ICSE Board Practice

ICSE Grade VII - Linear Equations
Question 1
1.
    • Which of the following equations is the same as
    • (
      6
      x
      8
      )
      =
      (
      4
      x
      9
      )
  • (
    6
    x
    10
    )
    =
    (
    4
    x
    8
    )
  • (
    6
    x
    4
    )
    =
    (
    4
    x
    8
    )
  • (
    6
    x
    7
    )
    =
    (
    4
    x
    4
    )
  • (
    6
    x
    7
    )
    =
    (
    4
    x
    12
    )
  • (
    6
    x
    7
    )
    =
    (
    4
    x
    8
    )
Question 2
2.
Which of the following is a linear equation in one variable?
  • (
    32
    x
    2
     
    +
    32
    x
    )
    =
    (
    9
    x
    6
    )
  • (
    8
    x
    +
    5
    y
    7
    z
    7
    )
    =
    (
    3
    x
    +
    y
    +
    9
    z
    1
    )
  • (
    x
    +
    y
    1
    )
    =
    (
    6
    x
    +
    9
    y
    7
    )
  • (
    x
    7
    )
    =
    (
    6
    x
    +
    1
    )
  • (
    18
    x
    2
     
    +
    90
    x
    y
    +
    77
    x
    72
    y
    2
     
    119
    y
    49
    )
    =
    0
Question 3
3.
    • Solve :
    •  
       
      8

       
       
      (
      x
      4
      )
         
       
       
      11

       
       
      (
      x
      9
      )
      =
         
       
       
      1

       
       
      (
      x
      9
      )
         
       
       
      2

       
       
      (
      x
      +
      8
      )
  • (
    -92

    37
    )
  • (
    -88

    35
    )
  • (
    -94

    37
    )
  • (
    -32

    13
    )
  • (
    -90

    37
    )
Question 4
4.
    • Which of the following equations is equivalent to
    • (
      8
      x
      3
      )
      =
      (
      5
      )
  • (
    8
    x
    )
    =
    (
    2
    )
  • (
    8
    x
    )
    =
    0
  • (
    8
    x
    )
    =
    (
    5
    )
  • (
    8
    x
    )
    =
    1
  • (
    8
    x
    )
    =
    (
    4
    )
Question 5
5.
    • Solve :
    •  
       
      (
      x
      +
      4
      )

       
       
      2
        +  
       
       
      (
      x
      5
      )

       
       
      14
      =
       
       
      (
      x
      +
      1
      )
  • 1

    2
  • 7

    20
  • 11

    20
  • 9

    22
  • 9

    20
Question 6
6.
    • Which of the following equations is the same as
    • (
      6
      x
      +
      3
      )
      =
      (
      8
      x
      5
      )
  • (
    9
    x
    +
    2
    )
    =
    (
    5
    x
    4
    )
  • (
    3
    x
    +
    4
    )
    =
    (
    11
    x
    6
    )
  • (
    11
    x
    +
    1
    )
    =
    (
    3
    x
    3
    )
  • (
    x
    +
    5
    )
    =
    (
    13
    x
    7
    )
  • (
    11
    x
    +
    1
    )
    =
    (
    13
    x
    7
    )
Question 7
7.
    • Which of the following equations is not the same as
    • (
      x
      +
      4
      )
      =
      0
  • (
    2
    x
    +
    3
    )
    =
    (
    3
    x
    1
    )
  • 6
    x
    =
    (
    5
    x
    4
    )
  • (
    4
    x
    +
    5
    )
    =
    (
    3
    x
    +
    1
    )
  • (
    4
    x
    +
    8
    )
    =
    (
    5
    x
    +
    4
    )
  • (
    4
    x
    +
    5
    )
    =
    (
    3
    x
    1
    )
Question 8
8.
    • Solve :
    •  
       
      (
      5
      x
      3
      )
        +  
       
       
      (
      x
      +
      4
      )

       
       
      4
      =
       
       
      (
      4
      x
      2
      )
  • 1
  • -1
  • 3
  • 0
  • -3
Question 9
9.
    • Solve :
    •  
       
      (
      5
      x
      +
      4
      )
        +  
       
       
      3
      x

       
       
      2
      =
       
       
      (
      2
      x
      2
      )

       
       
      8
  • (
    -17

    29
    )
  • (
    -17

    25
    )
  • (
    -19

    27
    )
  • (
    -17

    27
    )
  • (
    -5

    9
    )
Question 10
10.
    • Which of the following equations is the same as
    • (
      2
      x
      +
      5
      )
      =
      0
  • (
    2
    x
    +
    10
    )
    =
    3
  • (
    2
    x
    +
    6
    )
    =
    3
  • (
    2
    x
    +
    8
    )
    =
    4
  • (
    2
    x
    +
    8
    )
    =
    2
  • (
    2
    x
    +
    8
    )
    =
    3