Ecuaciones Enteras y Fraccionarias de Primer Grado
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ECUACIONES ENTERAS Y FRACCIONARIAS DE PRIMER GRADO Determinar la solución de las siguientes ecuaciones: 1. 5 + 6x = 2 2. 4b + 1 = -18 3. 18c - 3 = 0 4. 5 - 2d = 9 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) 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 49. 7 - [8x - 3(x + 3)] = 5x - (4 - 2x) 50. 1 - a = 1 51. b/5 = 1/2 52. 2.c/7 = 3/4
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Transcript of Ecuaciones Enteras y Fraccionarias de Primer Grado
ECUACIONES ENTERAS Y FRACCIONARIAS DE PRIMER GRADO
Determinar la solución de las siguientes ecuaciones:
1. 5 + 6x = 22. 4b + 1 = -183. 18c - 3 = 04. 5 - 2d = 95. - 3f + 1 = 46. - 2 - 5g = 07. 13 - h = 138. 5j - 9 = 3j + 59. 2k + 7 = 12 - 3k10. 10 - 4x = 7 - 6x11. 5m - 3,2 = 2m + 2,812. 5n - 2n + 12 = 35 - 4n - 913. 3ñ - 15 + 2ñ - 14 = ñ - 1114. 48p - 13 + 12p = 72p - 3 - 24p15. q - 3 + 6q - 9 + 12q - 15 = q16. 6r + 12r - 9 - 8r + 10 + r = 017. 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)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) = 325. 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) = 028. 21 - [5g - (3g - 1)] - g = 5g - 1229. 40h - [24 - (6h + 8) - (5 - 2h )] = 3-(8h - 12)30. 3[2 - (3j - 6)] + 4[6j - (1 - 2j)] = 4 - 5j31. 2 - {k - [6k - (1 - 2k)]} = 10032. 3[2x - (5x + 2)] + 1 = 3x - 9(x -3)33. 2 - {2m + [2m - (2 - 2m)]} = 234. 34 - 52(12n - 34) + 235 = 32 + 101(35n - 1)35. 2 - (3ñ + 4)-(5ñ - 6 )-(7ñ - 8)-(9ñ - 10) = 1136. 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) + 839. 33,7 - (1,5s + 2,3) = 3,4s - (0,4 - 5,7s)40. (t - 3)² - (t - 2)² = 541. (2v - 4)² + 6v - 3 = 4v² - (3v - 1)42. (w + 3)² + 4 = (w - 2)² + 5w - 243. (3x - 3)² - (2x - 7) = (3x - 5)(3x + 5)44. 2 - (y + 1)² = 5 - 3[y - (5y + 9)] - y²45. 6z - 1 + 2z + 5z - 9 - 234 = 99946. 2{x - [x - (x - 1)]} + (x + 2) = 25647. (x - 7)² - (1 + x)² = 2(3x - 4)48. 6x - (2x - 1)(2x + 1) = 2 - (3 + 2x)²49. 7 - [8x - 3(x + 3)] = 5x - (4 - 2x)
50. 1 - a = 151. b/5 = 1/252. 2.c/7 = 3/4
100.- (x - 2)2 - (x + 1).(x - 1) = 5
SOLUCIONES:1. -1/22. -19/43. 1/64. -25. -16. -2/57. 08. 79. 110. -3/211. 212. 213. 9/214. 5/615. 3/216. -1/1117. 11/518. 9/719. 1/1820. 1/10
21. 19/2922. -523. -124. 225. 19/2526. -9/1327. 259/10428. 429. 1/230. -4/731. 99/732. -32/333. 1/334. 2106/415935. 19/2436. -19/2337. 77/2738. -21/839. 340. 0
41. 12/742. -11/543. 41/2044. -31/1445. 1243/1346. 256/347. 28/1148. -4/949. 5/350. 051. 5/252. 21/853. 554. 5055. -256. 557. -46/1558. 259. 160. -8
61. 7/1062. 8/363. 67/2564. 91/6265. 539/7366. 734/22367. 173/6668. -491/31469. 53/2870. 78/1771. 47/472. 127/8973. 159/2574. -7/3975. 137/2676. 73/7177. 16/378. 677/8979. -71/480. -15/62
81. -27/3882. 28/383. 19/1384. 767/45185. 6/786. -28/3387. 169/3488. 26/389. 139/6290. -117/12191. 135/14692. 9/1993. 76/4794. -56/1995. 23/1896. 173/29697. 130/7198. -11/399. -23/28100. 0
