EduSahara™ Assignment
Name : Equivalence of Linear Equations
Chapter : Linear Equations and Simultaneous Linear Equations
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
    • Which of the following equations is the same as
    • (
      4
      x
      +
      6
      		)
      =
      0
  • (i)
    (
    4
    x
    +
    11
    		)
    =
    3
  • (ii)
    (
    4
    x
    +
    15
    		)
    =
    5
  • (iii)
    (
    4
    x
    +
    11
    		)
    =
    5
  • (iv)
    (
    4
    x
    +
    7
    		)
    =
    5
  • (v)
    (
    4
    x
    +
    11
    		)
    =
    7
Question 2
2.
    • Which of the following equations is the same as
    • (
      3
      x
      +
      6
      		)
      =
      0
  • (i)
    (
    3
    x
    +
    1
    		)
    =
    (
    −
    4
    		)
  • (ii)
    (
    3
    x
    +
    2
    		)
    =
    (
    −
    4
    		)
  • (iii)
    (
    3
    x
    +
    2
    		)
    =
    (
    −
    7
    		)
  • (iv)
    (
    3
    x
    +
    3
    		)
    =
    (
    −
    4
    		)
  • (v)
    (
    3
    x
    +
    2
    		)
    =
    (
    −
    1
    		)
Question 3
3.
    • Which of the following equations is the same as
    • (
      6
      x
      +
      5
      		)
      =
      0
  • (i)
    (
    −
    12
    x
    −
    14
    		)
    =
    0
  • (ii)
    (
    −
    12
    x
    −
    10
    		)
    =
    0
  • (iii)
    (
    −
    12
    x
    −
    10
    		)
    =
    (
    −
    5
    		)
  • (iv)
    (
    −
    12
    x
    −
    6
    		)
    =
    0
  • (v)
    (
    −
    12
    x
    −
    10
    		)
    =
    5
Question 4
4.
    • Which of the following equations is the same as
    • (
      5
      x
      +
      9
      		)
      =
      (
      −
      7
      		)
  • (i)
    (
    5
    x
    +
    10
    		)
    =
    (
    −
    10
    		)
  • (ii)
    (
    5
    x
    +
    5
    		)
    =
    (
    −
    6
    		)
  • (iii)
    (
    5
    x
    +
    10
    		)
    =
    (
    −
    6
    		)
  • (iv)
    (
    5
    x
    +
    15
    		)
    =
    (
    −
    6
    		)
  • (v)
    (
    5
    x
    +
    10
    		)
    =
    (
    −
    2
    		)
Question 5
5.
    • Which of the following equations is the same as
    • (
      7
      x
      −
      8
      		)
      =
      8
  • (i)
    (
    7
    x
    −
    9
    		)
    =
    3
  • (ii)
    (
    7
    x
    −
    13
    		)
    =
    3
  • (iii)
    (
    7
    x
    −
    13
    		)
    =
    4
  • (iv)
    (
    7
    x
    −
    13
    		)
    =
    2
  • (v)
    (
    7
    x
    −
    17
    		)
    =
    3
Question 6
6.
    • Which of the following equations is the same as
    • (
      −
      8
      x
      +
      3
      		)
      =
      (
      −
      8
      		)
  • (i)
    (
    −
    40
    x
    +
    17
    		)
    =
    (
    −
    40
    		)
  • (ii)
    (
    −
    40
    x
    +
    15
    		)
    =
    (
    −
    36
    		)
  • (iii)
    (
    −
    40
    x
    +
    15
    		)
    =
    (
    −
    40
    		)
  • (iv)
    (
    −
    40
    x
    +
    13
    		)
    =
    (
    −
    40
    		)
  • (v)
    (
    −
    40
    x
    +
    15
    		)
    =
    (
    −
    44
    		)
Question 7
7.
