EduSahara™ Assignment
Name : Linear Equations
Chapter : Linear Equations and Simultaneous Linear Equations
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
Which of the following is a linear equation in one variable?
  • (i)
    (
    x
    −
    1
    		)
    =
    0
  • (ii)
    (
    −
    16
    x
    2
     
    +
    28
    x
    +
    8
    		)
    =
    0
  • (iii)
    (
    3
    x
    −
    y
    +
    2
    z
    −
    6
    		)
    =
    0
  • (iv)
    (
    6
    x
    −
    7
    y
    −
    7
    		)
    =
    0
  • (v)
    (
    30
    x
    2
     
    +
    45
    x
    y
    −
    25
    x
    +
    15
    y
    2
     
    −
    10
    y
    −
    5
    		)
    =
    0
Question 2
2.
Which of the following is a linear equation in two variable?
  • (i)
    (
    8
    x
    2
     
    −
    33
    x
    y
    +
    40
    x
    −
    35
    y
    2
     
    +
    82
    y
    −
    48
    		)
    =
    0
  • (ii)
    (
    −
    24
    x
    2
     
    −
    54
    x
    −
    21
    		)
    =
    0
  • (iii)
    (
    2
    x
    +
    3
    		)
    =
    0
  • (iv)
    (
    −
    8
    x
    +
    6
    y
    −
    6
    z
    −
    5
    		)
    =
    0
  • (v)
    (
    −
    2
    x
    +
    2
    y
    +
    5
    		)
    =
    0
Question 3
3.
Which of the following is a linear equation in three variable?
  • (i)
    (
    −
    2
    x
    +
    3
    y
    +
    8
    z
    −
    8
    		)
    =
    0
  • (ii)
    (
    −
    8
    x
    −
    9
    y
    −
    9
    		)
    =
    0
  • (iii)
    (
    −
    x
    +
    1
    		)
    =
    0
  • (iv)
    (
    −
    35
    x
    2
     
    −
    12
    x
    +
    36
    		)
    =
    0
  • (v)
    (
    42
    x
    2
     
    −
    69
    x
    y
    −
    12
    x
    +
    24
    y
    2
     
    −
    21
    y
    −
    54
    		)
    =
    0
Question 4
4.
Which of the following is a linear equation in one variable?
  • (i)
    (
    −
    8
    x
    +
    8
    y
    −
    3
    		)
    =
    (
    6
    x
    +
    y
    −
    2
    		)
  • (ii)
    (
    −
    7
    x
    +
    7
    		)
    =
    (
    −
    8
    x
    −
    7
    		)
  • (iii)
    (
    −
    5
    x
    +
    6
    y
    −
    z
    −
    5
    		)
    =
    (
    −
    3
    x
    +
    3
    y
    −
    4
    z
    −
    7
    		)
  • (iv)
    (
    −
    12
    x
    2
     
    +
    18
    x
    +
    54
    		)
    =
    (
    3
    x
    −
    4
    		)
  • (v)
    (
    42
    x
    2
     
    −
    31
    x
    y
    +
    25
    x
    +
    4
    y
    2
     
    −
    7
    y
    +
    3
    		)
    =
    0
Question 5
5.
Which of the following is a linear equation in two variable?
  • (i)
    (
    −
    72
    x
    2
     
    +
    153
    x
    −
    81
    		)
    =
    (
    5
    x
    +
    2
    		)
  • (ii)
    (
    3
    x
    −
    6
    y
    +
    3
    		)
    =
    (
    8
    x
    −
    7
    y
    +
    3
    		)
  • (iii)
    (
    35
    x
    2
     
    +
    15
    x
    y
    −
    80
    x
    −
    20
    y
    2
     
    −
    25
    y
    +
    45
    		)
    =
    0
  • (iv)
    (
    8
    x
    +
    4
    		)
    =
    (
    −
    4
    x
    −
    9
    		)
  • (v)
    (
    3
    x
    −
    7
    y
    +
    9
    z
    −
    9
    		)
    =
    (
    −
    7
    x
    −
    2
    y
    −
    3
    z
    −
    6
    		)
Question 6
6.
Which of the following is a linear equation in three variable?
  • (i)
    (
    −
    9
    x
    +
    9
    y
    +
    9
    z
    +
    8
    		)
    =
    (
    5
    x
    +
    y
    +
    7
    z
    −
    6
    		)
  • (ii)
    (
    40
    x
    2
     
