Scribd
Upload
730 views4 pages

Matemáticas Ceneval: Ejercicios Resueltos

The document contains 82 math problems involving operations with expressions, factoring expressions, and solving equations. The problems cover topics such as combining like terms, distributing, factoring quadratics, and solving linear and quadratic equations. The problems progress from simpler operations and equations to more complex expressions and multi-step equations.

Uploaded by

Gabriel Medina
Copyright
© Attribution Non-Commercial (BY-NC)
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOC, PDF, TXT or read online on Scribd
730 views4 pages

Matemáticas Ceneval: Ejercicios Resueltos

The document contains 82 math problems involving operations with expressions, factoring expressions, and solving equations. The problems cover topics such as combining like terms, distributing, factoring quadratics, and solving linear and quadratic equations. The problems progress from simpler operations and equations to more complex expressions and multi-step equations.

Uploaded by

Gabriel Medina
Copyright
© Attribution Non-Commercial (BY-NC)
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOC, PDF, TXT or read online on Scribd
You are on page 1/ 4

Laboratorio de Matemáticas 42.

(18) (-17) (-10) =


43. (-7) (-9) (-10) =
para Ceneval. 44. (5a) (6a) (-11a) =
45. (14a) (8a) (-30a) =
46. (2ac) (-6ac) (9ac) =
Resuelve: 47. (mn) (-mn) (6mn) =
48. (3a + 10b) (-2a + 12b) =
1. (14) + (6) = 49. (3m -13) (-m + 23) =
2. (-14) + (-16) = 50. (7x + 7y) (3x – 9y + 6z) =
3. (-14) + (6) = 51. (3x – 3y) (2x + 5y) =
4. (18) + (-17) + (-10) = 52. (x – 8) (3x + 9) =
5. (-7) + (-9) + (-10) = 53. (2x + 16) (7x + 10) =
6. (5a) + (6a) + (-11a) = 54. (2a – 3b) (a + 5b) =
7. (14a) + (8a) + (-30a) = 55. (4a – 6b) (-a + 5b) =
8. (2ac) + (-6ac) + (9ac) = 56. (5a – 10c) (-6a + 7c) =
9. (mn) + (-mn) + (6mn) = 57. (11m + 13) (3m -21) =
10. (3a – 7ab + 10b) + (-2a + 7ab + 58. (x2 – 5x + 4) / (x - 1) =
12b) + (ab – 14b – 7a) = 59. (x2-7x -18) / (x + 2) =
11. (3m -10n -13)+ (-m +13n +23) = 60. (3x2+ x -24) / (x + 3) =
12. (7x + 7y) + (3x – 9y + 6z) = 61. (6x2+ 5x - 4) / (2x - 1) =
13. (3x – 3y - z) + (2x + 5y) = 62. (12x2 + 7x -10) / (4x + 5) =
14. (x + 2y – 8) + (3x – 4y + 9) = 63. (x2 + 6x + 9) / (x + 3) =
15. (2x +10y +16) + (7x – 8y +10) = 64. (x2 + 4x -32) / (x - 4) =
16. (2a – 3b - c) + (a + 5b – 3c) = 65. (2x2 + 4x -6) / (2x +6) =
17. (4a – 6b – 7c) + (-a + 5b + 3c) = 66. (12x3+10x2+8x+2) /(2x2+x+1) =
18. (5a + 9b – 10c) + (-6a + 7c) = 67. (x + 1)2 =
19. (11m –7n +13) + (3m –8n -21) = 68. (x - 2)2 =
20. (14) - (6) = 69. (x + 5)2 =
21. (-14) - (-16) = 70. (2x -1)2 =
22. (-14) - (6) = 71. (x + 3y)2 =
23. (18) - (-17) - (-10) = 72. (x – 4y)2 =
24. (-7) - (-9) - (-10) = 73. (2x + 3y)2 =
25. (5a) - (6a) - (-11a) = 74. (-x – 2y)2 =
26. (14a) - (8a) - (-30a) = 75. (mn + 5)2 =
27. (2ac) - (-6ac) - (9ac) = 76. (7m – 5n)2 =
28. (mn) - (-mn) - (6mn) = 77. (x + 1)3 =
29. (3a – 7ab + 10b) - (-2a + 7ab + 78. (x - 2)3 =
12b) - (ab – 14b – 7a) = 79. (x + 5)3 =
30. (3m -10n -13) - (-m +13n +23) = 80. (2x -1)3 =
31. (7x + 7y) - (3x – 9y + 6z) = 81. (x + 3y)3 =
32. (3x – 3y - z) - (2x + 5y) = 82. (x – 4y)3 =
33. (x + 2y – 8) - (3x – 4y + 9) = 83. (2x + 3y)3 =
34. (2x +10y + 16) - (7x –8y + 10) = 84. (-x – 2y)3 =
35. (2a – 3b - c) - (a + 5b – 3c) = 85. (mn + 5)3 =
36. (4a – 6b – 7c) - (-a + 5b + 3c) = 86. (7m – 5n)3 =
37. (5a + 9b – 10c) - (-6a + 7c) =
38. (11m –7n + 13) - (3m –8n -21) = 87. Factoriza:
39. (14) (6) = 88. 9x2 – y2 =
40. (-14) (-16) = 89. x2 – 16 =
41. (-14) (6) = 90. 1 – 25y2 =