    • Which of the following equations is the same as
    • 9
      x
      =
      (
      −
      8
      x
      +
      7
      		)
  • (i)
    (
    9
    x
    −
    3
    		)
    =
    (
    −
    8
    x
    +
    9
    		)
  • (ii)
    (
    9
    x
    +
    2
    		)
    =
    (
    −
    8
    x
    +
    5
    		)
  • (iii)
    (
    9
    x
    +
    2
    		)
    =
    (
    −
    8
    x
    +
    9
    		)
  • (iv)
    (
    9
    x
    +
    7
    		)
    =
    (
    −
    8
    x
    +
    9
    		)
  • (v)
    (
    9
    x
    +
    2
    		)
    =
    (
    −
    8
    x
    +
    13
    		)
Question 8
8.
    • Which of the following equations is the same as
    • (
      −
      4
      x
      −
      6
      		)
      =
      (
      −
      7
      x
      +
      1
      		)
  • (i)
    (
    −
    4
    x
    −
    14
    		)
    =
    (
    −
    7
    x
    −
    2
    		)
  • (ii)
    (
    −
    4
    x
    −
    9
    		)
    =
    (
    −
    7
    x
    		)
  • (iii)
    (
    −
    4
    x
    −
    9
    		)
    =
    (
    −
    7
    x
    −
    4
    		)
  • (iv)
    (
    −
    4
    x
    −
    4
    		)
    =
    (
    −
    7
    x
    −
    2
    		)
  • (v)
    (
    −
    4
    x
    −
    9
    		)
    =
    (
    −
    7
    x
    −
    2
    		)
Question 9
9.
    • Which of the following equations is the same as
    • (
      8
      x
      +
      5
      		)
      =
      (
      4
      x
      −
      2
      		)
  • (i)
    (
    −
    40
    x
    −
    25
    		)
    =
    (
    −
    20
    x
    +
    11
    		)
  • (ii)
    (
    −
    40
    x
    −
    22
    		)
    =
    (
    −
    20
    x
    +
    10
    		)
  • (iii)
    (
    −
    40
    x
    −
    25
    		)
    =
    (
    −
    20
    x
    +
    9
    		)
  • (iv)
    (
    −
    40
    x
    −
    28
    		)
    =
    (
    −
    20
    x
    +
    10
    		)
  • (v)
    (
    −
    40
    x
    −
    25
    		)
    =
    (
    −
    20
    x
    +
    10
    		)
Question 10
10.
    • Which of the following equations is not the same as
    • (
      −
      3
      x
      +
      3
      		)
      =
      0
  • (i)
    (
    −
    3
    x
    −
    2
    		)
    =
    (
    −
    5
    		)
  • (ii)
    (
    −
    3
    x
    +
    4
    		)
    =
    (
    −
    1
    		)
  • (iii)
    (
    −
    3
    x
    −
    1
    		)
    =
    (
    −
    4
    		)
  • (iv)
    (
    −
    3
    x
    +
    8
    		)
    =
    5
  • (v)
    (
    −
    3
    x
    +
    7
    		)
    =
    4
Question 11
11.
    • Which of the following equations is not the same as
    • (
      x
      +
      5
      		)
      =
      0
  • (i)
    (
    x
    +
    8
    		)
    =
    3
  • (ii)
    (
    x
    +
    3
    		)
    =
    (
    −
    2
    		)
  • (iii)
    (
    x
    +
    7
    		)
    =
    2
  • (iv)
    (
    x
    +
    1
    		)
    =
    4
  • (v)
    (
    x
    +
    2
    		)
    =
    (
    −
    3
    		)
Question 12
12.
    • Which of the following equations is not the same as
    • (
      −
      8
      x
      		)
      =
      0
  • (i)
    32
    x
    =
    0
  • (ii)
    16
    x
    =
    0
  • (iii)
    8
    x
    =
    0
  • (iv)
    40
    x
    =
    (
    −
    5
    		)
  • (v)
    24
    x
    =
    0
Question 13
13.
    • Which of the following equations is not the same as
    • (
      8
      x
      −
      8
      		)
      =
      6
  • (i)
    (
    8
    x
    −
    7
    		)
    =
    7
  • (ii)
    (
    8
    x
    −
    4
    		)
    =
    2
  • (iii)
    (
    8
    x
    −
    5
    		)
    =
    9
  • (iv)
    (
    8
    x
    −
    9
    		)
    =
    5
  • (v)
    (
    8
    x
    −
    11
    		)
    =
    3
Question 14
14.
