EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equations
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
    • Which of the following equations is not the same as
    • (
      x
      2
      )
      =
      (
      5
      )
  • (i)
    (
    x
    5
    )
    =
    (
    2
    x
    2
    )
  • (ii)
    0
    =
    (
    x
    3
    )
  • (iii)
    (
    2
    x
    4
    )
    =
    (
    x
    7
    )
  • (iv)
    (
    x
    5
    )
    =
    (
    2
    x
    8
    )
  • (v)
    (
    3
    x
    +
    1
    )
    =
    (
    2
    x
    2
    )
Question 2
2.
    • Which of the following equations is not equivalent to
    • (
      5
      x
      7
      )
      =
      0
  • (i)
    (
    10
    x
    )
    =
    14
  • (ii)
    (
    5
    x
    )
    =
    7
  • (iii)
    (
    15
    x
    )
    =
    21
  • (iv)
    15
    x
    =
    (
    21
    )
  • (v)
    (
    5
    x
    )
    =
    3
Question 3
3.
    • Solve the equation
    • (
      2
      x
      5
      )
      =
      (
      7
      x
      +
      6
      )
  • (i)
    (
    -9

    5
    )
  • (ii)
    (
    -7

    3
    )
  • (iii)
    (
    -13

    5
    )
  • (iv)
    (
    -15

    7
    )
  • (v)
    (
    -11

    5
    )
Question 4
4.
    • Solve :
    •  
       
      7

       
       
      (
      5
      x
      +
      2
      )
        +  
       
       
      8

       
       
      (
      5
      x
      2
      )
      =
       
       
      15

       
       
      5
      x
  • (i)
    -3
  • (ii)
    -6
  • (iii)
    -5
  • (iv)
    -7
  • (v)
    -9
Question 5
5.
    • Which of the following equations is the same as
    • (
      x
      +
      3
      )
      =
      0
  • (i)
    3
    =
    x
  • (ii)
    (
    10
    x
    5
    )
    =
    (
    9
    x
    +
    8
    )
  • (iii)
    (
    2
    x
    +
    3
    )
    =
    (
    x
    )
  • (iv)
    (
    8
    x
    +
    11
    )
    =
    (
    9
    x
    8
    )
  • (v)
    (
    10
    x
    5
    )
    =
    (
    9
    x
    8
    )
Question 6
6.
    • Solve the equation
    • (
      7

      4
      x
      +
      8

      3
      )
      =
      3

      2
  • (i)
    2

    3
  • (ii)
    2
  • (iii)
    0
  • (iv)
    4

    3
  • (v)
    2

    5
Question 7
7.
    • Solve the equation
    • (
      5
      x
      )
      =
      (
      5
      )
  • (i)
    -2
  • (ii)
    2
  • (iii)
    0
  • (iv)
    1
  • (v)
    4
Question 8
8.
    • Solve the equation
    • (
      2
      x
      +
      2
      )
      =
      0
  • (i)
    0
  • (ii)
    -1
  • (iii)
    -3
  • (iv)
    -2
  • (v)
    1
Question 9
9.
    • Solve :
    •  
       
      (
      3
      x
      )
        +  
       
       
      (
      2
      x
      +
      2
      )

       
       
      7
      =
       
       
      (
      3
      x
      )
  • (i)
    -1
  • (ii)
    -2
  • (iii)
    0
  • (iv)
    -4
  • (v)
    1
Question 10
10.
    • Solve :
    •  
       
      6

       
       
      (
      7
      x
      9
      )
      =
       
       
      (
      3
      )

       
       
