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 :
    •  
       
      3
       
       
      (
      x
      +
      8
      		)
      		  −  
       
       
      3
       
       
      (
      y
      −
      8
      		)
      =
       
       
      3
    •  
       
      15
       
       
      (
      x
      +
      8
      		)
      		  −  
       
       
      6
       
       
      (
      y
      −
      8
      		)
      =
       
       
      (
      −
      66
      		)
  • (
    (
    -65
    8
    		 )
    ,
    71
    9
    )
  • (
    3
    ,
    71
    9
    )
  • (
    (
    -65
    8
    		 )
    ,
    -1
    )
  • (
    1
    ,
    71
    9
    )
  • (
    (
    -65
    8
    		 )
    ,
    -3
    )
Question 2
2.
    • Solve the following pair of equations :
    •  
       
      2
       
       
      x
      		  +  
       
       
      7
      y
      =
       
       
      (
      −
      26
      		)
    •  
       
      8
       
       
      x
      		  +  
       
       
      14
      y
      =
       
       
      (
      −
      20
      		)
  • (
    1
    10
    ,
    -6
    )
  • (
    3
    8
    ,
    -6
    )
  • (
    1
    8
    ,
    -8
    )
  • (
    1
    8
    ,
    -6
    )
  • (
    1
    8
    ,
    -7
    )
Question 3
3.
    • Solve the following pair of equations :
    •  
       
      2
       
       
      x
      		  −  
       
       
      1
       
       
      y
      =
       
       
      (
      −
      9
      		)
    •  
       
      9
       
       
      x
      		  −  
       
       
      2
       
       
      y
      =
       
       
      (
      −
      58
      		)
  • (
    (
    -1
    8
    		 )
    ,
    (
    -1
    7
    		 )
    )
  • (
    (
    -1
    6
    		 )
    ,
    (
    -1
    7
    		 )
    )
  • (
    (
    -1
    8
    		 )
    ,
    (
    -1
    9
    		 )
    )
  • (
    (
    -3
    8
    		 )
    ,
    (
    -1
    7
    		 )
    )
  • (
    (
    -1
    8
    		 )
    ,
    1
    7
    )
Question 4
4.
    • Solve the following pair of equations :
    • (
      9
      x
      −
      4
      y
      		)
      =
      (
      −
      45
      x
      y
      		)
    • (
      4
      x
      −
      7
      y
      		)
      =
      (
      −
      67
      x
      y
      		)
  • (
    1
    9
    ,
    1
    -1
    )
  • (
    1
    9
    ,
    -3
    )
  • (
    1
    3
    ,
    1
    -1
    )
  • (
    1
    11
    ,
    1
    -1
    )
  • (
    1
    9
    ,
    -2
    )
Question 5
5.
    • Solve
    • (
      3
      x
      +
      2
      y
      −
      1
      		)
      =
      (
      −
      4
      x
      −
      3
      y
      +
      5
      		)
      (
      4
      x
      −
      2
      y
      +
      3
      		)
      =
      (
      2
      x
      +
      5
      y
      +
      3
      		)
  • (
    42
    61
    ,
    4
    19
    )
  • (
    42
    59
    ,
    12
    59
    )
  • (
    42
    61
    ,
    12
    59
    )
  • (
    44
    59
    ,
    10
    59
    )
  • (
    44
    59
    ,
    4
    19
    )
Question 6
6.
A motor boat can travel at a speed of 22.37 m/sec downstream and 6.45 m/sec upstream. What is the speed of the stream?
  • 5.96 m/sec
  • 8.96 m/sec
  • 6.96 m/sec
  • 7.96 m/sec
  • 9.96 m/sec
Question 7
7.
    • Solve
    • (
      3
      x
      +
      4
      y
      −
      26
      		)
      =
      0
      (
      −
      3
      x
      −
      y
      +
      11
      		)
      =
      0
  • (
    2
    ,
    4
    )
  • (
    2
    ,
    2
    )
  • (
    4
    ,
    5
    )
  • (
    2
    ,
    5
    )
  • (
    3
    ,
    5
    )
Question 8
8.
    • Solve
    • (
      −
      2
      x
      −
      y
      		)
      =
      0
      (
      −
      5
      x
      −
      5
      y
      +
      4
      		)
      =
      0
  • (
    (
    -2
    5
    		 )
    ,
    6
    5
    )
  • (
    (
    -4
    7
    		 )
    ,
    2
    )
  • (
    (
    -4
    7
    		 )
    ,
    8
    5
    )
  • (
    (
    -4
    5
    		 )
    ,
    8
    5
    )
  • (
    (
    -2
    5
    		 )
    ,
    2
    )
Question 9
9.
A motor boat can travel at a speed of 40.07 m/sec downstream and 18.03 m/sec upstream. How much distance can the boat travel in 17.22 sec in still water?
  • 501.24 m
  • 499.24 m
  • 498.24 m
  • 500.24 m
  • 502.24 m
Question 10
10.
    • Solve
    • (
      −
      2
      x
      +
      5
      y
      +
      1
      		)
      =
      2
      (
      x
      +
      4
      y
      +
      5
      		)
      =
      1
  • (
    (
    -22
    13
    		 )
    ,
    (
    -7
    11
    		 )
    )
  • (
    (
    -22
    13
    		 )
    ,
    (
    -9
    13
    		 )
    )
  • (
    (
    -26
    15
    		 )
    ,
    (
    -7
    13
    		 )
    )
  • (
    (
    -24
    13
    		 )
    ,
    (
    -7
    13
    		 )
    )
  • (
    (
    -26
    15
    		 )
    ,
    (
    -7
    11
    		 )
    )