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 is equivalent to
    • (
      4
      x
      +
      3
      		)
      =
      5
  • 4
    x
    =
    3
  • 4
    x
    =
    2
  • 4
    x
    =
    1
  • 4
    x
    =
    6
  • 4
    x
    =
    (
    −
    2
    		)
Question 2
2.
    • Solve the following pair of equations :
    •   −  
       
       
      5
       
       
      x
      		  −  
       
       
      3
       
       
      y
      =
       
       
      (
      −
      3
      		)
    •   −  
       
       
      2
       
       
      x
      		  −  
       
       
      9
       
       
      y
      =
       
       
      (
      −
      48
      		)
  • (
    (
    -1
    3
    		 )
    ,
    (
    -1
    6
    		 )
    )
  • (
    (
    -1
    3
    		 )
    ,
    1
    4
    )
  • (
    -1
    ,
    1
    6
    )
  • (
    (
    -1
    3
    		 )
    ,
    1
    6
    )
Question 3
3.
    • Solve the equation
    • (
      8
      7
      x
      −
      8
      		)
      =
      (
      −
      7
      x
      +
      7
      2
      		)
  • 159
    112
  • 161
    114
  • 53
    38
  • 163
    116
  • 163
    114
Question 4
4.
    • Solve
    •  
    • (
      −
      2
      x
      +
      9
      y
      +
      46
      		)
      =
      0
      (
      2
      x
      +
      y
      +
      14
      		)
      =
      0
  • (
    (
    −
    2
    )
    ,
    (
    −
    4
    )
    )
  • (
    (
    −
    4
    )
    ,
    (
    −
    6
    )
    )
  • (
    6
    ,
    8
    )
  • (
    7
    ,
    3
    )
  • (
    (
    −
    6
    )
    ,
    (
    −
    8
    )
    )
Question 5
5.
    • Solve :
    •  
       
      (
      5
      x
      +
      2
      		)
      		  +  
       
       
      (
      −
      3
      x
      −
      3
      		)
      =
       
       
      (
      x
      +
      1
      		)
       
       
      9
  • 10
    17
  • 2
    3
  • 12
    17
  • 8
    17
  • 10
    19
Question 6
6.
    • Which of the following equations is the same as
    • (
      2
      x
      +
      6
      		)
      =
      (
      9
      x
      −
      6
      		)
  • (
    2
    x
    +
    1
    		)
    =
    (
    9
    x
    −
    12
    		)
  • (
    2
    x
    +
    5
    		)
    =
    (
    9
    x
    −
    11
    		)
  • (
    2
    x
    +
    1
    		)
    =
    (
    9
    x
    −
    10
    		)
  • (
    2
    x
    −
    3
    		)
    =
    (
    9
    x
    −
    11
    		)
  • (
    2
    x
    +
    1
    		)
    =
    (
    9
    x
    −
    11
    		)
Question 7
7.
    • The L.H.S of the equation
    • (
      8
      x
      −
      6
      		)
      =
      (
      3
      x
      −
      1
      		)
    • is
  • (
    8
    x
    −
    4
    		)
  • (
    7
    x
    −
    6
    		)
  • (
    8
    x
    −
    6
    		)
  • (
    8
    x
    −
    9
    		)
  • (
    3
    x
    −
    1
    		)
Question 8
8.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        8
        )
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        (
        −
        8
        )
        ,
        (
        −
        1
        )
        )
      • ,
      • (
        (
        −
        8
        )
        ,
        0
        )
      • ,
      • (
        (
        −
        8
        )
        ,
        1
        )
      • ,
      • (
        (
        −
        8
        )
        ,
        2
        )
    • ?
  • (
    9
    x
    +
    8
    y
    −
    6
    		)
    =
    0
  • x
    =
    (
    −
    8
    		)
  • y
    =
    1
  • (
    −
    15
    x
    −
    10
    y
    −
    5
    		)
    =
    0
  • x
    =
    (
    3
    2
    y
    −
    19
    2
    		)
Question 9
9.
The ratio of two numbers is
5
:
3
and their LCM is 120. Find the numbers.
  • 35
    		:
    21
  • 45
    		:
    27
  • 40
    		:
    24
  • 50
    		:
    30
  • 30
    		:
    18
Question 10
10.
    • Find the equation of a straight line parallel to x-axis and
    • passing through the point
    • (
      3
      ,
      (
      −
      9
      )
      )
  • y
    =
    (
    −
    9
    		)
  • y
    =
    (
    −
    10
    		)
  • x
    =
    3
  • y
    =
    (
    −
    7
    		)
  • x
    =
    6