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 :
    •  
       
      5
      x
      		  +  
       
       
      15
       
       
      y
      =
       
       
      (
      −
      10
      		)
    •  
       
      12
      x
      		  +  
       
       
      2
       
       
      y
      =
       
       
      78
  • (
    7
    ,
    1
    3
    )
  • (
    10
    ,
    (
    -1
    3
    		 )
    )
  • (
    7
    ,
    (
    -1
    5
    		 )
    )
  • (
    7
    ,
    (
    -1
    3
    		 )
    )
  • (
    8
    ,
    (
    -1
    3
    		 )
    )
Question 2
2.
A motor boat can travel at a speed of 51.05 m/sec downstream and 32.93 m/sec upstream. What is the speed of the motor boat in still water?
  • 39.99 m/sec
  • 41.99 m/sec
  • 42.99 m/sec
  • 43.99 m/sec
  • 40.99 m/sec
Question 3
3.
    • Solve
    • (
      −
      3
      x
      +
      4
      y
      +
      2
      		)
      =
      (
      4
      x
      −
      y
      −
      4
      		)
      (
      5
      x
      +
      5
      y
      +
      3
      		)
      =
      (
      −
      2
      x
      +
      y
      −
      2
      		)
  • (
    (
    -1
    65
    		 )
    ,
    (
    -11
    9
    		 )
    )
  • (
    (
    -1
    63
    		 )
    ,
    (
    -11
    9
    		 )
    )
  • (
    1
    63
    ,
    (
    -13
    9
    		 )
    )
  • (
    1
    63
    ,
    (
    -9
    7
    		 )
    )
  • (
    (
    -1
    65
    		 )
    ,
    (
    -9
    7
    		 )
    )
Question 4
4.
    • Solve the following pair of equations :
    •  
       
      10
       
       
      x
      		  +  
       
       
      14
      y
      =
       
       
      (
      −
      18
      		)
    •  
       
      6
       
       
      x
      		  +  
       
       
      17
      y
      =
       
       
      (
      −
      71
      		)
  • (
    1
    8
    ,
    -7
    )
  • (
    3
    8
    ,
    -7
    )
  • (
    1
    10
    ,
    -7
    )
  • (
    1
    8
    ,
    -10
    )
  • (
    1
    8
    ,
    -8
    )
Question 5
5.
    • Solve the following pair of equations :
    •   −  
       
       
      4
       
       
      x
      		  −  
       
       
      3
       
       
      y
      =
       
       
      (
      −
      15
      		)
    •   −  
       
       
      3
       
       
      x
      		  +  
       
       
      2
       
       
      y
      =
       
       
      (
      −
      24
      		)
  • (
    1
    6
    ,
    (
    -1
    3
    		 )
    )
  • (
    1
    6
    ,
    1
    3
    )
  • (
    1
    6
    ,
    (
    -1
    5
    		 )
    )
  • (
    1
    8
    ,
    (
    -1
    3
    		 )
    )
  • (
    1
    2
    ,
    (
    -1
    3
    		 )
    )
Question 6
6.
    • Solve the following pair of equations :
    •   −  
       
       
      8
       
       
      (
      x
      +
      y
      		)
      		  +  
       
       
      17
       
       
      (
      x
      −
      y
      		)
      =
       
       
      (
      −
      81
      		)
    •  
       
      5
       
       
      (
      x
      +
      y
      		)
      		  +  
       
       
      9
       
       
      (
      x
      −
      y
      		)
      =
       
       
      31
  • (
    (
    -7
    16
    		 )
    ,
    9
    14
    )
  • (
    (
    -7
    18
    		 )
    ,
    9
    16
    )
  • (
    (
    -7
    16
    		 )
    ,
    7
    16
    )
  • (
    (
    -5
    16
    		 )
    ,
    9
    16
    )
  • (
    (
    -7
    16
    		 )
    ,
    9
    16
    )
Question 7
7.
    • 2
    • men and
    • 3
    • women can do a piece of work in
    • 12
    • days.
    • 2
    • men and
    • 1
    • women can do the same work in
    • 32
    • days.
    • In how many days can
    • 4
    • men and
    • 5
    • women complete the same work?
  • 7
    1
    9
    days
  • 7
    1
    11
    days
  • 7
    1
    3
    days
  • 7
    1
    7
    days
  • 6
    8
    9
    days
Question 8
8.
    • Solve
    • (
      −
      5
      x
      +
      2
      y
      +
      2
      		)
      =
      0
      (
      5
      x
      +
      3
      y
      −
      3
      		)
      =
      0
  • (
    4
    9
    ,
    1
    3
    )
  • (
    14
    25
    ,
    (
    -1
    5
    		 )
    )
  • (
    4
    9
    ,
    1
    5
    )
  • (
    12
    25
    ,
    1
    5
    )
  • (
    14
    25
    ,
    1
    3
    )
Question 9
9.
A motor boat can travel at a speed of 15.46 m/sec downstream and 4.48 m/sec upstream. What is the speed of the stream?
  • 3.49 m/sec
  • 7.49 m/sec
  • 4.49 m/sec
  • 6.49 m/sec
  • 5.49 m/sec
Question 10
10.
    • Solve the following pair of equations :
    • (
      2
      x
      +
      10
      y
      		)
      =
      (
      −
      64
      x
      y
      		)
    • (
      −
      11
      x
      +
      3
      y
      		)
      =
      4
      x
      y
  • (
    (
    -1
    4
    		 )
    ,
    (
    -1
    2
    		 )
    )
  • (
    (
    -1
    2
    		 )
    ,
    (
    -1
    2
    		 )
    )
  • (
    (
    -1
    6
    		 )
    ,
    1
    2
    )
  • (
    (
    -1
    6
    		 )
    ,
    (
    -1
    2
    		 )
    )
  • (
    (
    -1
    6
    		 )
    ,
    (
    -1
    4
    		 )
    )