    +
    38
    x
    −
    12
    		)
    =
    (
    −
    3
    x
    −
    5
    		)
  • (iii)
    (
    −
    4
    x
    +
    4
    		)
    =
    (
    6
    x
    +
    5
    		)
  • (iv)
    (
    4
    x
    2
     
    +
    45
    x
    y
    −
    32
    x
    +
    81
    y
    2
     
    −
    45
    y
    −
    36
    		)
    =
    0
  • (v)
    (
    5
    x
    +
    4
    y
    +
    6
    		)
    =
    (
    −
    7
    x
    +
    6
    y
    +
    9
    		)
Question 7
7.
    • The linear equation
    • (
      2
      x
      +
      8
      		)
      =
      (
      −
      6
      x
      −
      2
      		)
    • is equivalent to
  • (i)
    (
    8
    x
    +
    10
    		)
    =
    0
  • (ii)
    (
    2
    x
    +
    8
    		)
    =
    (
    −
    6
    x
    +
    1
    		)
  • (iii)
    (
    7
    x
    +
    10
    		)
    =
    0
  • (iv)
    (
    9
    x
    +
    10
    		)
    =
    0
  • (v)
    (
    2
    x
    +
    8
    		)
    =
    (
    −
    6
    x
    −
    5
    		)
Question 8
8.
    • The value of
    • x
    • in terms of other variables and constant in
    • 2
      x
      =
      (
      5
      x
      +
      2
      		)
    • is
  • (i)
    x
    =
    (
    −
    2
    5
    		)
  • (ii)
    x
    =
    (
    −
    2
    		)
  • (iii)
    x
    =
    0
  • (iv)
    x
    =
    (
    −
    4
    3
    		)
  • (v)
    x
    =
    (
    −
    2
    3
    		)
Question 9
9.
    • The L.H.S of the equation
    • (
      2
      x
      −
      1
      		)
      =
      0
    • is
  • (i)
    (
    2
    x
    +
    1
    		)
  • (ii)
    0
  • (iii)
    (
    2
    x
    −
    1
    		)
  • (iv)
    (
    2
    x
    −
    4
    		)
  • (v)
    (
    x
    −
    1
    		)
Question 10
10.
    • The R.H.S of the equation
    • (
      9
      x
      −
      8
      		)
      =
      0
    • is
  • (i)
    3
  • (ii)
    0
  • (iii)
    (
    9
    x
    −
    8
    		)
  • (iv)
    (
    −
    3
    		)
  • (v)
    (
    −
    1
    		)
Question 11
11.
    • The L.H.S of the equation
    • (
      x
      −
      6
      		)
      =
      0
    • is
  • (i)
    0
  • (ii)
    (
    x
    −
    6
    		)
  • (iii)
    (
    x
    −
    9
    		)
  • (iv)
    (
    −
    6
    		)
  • (v)
    (
    x
    −
    3
    		)
Question 12
12.
    • The R.H.S of the equation
    • (
      4
      x
      −
      6
      		)
      =
      8
    • is
  • (i)
    5
  • (ii)
    8
  • (iii)
    7
  • (iv)
    (
    4
    x
    −
    6
    		)
  • (v)
    11
Question 13
13.
    • The L.H.S of the equation
    • (
      −
      2
      x
      +
      3
      		)
      =
      (
      x
      +
      9
      		)
    • is
  • (i)
    (
    −
    3
    x
    +
    3
    		)
  • (ii)
    (
    −
    2
    x
    +
    3
    		)
  • (iii)
    (
    −
    2
    x
    +
    6
    		)
  • (iv)
    (
    x
    +
    9
    		)
  • (v)
    (
    −
    2
    x
    +
    1
    		)
Question 14
14.
    • The R.H.S of the equation
    • (
      7
      x
      −
      3
      		)
      =
      (
      4
      x
      −
      5
      		)
    • is
  • (i)
    (
    4
    x
    −
    8
    		)
  • (ii)
    (
    4
    x
    −
    5
    		)
  • (iii)
    (
    7
    x
    −
    3
    		)
  • (iv)
    (
    3
    x
    −
    5
    		)
  • (v)
    (
    4
    x
    −
    2
    		)
Question 15
15.
    • The additive inverse of the expression
