GUIA EJERCITACIÓN

Ayudante: Vicente Andrés Caerols G.

Esta guía es de exclusiva propiedad de quien la emite. No duplicar

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 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

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. 1464/191135. 11/2436. -19/2337. 238. -21/839. 340. 0

41. 12/742. -11/543. 41/2044. -31/1445. 1243/1346. 256/347. 28/1148. -4/949. 5/350. 0