ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Linear Equations and Simultaneous Linear Equations
Question 1
1.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        (
        −
        119
        9
        )
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        (
        −
        127
        9
        )
        )
      • ,
      • (
        0
        ,
        (
        −
        15
        )
        )
      • ,
      • (
        1
        ,
        (
        −
        143
        9
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        151
        9
        )
        )
    • ?
  • y
    =
    (
    −
    8
    9
    x
    −
    15
    		)
  • x
    =
    (
    8
    9
    y
    −
    25
    9
    		)
  • (
    −
    8
    x
    −
    9
    y
    +
    10
    		)
    =
    0
  • (
    10
    x
    +
    5
    y
    −
    4
    		)
    =
    0
  • x
    =
    (
    −
    9
    		)
Question 2
2.
    • Solve :
    •  
       
      (
      −
      x
      −
      5
      		)
       
       
      12
      		  +  
       
       
      (
      x
      −
      5
      		)
       
       
      4
      =
       
       
      (
      −
      x
      −
      2
      		)
  • (
    -2
    9
    		 )
  • (
    -4
    7
    		 )
  • (
    -2
    7
    		 )
  • 0
  • (
    -2
    5
    		 )
Question 3
3.
The ratio of males to females in a committee of 500 members is 18 : 7. How many more ladies should be added to the committee so that the ratio of males to females is 30 : 17?
  • 65
  • 64
  • 67
  • 63
  • 62
Question 4
4.
    • Solve :
    •  
       
      8
       
       
      (
      4
      x
      −
      2
      		)
      		  +  
       
       
      4
       
       
      (
      4
      x
      +
      2
      		)
      =
       
       
      12
       
       
      4
      x
  • (
    -5
    2
    		 )
  • -2
  • (
    -1
    2
    		 )
  • (
    -3
    2
    		 )
  • (
    -5
    4
    		 )
Question 5
5.
    • Find the set of points satisfying the equation
    		•
      y
      =
      5
    • (
      (
      −
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      )
    • ,
    • (
      0
      ,
      5
      )
    • ,
    • (
      1
      ,
      5
      )
    • ,
    • (
      2
      ,
      5
      )
    • (
      (
      −
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      3
      )
    • ,
    • (
      1
      ,
      5
      )
    • ,
    • (
      2
      ,
      5
      )
    • (
      (
      −
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      )
    • ,
    • (
      0
      ,
      5
      )
    • ,
    • (
      1
      ,
      5
      )
    • ,
    • (
      4
      ,
      7
      )
    • (
      (
      −
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      )
    • ,
    • (
      0
      ,
      5
      )
    • ,
    • (
      0
      ,
      6
      )
    • ,
    • (
      2
      ,
      5
      )
    • (
      (
      −
      2
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      )
    • ,
    • (
      1
      ,
      4
      )
    • ,
    • (
      1
      ,
      5
      )
    • ,
    • (
      2
      ,
      5
      )
Question 6
6.
    • Solve :
    •  
       
      (
      −
      7
      x
      +
      6
      		)
       
       
      (
      −
      7
      x
      −
      5
      		)
      =
       
       
      (
      −
      7
      x
      +
      4
      		)
       
       
      (
      −
      7
      x
      −
      4
      		)
  • (
    -4
    21
    		 )
  • (
    -4
    23
    		 )
  • (
    -2
    21
    		 )
  • (
    -4
    19
    		 )
  • (
    -2
    7
    		 )
Question 7
7.
    • Find the equation of a straight line parallel to x-axis and
    • passing through the point
    • (
      7
      ,
      6
      )
  • x
    =
    10
  • y
    =
    8
  • x
    =
    7
  • y
    =
    6
  • y
    =
    5
Question 8
8.
    • Solve the equation
    • (
      4
      3
      x
      +
      5
      2
      		)
      =
      4
  • 7
    6
  • 11
    8
  • 11
    10
  • 9
    8
  • 7
    8
Question 9
9.
    • The additive inverse of the expression
    • 3
    • is
  • 0
  • 3
  • (
    −
    3
    		)
  • (
    −
    4
    		)
  • (
    −
    6
    		)
Question 10
10.
    • Which of the following equations is the same as
    • (
      x
      +
      9
      		)
      =
      (
      −
      1
      		)
  • (
    −
    2
    x
    +
    14
    		)
    =
    (
    3
    x
    −
    6
    		)
  • (
    4
    x
    +
    4
    		)
    =
    (
    −
    3
    x
    +
    4
    		)
  • (
    2
    x
    +
    11
    		)
    =
    (
    −
    x
    −
    3
    		)
  • (
    4
    x
    +
    4
    		)
    =
    (
    3
    x
    −
    6
    		)
  • 7
    =
    (
    x
    +
    1
    		)