      (
      7
      x
      6
      )
  • (i)
    2
  • (ii)
    -2
  • (iii)
    -3
  • (iv)
    -1
  • (v)
    0
Question 11
11.
    • Which of the following equations is not equivalent to
    • (
      8
      x
      +
      4
      )
      =
      (
      9
      )
  • (i)
    (
    16
    x
    )
    =
    (
    26
    )
  • (ii)
    40
    x
    =
    65
  • (iii)
    (
    8
    x
    )
    =
    (
    15
    )
  • (iv)
    (
    8
    x
    )
    =
    (
    13
    )
  • (v)
    (
    24
    x
    )
    =
    (
    39
    )
Question 12
12.
    • The R.H.S of the equation
    • (
      2
      x
      4
      )
      =
      8
    • is
  • (i)
    (
    2
    x
    4
    )
  • (ii)
    6
  • (iii)
    7
  • (iv)
    8
  • (v)
    11
Question 13
13.
    • Solve :
    •  
       
      (
      x
      +
      5
      )
        +  
       
       
      x

       
       
      5
      =
       
       
      (
      x
      +
      5
      )
  • (i)
    0
  • (ii)
    2
  • (iii)
    -1
  • (iv)
    1
  • (v)
    -2
Question 14
14.
    • Solve the equation
    • (
      7

      3
      x
      5

      4
      )
      =
      0
  • (i)
    (
    -13

    28
    )
  • (ii)
    (
    -15

    26
    )
  • (iii)
    (
    -15

    28
    )
  • (iv)
    (
    -1

    2
    )
  • (v)
    (
    -17

    28
    )
Question 15
15.
    • Which of the following equations is not equivalent to
    • (
      3
      x
      6
      )
      =
      (
      8
      x
      2
      )
  • (i)
    (
    55
    x
    )
    =
    20
  • (ii)
    (
    11
    x
    )
    =
    4
  • (iii)
    (
    11
    x
    )
    =
    8
  • (iv)
    22
    x
    =
    (
    8
    )
  • (v)
    44
    x
    =
    (
    16
    )
Question 16
16.
    • Solve :
    •  
       
      (
      5
      x
      +
      4
      )

       
       
      4
        +  
       
       
      (
      5
      x
      +
      1
      )

       
       
      8
      =
       
       
      (
      3
      x
      4
      )

       
       
      8
  • (i)
    11

    2
  • (ii)
    25

    4
  • (iii)
    15

    2
  • (iv)
    13

    2
  • (v)
    7
Question 17
17.
    • Which of the following equations is the same as
    • (
      8
      x
      4
      )
      =
      0
  • (i)
    (
    9
    x
    3
    )
    =
    (
    x
    1
    )
  • (ii)
    (
    7
    x
    5
    )
    =
    (
    x
    +
    1
    )
  • (iii)
    (
    15
    x
    +
    4
    )
    =
    (
    7
    x
    8
    )
  • (iv)
    (
    9
    x
    3
    )
    =
    (
    x
    +
    1
    )
  • (v)
    (
    x
    12
    )
    =
    (
    7
    x
    +
    8
    )
Question 18
18.
    • Which of the following equations is not the same as
    • (
      3
      x
      2
      )
      =
      (
      3
      x
      7
      )
  • (i)
    (
    15
    x
    10
    )
    =
    (
    15
    x
    35
    )
  • (ii)
    (
    9
    x
    +
    6
    )
    =
    (
    3
    x
    10
    )
  • (iii)
    (
    3
    x
    +
    2
    )
    =
    (
    3
    x
    +
    7
    )
  • (iv)
    (
    6
    x
    +
    4
    )
    =
    (
    6
    x
    +
    14
    )
  • (v)
    (
    12
    x
    +
    8
    )
    =
    (
    12
    x
    +
    28
    )
Question 19
19.
    • Which of the following equations is not the same as
    • (
      x
      2
      )
      =
      (
      4
      )
  • (i)
    (
    4
    x
    6
    )
    =
    (
    3
    x
    8
    )
  • (ii)
    (
    2
    x
    +
    2
    )
    =
    (
    3
    x
    8
    )
  • (iii)
    (
    3
    x
    +
    1
    )
    =
    (
    2
    x
    1
    )
  • (iv)
    (
    2
    x
    +
    2
    )
    =
    (
    3
    x
    )
  • (v)
    (
    x
    5
    )
    =
    (
    2
    x
    7
    )
Question 20
20.
    • Which of the following equations is not the same as
    • (
      7
      x
      +
      3
      )
      =
      0
  • (i)
    (
    10
    x
    +
    8
    )
    =
    (
    3
    x
    5
    )
  • (ii)
    (
    4
    x
    2
    )
    =
    (
    3
    x
    5
    )
  • (iii)
    (
    10
    x
    +
    8
    )
    =
    (
    3
    x
    +
    5
    )
  • (iv)
    (
    8
    x
    +
    5
    )
    =
    (
    x
    +
    2
    )
  • (v)
    (
    6
    x
    +
    1
    )
    =
    (
    x
    2
    )
Question 21
21.
    • Solve :
    •  
       
