5 = -3w + 5 9
27w 4 = -3w -4
-9 = w
18. 4 ( x 9) = 8 ( x + 3)
4x 36 = 8x + 24
-12 = 4 x
-3= x
20. 4 ( x -2) + 2 ( x + 3) = 6
4x 8 + 2x + 6 = 6
6x 2 = 6
6x= 8
X = 4 / 3
21. 2x + 3 ( x 4) = 2 ( x 3)
2x = 3x 12 = 2x 6
5x 12 = 2x 6
24. -2k 3 ( 4 2 k) = 2 ( k 3) + 2
-2k 12 + 6k = 2k 6 + 2
4k 12 = 2k 4
4k = 2k + 8
2k = 8
K = 4
25. - [ 2z ( 5z + 2)] = 2 + ( 2z + 7)
- [ 2z 5z 2 ] = 2 + 2z + 7
-2z + 5z + 2 = 9 + 2z
3z + 2 = 9 + 2z
Z = 7
27. -3m + 6 5 (m 1) = - ( 2m 4 ) 5m + 5
3m + 6 5m + 5 = -2m + 4 5m + 5
-8m + 11 = -7m + 9
-m = -2
M = 2
30. 2 [ - (x 1) + 4 ] = 5 + { - (6x 7) + 9x }
2 [ -x + 1 + 4 ] = 5 = { -6x + 7 + 9x }
-2x + 2 + 8 = 5 6x + 7 + 9x
-2x + 10 = 12 + 3x
X = 2
33. ( 2m 6) (3m 4) = - (-4 + m) 4m + 6
2m 6 3m + 4 = 4 m 4m + 6
-1m 2 = 10 5m
4m = 12
M = 3
35. .05x + .12 ( x + 5000) = 940 The answer is only 2
.05x + .12x + 600 = 940
.17x + 600 = 940
.17x = 340
X = 2000
36. (1/3x + 1/2 x = 1/6x) 12 Yes, but you are just going to have to simplify some
39. 15 ( x 8 / 5 ) + ( 8/5) = ( - x/3)
3 ( x 8) + ( 8) 3 = 5 ( - x)
3x 24 + 24 = -5x
2x = 0
X = 0
40. 21 ( 2r 3/ 7 + 3 / 7) = ( -r/ 3 ) 21
3 ( 2r 3) + 3 (3) = 7 ( -r)
6r 9 + 9 = -7r
6r = -7r
R = - 7/6
42. 2x + 5/ 5 = 3x + 1 / 2 + -x + 7 /2 (everything times by 10)
2 ( 2x + 5) = 5 ( 3x + 1) + (-x + 7) 5
4x + 10 = 15x + 5 5x + 35
4x + 10= 10x + 40
-6x = 30
X= -5
45. .02 ( 50) + .08r = .04 (50 + r)
2 ( 50) + 8r = 4 (50 + r)
100 + 8r = 200 + 4r
4r = 100
R= 25
48. .08x + .12 ( 260 x) = .48 x
8x = 12 ( 260 x) = 48x
8x 3120 12x = 48x
3120 4x = 48 x
3120 = 52x
60 = x
50 A
51. Contradiction empty set
54. Contradiction empty set
55. Contradiction empty set
60. Yes they are equivalent I believe its called the com. Property
63. b = a/h
65. P-b-c = a
66. v = LWH
v/l = WH
(v/l)/H = w
69. S = 2 pie rh + 2 pie r squared
s-2 pie r squared = 2 pie rh
s-2 pie r squared over 2 pie r = h
70. A= ½ ( B+b) h
A= (1/2 B + 1/2b) h
A= ½ Bh = ½ bh
a-1/2bh = ½ Bh
a-1/2bh OVER ½ h = B
72. f= 9/5 C + 32
f-32 = 9/5 C
f-32 OVER 9/5 = C
75. A. y = .2145 ( 5) + 15.60
Y= 16.7625
b. y = .2145 (7) + 15.69
y = 17.1915
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