ecuaciones 1,2

7
ECUACIONES DE PRIMER GRADO 1. 2x-(3x-1)=4-2x 2. 4x-[2x-(3x-1)]=4-2x 3. 3(x-2)= -5 (4-2x) 4. 5(3x-8) – 4(2x-6) – 9x =2 5. 2 – 3(x-7) – 7x = 4 (x-2) + 8 6. x – 4(2x-6) – (x-8)= 0 7. 3(x+6)= -2(5-x) 8. -4(x-1)=7(1-x) 9. x-15=3(2x-1)-(x-4) 10. 5 5 4 x x 11. 7 8 4 2 x x x 12. 10 3 5 1 2 4 3 x x 13. x - 2 1 6 2 x 14. 2x+1= 5 6 x 15. 3 3 4 2 x x 16. 2 5 4 x = 5 6 x 17. 4 12 4 x = x – 5 18. ) 2 ( 3 x = 4 19. 2 1 1 4 3 5 4 x x x 20. 5x – ( x x 4 3 ) 3 1 21. 4 5 3 ) 2 ( 2 x x x 22. 7 40 32 x x 23. 5 3 176 x x 24. 1 17 3 7 3 x x 25. 2 ( 5x+1) – 2(7x-9)= 10(3x+2) + 11(5-3x)-61 26. x - 3 6 1 2 1 x x 27. 3 5 2 1 4 3 6 x x x 28. 10 12 ) 4 ( 5 16 ) 8 ( 3 x x x

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Ejercicos para trabajar y repasar

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Page 1: ECUACIONES 1,2

ECUACIONES DE PRIMER GRADO 1. 2x-(3x-1)=4-2x 2. 4x-[2x-(3x-1)]=4-2x 3. 3(x-2)= -5 (4-2x) 4. 5(3x-8) – 4(2x-6) – 9x =2 5. 2 – 3(x-7) – 7x = 4 (x-2) + 8 6. x – 4(2x-6) – (x-8)= 0 7. 3(x+6)= -2(5-x) 8. -4(x-1)=7(1-x) 9. x-15=3(2x-1)-(x-4)

10. 554

xx

11. 7842

xxx

12. 10

3

5

1

24

3 xx

13. x - 2

1

6

2

x

14. 2x+1=5

6x

15. 33

42

xx

16. 2

5

4

x= 5

6

x

17. 4

124

x

= x – 5

18. )2(

3

x

= 4

19. 2

11

4

3

5

4

xxx

20. 5x – ( xx4

3)

3

1

21. 4

5

3

)2(2 xx

x

22. 740

32

x

x

23. 5

3

176

x

x

24. 1173

73

x

x

25. 2 ( 5x+1) – 2(7x-9)= 10(3x+2) + 11(5-3x)-61

26. x - 3

61

2

1

xx

27. 3

521

4

3

6

xxx

28. 1012

)4(5

16

)8(3

x

xx

Page 2: ECUACIONES 1,2

29. 1 - 3

535

3

2

xx

x

30. 23

103

4

6

xx

31. 1)4(6

1)53(

4

1 xx

32. 3

2)1(

6

5)3(

3

1 xx

33. 23

103

4

6

xx

34. 1)4(3

1)3(

2

1 xx

35. 3

12

2

3

4

2

xxx X=8

36. x - 2

395

4 xx

x X=30

37. 2

9

10

54

8

95

xx

x X= 5

38. 4x – 2 (x+8) = 2x + 3 ( 4 – x) X = 10

39. 3

2 x -

4

1 =

6

1 - x X =

4

1

40. 2x – 3 (x – 1) = 5 – x X= 0

2

41. 2

1x -

3

2x -

4

3x= 0 X= 11

42. 3x – (2x – 5) = 12 X = 7

43. 2

37)65(

2

1)112(

5

1 xxx X= -

2

1

44. 15)5()4( 22 xx X= -3

45. 16

11

48

1

x X= 24

46. 5 – (1+3x) – 2 (x-1) = 0 X=5

6

47. 5

4

1

42

x

x X= 4

48. 2x – 2 (x – 3) = 12 X = 0

6

49. 2x – [3 – 2 (5x - 4) ] = 6x – 2 X= 2

3

50. 4x + 7 = 2 – 3 (1 + 3x) X= -13

8

51. 214

x

X= 4

52. – 8 (10 – x) = - 6 X= 4

37

53. 5x + 2 = -10 X= - 5

12

Page 3: ECUACIONES 1,2

54. 1- xx

xx

3

2

10

74

40

52

X=

158

51

55. 53

21

4

3

xx X= 48

56. 2

117)65(

2

1)112(

5

1 xxx X= -

5

22

57. 2)3(10)4

3(7

4

49 xx X= -7

58. 3

134)

2

1(85

3

4 xxx

x X= -2

59. xxx )3(7

1)15(

5

1 X=

5

22

60. 3

21395

8

53 xx

x

X=

121

1148

121

1082

61. )24(5

4

2

7

3

8

7

35

x

xxx

62. 2x-5

1)3(2

3

2

10

31

x

x

63. 2

1

65

43

x

x

64. 1- 3

5

7

3

21

82

xx

xx

65. 3

5

21

21

x

x

66. 22

1)3(

5

4)12(

4

3 xxx

67. 7

2

13

25

x

x

68. 3(2x+1) – 5 =14 – (x+4)

