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 :
    •   −  
       
       
      7
      x
      		  +  
       
       
      5
       
       
      y
      =
       
       
      (
      −
      33
      		)
    •  
       
      5
      x
      		  −  
       
       
      3
       
       
      y
      =
       
       
      23
  • (
    6
    ,
    1
    -1
    )
  • (
    4
    ,
    1
    -1
    )
  • (
    4
    ,
    -4
    )
  • (
    5
    ,
    1
    -1
    )
  • (
    4
    ,
    -2
    )
Question 2
2.
    • Solve the following pair of equations :
    •  
       
      2
       
       
      x
      		  +  
       
       
      3
       
       
      y
      =
       
       
      (
      −
      3
      		)
    •   −  
       
       
      3
       
       
      x
      		  −  
       
       
      6
       
       
      y
      =
       
       
      3
  • (
    (
    -1
    3
    		 )
    ,
    0
    )
  • (
    -1
    ,
    1
    1
    )
  • (
    (
    -1
    3
    		 )
    ,
    1
    1
    )
  • (
    (
    -1
    3
    		 )
    ,
    -2
    )
Question 3
3.
    • Solve
    • (
      −
      2
      x
      −
      2
      y
      +
      4
      		)
      =
      0
      (
      −
      x
      −
      2
      y
      −
      4
      		)
      =
      0
  • (
    9
    ,
    -6
    )
  • (
    11
    ,
    -7
    )
  • (
    8
    ,
    -6
    )
  • (
    9
    ,
    -7
    )
  • (
    11
    ,
    -9
    )
Question 4
4.
    • Solve
    • (
      5
      x
      +
      5
      y
      +
      1
      		)
      =
      (
      −
      3
      x
      −
      4
      y
      +
      5
      		)
      (
      5
      x
      +
      4
      y
      −
      3
      		)
      =
      (
      2
      x
      −
      2
      y
      −
      2
      		)
  • (
    5
    9
    ,
    (
    -4
    19
    		 )
    )
  • (
    5
    9
    ,
    (
    -4
    21
    		 )
    )
  • (
    1
    ,
    (
    -4
    19
    		 )
    )
  • (
    1
    ,
    (
    -2
    7
    		 )
    )
  • (
    5
    7
    ,
    (
    -4
    21
    		 )
    )
Question 5
5.
    • Solve
    • (
      3
      x
      +
      4
      y
      −
      39
      		)
      =
      0
      (
      3
      x
      +
      12
      y
      −
      87
      		)
      =
      0
  • (
    6
    ,
    6
    )
  • (
    8
    ,
    6
    )
  • (
    5
    ,
    6
    )
  • (
    5
    ,
    5
    )
  • (
    5
    ,
    3
    )
Question 6
6.
    • Solve the following pair of equations :
    •   −  
       
       
      1
       
       
      x
      		  +  
       
       
      5
      y
      =
       
       
      (
      −
      32
      		)
    •  
       
      9
       
       
      x
      		  +  
       
       
      7
      y
      =
       
       
      (
      −
      24
      		)
  • (
    1
    2
    ,
    -8
    )
  • (
    3
    2
    ,
    -6
    )
  • (
    1
    2
    ,
    -6
    )
  • (
    1
    2
    ,
    -7
    )
  • (
    1
    4
    ,
    -6
    )
Question 7
7.
    • 4
    • men and
    • 25
    • women can do a piece of work in
    • 4
    • days.
    • 5
    • men and
    • 2
    • women can do the same work in
    • 12
    • days.
    • In how many days can
    • 4
    • men and
    • 3
    • women complete the same work?
  • 12
    96
    107
    days
  • 12
    98
    109
    days
  • 12
    94
    109
    days
  • 12
    96
    109
    days
  • 12
    32
    37
    days
Question 8
8.
A motor boat can travel at a speed of 36.06 m/sec downstream and 15.48 m/sec upstream. How much distance can the boat travel in 19.46 sec in still water?
  • 502.48 m
  • 503.48 m
  • 500.48 m
  • 499.48 m
  • 501.48 m
Question 9
9.
    • Solve
    • (
      5
      x
      +
      y
      −
      5
      		)
      =
      (
      −
      3
      		)
      (
      −
      x
      −
      4
      y
      +
      4
      		)
      =
      1
  • (
    5
    21
    ,
    13
    17
    )
  • (
    7
    19
    ,
    11
    19
    )
  • (
    5
    21
    ,
    13
    19
    )
  • (
    7
    19
    ,
    13
    17
    )
  • (
    5
    19
    ,
    13
    19
    )
Question 10
10.
A motor boat can travel at a speed of 20.04 m/sec downstream and 0.60 m/sec upstream. How much time will it take to cross a distance of 341.08 m in still water?
  • 34.05 sec
  • 32.05 sec
  • 31.05 sec
  • 33.05 sec
  • 35.05 sec