Libro de prueba
8
1 ECUACIONES DE PRIMER GRADO 1. 5x-(3x-1)=4-2x 5x-3x+1=4-2x 5x-3x+2x=4-1 4x=3 X=3/4 2. 4x-[2x-(3x-1)]=4-2x 4x-[2x-3x+1]=4-2x 4x-2x+3x-1=4-2x 4x-2x+3x+2x=4+1 7x=5 X=5/7 3. 3(x-2)= -5 (4-2x) 3x-6= -20 + 10x 3x-10x=-20+6 -7x=-14 X=-14/-7 = 2 4. 5(3x-8) – 4(2x-6) – 9x =2 15x-40-8x+24-9x=2 15x-8x-9x=2+40-24 -2x=18 X=18/-2=-9 5. 2 – 3(x-7) – 7x = 4 (x-2) + 8 2-3x+21-7x=4x-8+8 -3x-7x-4x=-8+8-2-21 -14x=-23 X= -23/-14=23/14 6. x – 4(2x-6) – (x-8)= 0 x-8x+24-x+8=0 x-8x-x=0-24-8 -8x=-32 X=-32/-8 = 4 7. 3(x+6)= -2(5-x) 3x+18= -10 + 2x 3x-2x= -10-18 x=-28 8. -4(x-1)=7(1-x) -4x+4=7-7x -4x+7x=7-4 3x=3 X=3/3=1
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1
ECUACIONES DE PRIMER GRADO 1. 5x-(3x-1)=4-2x
5x-3x+1=4-2x 5x-3x+2x=4-1 4x=3 X=3/4
2. 4x-[2x-(3x-1)]=4-2x 4x-[2x-3x+1]=4-2x 4x-2x+3x-1=4-2x 4x-2x+3x+2x=4+1 7x=5 X=5/7
3. 3(x-2)= -5 (4-2x)
3x-6= -20 + 10x 3x-10x=-20+6 -7x=-14 X=-14/-7 = 2
4. 5(3x-8) – 4(2x-6) – 9x =2 15x-40-8x+24-9x=2 15x-8x-9x=2+40-24 -2x=18 X=18/-2=-9
5. 2 – 3(x-7) – 7x = 4 (x-2) + 8 2-3x+21-7x=4x-8+8 -3x-7x-4x=-8+8-2-21
-14x=-23 X= -23/-14=23/14
6. x – 4(2x-6) – (x-8)= 0
x-8x+24-x+8=0 x-8x-x=0-24-8 -8x=-32 X=-32/-8 = 4
7. 3(x+6)= -2(5-x)
3x+18= -10 + 2x 3x-2x= -10-18 x=-28
8. -4(x-1)=7(1-x) -4x+4=7-7x -4x+7x=7-4 3x=3 X=3/3=1
2
9. x-15=3(2x-1)-(x-4)
10. 554
xx
X = 100
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
124x= x – 5
18. )2(
3x = 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
32x
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(3x
xx
29. 1 - 3
535
3
2 xx
x
30. 23
103
4
6 xx
3
31. 1)4(6
1)53(
4
1xx
32. 3
2)1(
6
5)3(
3
1xx
33. 23
103
4
6 xx
34. 1)4(3
1)3(
2
1xx
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
1xxx 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
54. 1- xx
xx
3
2
10
74
40
52 X=
158
51
55. 53
21
4
3 xx X= 48
4
56. 2
117)65(
2
1)112(
5
1xxx X= -
5
22
57. 2)3(10)4
3(7
4
49xx X= -7
58. 3
134)
2
1(85
3
4xxx
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
35x
xxx
62. 2x-5
1)3(2
3
2
10
31x
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
3xxx
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
83. 9x 2 +26= 3x 2 +80
84. 7x 2 +21x = 0
85. 5x 2 + 40x = 0
5
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
125. 15= 4(3x )22 x
126. (2x-1) 2 = 25
6
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
12x
x
137. 2= xx
x
82
202
138. )5(15336
xx
x
139. x3
2
3
1
2
2 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
7
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
8
156. 5
42
5
3
x
x
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 2xx
177. (x-3)(x+3) = 0
178. 4x(x-3
2) = 0
179. (x-2
1) x =0
