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
    •  
    • (
      2
      x
      −
      10
      y
      +
      52
      		)
      =
      0
      (
      −
      2
      x
      +
      7
      y
      −
      34
      		)
      =
      0
  • (
    6
    ,
    2
    )
  • (
    7
    ,
    5
    )
  • (
    4
    ,
    6
    )
  • (
    6
    ,
    8
    )
  • (
    2
    ,
    4
    )
Question 2
2.
    • Which of the following equations is not the same as
    • (
      9
      x
      −
      7
      		)
      =
      4
  • 4
    x
    =
    (
    −
    5
    x
    +
    11
    		)
  • (
    2
    x
    −
    15
    		)
    =
    (
    7
    x
    +
    12
    		)
  • (
    14
    x
    −
    14
    		)
    =
    (
    5
    x
    −
    3
    		)
  • (
    2
    x
    −
    15
    		)
    =
    (
    −
    7
    x
    −
    4
    		)
  • (
    16
    x
    +
    1
    		)
    =
    (
    7
    x
    +
    12
    		)
Question 3
3.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        5
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        24
        7
        )
      • ,
      • (
        0
        ,
        13
        7
        )
      • ,
      • (
        1
        ,
        2
        7
        )
      • ,
      • (
        2
        ,
        (
        −
        9
        7
        )
        )
    • ?
  • x
    =
    (
    11
    7
    y
    −
    69
    7
    		)
  • y
    =
    (
    −
    11
    7
    x
    +
    13
    7
    		)
  • x
    =
    (
    −
    2
    		)
  • (
    2
    x
    +
    4
    y
    −
    1
    		)
    =
    0
  • y
    =
    5
Question 4
4.
    • Solve the following pair of equations :
    •   −  
       
       
      1
       
       
      (
      x
      +
      y
      		)
      		  −  
       
       
      12
       
       
      (
      x
      −
      y
      		)
      =
       
       
      (
      −
      57
      		)
    •   −  
       
       
      13
       
       
      (
      x
      +
      y
      		)
      		  −  
       
       
      6
       
       
      (
      x
      −
      y
      		)
      =
       
       
      9
  • (
    1
    15
    ,
    (
    -4
    15
    		 )
    )
  • (
    (
    -1
    15
    		 )
    ,
    (
    -4
    15
    		 )
    )
  • (
    (
    -1
    15
    		 )
    ,
    (
    -2
    5
    		 )
    )
  • (
    (
    -1
    15
    		 )
    ,
    (
    -4
    13
    		 )
    )
  • (
    (
    -1
    17
    		 )
    ,
    (
    -4
    15
    		 )
    )
Question 5
5.
    • A can do a work in
    • 8
      days
    • .
    • With the help of B, A can do the same work in
    • 1
      3
      5
      days
    • .
    • In how many days can B alone do the work?
  • 2
    days
  • -1
    days
  • 1
    day
  • 3
    days
  • 5
    days
Question 6
6.
    • Find the set of points satisfying the equation
    		•
      y
      =
      (
      −
      3
      5
      x
      		)
    • (
      (
      −
      2
      )
      ,
      6
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      5
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      3
      5
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      6
      5
      )
      )
    • (
      (
      −
      2
      )
      ,
      6
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      5
      )
    • ,
    • (
      1
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      3
      5
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      6
      5
      )
      )
    • (
      (
      −
      2
      )
      ,
      6
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      5
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      −
      3
      5
      )
      )
    • ,
    • (
      4
      ,
      4
      5
      )
    • (
      (
      −
      2
      )
      ,
      6
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      5
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      −
      3
      5
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      6
      5
      )
      )
    • (
      (
      −
      2
      )
      ,
      6
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      3
      5
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      2
      5
      )
    • ,
    • (
      2
      ,
      (
      −
      6
      5
      )
      )
Question 7
7.
Find the equation of the displayed line
  • x
    =
    (
    −
    8
    		)
  • y
    =
    (
    −
    7
    		)
  • x
    =
    (
    −
    7
    		)
  • 3
    x
    =
    (
    −
    7
    		)
  • x
    =
    (
    −
    6
    		)
Question 8
8.
    • Solve :
    •  
       
      (
      2
      x
      −
      3
      		)
       
       
      6
      		  +  
       
       
      (
      −
      4
      x
      −
      4
      		)
      =
       
       
      (
      x
      +
      2
      		)
       
       
      3
  • (
    -29
    22
    		 )
  • (
    -29
    24
    		 )
  • (
    -33
    26
    		 )
  • (
    -11
    8
    		 )
  • (
    -31
    24
    		 )
Question 9
9.
    • Which of the following equations is the same as
    • (
      5
      x
      −
      1
      		)
      =
      9
  • (
    4
    x
    −
    4
    		)
    =
    (
    −
    x
    +
    6
    		)
  • (
    4
    x
    −
    4
    		)
    =
    (
    x
    +
    12
    		)
  • (
    6
    x
    +
    2
    		)
    =
    (
    −
    x
    +
    6
    		)
  • (
    7
    x
    −
    6
    		)
    =
    (
    −
    2
    x
    +
    14
    		)
  • (
    3
    x
    +
    4
    		)
    =
    (
    2
    x
    +
    4
    		)
Question 10
10.
    • Solve
    • (
      3
      x
      +
      3
      y
      −
      3
      		)
      =
      0
      (
      2
      x
      −
      2
      y
      −
      2
      		)
      =
      0
  • (
    3
    ,
    0
    )
  • (
    1
    ,
    0
    )
  • (
    1
    ,
    -3
    )
  • (
    1
    ,
    -1
    )
  • (
    2
    ,
    0
    )