ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Simultaneous Linear Equations
Question 1
1.
    • Solve the following pair of equations :
    • (
      x
      +
      6
      y
      		)
      x
      y
      =
      -48
    • (
      −
      15
      x
      +
      8
      y
      		)
      x
      y
      =
      34
  • (
    (
    -3
    7
    		 )
    ,
    (
    -1
    6
    		 )
    )
  • (
    (
    -1
    7
    		 )
    ,
    (
    -1
    8
    		 )
    )
  • (
    (
    -1
    7
    		 )
    ,
    (
    -1
    6
    		 )
    )
  • (
    (
    -1
    5
    		 )
    ,
    (
    -1
    6
    		 )
    )
  • (
    (
    -1
    7
    		 )
    ,
    1
    6
    )
Question 2
2.
    • Solve
    • (
      −
      2
      x
      +
      4
      y
      −
      22
      		)
      =
      0
      (
      2
      x
      +
      5
      y
      −
      23
      		)
      =
      0
  • (
    -1
    ,
    2
    )
  • (
    -1
    ,
    4
    )
  • (
    2
    ,
    5
    )
  • (
    0
    ,
    5
    )
  • (
    -1
    ,
    5
    )
Question 3
3.
    • Solve the following pair of equations :
    •   −  
       
       
      13
       
       
      x
      		  +  
       
       
      13
       
       
      y
      =
       
       
      (
      −
      13
      		)
    •  
       
      2
       
       
      x
      		  +  
       
       
      12
       
       
      y
      =
       
       
      86
  • (
    1
    7
    ,
    1
    4
    )
  • (
    1
    7
    ,
    (
    -1
    6
    		 )
    )
  • (
    3
    7
    ,
    1
    6
    )
  • (
    1
    7
    ,
    1
    6
    )
  • (
    1
    9
    ,
    1
    6
    )
Question 4
4.
    • Solve
    • (
      5
      x
      +
      3
      y
      +
      1
      		)
      =
      4
      (
      −
      4
      x
      +
      4
      y
      −
      5
      		)
      =
      4
  • (
    (
    -15
    32
    		 )
    ,
    57
    32
    )
  • (
    (
    -13
    32
    		 )
    ,
    11
    6
    )
  • (
    (
    -13
    32
    		 )
    ,
    55
    32
    )
  • (
    (
    -15
    34
    		 )
    ,
    11
    6
    )
  • (
    (
    -15
    34
    		 )
    ,
    57
    32
    )
Question 5
5.
A motor boat can travel at a speed of 10.43 m/sec downstream and 2.19 m/sec upstream. How much distance can the boat travel in 41.69 sec in still water?
  • 264.06 m
  • 263.06 m
  • 261.06 m
  • 265.06 m
  • 262.06 m
Question 6
6.
    • 1
    • men and
    • 2
    • women can do a piece of work in
    • 12
    • days.
    • 4
    • men and
    • 3
    • women can do the same work in
    • 4
    • days.
    • In how many days can
    • 5
    • men and
    • 4
    • women complete the same work?
  • 3
    1
    7
    days
  • 3
    5
    19
    days
  • 3
    3
    17
    days
  • 3
    3
    19
    days
  • 3
    1
    19
    days
Question 7
7.
    • Solve the following pair of equations :
    •   −  
       
       
      5
      x
      		  +  
       
       
      12
       
       
      y
      =
       
       
      20
    •   −  
       
       
      8
      x
      		  +  
       
       
      10
       
       
      y
      =
       
       
      (
      −
      14
      		)
  • (
    10
    ,
    1
    5
    )
  • (
    9
    ,
    1
    5
    )
  • (
    8
    ,
    (
    -1
    5
    		 )
    )
  • (
    8
    ,
    1
    3
    )
  • (
    8
    ,
    1
    5
    )
Question 8
8.
    • Solve the following pair of equations :
    • (
      17
      x
      +
      10
      y
      		)
      =
      (
      −
      39
      x
      y
      		)
    • (
      11
      x
      +
      15
      y
      		)
      =
      43
      x
      y
  • (
    1
    10
    ,
    (
    -1
    7
    		 )
    )
  • (
    1
    8
    ,
    1
    7
    )
  • (
    3
    8
    ,
    (
    -1
    7
    		 )
    )
  • (
    1
    8
    ,
    (
    -1
    9
    		 )
    )
  • (
    1
    8
    ,
    (
    -1
    7
    		 )
    )
Question 9
9.
    • Solve
    • (
      2
      x
      +
      2
      y
      +
      2
      		)
      =
      0
      (
      −
      x
      +
      3
      y
      +
      1
      		)
      =
      0
  • (
    1
    2
    ,
    (
    -3
    2
    		 )
    )
  • (
    (
    -1
    4
    		 )
    ,
    (
    -1
    2
    		 )
    )
  • (
    1
    2
    ,
    -1
    )
  • (
    (
    -1
    2
    		 )
    ,
    (
    -1
    2
    		 )
    )
  • (
    (
    -1
    4
    		 )
    ,
    -1
    )
Question 10
10.
    • Solve the following pair of equations :
    •  
       
      3
       
       
      (
      x
      −
      6
      		)
      		  +  
       
       
      13
       
       
      (
      y
      −
      3
      		)
      =
       
       
      (
      −
      73
      		)
    •  
       
      1
       
       
      (
      x
      −
      6
      		)
      		  +  
       
       
      12
       
       
      (
      y
      −
      3
      		)
      =
       
       
      (
      −
      78
      		)
  • (
    37
    6
    ,
    -2
    )
  • (
    2
    ,
    20
    7
    )
  • (
    37
    6
    ,
    20
    7
    )
  • (
    37
    6
    ,
    -1
    )
  • (
    1
    ,
    20
    7
    )