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.
Find the equation of the displayed line
  • 3
    y
    =
    (
    −
    1
    		)
  • y
    =
    0
  • x
    =
    (
    −
    1
    		)
  • y
    =
    (
    −
    2
    		)
  • y
    =
    (
    −
    1
    		)
Question 2
2.
    • Solve the equation
    • (
      5
      4
      x
      −
      7
      		)
      =
      9
      2
  • 48
    5
  • 28
    3
  • 46
    5
  • 44
    5
  • 64
    7
Question 3
3.
    • The L.H.S of the equation
    • (
      2
      x
      −
      8
      		)
      =
      0
    • is
  • (
    2
    x
    −
    8
    		)
  • (
    2
    x
    −
    6
    		)
  • (
    2
    x
    −
    11
    		)
  • (
    x
    −
    8
    		)
  • 0
Question 4
4.
    • Solve :
    •  
       
      (
      −
      4
      x
      −
      2
      		)
      		  +  
       
       
      (
      2
      x
      +
      3
      		)
      =
       
       
      (
      4
      x
      −
      5
      		)
       
       
      5
  • 1
  • 3
    7
  • 5
    7
  • 5
    9
Question 5
5.
    • Solve :
    •  
       
      4
      x
      		  +  
       
       
      (
      4
      x
      +
      3
      		)
       
       
      2
      =
       
       
      (
      −
      5
      x
      −
      2
      		)
       
       
      4
  • (
    -8
    29
    		 )
  • (
    -8
    27
    		 )
  • (
    -10
    29
    		 )
  • (
    -6
    29
    		 )
  • (
    -8
    31
    		 )
Question 6
6.
    • Which of the following equations is the same as
    • (
      x
      +
      2
      		)
      =
      4
      x
  • (
    x
    −
    1
    		)
    =
    (
    4
    x
    −
    3
    		)
  • (
    x
    −
    2
    		)
    =
    (
    4
    x
    −
    3
    		)
  • (
    x
    −
    1
    		)
    =
    (
    4
    x
    −
    8
    		)
  • (
    x
    −
    1
    		)
    =
    (
    4
    x
    +
    2
    		)
  • x
    =
    (
    4
    x
    −
    3
    		)
Question 7
7.
    • Solve :
    •  
       
      (
      −
      x
      +
      3
      		)
       
       
      3
      		  +  
       
       
      (
      −
      3
      x
      +
      5
      		)
      =
       
       
      (
      −
      2
      x
      −
      4
      		)
       
       
      12
  • 1
  • 3
  • 5
  • -1
  • 2
Question 8
8.
    • Which of the following equations is not the same as
    • 9
      x
      =
      (
      x
      −
      9
      		)
  • 18
    x
    =
    (
    2
    x
    −
    18
    		)
  • (
    −
    45
    x
    		)
    =
    (
    −
    5
    x
    +
    45
    		)
  • 36
    x
    =
    (
    4
    x
    −
    36
    		)
  • (
    −
    27
    x
    		)
    =
    (
    x
    −
    12
    		)
  • (
    −
    18
    x
    		)
    =
    (
    −
    2
    x
    +
    18
    		)
Question 9
9.
The ratio of males to females in a committee of 140 members is 4 : 3. How many more ladies should be added to the committee so that the ratio of males to females is 8 : 15?
  • 90
  • 93
  • 91
  • 88
  • 89
Question 10
10.
    • Find the set of points satisfying the equation
    		•
      y
      =
      (
      9
      5
      x
      +
      53
      5
      		)
    • (
      (
      −
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      44
      5
      )
    • ,
    • (
      0
      ,
      53
      5
      )
    • ,
    • (
      1
      ,
      62
      5
      )
    • ,
    • (
      2
      ,
      71
      5
      )
    • (
      (
      −
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      44
      5
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      43
      5
      )
    • ,
    • (
      1
      ,
      62
      5
      )
    • ,
    • (
      2
      ,
      71
      5
      )
    • (
      (
      −
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      44
      5
      )
    • ,
    • (
      0
      ,
      53
      5
      )
    • ,
    • (
      1
      ,
      62
      5
      )
    • ,
    • (
      4
      ,
      81
      5
      )
    • (
      (
      −
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      44
      5
      )
    • ,
    • (
      1
      ,
      48
      5
      )
    • ,
    • (
      1
      ,
      62
      5
      )
    • ,
    • (
      2
      ,
      71
      5
      )
    • (
      (
      −
      2
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      44
      5
      )
    • ,
    • (
      0
      ,
      53
      5
      )
    • ,
    • (
      0
      ,
      67
      5
      )
    • ,
    • (
      2
      ,
      71
      5
      )