ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Simultaneous Linear Equations
Question 1
1.
    • Solve
    • (
      3
      x
      +
      y
      −
      2
      		)
      =
      (
      5
      x
      −
      2
      y
      +
      3
      		)
      (
      −
      2
      x
      +
      2
      y
      		)
      =
      (
      −
      5
      x
      +
      3
      y
      +
      3
      		)
  • (
    3
    ,
    2
    )
  • (
    5
    ,
    1
    )
  • (
    3
    ,
    3
    )
  • (
    5
    ,
    2
    )
  • (
    2
    ,
    3
    )
Question 2
2.
A motor boat can travel at a speed of 36.85 m/sec downstream and 20.39 m/sec upstream. What is the speed of the stream?
  • 7.23 m/sec
  • 10.23 m/sec
  • 8.23 m/sec
  • 9.23 m/sec
  • 6.23 m/sec
Question 3
3.
    • Solve the following pair of equations :
    • (
      −
      11
      x
      +
      6
      y
      		)
      =
      (
      −
      75
      x
      y
      		)
    • (
      −
      16
      x
      +
      2
      y
      		)
      =
      (
      −
      62
      x
      y
      		)
  • (
    (
    -1
    5
    		 )
    ,
    1
    3
    )
  • (
    (
    -1
    7
    		 )
    ,
    (
    -1
    3
    		 )
    )
  • (
    (
    -1
    7
    		 )
    ,
    1
    )
  • (
    (
    -3
    7
    		 )
    ,
    1
    3
    )
  • (
    (
    -1
    7
    		 )
    ,
    1
    3
    )
Question 4
4.
    • 1
    • men and
    • 5
    • women can do a piece of work in
    • 12
    • days.
    • 2
    • men and
    • 5
    • women can do the same work in
    • 8
    • days.
    • In how many days can
    • 4
    • men and
    • 4
    • women complete the same work?
  • 4
    days
  • 6
    days
  • 7
    days
  • 2
    days
  • 5
    days
Question 5
5.
    • Solve
    • (
      x
      +
      4
      y
      −
      5
      		)
      =
      3
      (
      −
      5
      x
      +
      5
      y
      +
      3
      		)
      =
      4
  • (
    38
    25
    ,
    39
    23
    )
  • (
    38
    25
    ,
    39
    25
    )
  • (
    36
    25
    ,
    41
    25
    )
  • (
    38
    27
    ,
    39
    23
    )
  • (
    38
    27
    ,
    41
    25
    )
Question 6
6.
    • Solve the following pair of equations :
    •   −  
       
       
      4
      x
      		  +  
       
       
      8
       
       
      y
      =
       
       
      48
    •   −  
       
       
      17
      x
      		  +  
       
       
      13
       
       
      y
      =
       
       
      15
  • (
    6
    ,
    1
    7
    )
  • (
    7
    ,
    1
    9
    )
  • (
    9
    ,
    1
    9
    )
  • (
    6
    ,
    1
    9
    )
  • (
    6
    ,
    (
    -1
    9
    		 )
    )
Question 7
7.
    • Solve the following pair of equations :
    •  
       
      3
       
       
      (
      x
      +
      7
      		)
      		  +  
       
       
      11
       
       
      (
      y
      −
      5
      		)
      =
       
       
      61
    •   −  
       
       
      6
       
       
      (
      x
      +
      7
      		)
      		  +  
       
       
      6
       
       
      (
      y
      −
      5
      		)
      =
       
       
      18
  • (
    (
    -13
    2
    		 )
    ,
    -2
    )
  • (
    1
    ,
    26
    5
    )
  • (
    (
    -13
    2
    		 )
    ,
    26
    5
    )
  • (
    (
    -13
    2
    		 )
    ,
    -1
    )
  • (
    3
    ,
    26
    5
    )
Question 8
8.
A motor boat can travel at a speed of 13.69 m/sec downstream and 0.87 m/sec upstream. What is the speed of the motor boat in still water?
  • 5.28 m/sec
  • 8.28 m/sec
  • 6.28 m/sec
  • 9.28 m/sec
  • 7.28 m/sec
Question 9
9.
    • Solve the following pair of equations :
    • (
      −
      6
      x
      +
      y
      		)
      x
      y
      =
      33
    • (
      11
      x
      +
      3
      y
      		)
      x
      y
      =
      -46
  • (
    1
    3
    ,
    (
    -1
    7
    		 )
    )
  • (
    1
    3
    ,
    (
    -1
    5
    		 )
    )
  • (
    1
    ,
    (
    -1
    5
    		 )
    )
  • (
    1
    3
    ,
    1
    5
    )
  • (
    1
    5
    ,
    (
    -1
    5
    		 )
    )
Question 10
10.
    • Solve
    • (
      x
      −
      6
      y
      −
      32
      		)
      =
      0
      (
      4
      x
      −
      12
      y
      −
      56
      		)
      =
      0
  • (
    -2
    ,
    -6
    )
  • (
    -3
    ,
    -6
    )
  • (
    -4
    ,
    -6
    )
  • (
    -4
    ,
    -7
    )
  • (
    -4
    ,
    -8
    )