    • Which of the following equations is not the same as
    • (
      −
      4
      x
      +
      1
      		)
      =
      (
      −
      1
      		)
  • (i)
    (
    −
    4
    x
    		)
    =
    (
    −
    2
    		)
  • (ii)
    (
    −
    4
    x
    −
    1
    		)
    =
    (
    −
    3
    		)
  • (iii)
    (
    −
    4
    x
    +
    3
    		)
    =
    1
  • (iv)
    (
    −
    4
    x
    −
    3
    		)
    =
    3
  • (v)
    (
    −
    4
    x
    +
    2
    		)
    =
    0
Question 15
15.
    • Which of the following equations is not the same as
    • (
      7
      x
      +
      2
      		)
      =
      5
  • (i)
    (
    14
    x
    +
    4
    		)
    =
    7
  • (ii)
    (
    −
    21
    x
    −
    6
    		)
    =
    (
    −
    15
    		)
  • (iii)
    (
    −
    14
    x
    −
    4
    		)
    =
    (
    −
    10
    		)
  • (iv)
    (
    −
    7
    x
    −
    2
    		)
    =
    (
    −
    5
    		)
  • (v)
    (
    35
    x
    +
    10
    		)
    =
    25
Question 16
16.
    • Which of the following equations is not the same as
    • (
      −
      5
      x
      +
      6
      		)
      =
      (
      −
      9
      x
      +
      6
      		)
  • (i)
    (
    −
    5
    x
    +
    9
    		)
    =
    (
    −
    9
    x
    +
    9
    		)
  • (ii)
    (
    −
    5
    x
    +
    11
    		)
    =
    (
    −
    9
    x
    +
    1
    		)
  • (iii)
    (
    −
    5
    x
    +
    3
    		)
    =
    (
    −
    9
    x
    +
    3
    		)
  • (iv)
    (
    −
    5
    x
    +
    2
    		)
    =
    (
    −
    9
    x
    +
    2
    		)
  • (v)
    (
    −
    5
    x
    +
    10
    		)
    =
    (
    −
    9
    x
    +
    10
    		)
Question 17
17.
    • Which of the following equations is not the same as
    • (
      −
      4
      x
      +
      8
      		)
      =
      (
      −
      9
      x
      +
      7
      		)
  • (i)
    (
    −
    4
    x
    +
    13
    		)
    =
    (
    −
    9
    x
    +
    12
    		)
  • (ii)
    (
    −
    4
    x
    +
    10
    		)
    =
    (
    −
    9
    x
    +
    9
    		)
  • (iii)
    (
    −
    4
    x
    +
    6
    		)
    =
    (
    −
    9
    x
    +
    5
    		)
  • (iv)
    (
    −
    4
    x
    +
    4
    		)
    =
    (
    −
    9
    x
    +
    11
    		)
  • (v)
    (
    −
    4
    x
    +
    3
    		)
    =
    (
    −
    9
    x
    +
    2
    		)
Question 18
18.
    • Which of the following equations is not the same as
    • 6
      x
      =
      (
      x
      −
      4
      		)
  • (i)
    (
    −
    24
    x
    		)
    =
    (
    x
    −
    8
    		)
  • (ii)
    12
    x
    =
    (
    2
    x
    −
    8
    		)
  • (iii)
    (
    −
    12
    x
    		)
    =
    (
    −
    2
    x
    +
    8
    		)
  • (iv)
    18
    x
    =
    (
    3
    x
    −
    12
    		)
  • (v)
    24
    x
    =
    (
    4
    x
    −
    16
    		)
Question 19
19.
