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
  • y
    =
    4
  • y
    =
    2
  • y
    =
    3
  • 4
    y
    =
    3
  • x
    =
    3
Question 2
2.
    • Which of the following equations is equivalent to
    • (
      −
      8
      x
      −
      1
      		)
      =
      4
  • (
    −
    8
    x
    		)
    =
    5
  • (
    −
    8
    x
    		)
    =
    8
  • (
    −
    8
    x
    		)
    =
    2
  • (
    −
    8
    x
    		)
    =
    0
  • (
    −
    8
    x
    		)
    =
    10
Question 3
3.
    • Find the number which bears the same ratio
    • to
    • 1
      4
    • that
    • 6
      8
    • does to
    • 3
      8
  • 3
    4
  • 2
    5
  • 2
    3
  • 1
    2
  • 1
    4
Question 4
4.
    • Find the equation of a straight line parallel to y-axis and
    • passing through the point
    • (
      6
      ,
      (
      −
      2
      )
      )
  • x
    =
    5
  • x
    =
    6
  • y
    =
    0
  • x
    =
    8
  • y
    =
    (
    −
    2
    		)
Question 5
5.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
  • x
    =
    y
  • x
    =
    k
  • y
    =
    k
  • y
    =
    0
  • x
    =
    0
Question 6
6.
    • Solve the following pair of equations :
    •   −  
       
       
      6
       
       
      x
      		  +  
       
       
      5
      y
      =
       
       
      (
      −
      10
      		)
    •   −  
       
       
      9
       
       
      x
      		  −  
       
       
      y
      =
       
       
      (
      −
      49
      		)
  • (
    1
    5
    ,
    4
    )
  • (
    1
    5
    ,
    2
    )
  • (
    1
    5
    ,
    3
    )
  • (
    1
    7
    ,
    4
    )
  • (
    3
    5
    ,
    4
    )
Question 7
7.
    • The value of
    • x
    • in terms of other variables and constant in
    • (
      −
      7
      x
      −
      6
      		)
      =
      (
      9
      x
      +
      3
      		)
    • is
  • x
    =
    (
    −
    1
    2
    		)
  • x
    =
    (
    −
    7
    16
    		)
  • x
    =
    (
    −
    9
    14
    		)
  • x
    =
    (
    −
    9
    16
    		)
  • x
    =
    (
    −
    11
    16
    		)
Question 8
8.
    • Which of the following equations is the same as
    • (
      −
      6
      x
      −
      8
      		)
      =
      0
  • (
    −
    6
    x
    −
    12
    		)
    =
    (
    −
    4
    		)
  • (
    −
    6
    x
    −
    10
    		)
    =
    (
    −
    4
    		)
  • (
    −
    6
    x
    −
    14
    		)
    =
    (
    −
    4
    		)
  • (
    −
    6
    x
    −
    12
    		)
    =
    (
    −
    1
    		)
  • (
    −
    6
    x
    −
    12
    		)
    =
    (
    −
    7
    		)
Question 9
9.
    • Solve the following pair of equations :
    • (
      10
      x
      +
      5
      y
      		)
      =
      (
      −
      55
      x
      y
      		)
    • (
      2
      x
      −
      2
      y
      		)
      =
      (
      −
      14
      x
      y
      		)
  • (
    3
    ,
    (
    -1
    6
    		 )
    )
  • (
    1
    1
    ,
    1
    6
    )
  • (
    1
    1
    ,
    (
    -1
    6
    		 )
    )
  • (
    1
    1
    ,
    (
    -1
    8
    		 )
    )
  • (
    2
    ,
    (
    -1
    6
    		 )
    )
Question 10
10.
    • In an examination, the ratio of passes to failures was 9 : 1.
    • Had 30 less appeared and 10 less passed, the ratio of passes to failures would have been 35 : 2.
    • How many students appeared for the examination?
  • 395
  • 410
  • 390
  • 405
  • 400