AP 8th Maths Mock Test 2021 For Chapter – 2 : “Linear Equations in One Variable “Online Practice Test

1. The solution of linear equation 4x + 6 = 4 is
2. If \frac{y}{1.5} = 1.6 then the solution of the equation is .............
3. The value of x in - \frac{2}{3} = 2x is ..........
4. The root of the equation 5x - 8 = 7 is ...................
5. For what value of n is 5n - 4 is equal to n - 1 ?
6. If 3a + 2b + c = 22 , b + c = 8 and c = 6 , what is the value of 'a' ?
7. If the total of four consecutive numbers is 26 then the highest number is
8. If x% of 50 is 10 , then the value of 'x' is
9. 10 years ago , if my age is was 'x' . Then my age after 5 years will be
10. If 9 is added to a number , it becomes 25 . This can be expressed as
11. If 6 is added to 3 times of a number , it becomes 15 . This statement in the form of an equation is .............
12. The difference of two numbers is 25 . The larger number is x . Then the smaller number is
13. Match the following situations in list - I with the appropriate equation in list - II

p. Twice a number is added by 3 to get 15                             ( ) i. 2x = 3x - 60
q. The three consecutive odd numbers whose sum is 15    ( ) ii. 3(x + 1) = 15
r.\frac{2}{3} of a number is 20 less than the original number             ( ) iii. 2y + 3 = 15
14. \frac{x}{0.5} = \frac{2}{5} then the value of x =
15. 3(t - 3) = 5(2t - 1) then t =
16. 3p + 7 = 0 \Rightarrow p =
17. Two numbers are in the ratio 5 : 3 . If they differ by 18 , the smaller number is
18. If 3\frac{1}{x}\times 3\frac{3}{4} = 12\frac{1}{2} , then the value of 'x' is
19. If \frac{n}{2} - \frac{3n}{4} + \frac{5n}{6} = 21 then n =
20. If the difference of two complementary angle is 120 then the larger angle is ...............
21. The sum of two consecutive odd numbers is 56 then one of them is
22. Ramesh raised a number 3 times and added 2 to get a result which is same as the number is subtracted from 50 . Then the number is
23. Solution of the equation \frac{x + 7}{3x + 16} = \frac{4}{7} is ......
24. In 5 years time , Reshma will be three times old as she was 9 years ago . How old is she now ?
25. For which value of x , L.H.S and R.H.S of the following equation are equal 5x - 12 = 2x - 6
26. Which of the following is not a linear equation ?
27. Which of the following is not a simple equation ?
28. If x is an even number , then what is the next odd number ?
29. Statement a : 900 - x and x0 are complementary angles
Statement b : x0 , y0 and 1800 - (x + y) are interior angles of a triangle
Which of the above are true ?
30. If x is an even number then its consecutive even number is ........
31. Assertion A : 300 - x and 600 + x are complementary angles
Reason R : The sum of two complementary angles is 1800Which of the following is correct ?
32. Which of the following pairs is not supplementary angles ?
33. If 'p' is a solution of \frac{x}{3} + 1 = \frac{7}{15} then the value of 5p = ...............
34. What is the standard form of a linear equation in one variable?
35. Which of the following are true statements about a linear equation ?
a. It has an equality sign
b. The values of LHS and RHS are not necessarily equal
c. The values of LHS and RHS are equal
d. A linear equation may have many number of solutions
36. Which of the following is linear equation ?
37. Seven times a number is 42 , this statement in the form of a linear equation is
38. 10 added to twice a number is 16 . This can be expressed as ..........
  1. 10p + 2 = 16
  2. 2p + 10 = 16
  3. 10 + 2x = 16
  4. 10x + 16 = 2
39. The degree of a linear equation  is ..........
40. Hyma solved a linear equation as follows

