1. Liceo Poeta Federico García Lorca.
Dpto. de Matemáticas.
Prof. Karla Palma.
ECUACIONES ENTERAS Y FRACCIONARIAS DE PRIMER GRADO
Determinar la solución de las siguientes ecuaciones:
1. 5 + 6x = 2 49. 7 - [8x - 3(x + 3)] = 5x - (4 - 2x)
2. 4b + 1 = -18 50. 1 - a = 1
3. 18c - 3 = 0 51. b/5 = 1/2
4. 5 - 2d = 9 52. 2.c/7 = 3/4
5. - 3f + 1 = 4
6. - 2 - 5g = 0
7. 13 - h = 13
8. 5j - 9 = 3j + 5
9. 2k + 7 = 12 - 3k
10. 10 - 4x = 7 - 6x
11. 5m - 3,2 = 2m + 2,8
12. 5n - 2n + 12 = 35 - 4n - 9
13. 3ñ - 15 + 2ñ - 14 = ñ - 11
14. 48p - 13 + 12p = 72p - 3 - 24p
15. q - 3 + 6q - 9 + 12q - 15 = q
16. 6r + 12r - 9 - 8r + 10 + r = 0
17. 5s + (4 - s) = 9 - (s - 6)
18. (3t - 1) + 7 = 8t - (3 - 2t)
19. 3 - (8v-5) + (6-7v) - 1 = 7 - (v-1) + (4v+4) a<
20. (3w - 8) - (4 - 9w) + 3 = 7w - 2 - (5w + 9 - 3)
21. -(4x-6+5x) + (9-5x+3-2x) = 7x - (1 - 6x)
22. 12y = 3(3y - 5)
23. 3z - 1 = 2(z - 1)
24. 2(b + 2) - 5(2b - 3) = 3
25. 7 - 6(c - 1) + 3(3 - 4c) = 7 + (7c - 4)
26. 4-2(d + 7)-(3d + 5)=2d+(4d-9+3d)-(d - 3)
27. 8(6f - 14)-7(12 - 5f)+(23f + 2)-(2f + 65) = 0
28. 21 - [5g - (3g - 1)] - g = 5g - 12
29. 40h - [24 - (6h + 8) - (5 - 2h )] = 3-(8h - 12)
30. 3[2 - (3j - 6)] + 4[6j - (1 - 2j)] = 4 - 5j
31. 2 - {k - [6k - (1 - 2k)]} = 100
32. 3[2x - (5x + 2)] + 1 = 3x - 9(x -3)
33. 2 - {2m + [2m - (2 - 2m)]} = 2
34. 34 - 52(12n - 34) + 235 = 32 + 101(35n - 1)
35. 2 - (3ñ + 4)-(5ñ - 6 )-(7ñ - 8)-(9ñ - 10) = 11
36. 2[7p - 2(p - 1)] + 3(4p + 7) = 5 - (p - 1)
37. 8{2 - [q + 2(q - 3)] + 1} = 3 - (8 - 3q)
38. 2 - 3(r - 7) - 7r = 4(r - 2) + 8
39. 33,7 - (1,5s + 2,3) = 3,4s - (0,4 - 5,7s)
40. (t - 3)² - (t - 2)² = 5
41. (2v - 4)² + 6v - 3 = 4v² - (3v - 1)
42. (w + 3)² + 4 = (w - 2)² + 5w - 2
43. (3x - 3)² - (2x - 7) = (3x - 5)(3x + 5)
44. 2 - (y + 1)² = 5 - 3[y - (5y + 9)] - y²
45. 6z - 1 + 2z + 5z - 9 - 234 = 999
46. 2{x - [x - (x - 1)]} + (x + 2) = 256
47. (x - 7)² - (1 + x)² = 2(3x - 4)
48. 6x - (2x - 1)(2x + 1) = 2 - (3 + 2x)²

2. Liceo Poeta Federico García Lorca.
Dpto. de Matemáticas.
Prof. Karla Palma.
100.- (x - 2)2 - (x + 1).(x - 1) = 5
SOLUCIONES:
1. -1/2 21. 19/29 41. 12/7 61. 7/10 81. -27/38
2. -19/4 22. -5 42. -11/5 62. 8/3 82. 28/3
3. 1/6 23. -1 43. 41/20 63. 67/25 83. 19/13
4. -2 24. 2 44. -31/14 64. 91/62 84. 767/451
5. -1 25. 19/25 45. 1243/13 65. 539/73 85. 6/7
6. -2/5 26. -9/13 46. 256/3 66. 734/223 86. -28/33
7. 0 27. 259/104 47. 28/11 67. 173/66 87. 169/34
8. 7 28. 4 48. -4/9 68. -491/314 88. 26/3
9. 1 29. 1/2 49. 5/3 69. 53/28 89. 139/62
10. -3/2 30. -4/7 50. 0 70. 78/17 90. -117/121
11. 2 31. 99/7 51. 5/2 71. 47/4 91. 135/146
12. 2 32. -32/3 52. 21/8 72. 127/89 92. 9/19
13. 9/2 33. 1/3 53. 5 73. 159/25 93. 76/47
14. 5/6 34. 2106/4159 54. 50 74. -7/39 94. -56/19
15. 3/2 35. 19/24 55. -2 75. 137/26 95. 23/18
16. -1/11 36. -19/23 56. 5 76. 73/71 96. 173/296
17. 11/5 37. 77/27 57. -46/15 77. 16/3 97. 130/71
18. 9/7 38. -21/8 58. 2 78. 677/89 98. -11/3
19. 1/18 39. 3 59. 1 79. -71/4 99. -23/28
20. 1/10 40. 0 60. -8 80. -15/62 100. 0