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.
    • Solve :
    •  
       
      (
      x
      −
      4
      		)
       
       
      (
      9
      x
      −
      8
      		)
      =
       
       
      (
      x
      +
      4
      		)
       
       
      (
      9
      x
      −
      2
      		)
  • 2
    3
  • 20
    33
  • 20
    31
  • 6
    11
  • 4
    7
Question 2
2.
    • Solve
    • (
      −
      3
      x
      +
      2
      y
      −
      5
      		)
      =
      0
      (
      4
      x
      +
      2
      y
      −
      5
      		)
      =
      0
  • (
    1
    ,
    3
    )
  • (
    0
    ,
    5
    2
    )
  • (
    1
    ,
    5
    2
    )
  • (
    2
    ,
    3
    2
    )
  • (
    2
    ,
    3
    )
Question 3
3.
    • Find the set of points satisfying the equation
    		•
      y
      =
      7
    • (
      (
      −
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      7
      )
    • ,
    • (
      0
      ,
      7
      )
    • ,
    • (
      1
      ,
      7
      )
    • ,
    • (
      4
      ,
      9
      )
    • (
      (
      −
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      5
      )
    • ,
    • (
      1
      ,
      7
      )
    • ,
    • (
      2
      ,
      7
      )
    • (
      (
      −
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      7
      )
    • ,
    • (
      1
      ,
      6
      )
    • ,
    • (
      1
      ,
      7
      )
    • ,
    • (
      2
      ,
      7
      )
    • (
      (
      −
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      7
      )
    • ,
    • (
      0
      ,
      7
      )
    • ,
    • (
      0
      ,
      8
      )
    • ,
    • (
      2
      ,
      7
      )
    • (
      (
      −
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      7
      )
    • ,
    • (
      0
      ,
      7
      )
    • ,
    • (
      1
      ,
      7
      )
    • ,
    • (
      2
      ,
      7
      )
Question 4
4.
    • Which of the following equations is not the same as
    • (
      2
      x
      −
      2
      		)
      =
      (
      −
      2
      x
      +
      9
      		)
  • (
    2
    x
    −
    5
    		)
    =
    (
    −
    2
    x
    +
    6
    		)
  • (
    2
    x
    +
    1
    		)
    =
    (
    −
    2
    x
    +
    12
    		)
  • 2
    x
    =
    (
    −
    2
    x
    +
    11
    		)
  • (
    2
    x
    −
    4
    		)
    =
    (
    −
    2
    x
    +
    7
    		)
  • (
    2
    x
    −
    7
    		)
    =
    (
    −
    2
    x
    +
    14
    		)
Question 5
5.
    • Solve the following pair of equations :
    •   −  
       
       
      1
       
       
      √
      x
      		  −  
       
       
      7
       
       
      √
      y
      =
      -42
    •   −  
       
       
      11
       
       
      √
      x
      		  −  
       
       
      4
       
       
      √
      y
      =
      49
  • (
    1
    49
    ,
    1
    49
    )
  • (
    1
    49
    ,
    1
    47
    )
  • (
    1
    51
    ,
    1
    49
    )
  • (
    1
    49
    ,
    (
    -1
    49
    		 )
    )
  • (
    3
    49
    ,
    1
    49
    )
Question 6
6.
    • In a mixture of
    • 168
    • litres,
    • the ratio of milk and water is
    • 9 : 5
    • .
    • How much water must be added
    • to this mixture to make the ratio
    • 6 : 5
    • ?
  • 32
  • 30
  • 31
  • 28
  • 29
Question 7
7.
    • Solve the equation
    • (
      −
      3
      x
      −
      6
      		)
      =
      (
      4
      x
      +
      5
      		)
  • (
    -9
    5
    		 )
  • (
    -13
    9
    		 )
  • (
    -13
    7
    		 )
  • (
    -11
    7
    		 )
  • (
    -9
    7
    		 )
Question 8
8.
    • Which of the following equations is the same as
    • (
      7
      x
      −
      6
      		)
      =
      0
  • (
    28
    x
    −
    24
    		)
    =
    (
    −
    4
    		)
  • (
    28
    x
    −
    24
    		)
    =
    4
  • (
    28
    x
    −
    24
    		)
    =
    0
  • (
    28
    x
    −
    25
    		)
    =
    0
  • (
    28
    x
    −
    23
    		)
    =
    0
Question 9
9.
    • Solve
    •  
    • (
      −
      y
      +
      6
      		)
      =
      0
      (
      −
      4
      x
      −
      10
      y
      +
      36
      		)
      =
      0
  • (
    (
    −
    8
    )
    ,
    4
    )
  • (
    (
    −
    7
    )
    ,
    7
    )
  • (
    (
    −
    5
    )
    ,
    5
    )
  • (
    (
    −
    4
    )
    ,
    8
    )
  • (
    (
    −
    6
    )
    ,
    6
    )
Question 10
10.
Any line parallel to y-axis is
  • a vertical line
  • a horizontal line
  • an oblique line
  • a curved line