    • Which of the following equations is the same as
    • (
      7
      x
      −
      1
      		)
      =
      0
  • (i)
    (
    x
    −
    6
    		)
    =
    (
    6
    x
    +
    5
    		)
  • (ii)
    (
    9
    x
    −
    2
    		)
    =
    (
    −
    2
    x
    +
    1
    		)
  • (iii)
    5
    x
    =
    (
    2
    x
    −
    1
    		)
  • (iv)
    (
    13
    x
    +
    4
    		)
    =
    (
    −
    6
    x
    −
    5
    		)
  • (v)
    (
    9
    x
    −
    2
    		)
    =
    (
    2
    x
    −
    1
    		)
Question 20
20.
    • Which of the following equations is the same as
    • (
      x
      −
      4
      		)
      =
      0
  • (i)
    (
    9
    x
    −
    13
    		)
    =
    (
    −
    8
    x
    +
    9
    		)
  • (ii)
    6
    x
    =
    (
    −
    5
    x
    −
    4
    		)
  • (iii)
    (
    −
    4
    x
    −
    8
    		)
    =
    (
    5
    x
    +
    4
    		)
  • (iv)
    (
    −
    4
    x
    −
    8
    		)
    =
    (
    −
    5
    x
    −
    4
    		)
  • (v)
    (
    −
    7
    x
    +
    5
    		)
    =
    (
    8
    x
    −
    9
    		)
Question 21
21.
    • Which of the following equations is the same as
    • (
      −
      9
      x
      +
      9
      		)
      =
      (
      −
      4
      		)
  • (i)
    (
    −
    10
    x
    +
    8
    		)
    =
    (
    x
    −
    3
    		)
  • (ii)
    (
    −
    8
    x
    +
    10
    		)
    =
    (
    −
    x
    −
    5
    		)
  • (iii)
    (
    −
    14
    x
    		)
    =
    (
    5
    x
    +
    5
    		)
  • (iv)
    (
    −
    4
    x
    +
    18
    		)
    =
    (
    5
    x
    +
    5
    		)
  • (v)
    (
    −
    4
    x
    +
    18
    		)
    =
    (
    −
    5
    x
    −
    13
    		)
Question 22
22.
    • Which of the following equations is the same as
    • (
      8
      x
      +
      3
      		)
      =
      (
      −
      4
      		)
  • (i)
    (
    11
    x
    +
    7
    		)
    =
    (
    −
    3
    x
    −
    8
    		)
  • (ii)
    (
    5
    x
    −
    1
    		)
    =
    (
    −
    3
    x
    −
    8
    		)
  • (iii)
    (
    10
    x
    +
    2
    		)
    =
    (
    −
    2
    x
    −
    3
    		)
  • (iv)
    (
    5
    x
    −
    1
    		)
    =
    3
    x
  • (v)
    (
    6
    x
    +
    4
    		)
    =
    (
    2
    x
    −
    5
    		)
Question 23
23.
    • Which of the following equations is the same as
    • (
      2
      x
      −
      8
      		)
      =
      (
      3
      x
      +
      7
      		)
  • (i)
    (
    5
    x
    −
    7
    		)
    =
    6
  • (ii)
    (
    −
    5
    x
    −
    2
    		)
    =
    (
    10
    x
    +
    1
    		)
  • (iii)
    (
    −
    x
    −
    9
    		)
    =
    6
  • (iv)
    (
    −
    x
    −
    9
    		)
    =
    (
    6
    x
    +
    8
    		)
  • (v)
    (
    9
    x
    −
    14
    		)
    =
    (
    −
    4
    x
    +
    13
    		)
Question 24
24.
    • Which of the following equations is the same as
    • (
      x
      −
      4
      		)
      =
      (
      8
      x
      −
      8
      		)
  • (i)
    (
    −
    x
    −
    3
    		)
    =
    (
    10
    x
    −
    9
    		)
  • (ii)
    (
    −
    7
    		)
    =
    (
    9
    x
    −
    5
    		)
  • (iii)
    (
    3
    x
    −
    5
    		)
    =
    (
    6
    x
    −
    7
    		)
  • (iv)
    (
    −
    7
    		)
    =
    (
    7
    x
    −
    11
    		)
  • (v)
    (
    2
    x
    −
    1
    		)
    =
    (
    7
    x
    −
    11
    		)
Question 25
25.
