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 :
    •   −  
       
       
      4
       
       
      (
      x
      +
      6
      		)
      		  −  
       
       
      1
       
       
      (
      y
      +
      9
      		)
      =
       
       
      (
      −
      27
      		)
    •  
       
      14
       
       
      (
      x
      +
      6
      		)
      		  +  
       
       
      7
       
       
      (
      y
      +
      9
      		)
      =
       
       
      77
  • (
    (
    -47
    8
    		 )
    ,
    (
    -46
    5
    		 )
    )
  • (
    1
    ,
    (
    -46
    5
    		 )
    )
  • (
    (
    -47
    8
    		 )
    ,
    -3
    )
  • (
    3
    ,
    (
    -46
    5
    		 )
    )
  • (
    (
    -47
    8
    		 )
    ,
    -1
    )
Question 2
2.
    • Solve the following pair of equations :
    •   −  
       
       
      3
       
       
      (
      4
      x
      +
      y
      		)
      		  −  
       
       
      4
       
       
      (
      4
      x
      −
      y
      		)
      =
       
       
      6
    •  
       
      8
       
       
      (
      4
      x
      +
      y
      		)
      		  −  
       
       
      7
       
       
      (
      4
      x
      −
      y
      		)
      =
       
       
      37
  • (
    1
    50
    ,
    5
    12
    )
  • (
    1
    16
    ,
    5
    12
    )
  • (
    1
    48
    ,
    1
    2
    )
  • (
    1
    48
    ,
    5
    12
    )
  • (
    1
    48
    ,
    1
    4
    )
Question 3
3.
    • 5
    • men and
    • 16
    • women can do a piece of work in
    • 6
    • days.
    • 3
    • men and
    • 4
    • women can do the same work in
    • 10
    • days.
    • In how many days can
    • 2
    • men and
    • 5
    • women complete the same work?
  • 16
    days
  • 17
    days
  • 14
    days
  • 13
    days
  • 15
    days
Question 4
4.
    • Solve
    • (
      4
      x
      −
      5
      y
      −
      5
      		)
      =
      (
      −
      x
      +
      5
      y
      −
      3
      		)
      (
      x
      +
      4
      y
      −
      2
      		)
      =
      (
      −
      4
      x
      +
      2
      y
      −
      4
      		)
  • (
    (
    -4
    17
    		 )
    ,
    (
    -1
    3
    		 )
    )
  • (
    (
    -2
    15
    		 )
    ,
    -1
    )
  • (
    (
    -4
    17
    		 )
    ,
    -1
    )
  • (
    (
    -4
    15
    		 )
    ,
    (
    -1
    3
    		 )
    )
Question 5
5.
    • Solve the following pair of equations :
    •   −  
       
       
      4
       
       
      x
      		  −  
       
       
      6
       
       
      y
      =
       
       
      (
      −
      40
      		)
    •  
       
      1
       
       
      x
      		  −  
       
       
      7
       
       
      y
      =
       
       
      (
      −
      58
      		)
  • (
    (
    -1
    2
    		 )
    ,
    1
    6
    )
  • (
    1
    ,
    1
    8
    )
  • (
    (
    -1
    2
    		 )
    ,
    1
    8
    )
  • (
    (
    -3
    2
    		 )
    ,
    1
    8
    )
  • (
    (
    -1
    2
    		 )
    ,
    (
    -1
    8
    		 )
    )
Question 6
6.
    • Solve the following pair of equations :
    •   −  
       
       
      11
       
       
      (
      x
      +
      y
      		)
      		  −  
       
       
      1
       
       
      (
      x
      −
      y
      		)
      =
       
       
      95
    •   −  
       
       
      5
       
       
      (
      x
      +
      y
      		)
      		  −  
       
       
      17
       
       
      (
      x
      −
      y
      		)
      =
       
       
      (
      −
      23
      		)
  • (
    5
    72
    ,
    (
    -13
    70
    		 )
    )
  • (
    7
    72
    ,
    (
    -13
    72
    		 )
    )
  • (
    5
    74
    ,
    (
    -13
    72
    		 )
    )
  • (
    5
    72
    ,
    (
    -13
    72
    		 )
    )
  • (
    5
    72
    ,
    (
    -5
    24
    		 )
    )
Question 7
7.
A motor boat can travel at a speed of 18.64 m/sec downstream and 0.28 m/sec upstream. What is the speed of the motor boat in still water?
  • 10.46 m/sec
  • 9.46 m/sec
  • 7.46 m/sec
  • 8.46 m/sec
  • 11.46 m/sec
Question 8
8.
    • Solve the following pair of equations :
    •  
       
      4
       
       
      x
      		  +  
       
       
      2
      y
      =
       
       
      14
    •   −  
       
       
      11
       
       
      x
      		  −  
       
       
      y
      =
       
       
      (
      −
      16
      		)
  • (
    2
    ,
    5
    )
  • (
    1
    1
    ,
    4
    )
  • (
    1
    1
    ,
    3
    )
  • (
    1
    1
    ,
    5
    )
  • (
    3
    ,
    5
    )
Question 9
9.
A motor boat can travel at a speed of 40.41 m/sec downstream and 15.91 m/sec upstream. How much time will it take to cross a distance of 380.72 m in still water?
  • 11.52 sec
  • 12.52 sec
  • 13.52 sec
  • 14.52 sec
  • 15.52 sec
Question 10
10.
    • Solve the following pair of equations :
    •  
       
      4
      x
      		  −  
       
       
      11
       
       
      y
      =
       
       
      17
    •  
       
      x
      		  −  
       
       
      5
       
       
      y
      =
       
       
      11
  • (
    -4
    ,
    (
    -1
    5
    		 )
    )
  • (
    -4
    ,
    1
    3
    )
  • (
    -1
    ,
    (
    -1
    3
    		 )
    )
  • (
    -3
    ,
    (
    -1
    3
    		 )
    )
  • (
    -4
    ,
    (
    -1
    3
    		 )
    )