AP 7th Maths Mock Test 2021 for Chapter – 3 “Simple Equations” Online Practice Test

1. Find the value of x if  \frac{x}{2} - 1 =  \frac{x}{3} + 4
2. Solve 6x + 18 = 8x + 12
3. Solve 5(x - 3) = 30
4. What is the value of 'x' in  \frac{3x - 1}{5} -  \frac{ x + 1}{2} = 3 -  \frac{x - 1}{2} ?
5. If 0.2 (2x -1) - 0.5 (3x - 1) = 0.4 what is the value of 'x' ?
6. What is the value of p in the given equation 8(2p -5) - 6(3p - 7) = 1 ?
7. Find the variable value y in equation 0.6y + 0.8 = 0.56y +2.32
8. If  \frac{-9}{z} =  \frac{-11}{5} , then -(z) = ______
9. 3(x - 3) = 5(2x + 1) , then x = _____
10. The solution to the equation 8 -5 (x - 4) = 2x -6 is
11. For what value of 'x' makes the equation true ?
 \frac{x}{9} + 6 = 8
12. If x + 4 = 9, then the value of x = _______
13. If 2x + 5 = k, then x = ______
14. The value of 'x' which satisfies equation is 5x - 7 = 8
15. If 3x = 20, then x = _____
16. Arrange the steps you will use to separate the variable and then solve the equation 10x + 14 = 34
  1.  10x = 20
  2.   x = 2
  3.   10x = 34 - 14
17. What are the two steps involved in solving the equation 15x + 4 = 26 ?
18. Which of the following equation can be constructed with x = 2 ?
19. On transposing terms from one side of the equation to the other which of these changes takes place ?
20. Arrange the following in an order :
  1.  Write the algebraic equation
  2. Read the problem
  3. Denote the unknown quantity
  4. Solve the equation
21. a \neq b but ac = bc , then guess c =
22. 0.5 m = 0.65, then m =
23. x - 50% of x = 12, then x =
24. 25% of x + 75% of x = 2012, then x =
25. Which of the following equations can be constructed with x = 5 ?
26. A number when multiplied by 5 gives by 80. What is that number ?
27. Twice a number when increased by 4 gives 48. What is that number ?
28. On adding 6 to the thrice of a number gives 30 . What is the  \frac{1}{4} of that number ?
29. 3 is subtracted from  \frac{3}{2} of a number results in 12. What is that number ?
30. The sum of three times a number and 11 is 32, find the number ?
31. Write the statement for the sum of 3 times of x and 11 is 32 in the form of equation ?
32. Write the statement. If you subtract 5 from 6 times a number we get 7 in the form of equation ?
33. The number which when multiplied by 7 and then reduced by 3 is equal to 53 is
34. Write the equation for the situation ?

