ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Linear Equations and Simultaneous Linear Equations
Question 1
1.
A train crosses a telegraph post in 27.53 sec and a bridge 1218.01 m long in 53.69 sec. What is the speed of the train?
  • 48.56 m/sec
  • 47.56 m/sec
  • 46.56 m/sec
  • 45.56 m/sec
  • 44.56 m/sec
Question 2
2.
    • Solve :
    •  
       
      4
       
       
      (
      x
      +
      6
      		)
      		  −  
       
       
      5
       
       
      (
      x
      −
      3
      		)
      =
       
       
      1
       
       
      (
      x
      −
      3
      		)
      		  −  
       
       
      2
       
       
      (
      x
      −
      4
      		)
  • 14
    3
  • 80
    17
  • 86
    19
  • 78
    17
  • 76
    17
Question 3
3.
    • Solve :
    •   −  
       
       
      7
       
       
      (
      x
      −
      2
      		)
      		  −  
       
       
      6
       
       
      (
      x
      +
      2
      		)
      =
        −  
       
       
      13
       
       
      x
  • -23
  • -26
  • -25
  • -29
  • -27
Question 4
4.
Which of the following is a linear equation in three variable?
  • (
    6
    x
    2
     
    −
    3
    x
    y
    −
    36
    x
    −
    9
    y
    2
     
    +
    39
    y
    +
    30
    		)
    =
    0
  • (
    −
    3
    x
    +
    4
    y
    +
    4
    z
    −
    1
    		)
    =
    (
    −
    2
    x
    +
    8
    y
    +
    8
    z
    −
    2
    		)
  • (
    −
    x
    −
    7
    		)
    =
    (
    3
    x
    −
    6
    		)
  • (
    −
    6
    x
    2
     
    −
    53
    x
    −
    40
    		)
    =
    (
    −
    5
    x
    +
    8
    		)
  • (
    5
    x
    +
    9
    y
    +
    3
    		)
    =
    (
    −
    9
    x
    −
    2
    y
    +
    5
    		)
Question 5
5.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
  • x
    =
    y
  • y
    =
    k
  • y
    =
    0
  • x
    =
    k
  • x
    =
    0
Question 6
6.
    • Solve
    •  
    • (
      −
      8
      x
      −
      13
      y
      −
      22
      		)
      =
      0
      (
      5
      x
      +
      8
      y
      +
      13
      		)
      =
      0
  • (
    9
    ,
    (
    −
    4
    )
    )
  • (
    5
    ,
    (
    −
    8
    )
    )
  • (
    8
    ,
    (
    −
    7
    )
    )
  • (
    7
    ,
    (
    −
    6
    )
    )
  • (
    6
    ,
    (
    −
    5
    )
    )
Question 7
7.
    • Which of the following equations is not equivalent to
    • (
      9
      x
      −
      6
      		)
      =
      (
      5
      x
      −
      3
      		)
  • 8
    x
    =
    6
  • 20
    x
    =
    15
  • (
    −
    4
    x
    		)
    =
    (
    −
    3
    		)
  • 4
    x
    =
    3
  • 4
    x
    =
    6
Question 8
8.
    • Solve
    •  
    • (
      −
      4
      x
      −
      y
      −
      7
      		)
      =
      0
      (
      −
      16
      x
      −
      4
      y
      −
      28
      		)
      =
      0
  • (
    (
    −
    3
    )
    ,
    5
    )
  • No solution
  • (
    0
    ,
    (
    −
    6
    )
    )
  • Infinite solutions
  • (
    (
    −
    2
    )
    ,
    1
    )
Question 9
9.
A train crosses a telegraph post in 26.36 sec and a bridge 920.12 m long in 49.04 sec. What is the length of the train?
  • 1071.43 m
  • 1068.43 m
  • 1067.43 m
  • 1069.43 m
  • 1070.43 m
Question 10
10.
Which of the following is a linear equation in three variable?
  • (
    10
    x
    2
     
    −
    21
    x
    +
    9
    		)
    =
    0
  • (
    4
    x
    −
    7
    y
    +
    7
    		)
    =
    0
  • (
    3
    x
    +
    8
    		)
    =
    0
  • (
    16
    x
    2
     
    +
    22
    x
    y
    +
    12
    x
    +
    6
    y
    2
     
    +
    7
    y
    +
    2
    		)
    =
    0
  • (
    x
    +
    8
    y
    −
    4
    z
    −
    3
    		)
    =
    0