    • Which of the following equations is not the same as
    • (
      2
      x
      −
      5
      		)
      =
      0
  • (i)
    (
    7
    x
    −
    4
    		)
    =
    (
    5
    x
    +
    1
    		)
  • (ii)
    (
    3
    x
    −
    6
    		)
    =
    (
    x
    −
    1
    		)
  • (iii)
    (
    3
    x
    −
    6
    		)
    =
    (
    −
    x
    +
    1
    		)
  • (iv)
    (
    −
    3
    x
    −
    6
    		)
    =
    (
    −
    5
    x
    −
    1
    		)
  • (v)
    (
    x
    −
    4
    		)
    =
    (
    −
    x
    +
    1
    		)
Question 26
26.
    • Which of the following equations is not the same as
    • (
      7
      x
      +
      9
      		)
      =
      0
  • (i)
    15
    x
    =
    (
    −
    8
    x
    +
    9
    		)
  • (ii)
    (
    12
    x
    +
    7
    		)
    =
    (
    5
    x
    −
    2
    		)
  • (iii)
    15
    x
    =
    (
    8
    x
    −
    9
    		)
  • (iv)
    (
    2
    x
    +
    11
    		)
    =
    (
    −
    5
    x
    +
    2
    		)
  • (v)
    (
    −
    x
    +
    18
    		)
    =
    (
    −
    8
    x
    +
    9
    		)
Question 27
27.
    • Which of the following equations is not the same as
    • (
      5
      x
      −
      3
      		)
      =
      (
      −
      1
      		)
  • (i)
    (
    9
    x
    −
    2
    		)
    =
    4
    x
  • (ii)
    (
    x
    −
    4
    		)
    =
    (
    −
    4
    x
    −
    2
    		)
  • (iii)
    (
    3
    x
    −
    6
    		)
    =
    (
    2
    x
    +
    2
    		)
  • (iv)
    7
    x
    =
    (
    2
    x
    +
    2
    		)
  • (v)
    (
    3
    x
    −
    6
    		)
    =
    (
    −
    2
    x
    −
    4
    		)
Question 28
28.
    • Which of the following equations is not the same as
    • (
      −
      4
      x
      −
      7
      		)
      =
      9
  • (i)
    (
    3
    x
    +
    1
    		)
    =
    (
    7
    x
    +
    17
    		)
  • (ii)
    (
    −
    5
    x
    −
    14
    		)
    =
    (
    −
    x
    +
    2
    		)
  • (iii)
    (
    −
    3
    x
    		)
    =
    (
    x
    +
    16
    		)
  • (iv)
    (
    −
    5
    x
    −
    14
    		)
    =
    (
    x
    +
    16
    		)
  • (v)
    (
    −
    11
    x
    −
    15
    		)
    =
    (
    −
    7
    x
    +
    1
    		)
Question 29
29.
    • Which of the following equations is not the same as
    • (
      −
      x
      −
      2
      		)
      =
      (
      6
      x
      +
      8
      		)
  • (i)
    (
    x
    −
    3
    		)
    =
    (
    8
    x
    +
    7
    		)
  • (ii)
    (
    2
    x
    −
    1
    		)
    =
    (
    9
    x
    +
    9
    		)
  • (iii)
    (
    x
    −
    3
    		)
    =
    (
    4
    x
    +
    9
    		)
  • (iv)
    (
    −
    4
    x
    −
    3
    		)
    =
    (
    3
    x
    +
    7
    		)
  • (v)
    (
    −
    3
    x
    −
    1
    		)
    =
    (
    4
    x
    +
    9
    		)
Question 30
30.