The total number of boys and girls in a class is 52. If the number of girls is 10 more than boys.
35. Write equation for adding 7 to twice a number to get 49.
36. The equation 2x = 6 can further be expressed as _____
37. Write the information given in the adjacent figure in the form of an equation
38. The sum of three consecutive integers is 75, which is the largest among them ?
39. The lengths of the sides of a triangle are (a + 1), (2a - 1), (3a +2) and for what value of a perimeter is 26 ?
40. The sum of the ages of three persons is 40 years. What will be the sum of their ages after 3 years ?
41. The teacher tells in the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. If the highest score is 87, what is the lowest score ?
42. If k - 7 = 16, then the value of 8k + 72 = ____
43. Two supplementary angles differ by 20^{0} what is the measure of smaller angle ?
44. The length of a rectangle is two times of its breadth. Its perimeter is 60 m. What is the length ?
45. Two complementary angles are differ by 20^{0}. What is the measure of larger angle ?
46. Sum of two numbers is 21. One of the number is twice the other, then those numbers are _____
47. If k + 7 = 16 then the value of 8k -72 is _____
48. Express the diagram in the form of an equation
49. The equation is y + 6 = 12. What are the values of P, Q, R ?
50. What is the relation between the length and breadth of a rectangle ?
51. Write the equation for the adjacent figure ?
52. What is the missed symbol in this equation for x = 4, x + 5 ____ 10 ?
53. AB = 25 cm, BC = 10 cm. To find AC what is the equation here ?
54. An open sentence containing the sign of equality is called an
55. Find the property in this example ?
10 + 5 = 15, 15 = 3  \times 5;
 \Rightarrow 10 + 5 = 3  \times 5.
56. Find the property in this example ?
(6 + 3) = (8 + 1)  and hence (8 + 1) = (6 + 3)
57. Find the property in this example ?
(5 + 3) = (7 + 1)  and hence (7 + 1) = (5 + 3)
58. Find the correct property in the statement ?
If a, b are two numbers and a = b, then b = a.
59. Find the correct property in the statement ?
Every number is equal to itself and a = a.
60. Find the correct property in the statement ?
If a = b and b = c then a = c for any three numbers a, b, c.
61. If a = b, then a - c = b - c where a, b, c are any three numbers. What is the property involved ?
62. If a = b, then ab = bc where a, b, c are any three numbers. What is the property involved ?
63. If a = b, then  \frac{a}{c} =  \frac{b}{c} where a, b, c are any three numbers and c  \neq 0. What is the property involved ?
64. If a = b, then a + c = b + c where a, b, c are any three numbers. What is the property involved ?
65. In transforming terms from L.H.S to R.H.S
'+ quantity' becomes
66. In transforming terms from L.H.S to R.H.S
'- quantity' becomes
67. In transforming terms from L.H.S to R.H.S
' \div quantity' becomes
68. In transforming terms from L.H.S to R.H.S
' \times quantity' becomes
69. The process of changing sign of terms when transforming from one side to another side is called as
70. Find the value of 'x' in x + 5 = 9 ?
71. Find the value of 'y' in y - 12 = -5 ?
72. Find the value of 'y' in 3y + 4 = 19 ?
73. Find the value of 'z' in 9z = 81 ?
74. Find the value of 'x' in 3x + 8 = 5x + 2 ?
75. Find the value of 'y' in 5y + 10 = 4y - 10 ?
76. Solve the equation and find 'a' in 2a - 3 = 5 ?
77. Solve the equation and find 'q' in 10 - q = 6 ?
78. Solve the equation and find 't' in 2t - 5 = 3 ?
79. Solve the equation and find 'x' in 27 - x = 14 ?
80. Solve the equation and find 'x' in 5(x + 4) = 35 ?
81. Solve the equation and find 'x' in -3x = 15 ?
82. Solve the equation and find 'x' in 5x - 3 = 3x - 5 ?
83. Solve the equation and find 'y' in 3y + 4 = 5y - 4 ?
84. Solve the equation and find 'x' in 3(x - 3) = 5(2x + 1) ?
85. Convert the following information into equation
86. Find 'x' value in this ?
87. Convert the following information into equation
88. Find the value of 'y' in this ?
89. If we add 7 to twice a number, we get 49. Find the number ?
90. If we subtract 22 from three times a number, we get 68. Find the number ?
91. Find a number which when multiplied by 7 and then reduced by 3 is equal to 53.
92. Sum of two numbers is 95. If one exceeds the other by 3, find the numbers.
93. Sum of three consecutive integers is 24. Find the integers.
94. Find the length and breadth of the rectangle given below if its perimeter is 72 m.
95. Length of a rectangle exceeds its breadth by 4 m. If the perimeter of the rectangle is 84 m, find its length and breadth ?
96. After 15 years, Hema's age will become 4 times that of her present age. Find her present age ?
97. A sum of ₹3,000 is to be given in the form of 63 prizes. If the prize money is either ₹100 or ₹25. Find the number of prizes of each type .
98. A number is divided into two parts such that one part is 10 more than the other. If the two parts are in the ratio 5 : 3, find the number ?
99. Suhana said, "multiplying my number by 5 and adding 8 to it gives the same answer as subtracting my number from 20". Find that number ?
100. The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest mark is 87. What is the lowest mark ?

 

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