Solved Basic Algebra MCQs with answers and explanations. Free practice questions for PPSC, FPSC, CSS and other government job exams on FreeSekho.
1. Solve for x: 7x - 2 = 4x + 13
2. If x = 2 and y = 3, evaluate 2x + 3y.
3. Simplify: (x/y)^3
4. Simplify: (x^3)^2
5. Simplify: 3x + 4y - x + 2y
6. Simplify: 4x + 2(x - 5)
7. Expand: (a + b + c)^2 - (a^2 + b^2 + c^2)
8. Simplify: 2x + 3x^2 - x + x^2
9. Expand: (x + 1)^3
10. Solve: 3x^2 - 12 = 0
11. Add: (3x^2 + 2x + 1) + (x^2 - 3x + 4)
12. Solve the inequality: 2x - 5 < 9
13. Factorize: x^2 + 5x + 6
14. If x = 5, evaluate 3x^2 - 2x - 1.
15. Factorize: 6x^2 + x - 2
16. Solve for x: 2x + 5 = 0
17. The sum of two consecutive integers is 25. Find the smaller integer.
18. Solve for x: 2x + 3 = 11
19. Solve: 3x - y = 5, x + y = 7. Find x and y.
20. Solve: x + y = 7, 3x + 2y = 17. Find x and y.
21. Simplify: 6a - 4a + 2a
22. Factorize: x^2 - 6x + 9
23. Solve for x: 5x + 2 = 3x + 10
24. Solve for x: 2x/3 = 8
25. Factorize: x^2 + 2x + 1
26. Solve: 2x - y = 1, x + 2y = 8. Find x and y.
27. Divide: (x^2 - 9) / (x - 3)
28. Factorize: x^2 - 16
29. Solve the inequality: x + 3 > 7
30. Solve for x: 4x - 3 = 2x + 9
31. Three times a number is 27. Find the number.
32. Factorize: x^2 + 7x + 12
33. Simplify using identity: 102^2 - 98^2 (Hint: use a^2 - b^2)
34. The sum of a number and 8 is 20. Find the number.
35. Factorize: xy + xz + wy + wz
36. Solve: x^2 - 8x + 16 = 0
37. Expand: (x - 4)^2
38. Factorize: x^3 - x
39. Divide: (6x^3 + 9x^2) / (3x^2)
40. Divide: (x^2 + 5x + 6) / (x + 2)
41. Solve: x^2 - 5x + 6 = 0
42. If x = 3, evaluate x^2 + 2x + 1.
43. Factor form: a^3 + b^3 equals (a+b) times what?
44. Simplify: x^-2
45. Simplify: (2x^2)^3
46. The length of a rectangle is twice its width. If the perimeter is 30, find the width.
47. Solve: x + 2y = 8, x - y = 2. Find x and y.
48. Simplify: (xy)^2
49. Simplify: 4x + 3x - 2x
50. Solve: x^2 - 9 = 0
51. Factorize by taking out common factor: 3x^2 + 6x
52. Simplify: x^3 * x^4
53. Twice a number increased by 3 equals 17. Find the number.
54. Expand: (x + y)(x - y)
55. If a = 4 and b = 5, evaluate a^2 - b^2.
56. Factorize: 4x^2 - 9
57. Simplify: a^5 * a^-2
58. Simplify: x^8 / x^3
59. Solve for x: 3x - 5 = 10
60. Multiply: 2x(3x^2 - 4x + 5)
61. Solve for x: 9 = 3x - 6
62. Factorize: x^2 - 4x
63. Solve: 2x + 3y = 13, x + y = 5. Find x and y.
64. Simplify: 5(2x + 1) - 3x
65. Solve the inequality: -2x + 4 > 0
66. The sum of two consecutive even integers is 34. Find the smaller integer.
67. Multiply: (2x + 1)(x - 4)
68. Expand: (3x - 2y)^2
69. Solve for x: 5 - 2x = 1
70. Solve: x^2 - 7x + 12 = 0
71. Simplify: 7y - 2y
72. Evaluate: 5^0 + 3^0
73. Simplify: (a^-1)^-3
74. Solve: x^2 + 5x + 6 = 0
75. Factorize: x^2 + 10x + 25
