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)
    (
    5
    x
    −
    4
    		)
    =
    0
  • (ii)
    (
    2
    x
    −
    6
    y
    −
    3
    z
    +
    4
    		)
    =
    0
  • (iii)
    (
    −
    5
    x
    2
     
    −
    31
    x
    y
    −
    8
    x
    −
    30
    y
    2
     
    +
    17
    y
    +
    21
    		)
    =
    0
  • (iv)
    (
    −
    7
    x
    −
    6
    y
    +
    4
    		)
    =
    0
  • (v)
    (
    −
    15
    x
    2
     
    +
    8
    x
    +
    63
    		)
    =
    0
Question 2
2.
Which of the following is a linear equation in two variable?
  • (i)
    (
    −
    6
    x
    2
     
    −
    42
    x
    −
    36
    		)
    =
    0
  • (ii)
    (
    −
    5
    x
    −
    7
    y
    −
    8
    		)
    =
    0
  • (iii)
    (
    −
    35
    x
    2
     
    −
    31
    x
    y
    −
    69
    x
    +
    40
    y
    2
     
    +
    3
    y
    −
    28
    		)
    =
    0
  • (iv)
    (
    7
    x
    −
    7
    		)
    =
    0
  • (v)
    (
    7
    x
    +
    4
    y
    +
    7
    z
    +
    7
    		)
    =
    0
Question 3
3.
Which of the following is a linear equation in three variable?
  • (i)
    (
    −
    6
    x
    +
    7
    y
    −
    8
    z
    −
    9
    		)
    =
    0
  • (ii)
    (
    3
    x
    2
     
    −
    17
    x
    y
    +
    22
    x
    +
    24
    y
    2
     
    −
    57
    y
    −
    45
    		)
    =
    0
  • (iii)
    (
    −
    36
    x
    2
     
    +
    25
    x
    +
    25
    		)
    =
    0
  • (iv)
    (
    −
    3
    x
    +
    6
    y
    +
    4
    		)
    =
    0
  • (v)
    (
    −
    2
    x
    −
    4
    		)
    =
    0
Question 4
4.
Which of the following is a linear equation in one variable?
  • (i)
    (
    −
    x
    2
     
    −
    12
    x
    −
    35
    		)
    =
    (
    −
    3
    x
    +
    8
    		)
  • (ii)
    (
    −
    2
    x
    −
    4
    y
    +
    6
    z
    −
    8
    		)
    =
    (
    −
    3
    x
    −
    9
    y
    +
    2
    z
    +
    8
    		)
  • (iii)
    (
    −
    7
    x
    −
    8
    		)
    =
    (
    5
    x
    +
    3
    		)
  • (iv)
    (
    −
    3
    x
    −
    5
    y
    +
    3
    		)
    =
    (
    −
    2
    x
    −
    8
    y
    +
    4
    		)
  • (v)
    (
    −
    63
    x
    2
     
    −
    4
    x
    y
    −
    27
    x
    +
    4
    y
    2
     
    −
    26
    y
    +
    36
    		)
    =
    0
Question 5
5.
Which of the following is a linear equation in two variable?
  • (i)
    (
    x
    +
    8
    y
    +
    z
    +
    3
    		)
    =
    (
    −
    3
    x
    −
    y
    +
    3
    z
    −
    1
    		)
  • (ii)
    (
    −
    2
    x
    2
     
    −
    14
    x
    y
    +
    11
    x
    +
    36
    y
    2
     
    −
    77
    y
    +
    40
    		)
    =
    0
  • (iii)
    (
    −
    2
    x
    +
    6
    		)
    =
    (
    2
    x
    +
    4
    		)
  • (iv)
    (
    −
    4
    x
    2
     
    +
    2
    x
    +
    2
    		)
    =
    (
    9
    x
    +
    9
    		)
  • (v)
    (
    5
    x
    −
    9
    y
    +
    7
    		)
    =
    (
    −
    3
    x
    +
    4
    y
    +
    4
    		)
Question 6
6.
Which of the following is a linear equation in three variable?
  • (i)
    (
    −
    10
    x
    2
     
    −
    x
    +
    24
    		)
    =
    (
    x
    −
    3
    		)
  • (ii)
    (
    24
    x
    2
     