step - i : 3x + 39 = 8
step - ii : 3x = 8 - 39 = - 31
step - iii : x = \frac{- 31}{- 3} = \frac{31}{3}
Which of the steps is wrong ?
41. step - i : 3x = 28 - 4x
step - ii : 3x = 4(7 - x)
step - iii : 7x = 28
step - iv : \frac{3}{4}x = 7 - x
step - v : x = \frac{28}{7} = 4
Arrange the steps in order to solve the equation \frac{3}{4}x = 7 - x
42. How much pure milk should be added to 400 ml of 15% milk to make it 32% milk ?
43. A motor boat goes down stream in a river and covers the distance between two coastal towns A , B in 5 hours . It covers this distance upstream in 6 hours . If the speed of the stream is 2km/hr and the speed of the boat in still water is 22 km/hr.
From the above data the speed of the boat in downstream is ............
44. The values of 'A' and 'B' are ................
45. A motor boat goes down stream in a river and covers the distance between two coastal towns A , B in 5 hours . It covers this distance upstream in 6 hours . If the speed of the stream is 2km/hr and the speed of the boat in still water is 22 km/hr.
From the above data the speed of the boat in upstream is ..........
46. The graph of the equation x + y = 5 is a .........
47. A motor boat goes down stream in a river and covers the distance between two coastal towns A , B in 5 hours . It covers this distance upstream in 6 hours . If the speed of the stream is 2km/hr and the speed of the boat in still water is 22 km/hr.
From the above data The time taken for the boat to travel from town 'B' to town 'A' is ........
48. From the figure [late]\angle[/latex]x = ........
49. In the right angle \angleC =
50. In the figure l parallel to m and P is transversal . Then the value of x is ..............
51. Find the value of x so that l parallel to m
52. An equation of the for, ax + b or ax = b where a , b are constants and a is not equal to 0 is called
53. Methods of solving linear equation are
54. Which of the following are linear equation ?
55. Which of the following are not a simple equations ?
56. 5y - 10 = 0 is a
57. The value of 'm' in equation 6m = 18 is
58. The value of 'x' from \frac{2x}{3} = 18 is
59. The value of y from 200y - 51 = 49 is
60. The value of 'x' is
61. What are those two numbers whose sum is 60 and difference is 30 ?
62. The difference between two numbers is 10 . If 6 is added to the bigger number the result will be three times the smaller number . Find the numbers .
63. The sum of 2 consecutive odd numbers is 56 then find the numbers
64. The sum of 3 consecutive multiples of 7 is 777 then find its multiples
65. A man walks 20 km , then travels a certain distance by train and then by bus as far as twice by the train . If the whole journey is of 80 km , how far did he travel by train ?
66. The distance around a rectangular field is 800 meters . The length of the field is 30 meters more than the breadth . Calculate the length and breadth of the field
67. The length of a rectangular field is 10 metres less than twice its breadth . If the perimeter of rectangular field is 64 meters , find its length
68. The length of a rectangular field is 10 metres less than twice its breadth . If the perimeter of rectangular field is 64 meters , find its breadth
69. Two equal sides of a triangle are each 5 metres less than twice the third side . If perimeter of the triangle is 55 meters , find the length of its side ?
70. Two complementary angles differ by 320 then find the angles
71. The ages of Ravi and Ramu are in the ratio 3 : 5 . Four years later , the sum of their ages will be 72 years . what are their present ages ?
72. There are 180 multiple choice questions in a test . A candidate gets 4 marks for every correct answer , and for every un-attempted or wrongly answered questions one mark is deducted from the total score of correct answers . If a candidate scored 450 marks in the test how many questions did he answer correctly ?
73. A sum of 600 rupees is in the form of denominations of 5 rupees and 10 rupees . If the total number of notes is 100 , find the number of notes of each denominations
74. A person spent 600 rupees in buying pens and pencils , if cost of each pen is 10 rupees and each pencil is 5 rupees and if total number of things bought was 150 , how many of each type did he buy ?
75. The perimeter of a school volleyball court is 177 ft and the length is twice the width . What are the dimensions of the volleyball court ?
76. The sum of the page numbers on facing pages of a book is 373 . What are the page numbers ?
77. Solve the equation 7x - 5 = 2x
78. Solve the equation 5x - 12 = 2x - 6
79. Solve the 7p - 3 = 3p + 8
80. Solve 7z + 13 = 2z + 4
81. Solve 3(n - 4) + 2(4n - 5) = 5(n + 2) + 16
82. Find 'x' in 8(x - 3) - (6 - 2x) = 2(x + 2) - 5(5 - x)
83. Find 'z' in 3(5z - 7) + 2(9z - 11) = 4(8z - 7) - 111
84. Ten times of a number reduced by 8 is equal to the sum of Eight times the number and 2 . Find the number
85. A number consists of two digits whose sum id 9 . If 27 is subtracted from the number its digits are reversed . Find the number
86. A number is divided into two parts such that one part is 16 more than the other , if the 2 parts are in the ratio 5 : 3 then find the number
87. A number is divided into two parts such that one part is 16 more than the other , if the 2 parts are in the ratio 5 : 3 then find the two parts
88. When Imran triple a certain number and add 5 , Imran get the same answer as Imran do when Imran subtract the number from 81 . Find the number
89. Mahith is twice older than her brother . In 5 years time , he will be 2 years older than his brother . Find how old are they both now
90. In 5 years time , Sasi will be 3 times old as he was 9 years old . How old is he now ?
91. A Village's population increased by 1200 people , and then this new population decreased 11% . The village now had 32 less people than it did before the 1200 increase , find the original population
92. What number is that of which the second part exceeds the fourth part by 6 ?
93. The difference between two positive integers is 40 . The quotient when one integer divided by other is 2 . Find the integers
94. The numerator of fraction is 4 less than the denominator . If 1 is added to both its numerator and denominator , it becomes \frac{1}{2} . Find the fraction
95. Find 3 consecutive numbers such that if they are divided by 10 , 17 and 26 respectively , the sum of their quotients will be 10
96. In class of 21 pupils the number of girls is twice - fourth of number of boys. Find the number of boys in the class
97. After 20 years , hari's age will become three times of his present age . Find his present age
98. Aravind has a kiddy bank . It is full of one - rupee and fifty paise coins . It contains 3 times as many 50 paise coins as one rupee coins . The total amount of the money in bank is 35 rupees . How many coins of each kind are there in bank ?
99. A and B together can finish a piece of work in 4 days . If 'A' alone can finish the same work in 10 days , in how many days B alone can finish it ?(approximately)
100. By selling a TV for 903 rupees , a shop keeper gains 50% . Find the cost price of the TV ?

 

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