AP 9th Maths Mock Test 2021 For Chapter 6 – “Linear Equations in Two Variables” Online Practice Test

1. If (2 , 0) is a solution of the linear equations 2x + 4y = k , then the value of k is
2. The value of 'k' if x = 2 , y = 1 is a solution of the equation 2x + 3y = k
3. The value of 'k' for which (6 , k) is a solution of 3x + y = 22 is
4. If the points A ( 3 , 5) and B(1 , 4) lie on the graph of line ax + by - 7 = 0 then (a , b) will be
5. If a2x + ay = 3 is satisfied by x = 1 , y = 2 then the value of 'a' will be
6. Match the following
  1. 3x + 4y = 17 and 2x - 5y = 3 then the value of x is          ( ) P. \frac{2}{5}
  2. x - 4y = 15 and 2x + y = 7 then the value of y is               ( ) Q. 11
  3. 10x + 3y = 75 and 6x - 5y = 11 then x + y is                      ( ) R. \frac{-1}{3}
  4. 3x + 2y = 5 , x - y = 1 then the value of y is                       ( ) S.\frac{97}{23}
7. Statement I : (\sqrt{2} , -3\sqrt{2}) is a solution of x + 2y = 4
Statement II : (1 , 1) is a solution of x + 2y = 4
Statement III : (0 , 2) is a solution of x + 2y = 4
8. x = 3 , and y = -1 are a solution of which of the linear equations given ?
9. In a class \frac{3}{5} of the students are girls and rest are boys , If \frac{2}{9} of the girls and \frac{1}{4} of the boys are absent what part of the total number of students are present ?
10. The linear equation that converts Fahrenheit (F) to Celsius(C) is given by relation C = \frac{5F - 160}{9} , what is the numerical value of temperature which is same in both the scale ?
11. If ordinate is '0' in (x , y) then what do you say ?
12. The point of the form (b , -b) always lies on the line
13. The point of the form (a , a) always lie on
14. The equation 2x + 5y = 7 has a unique solution , if x , y are
15. Assertion A : A linear equation in two variables need 2 values to satisfy
Reason R : Any pair of values of x , y which satisfy the linear equation in two variables is called its solution
16. Assertion A : The graph of x = k is a line parallel to X-axis at the distance of k-units
Reason R : This line is passing through the point(k , 0)
17. Assertion A : The equation 4x + 3y = 8 , 6x + \frac{9}{2}y = 12 has infinitely many solutions
Reason R : 4x + 3y = 8 and 6x + \frac{9}{2}y = 12 then x - y = \frac{13}{4}
18. Assertion A : The equation of the form ax + by + c = 0 [a \neq 0 , b \neq 0] represents a straight line
Reason R : Any linear equation is in the form of straight line
19. If a and b are real numbers when does the equation 3x - 5 + a = bx + 1 has unique solution x ?
20. y - coordinate of every point on X - axis is
21. The equation of Y-axis is
22. Equation of line perpendicular to Y-axis is
23. The number of solutions of the linear equation x + 2y - 8 = 0
24. Tushar's age is the same as Karthik's . Satwik's age is also same as karthik . State Euclid's axiom that illustrate the relative ages of tushar and satwik
25. The autorikshaw fare in a city is charged RS.8 for the first kilometer and Rs.4 per kilometer for subsequent distance covered . If distance 'x' km and charged 'y Rs/-' then this information express as a linear equation in two variables
26. A man's age is 3 times the sum of the ages of his 2 sons . After 5 years his age will be twice the sum of the ages of his 2 sons , The age of man will be
27. The equation 3x + 2y = 8 has
28. Match the following
  1. Equation of X-axis                            ( ) P. y = 0
  2. equation of Y-axis                             ( ) Q. x + 3 = 0
  3. Ordinate of every point on Y-axis    ( ) R. x = 0
  4. Straight line parallel to X-axis           ( ) S. 0
29. Twenty years ago the age of a father was four times the age of his son . After four years from now the age of the father will be double that of the son then the present age of father is
30. Twenty years ago the age of a mother was four times the age of her daughter . After four years from now the age of the mother will be double that of the daughter then the present age of daughter is
31. Twenty years ago the age of arun was four times the age of hari . After four years from now the age of the arun will be double that of the hari then the difference between their ages is
32. Twenty years ago the age of aruna was four times the age of harita . After four years from now the age of the aruna will be double that of the harita then the sum of their ages is
33. Statement I : If a \neq 0 , b \neq 0 then ax + by + c = 0 intersects Y-axis at (0 , \frac{-c}{b} 0)
Statement II : The line x + 1 = 0 is a line parallel to Y-axis
Statement III : The ordinate of X-axis is any integer
34. Statement A : A linear equation 2x + 3y = 5 has a unique solution
Statement B : The line parallel to the Y-axis is at a distance 4 units to the left of Y-axis given by the equation x = -4
Statement C : The graph of the equation y = mx + c passes through the origin
35. Which of the following is not correct ?
36. The ratio of molecular weight of hydrogen and oxygen in water is 1 : 8 9 the relation between hydrogen and oxygen in linear equation in two variables) . If the quantities of hydrogen and oxygen are 'x' and 'y'
37. Which of the following linear equation represents the co-ordinate points given in the table ?
38. Which of the following points lying on X-axis ?
39. Which of the following points lying on Y-axis ?