    +
    6
    x
    y
    +
    32
    x
    −
    30
    y
    2
     
    −
    41
    y
    −
    6
    		)
    =
    0
  • (iii)
    (
    −
    8
    x
    +
    1
    		)
    =
    (
    9
    x
    +
    4
    		)
  • (iv)
    (
    −
    2
    x
    +
    4
    y
    −
    5
    		)
    =
    (
    5
    x
    −
    7
    y
    +
    2
    		)
  • (v)
    (
    x
    −
    3
    y
    +
    9
    z
    −
    2
    		)
    =
    (
    −
    6
    x
    −
    6
    y
    +
    3
    z
    +
    3
    		)
Question 7
7.
    • The linear equation
    • (
      4
      x
      +
      7
      		)
      =
      (
      −
      8
      x
      +
      7
      		)
    • is equivalent to
  • (i)
    13
    x
    =
    0
  • (ii)
    (
    4
    x
    +
    7
    		)
    =
    (
    −
    8
    x
    +
    10
    		)
  • (iii)
    (
    4
    x
    +
    7
    		)
    =
    (
    −
    8
    x
    +
    5
    		)
  • (iv)
    12
    x
    =
    0
  • (v)
    11
    x
    =
    0
Question 8
8.
    • The value of
    • x
    • in terms of other variables and constant in
    • (
      −
      5
      x
      +
      3
      		)
      =
      (
      7
      x
      +
      6
      		)
    • is
  • (i)
    x
    =
    (
    −
    1
    2
    		)
  • (ii)
    x
    =
    (
    −
    3
    4
    		)
  • (iii)
    x
    =
    (
    −
    1
    4
    		)
  • (iv)
    x
    =
    1
    4
  • (v)
    x
    =
    (
    −
    1
    6
    		)
Question 9
9.
    • The L.H.S of the equation
    • (
      5
      x
      +
      8
      		)
      =
      0
    • is
  • (i)
    (
    5
    x
    +
    5
    		)
  • (ii)
    (
    5
    x
    +
    8
    		)
  • (iii)
    0
  • (iv)
    (
    5
    x
    +
    11
    		)
  • (v)
    (
    4
    x
    +
    8
    		)
Question 10
10.
    • The R.H.S of the equation
    • (
      −
      7
      x
      +
      4
      		)
      =
      0
    • is
  • (i)
    0
  • (ii)
    (
    −
    1
    		)
  • (iii)
    (
    −
    7
    x
    +
    4
    		)
  • (iv)
    2
  • (v)
    (
    −
    2
    		)
Question 11
11.
    • The L.H.S of the equation
    • (
      −
      9
      x
      +
      4
      		)
      =
      6
    • is
  • (i)
    6
  • (ii)
    (
    −
    9
    x
    +
    1
    		)
  • (iii)
    (
    −
    9
    x
    +
    4
    		)
  • (iv)
    (
    −
    10
    x
    +
    4
    		)
  • (v)
    (
    −
    9
    x
    +
    6
    		)
Question 12
12.
    • The R.H.S of the equation
    • (
      5
      x
      −
      3
      		)
      =
      5
    • is
  • (i)
    4
  • (ii)
    5
  • (iii)
    2
  • (iv)
    8
  • (v)
    (
    5
    x
    −
    3
    		)
Question 13
13.
    • The L.H.S of the equation
    • (
      −
      x
      +
      4
      		)
      =
      7
      x
    • is
  • (i)
    (
    −
    x
    +
    1
    		)
  • (ii)
    7
    x
  • (iii)
    (
    −
    x
    +
    4
    		)
  • (iv)
    (
    −
    x
    +
    6
    		)
  • (v)
    (
    −
    2
    x
    +
    4
    		)
Question 14
14.
    • The R.H.S of the equation
    • (
      −
      4
      x
      +
      2
      		)
      =
      (
      −
      5
      x
      −
      6
      		)
    • is
  • (i)
    (
    −
    5
    x
    −
    3
    		)
  • (ii)
    (
    −
    4
    x
    +
    2
    		)
  • (iii)
    (
    −
    6
    x
    −
    6
    		)
  • (iv)
    (
    −
    5
    x
    −
    6
    		)
  • (v)
    (
    −
    5
    x
    −
    8
    		)
Question 15
15.
    • The additive inverse of the expression
    • (
      −
      6
      x
      +