1
91. 4x2 – 25y2 = 135. 6x2y3b =
92. 36 – x2 y2 = -2xy5a
93. x2 + 4x + 4 =
94. 16x2 - 24x + 9 = 136. 4 + 2 (3) =
95. 9x2 + 12xy + 4y2 = 137. 2(3 + 4) =
96. x2 + 6x + 8 = 138. 5(3 – 6) =
97. x2 - x -12 = 3+1
98. x2 - 4xy – 21y2 = 139. 5(3 – 2(6 + 1)) =
99. x2 - 6x + 9 = 3
100. 16x2 + 8xy + y2 = 140. 4 + 8(3 – 4) =
101. x2 + 7x + 6 = 6 – 2(2)
102. x2 - 9x + 18 = 141. -8 =
103. x2 + 2x - 15 = 4
104. x2 – 5xy – 36y2 = 142. -3 + 1 =
105. 3x2 + 4x - 4 = 4 5
143. 7 – (-3) =
106. Encuentra el valor de x: 8 4
107. 8x – 15 = 3x 144. -3 + 7 =
108. 5x – 4 = 3x - 6 5 10
109. x – 5 = 5x + 11
110. x – 4x = 5 + 2x 145. (-3/5) (10/7) =
111. 3 + 7 = 5x – 3x 146. (-16/5) – (10/3) =
112. 2x - 9 = 6x + 5x 147. (1/3) – (½) =
113. 3(4-5x) – 2(x + 4) = 4 148. (-6/7) – (5/12) =
114. 2(x - 7) = -3(2x + 1) -3 149. (-5/24) + (10/3) =
115. -9 = 7(x - 1) – 3(2x + 1) 150. (½) + (3/2) + (5/2) =
116. 3(7 -x) – 5(3 + 2x) -6 = 0 151. (8x + 7y -11) + (-5x +
117. 9 = 5x -2 + 3(2x + 1) 12y -2) =
118. 4x + 13 = 3(5x + 20) + 8 152. (3x – 8y + 9) + (-x + 3y –
119. 9(x + 2) = -6(4 – x) + 18 8) + (2x – 2y – 7) =
120. 2x + 8 = 0 153. (3x2 – 2x +4) + (2x2 + x –
121. 3(x – 2) = 20 3) =
122. 3( 2x +1) = 2x – 9 154. (3x2 +2x + 1) + (-2x2 –
123. 10x – 30 = 9(x – 2) + 3 7x + 5) =
124. 3x + 2 = 17 155. (x2 + 2x + 3) – (4x2 – 2x
125. 7x – 2 = 33 – 1) =
126. x+6=8 156. (7x3 + 4x2 +x +3) + (-8x3
127. 3(x – 4) = -36 – x + 3) =
128. 2(2x + 1) = 15 + 3x 157. (3x2 +4x -3) + (2x2 – 3x –
2
1) + (x + x + 7) =
129. Resuelve: 158. (2x2 + 6x +5) - (-2x2 – 7x
130. 10x4 y6 a b2 c d = + 2) –(4x2 + 10x + 5) =
2x2 y a6 b3 d 159. (3x3 -2x + 3) + (4x3 + 3x2
131. X0 – 2) + (-4x3 – 3x2 + x + 12) =
132. (3x3y2)3 = 160. (x4 – 3x2 + 4) + (-2x4 – x3
(a2b)3 + 3x ) + (3x2 + 2x + 1) =
2