    • Which of the following equations is not the same as
    • (
      7
      x
      +
      6
      		)
      =
      (
      8
      x
      +
      3
      		)
  • (i)
    (
    −
    2
    x
    +
    7
    		)
    =
    (
    −
    x
    +
    4
    		)
  • (ii)
    (
    4
    x
    +
    5
    		)
    =
    (
    5
    x
    +
    2
    		)
  • (iii)
    (
    4
    x
    +
    5
    		)
    =
    (
    11
    x
    +
    4
    		)
  • (iv)
    (
    10
    x
    +
    7
    		)
    =
    (
    11
    x
    +
    4
    		)
  • (v)
    (
    16
    x
    +
    5
    		)
    =
    (
    17
    x
    +
    2
    		)
Question 31
31.
    • Which of the following equations is equivalent to
    • (
      −
      9
      x
      		)
      =
      0
  • (i)
    (
    −
    9
    x
    		)
    =
    0
  • (ii)
    (
    −
    9
    x
    		)
    =
    1
  • (iii)
    (
    −
    9
    x
    		)
    =
    (
    −
    1
    		)
Question 32
32.
    • Which of the following equations is equivalent to
    • (
      6
      x
      −
      3
      		)
      =
      (
      −
      1
      		)
  • (i)
    6
    x
    =
    5
  • (ii)
    6
    x
    =
    0
  • (iii)
    6
    x
    =
    (
    −
    1
    		)
  • (iv)
    6
    x
    =
    2
  • (v)
    6
    x
    =
    4
Question 33
33.
    • Which of the following equations is equivalent to
    • (
      −
      8
      x
      		)
      =
      (
      7
      x
      −
      4
      		)
  • (i)
    (
    −
    15
    x
    		)
    =
    (
    −
    8
    		)
  • (ii)
    (
    −
    15
    x
    		)
    =
    0
  • (iii)
    (
    −
    15
    x
    		)
    =
    (
    −
    4
    		)
Question 34
34.
    • Which of the following equations is not equivalent to
    • (
      −
      3
      x
      +
      2
      		)
      =
      0
  • (i)
    12
    x
    =
    8
  • (ii)
    (
    −
    9
    x
    		)
    =
    (
    −
    6
    		)
  • (iii)
    (
    −
    15
    x
    		)
    =
    (
    −
    10
    		)
  • (iv)
    15
    x
    =
    10
  • (v)
    (
    −
    3
    x
    		)
    =
    (
    −
    3
    		)
Question 35
35.
    • Which of the following equations is not equivalent to
    • (
      −
      4
      x
      +
      6
      		)
      =
      4
  • (i)
    (
    −
    12
    x
    		)
    =
    (
    −
    6
    		)
  • (ii)
    (
    −
    20
    x
    		)
    =
    (
    −
    10
    		)
  • (iii)
    12
    x
    =
    6
  • (iv)
    (
    −
    4
    x
    		)
    =
    (
    −
    3
    		)
  • (v)
    20
    x
    =
    10
Question 36
36.
    • Which of the following equations is not equivalent to
    • (
      −
      2
      x
      +
      8
      		)
      =
      (
      −
      3
      x
      +
      1
      		)
  • (i)
    2
    x
    =
    (
    −
    14
    		)
  • (ii)
    x
    =
    (
    −
    8
    		)
  • (iii)
    (
    −
    2
    x
    		)
    =
    14
  • (iv)
    4
    x
    =
    (
    −
    28
    		)
  • (v)
    x
    =
    (
    −
    7
    		)
    Assignment Key
  •  1) (iii)
  •  2) (ii)
  •  3) (ii)
  •  4) (iii)
  •  5) (ii)
  •  6) (iii)
  •  7) (iii)
  •  8) (v)
  •  9) (v)
  •  10) (ii)
  •  11) (iv)
  •  12) (iv)
  •  13) (ii)
  •  14) (iv)
  •  15) (i)
  •  16) (ii)
  •  17) (iv)
  •  18) (i)
  •  19) (v)
  •  20) (iv)
  •  21) (iv)
  •  22) (ii)
  •  23) (iii)
  •  24) (iv)
  •  25) (iii)
  •  26) (i)
  •  27) (iii)
  •  28) (iv)
  •  29) (iii)
  •  30) (iii)
  •  31) (i)
  •  32) (iv)
  •  33) (iii)
  •  34) (v)
  •  35) (iv)
  •  36) (ii)