      5
      		)
    • is
  • (i)
    (
    6
    x
    −
    2
    		)
  • (ii)
    (
    6
    x
    −
    5
    		)
  • (iii)
    (
    −
    6
    x
    +
    5
    		)
  • (iv)
    (
    5
    x
    −
    5
    		)
  • (v)
    (
    6
    x
    −
    8
    		)
Question 16
16.
    • The additive inverse of the expression
    • (
      −
      6
      		)
    • is
  • (i)
    9
  • (ii)
    (
    −
    6
    		)
  • (iii)
    3
  • (iv)
    5
  • (v)
    6
Question 17
17.
    • Solve the equation
    • (
      x
      −
      7
      		)
      =
      0
  • (i)
    5
  • (ii)
    7
  • (iii)
    10
  • (iv)
    6
  • (v)
    8
Question 18
18.
    • Solve the equation
    • (
      −
      6
      x
      		)
      =
      2
  • (i)
    1
    3
  • (ii)
    (
    -1
    3
    		 )
  • (iii)
    -1
  • (iv)
    (
    -1
    5
    		 )
Question 19
19.
    • Solve the equation
    • (
      3
      x
      −
      8
      		)
      =
      0
  • (i)
    12
    5
  • (ii)
    10
    3
  • (iii)
    4
  • (iv)
    2
  • (v)
    8
    3
Question 20
20.
    • Solve the equation
    • (
      −
      4
      9
      x
      −
      3
      4
      		)
      =
      0
  • (i)
    (
    -29
    18
    		 )
  • (ii)
    (
    -25
    16
    		 )
  • (iii)
    (
    -25
    14
    		 )
  • (iv)
    (
    -27
    16
    		 )
  • (v)
    (
    -29
    16
    		 )
Question 21
21.
    • Solve the equation
    • (
      −
      9
      x
      +
      9
      		)
      =
      9
  • (i)
    1
  • (ii)
    -3
  • (iii)
    -1
  • (iv)
    2
  • (v)
    0
Question 22
22.
    • Solve the equation
    • (
      −
      3
      7
      x
      +
      7
      		)
      =
      (
      −
      5
      4
      		)
  • (i)
    39
    2
  • (ii)
    115
    6
  • (iii)
    79
    4
  • (iv)
    77
    4
  • (v)
    75
    4
Question 23
23.
    • Solve the equation
    • (
      −
      8
      x
      −
      1
      		)
      =
      (
      8
      x
      +
      5
      		)
  • (i)
    (
    -1
    2
    		 )
  • (ii)
    (
    -3
    8
    		 )
  • (iii)
    (
    -5
    8
    		 )
  • (iv)
    (
    -3
    10
    		 )
  • (v)
    (
    -1
    8
    		 )
Question 24
24.
    • Solve the equation
    • (
      −
      5
      3
      x
      +
      7
      2
      		)
      =
      (
      8
      3
      x
      −
      3
      2
      		)
  • (i)
    15
    13
  • (ii)
    1
  • (iii)
    13
    11
  • (iv)
    17
    15
  • (v)
    17
    13
Question 25
25.
    • The linear equation
    • (
      2
      x
      −
      6
      y
      −
      1
      		)
      =
      (
      −
      2
      x
      +
      3
      y
      −
      8
      		)
    • is equivalent to
  • (i)
    (
    2
    x
    −
    6
    y
    −
    1
    		)
    =
    (
    −
    2
    x
    +
    6
    y
    −
    8
    		)
  • (ii)
    (
    4
    x
    −
    9
    y
    +
    7
    		)
    =
    0
  • (iii)
    (
    5
    x
    −
    9
    y
    +
    7
    		)
    =
    0
  • (iv)
    (
    3
    x
    −
    9
    y
    +
    7
    		)
    =
    0
  • (v)
    (
    2
    x
    −
    6
    y
    −
    1
    		)
    =
    (
    −
    2
    x
    −
    8
    		)
    Assignment Key
  •  1) (i)
  •  2) (ii)
  •  3) (i)
  •  4) (iii)
  •  5) (v)
  •  6) (v)
  •  7) (iv)
  •  8) (iii)
  •  9) (ii)
  •  10) (i)
  •  11) (iii)
  •  12) (ii)
  •  13) (iii)
  •  14) (iv)
  •  15) (ii)
  •  16) (v)
  •  17) (ii)
  •  18) (ii)
  •  19) (v)
  •  20) (iv)
  •  21) (v)
  •  22) (iv)
  •  23) (ii)
  •  24) (i)
  •  25) (ii)