76. Solve for x: x/4 + 3 = 7
77. Simplify: (a^2b^3)^2
78. If a + b = 5 and a - b = 1, find a^2 - b^2.
79. If x - y = 3 and xy = 4, find x^2 + y^2.
80. If 5 is added to twice a number, the result is 19. Find the number.
81. Solve: x + y = 10, 2x + y = 15. Find x and y.
82. Solve: 2x + y = 7, x - y = 2. Find x and y.
83. Solve: x - 2y = 1, x + y = 7. Find x and y.
84. Solve: x^2 + 6x + 9 = 0
85. Solve: x^2 + 3x = 0
86. Solve for x: 6x + 4 = 2x + 20
87. Solve: x^2 - 4x = 0
88. Simplify: 3x^2 + 2x^2 - x^2
89. If x + 1/x = 3, find x^2 + 1/x^2.
90. Solve the inequality: 3x + 2 <= 14
91. Multiply: (x + 2)(x + 5)
92. Solve: x + 3y = 10, x - y = 2. Find x and y.
93. Expand: (2x + y)(2x - y)
94. Factorize: x^2 - 5x + 6
95. Solve for x: 3(x + 4) - 2(x + 1) = 15
96. Solve: x^2 - x - 6 = 0
97. Factorize: x^2 - x - 6
98. Simplify: 7xy - 3xy + 2xy
99. Simplify: 5x - 3y - 2x + 7y
100. Factorize: x^2 - 9
101. Subtract: (5x^2 + 3x - 2) - (2x^2 + x - 5)
102. Multiply: (x - 3)(x + 4)
103. Evaluate: 2^3 * 2^2
104. Expand: (a + b)^2
105. Solve for x: 8 - x = 2x - 1
106. Solve: 2x^2 + 3x - 2 = 0
107. Solve: 2x^2 - 8 = 0
108. Factorize: 2x^2 + 5x + 3
109. Simplify: 2(x + 3) + 4x
110. If x = -2, evaluate x^2 - 3x + 4.
111. Simplify: x^0
112. Solve: x - y = 4, x + y = 12. Find x and y.
113. Expand: (x - 1)^3
114. Expand: (2x + 3)^2
115. The cost of 3 pens is Rs. 45. Find the cost of one pen.
116. Factor form: a^3 - b^3 equals (a-b) times what?
117. Solve for x: 3x + 7 = 7x - 9
118. Simplify using identity: 105 * 95 (Hint: use (100+5)(100-5))
119. If x = 1 and y = -1, evaluate x^2 + y^2 - 2xy.
120. Factorize: 3x^2 - 5x - 2
121. Expand: (x + 5)(x - 5)
122. Solve: x^2 - 10x + 25 = 0
123. Expand: (x - y)^2
124. Solve for x: (x + 2)/3 = 5
125. Factorize: x^2 + xy - 6y^2
126. Solve for x: 2(x + 3) = 3(x - 1)
127. A father is 3 times as old as his son. The sum of their ages is 48. Find the son's age.
128. Solve for x: 3(2x + 1) = 21
129. A number decreased by 5 equals 12. Find the number.
130. Simplify: -3x + 8x - 2x
131. Expand: (x + y)^2
132. Solve: 4x + y = 14, x + y = 5. Find x and y.
133. Simplify: 3(x - 2) - x
134. Solve: 2x + y = 11, 3x - y = 9. Find x and y.
135. Simplify: x^6 / x^-2
136. Solve for x: 4(x - 1) = 12
137. Solve for x: 5(x - 2) = 3x + 4
138. Simplify: 9x - (3x + 4)
139. Solve: x^2 + 2x - 15 = 0
140. Solve the inequality: 5 - x >= 2
141. Factorize: 9x^2 - 12x + 4
142. Solve: 3x + y = 10, x + y = 4. Find x and y.
143. Factorize: x^2 - 2xy + y^2
144. Solve: x + y = 9, x - y = 3. Find x and y.
145. If x + y = 7 and xy = 10, find x^2 + y^2.
146. Simplify: 3x + 5x
147. Solve for x: x/2 - x/3 = 2
148. Evaluate: 4^-1
149. Solve: x^2 - 3x - 10 = 0
150. Solve: x + y = 5, x - y = 1. Find x and y.