    • (
      3
      x
      +
      1
      		)
    • is
  • (i)
    (
    −
    3
    x
    +
    1
    		)
  • (ii)
    (
    3
    x
    +
    1
    		)
  • (iii)
    (
    −
    3
    x
    −
    4
    		)
  • (iv)
    (
    −
    4
    x
    −
    1
    		)
  • (v)
    (
    −
    3
    x
    −
    1
    		)
Question 16
16.
    • The additive inverse of the expression
    • 6
    • is
  • (i)
    (
    −
    6
    		)
  • (ii)
    (
    −
    7
    		)
  • (iii)
    (
    −
    3
    		)
  • (iv)
    6
  • (v)
    (
    −
    9
    		)
Question 17
17.
    • Solve the equation
    • (
      x
      −
      6
      		)
      =
      0
  • (i)
    6
  • (ii)
    8
  • (iii)
    5
  • (iv)
    4
  • (v)
    7
Question 18
18.
    • Solve the equation
    • (
      −
      6
      x
      		)
      =
      6
  • (i)
    -1
  • (ii)
    1
  • (iii)
    0
  • (iv)
    -4
  • (v)
    -2
Question 19
19.
    • Solve the equation
    • (
      8
      x
      −
      6
      		)
      =
      0
  • (i)
    5
    4
  • (ii)
    3
    4
  • (iii)
    1
    2
  • (iv)
    1
    4
  • (v)
    3
    2
Question 20
20.
    • Solve the equation
    • (
      −
      4
      5
      x
      +
      9
      8
      		)
      =
      0
  • (i)
    47
    32
  • (ii)
    47
    34
  • (iii)
    43
    32
  • (iv)
    43
    30
  • (v)
    45
    32
Question 21
21.
    • Solve the equation
    • (
      3
      x
      +
      6
      		)
      =
      9
  • (i)
    -1
  • (ii)
    0
  • (iii)
    4
  • (iv)
    1
  • (v)
    2
Question 22
22.
    • Solve the equation
    • (
      7
      3
      x
      −
      5
      		)
      =
      8
  • (i)
    39
    7
  • (ii)
    49
    9
  • (iii)
    29
    5
  • (iv)
    41
    7
  • (v)
    37
    7
Question 23
23.
    • Solve the equation
    • (
      6
      x
      +
      9
      		)
      =
      (
      −
      6
      x
      +
      1
      		)
  • (i)
    (
    -2
    3
    		 )
  • (ii)
    (
    -2
    5
    		 )
  • (iii)
    0
  • (iv)
    (
    -4
    3
    		 )
  • (v)
    -2
Question 24
24.
    • Solve the equation
    • (
      −
      6
      x
      +
      5
      3
      		)
      =
      (
      −
      3
      8
      x
      +
      9
      7
      		)
  • (i)
    64
    943
  • (ii)
    64
    945
  • (iii)
    22
    315
  • (iv)
    64
    947
  • (v)
    62
    945
Question 25
25.
    • The linear equation
    • (
      5
      x
      −
      2
      y
      −
      7
      		)
      =
      (
      3
      x
      +
      2
      y
      +
      2
      		)
    • is equivalent to
  • (i)
    (
    3
    x
    −
    4
    y
    −
    9
    		)
    =
    0
  • (ii)
    (
    5
    x
    −
    2
    y
    −
    7
    		)
    =
    (
    3
    x
    −
    y
    +
    2
    		)
  • (iii)
    (
    x
    −
    4
    y
    −
    9
    		)
    =
    0
  • (iv)
    (
    2
    x
    −
    4
    y
    −
    9
    		)
    =
    0
  • (v)
    (
    5
    x
    −
    2
    y
    −
    7
    		)
    =
    (
    3
    x
    +
    4
    y
    +
    2
    		)
    Assignment Key
  •  1) (i)
  •  2) (v)
  •  3) (i)
  •  4) (ii)
  •  5) (ii)
  •  6) (i)
  •  7) (i)
  •  8) (v)
  •  9) (iii)
  •  10) (ii)
  •  11) (ii)
  •  12) (ii)
  •  13) (ii)
  •  14) (ii)
  •  15) (v)
  •  16) (i)
  •  17) (i)
  •  18) (i)
  •  19) (ii)
  •  20) (v)
  •  21) (iv)
  •  22) (i)
  •  23) (i)
  •  24) (ii)
  •  25) (iv)