      (
      5
      x
      3
      )

       
       
      8
        +  
       
       
      (
      4
      x
      +
      1
      )
      =
       
       
      (
      4
      x
      +
      1
      )

       
       
      2
  • (i)
    (
    -1

    55
    )
  • (ii)
    (
    -3

    53
    )
  • (iii)
    (
    -1

    53
    )
  • (iv)
    1

    53
  • (v)
    (
    -1

    51
    )
Question 22
22.
    • Which of the following equations is not the same as
    • (
      2
      x
      +
      2
      )
      =
      (
      3
      x
      9
      )
  • (i)
    (
    2
    x
    +
    3
    )
    =
    (
    3
    x
    8
    )
  • (ii)
    (
    2
    x
    +
    4
    )
    =
    (
    3
    x
    11
    )
  • (iii)
    (
    2
    x
    1
    )
    =
    (
    3
    x
    12
    )
  • (iv)
    (
    2
    x
    +
    5
    )
    =
    (
    3
    x
    6
    )
  • (v)
    (
    2
    x
    +
    1
    )
    =
    (
    3
    x
    10
    )
Question 23
23.
    • Solve :
    •  
       
      (
      x
      5
      )

       
       
      4
        +  
       
       
      (
      x
      3
      )

       
       
      12
      =
       
       
      (
      x
      1
      )
  • (i)
    5

    4
  • (ii)
    1

    2
  • (iii)
    3

    4
  • (iv)
    1

    4
  • (v)
    3

    2
Question 24
24.
    • Which of the following equations is the same as
    • (
      2
      x
      )
      =
      (
      5
      x
      7
      )
  • (i)
    (
    2
    x
    3
    )
    =
    (
    5
    x
    10
    )
  • (ii)
    (
    2
    x
    3
    )
    =
    (
    5
    x
    5
    )
  • (iii)
    (
    2
    x
    2
    )
    =
    (
    5
    x
    10
    )
  • (iv)
    (
    2
    x
    3
    )
    =
    (
    5
    x
    15
    )
  • (v)
    (
    2
    x
    4
    )
    =
    (
    5
    x
    10
    )
Question 25
25.
    • Which of the following equations is the same as
    • (
      6
      x
      +
      2
      )
      =
      (
      2
      x
      4
      )
  • (i)
    (
    6
    x
    +
    6
    )
    =
    (
    2
    x
    2
    )
  • (ii)
    (
    6
    x
    +
    6
    )
    =
    (
    2
    x
    )
  • (iii)
    (
    6
    x
    +
    6
    )
    =
    (
    2
    x
    +
    2
    )
  • (iv)
    (
    6
    x
    +
    11
    )
    =
    (
    2
    x
    )
  • (v)
    (
    6
    x
    +
    1
    )
    =
    (
    2
    x
    )
    Assignment Key

  •  1) (i)
  •  2) (v)
  •  3) (v)
  •  4) (ii)
  •  5) (v)
  •  6) (i)
  •  7) (iv)
  •  8) (ii)
  •  9) (i)
  •  10) (iv)
  •  11) (iii)
  •  12) (iv)
  •  13) (i)
  •  14) (iii)
  •  15) (iii)
  •  16) (iv)
  •  17) (iv)
  •  18) (ii)
  •  19) (ii)
  •  20) (i)
  •  21) (iii)
  •  22) (ii)
  •  23) (iii)
  •  24) (i)
  •  25) (ii)