69. 1 - 15

23 x = x -

3

1 x

70. (5x-4)(8x-9) – (10x-9)(4x+3) = 3(4-6x) -2

71. x – 1 - 03

3

2

2

xx

DE SEGUNDO GRADO 72. 2x 2 - x = 0 73. x 052 x 74. 4x 2 - 16 = 0 75. 4x 2 - 32x = 0 76. 8x 2 - 2x = 0 77. 3x 2 = 27 78. 9 = 3 (x )12

79. x2

- 16x = 0 80. 3x 0272 81. 11x 2 - 44x =0 82. 7x = 21 x 2

Page 4: ECUACIONES 1,2

83. 9x 2 +26= 3x 2 +80 84. 7x 2 +21x = 0 85. 5x 2 + 40x = 0 86. x 2 = 7x 87. x 2 + 3x = 0 88. 2x 2 - 1 = 1 89. 3(x+1) – x(x-1) = 4x 90. 2x 2 - 1= -1

91. 02

3

3

2 2

xx

92. 15

11

3

73

5

42 22

xx

93. x

x

x

x 12

12

3

3

94. 8

5

9

11

3

722

xx

95. x 050152 x 96. x 035122 x 97. 16x 2 - 104x+25=0 98. x 0862 x 99. 3x 2 -10x+3=0 100. x 02092 x 101. 6x 0152 x 102. 7x 22 310110 xx 103. 2x 22 11 xx 104. x 25001002 x 105. x 0)178(82 xx

106. 8x 12202 x 107. x x249502 108. 24x+35=-2x 2 -35 109. x 2 -x=30 110. 11x (11x-4)=5 111. 8x 2 +1=-6x 112. 2x 2 - 1= 3x – 2x 2 113. 5x 0232 x 114. x 0652 x 115. 6x 422 x 116. 3x 22 3342 xxx 117. 5x 2 - 2x=3-3x 2 118. 16x 9100602 xx 119. 2x 09192 x 120. (x-1) 2 =16 121. 2(x 2 +1) -5x =0

122. 11x = 3 (2x2

+1) 123. 3(x-1)(x+1)=8x

124. (x-1)(x+1) =12

7x

Page 5: ECUACIONES 1,2

125. 15= 4(3x )22 x

126. (2x-1) 2 = 25

127. (3x- 49)2

1 2

128. 3x(5x-1) = 4(x+9) 129. 20x 22 5420 xx

130. 10x )56(315 22 xxx

131. x 1872 x 132. x-6+2x xx 84 22 133. (3x-2) 22 )1(1 x

134. (x-3) 0)9(2 22 x 135. (x-1)(x-2) - 12 = 0

136. 2+ 33

12

x

x

137. 2= xx

x

82

202

138. )5(15336

xx

x

139. x3

2

3

1

22 xx

140. x = 8 - x

12

141. 2

1

9

2

x

x

142. 2

5

2

5

x

x

143. 146

64

8

36 22

xx

24

336

24

2564

24

1083 22

xx

7x 2 = 336+364 7x 2 = 700 X = 100 = 10

144. 116

14

165

43

x

x

x

x

18x 2 - 33x – 24x + 44 = 20x 2 - 64x +5x – 16 18x 2 - 20x 2 -33x-24x+64x-5x+44+16=0 -2x 2 + 2x+60=0

Page 6: ECUACIONES 1,2

145. 5

42

5

3

x

x

x

x

xx

xx

5

4

5

10

5

3 2

-x 2 + 3x + 4x – 10 =0

- x 2 +7x-10=0 x 2 -7x+10=0 x 51

x=

2

37

2

40497 x 22

146. 12x 0602 147. (x+4) 2482 x x 2481682 xx x 2 + 16 – 24 = 0 x 2 - 8 = 0 x = 8 148. 6x 014172 x

149. 3

132

2

xx

x

x

x

xxx

x

6

2

6

18

6

12

6

3 2

3x 2 + 2x – 6 = 0

X=6

)6.(3.442 =

6

762

150. 4x(x+2)-5=12-(x-4) 2 4x 2 + 8x – 5 = 12 – (x 2 - 8x + 16) 4x 2 + 8x – 5 = 12 - x 2 + 8x – 16 4x 2 + x 2 + 8x – 8x – 5 – 12 + 16 = 0 5x 2 - 1 = 0

X = 5

1

151. x 2 -6x=0 152. 4x 032 x 153. (x-1)(x+3)-(x-2) 122 x x 2 + 3x – x – 3 – (x 2 - 4x + 4) = x 2 + 1 x 2 + 2x – 3 - x 2 + 4x – 4 = x 2 + 1

- x 2 + 6x – 8 = 0 x 2 - 6x + 8 = 0 x= 4

x =

2

26

2

32366 x= 2

154. 2x 0182 155. 3x 0272

156. 5

42

5

3

x

x

Page 7: ECUACIONES 1,2

157. 3

1

6

3

4

522

xx

158. 4x 0162 159. 4x 0322 x 160. 5x 0402 x 161. 9 = 3(x )12

162. 2x 062 x 163. (2x – 1) 252

164. )5(15336

xx

x

165. (x – 1) 02 166. (x – 2) 012 167. x (x-1)= x-5

168. 14

2

8

3 2

xxx

169. (x- 0)5)(2

1x

170. x+2= x

3

171. x xx 25)1(32 172. x(x+3)+6= - 3 (x+1)

173. x xx

4

672

174. x28

5

4

52 xx

175. 4x 50502

176. 04

164 2

xx

177. (x-3)(x+3) = 0

178. 4x(x-3

2) = 0

179. (x-2

1) x =0