133. (3x2y3)2 =
134. (3x2)-3 =
(4y3)-3

2
47. -6m3n3
48. -6a2 + 16ab + 120b2
49. -3m2 + 82m – 299
Respuestas:
50. 21x2 – 42xy + 42xz – 63y2 +
42yz
1. 20 51. 6x2 + 9xy – 15y2
2. -30 52. 3x2 – 15x - 72
3. -8 53. 14x2 + 132x + 160
4. -9 54. 2a2 + 7ab – 15b2
5. -26 55. -4a2 + 26ab – 30b2
6. 0 56. -30a2 + 95ac – 70c2
7. -8a 57. 33m2 – 192m - 273
8. 5ac 58. x - 4
9. 6mn 59. x - 9
10. -6a + ab + 8b 60. 3x - 8
11. 2m + 3n + 10 61. 3x + 4
12. 10x – 2y + 6z 62. 3x - 2
13. 5x + 2y – z 63. x + 3
14. 4x – 2y + 1 64. x + 8
15. 9x + 2y + 26 65. x - 1
16. 3a + 2b – 4c 66. 6x + 2
17. 3a – b – 4c 67. x2 + 2x + 1
18. –a + 9b - 3c 68. x2 – 4x + 4
19. 14m – 15n - 8 69. x2 + 10x + 25
20. 8 70. 4x2 – 4x + 1
21. 2 71. x2 + 6xy + 9y2
22. -20 72. x2 -8xy + 16y2
23. 45 73. 4x2 + 12xy + 9y2
24. 12 74. x2 + 4xy + 4y2
25. 10a 75. m2n2 + 10 mn + 25
26. 36a 76. 49m2 – 70mn +25n2
27. – ac 77. x3 + 3x2 + 3x +1
28. - 4mn 78. x3 – 6x2 + 12x - 8
29. 12a – 15ab + 12b 79. x3 + 15x2 + 75x + 125
30. 4m – 23n – 36 80. 8x3 – 12x2 + 6x - 1
31. 4x + 16y - 6z 81. x3 + 9x2y + 27xy2 + 27y3
32. x – 8y - z 82. x3 – 12x2y + 48xy2 – 64y3
33. -2x + 6y - 17 83. 8x3 + 36x2y + 54xy2 + 27y3
34. -5x + 18y + 6 84. –x3 – 6x2y – 12xy2 – 8y3
35. a – 8b + 2c 85. m3n3 + 15m2n2 + 75mn + 125
36. 5a – 11b – 10c 86. 343m3 – 735m2n + 525mn2 –
37. 11a + 9b – 17c 125m3
38. 8m + n + 34 87. NO TIENE
39. 84 88. (3x + y)(3x – y)
40. 224 89. (x + 4) (x – 4)
41. -84 90. (1 + 5y) (1 – 5y)
42. 3060 91. (2x + 5y) (2x – 5y)
43. -630 92. (6 + xy) (6 – xy)
44. -330a3 93. (x + 2) (x + 2)
45. -3360a3 94. (4x – 3) (4x – 3)
46. -108a3c3
3
95. (3x + 2y) (3x + 2y) 145. -6/7
96. (x + 4) (x + 2) 146. -98/15
97. (x -4) (x + 3) 147. -1/6
98. (x – 7) (x + 3) 148. - 107/84
99. (x – 3 ) (x – 3) 149. 25/8
100. (4x +y) (4x + y) 150. 9/2
101. (x + 6) (x + 1) 151. 3x +19y - 13
102. (x – 6) (x – 3) 152. 4x – 7y - 6
103. (x + 5) (x – 3) 153. 5x2 – x + 1
104. (x - 9) (x + 4) 154. x2 – 5x + 6
105. (3x + 2) (x – 2) 155. -3x2 + 4x + 4
106. NO TIENE 156. –x3 + 4x2 + 6
107. x = 3 157. 6x2 + 2x + 3
108. x = -1 158. 3x - 2
109. x = -4 159. 3x3 - x + 13
110. x = -1 160. – x4 – x3 + 3x2 + 2x + 5
111. x = 5
112. x = -1
113. x = 0
114. x = 1
115. x = 1
116. x = 0
117. x = 8/11
118. x = -5
119. x = -8
120. x = -4
121. x = 26/3
122. x = -3
123. x = 15
124. x = 5
125. x = 5
126. x = 2
127. x = -8
128. x = 13
129. NO TIENE
130. 5x2y5c / a5b
131. 1
132. 27x9y6 / a6b3
133. 9x4y6
134. 64y9 / 27x6
135. -3xb / y2a
136. 10
137. 14
138. -15/4
139. -15
140. -2
141. -2
142. -11/20
143. 13/8
144. 1/10

You might also like