40. Which of the following point is not lying on co-ordinate axis ?
41. Equation of line parallel to Y-axis and passing through R(2 , -5) is
42. Equation of line parallel to X-axis and passing through W(-4 , -3) is
43. The graph of the linear equation 2x + 3y = 12 at what points cuts the X-axis and Y-axis ?
44. Which of the following represents a line parallel to X-axis ?
45. The area bounded by the graph of the equation 4x + 3y = 12 with the co-ordinate axis is
46. The distance between the graph of the equations x = 3 and x= -3 is
47. Statement I : y = 4 - 2x line cuts the X-axis on (2 , 0)
Statement II : y = 4 - 2x line cuts the Y - axis on (0 , 4)
Statement III : 2x - 3 = 5 line passes through the origin
48. what is the scale factor used on x-axis ?
49. The quantity of acid and water taken are shown along x , y axes respectively , If the quantity of acid is 4 then the quantity of water in units is
50. In the given graph , if the quantity of water is 5 then the quantity of acid is
51. Representation of graph as a linear equation in two-variables
52. In a school , students prepared cleaning acid by taking acid and water as shown in graph , the quantity of acid and water taken are shown along x , y axes respectively then what is the percentage of water in the diluted acid ?
53. Which of the following graph represents the linear equation x + y = 0 ?
54. The graph of y = 6 is a line
55. The graph of every linear equation in two variables is a
56. An equation of the type y = mx represents a line passing through the
57. In the equation 3x - 2y + 8 = 0 , the value of c is
58. Using the values a = 9 , b = -6 , c = 3 form a equation in the form of ax + by + c = 0
59. In the equation 2x = y , the value of c is
60. The sum of two numbers is 34 write a linear equation in two variables to represent the statement
61. The cost of ball pen is 5 rupees less than half the cost of a fountain pen . write this statement as a linear equation in two variables
62. Bharathi got 10 more marks than double of the marks of Divya . Write this statement as a linear equation in two variables
63. The cost of a pencil is 2 rupees and one ball point pen costs 15 rupees . Sheela pays 100 rupees for the pencils and pens she purchased then write a linear equation in two variables for it.
64. Yamini and Fatima of class IX together contributed 200 rupees towards the Prime Minister's Relief Fund , write linear equation for the given information .
65. The solutions for equation 3x + 4y = 7 is
66. Which of the following is not a solution for y = 6x ?
67. The equation 2x - y = 7 has the following solutions ?
68. From the equation 10x + 11y = 21 , find the odd one
69. The solutions for x + y = 0 are
70. If (0 , a) and (b , 0) are solutions of the equation 8x - y = 34 then the values of a and b are
71. If (0 , a) and (b , 0) are solutions of the equation 5x - 2y + 3 = 0 then the values of a and b are
72.  If (0 , a) and (b , 0) are solutions of the equation 3x = 7y - 21 then the values of a and b are
73. Find the value of k , if x = 2 , y = 1 is a solution of the equation 2x + 3y = k
74. If x = 2 - a and y = 2 + a is solution of the equation 3x - 2y + 6 = 0 then find value of 'a'
75. If x = 1 , y = 1 is solution of equation 3x + ay = 6 , find value of 'a'
76. (0 , 8) , (8 , 0) and (1 , 7) are solutions for
77. Find the 'x' value from 3x + 2 = 8x - 8
78. Write the equation of the line parallel to X-axis and passing through the point (0 , 4)
79. Write the equation of the line parallel to X-axis and passing through the point (3 , 4)
80. Write the equation of the line parallel to X-axis and passing through the point (2 , -5)
81. Write the equation of the line parallel to Y-axis and passing through the point (3 , 5)
82. Write the equation of the line parallel to Y-axis and passing through the point (-4 , -3)
83. Write the equation of the line parallel to Y-axis and passing through the point (-4 , 0)
84. Which of the following are the lines parallel to X-axis ?
85. Which of the following are the not a lines parallel to X-axis ?
86. Which of the following are the not a lines parallel to Y-axis ?
87. Which of the following are the lines parallel to Y-axis ?
88. The value of 'x' for 2x - 11 = 0 is
89. If (5 , 0) is a solution of the linear equation 2x + 4y = m , then the value of m is
90. If (2 , 3) is a solution of the linear equation 2x + 4y = l , then the value of 'l' is
91. The value of 'a' if x = 0 , y = 8 is a solution of the equation 3x - 2y = a
92. The value of 'a' if x = 8 , y = 1 is a solution of the equation 3x - 2y = a
93. The force applied on a body of mass 6 kg is directly proportional to the acceleration produced in the body then write an equation to express this observation
94. Gopi sowed wheat and paddy in two fields of total area 5000 square meters then write linear equation
95. Rajiya and preethi two students of class IX together collected 1000 for PM relief fund for victims of natural calamities then write linear equation
96. From the equation 6x - 3y = 12 , the value of 'y' is
97. From the equation -x + 4y = 8 , the value of 'y' is
98. From the equation 3x + 2y = -6 , the value of 'y' is
99. If x = 1 , y = 1 is a solution of equation 3x + ay = 4 find value of 'a'
100. Which of the following is not a solution for the equation 2x - 5y = 10 ?

 

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