EduSahara™ Assignment
Name : Linear Equations Concepts
Chapter : Linear Equations
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
Which of the following is a linear equation in one variable?
  • (i)
    (
    −
    6
    x
    +
    3
    y
    +
    z
    +
    9
    		)
    =
    0
  • (ii)
    (
    10
    x
    2
     
    −
    11
    x
    −
    6
    		)
    =
    0
  • (iii)
    (
    −
    54
    x
    2
     
    −
    108
    x
    y
    +
    42
    x
    −
    54
    y
    2
     
    +
    42
    y
    −
    8
    		)
    =
    0
  • (iv)
    (
    −
    8
    x
    −
    9
    y
    +
    7
    		)
    =
    0
  • (v)
    (
    −
    8
    x
    +
    3
    		)
    =
    0
Question 2
2.
Which of the following is a linear equation in two variable?
  • (i)
    (
    −
    6
    x
    +
    6
    y
    −
    9
    z
    +
    9
    		)
    =
    0
  • (ii)
    (
    −
    6
    x
    −
    6
    y
    +
    3
    		)
    =
    0
  • (iii)
    (
    −
    54
    x
    2
     
    +
    39
    x
    y
    +
    15
    x
    −
    5
    y
    2
     
    +
    8
    y
    +
    21
    		)
    =
    0
  • (iv)
    (
    −
    7
    x
    +
    8
    		)
    =
    0
  • (v)
    (
    64
    x
    2
     
    +
    8
    x
    −
    12
    		)
    =
    0
Question 3
3.
Which of the following is a linear equation in one variable?
  • (i)
    (
    12
    x
    2
     
    −
    6
    x
    −
    18
    		)
    =
    (
    −
    6
    x
    +
    9
    		)
  • (ii)
    (
    −
    2
    x
    +
    4
    y
    −
    6
    z
    −
    1
    		)
    =
    (
    7
    x
    −
    7
    y
    −
    5
    z
    −
    6
    		)
  • (iii)
    (
    −
    5
    x
    2
     
    −
    2
    x
    y
    −
    23
    x
    +
    3
    y
    2
     
    +
    9
    y
    −
    12
    		)
    =
    0
  • (iv)
    (
    −
    6
    x
    −
    2
    y
    +
    4
    		)
    =
    (
    6
    x
    +
    y
    +
    4
    		)
  • (v)
    (
    −
    x
    −
    2
    		)
    =
    (
    −
    9
    x
    −
    5
    		)
Question 4
4.
Which of the following is a linear equation in two variable?
  • (i)
    (
    x
    +
    4
    y
    +
    6
    z
    −
    2
    		)
    =
    (
    −
    3
    x
    +
    9
    y
    −
    6
    z
    +
    2
    		)
  • (ii)
    (
    −
    8
    x
    −
    7
    y
    +
    2
    		)
    =
    (
    −
    4
    x
    −
    5
    y
    +
    2
    		)
  • (iii)
    (
    −
    16
    x
    2
     
    −
    2
    x
    y
    +
    62
    x
    +
    14
    y
    2
     
    −
    73
    y
    +
    45
    		)
    =
    0
  • (iv)
    (
    −
    5
    x
    +
    9
    		)
    =
    (
    6
    x
    +
    5
    		)
  • (v)
    (
    21
    x
    2
     
    −
    45
    x
    −
    54
    		)
    =
    (
    −
    5
    x
    −
    9
    		)
Question 5
5.
    • The linear equation
    • (
      7
      x
      +
      8
      		)
      =
      (
      −
      9
      x
      −
      2
      		)
    • is equivalent to
  • (i)
    (
    15
    x
    +
    10
    		)
    =
    0
  • (ii)
    (
    7
    x
    +
    8
    		)
    =
    (
    −
    9
    x
    −
    4
    		)
  • (iii)
    (
    16
    x
    +
    10
    		)
    =
    0
  • (iv)
    (
    7
    x
    +
    8
    		)
    =
    (
    −
    9
    x
    +
    1
    		)
  • (v)
    (
    17
    x
    +
    10
    		)
    =
    0
Question 6
6.
    • The value of
    • x
    • in terms of other variables and constant in
    • (
      −
      x
      +
      8
      		)
      =
      (
      −
      3
      x
      		)
    • is
  • (i)
    x
    =
    (
    −
    4
    		)
  • (ii)
    x
    =
    (
    −
    5
    		)
  • (iii)
    x
    =
    (
    −
    7
    		)
  • (iv)
    x
    =
    (
    −
    1
    		)
  • (v)
    x
    =
    (
    −
    3
    		)
Question 7
7.
    • The L.H.S of the equation
    • (
      9
      x
      +
      5
      		)
      =
      0
    • is
  • (i)
    0
  • (ii)
    (
    9
    x
    +
    8
    		)
  • (iii)
    (
    8
    x
    +
    5
    		)
  • (iv)
    (
    9
    x
    +
    5
    		)
  • (v)
    (
    9
    x
    +
    2
    		)
Question 8
8.
    • The R.H.S of the equation
    • (
      −
      8
      x
      −
      4
      		)
      =
      0
    • is
  • (i)
    (
    −
    2
    		)
  • (ii)
    3
  • (iii)
    0
  • (iv)
    (
    −
    1
    		)
  • (v)
    (
    −
    8
    x
    −
    4
    		)
Question 9
9.
    • The L.H.S of the equation
    • (
      −
      6
      x
      +
      3
      		)
      =
      5
    • is
  • (i)
    (
    −
    6
    x
    		)
  • (ii)
    (
    −
    6
    x
    +
    3
    		)
  • (iii)
    5
  • (iv)
    (
    −
    7
    x
    +
    3
    		)
  • (v)
    (
    −
    6
    x
    +
    5
    		)
Question 10
10.
    • The R.H.S of the equation
    • (
      −
      8
      x
      −
      2
      		)
      =
      8
    • is
  • (i)
    8
  • (ii)
    7
  • (iii)
    11
  • (iv)
    (
    −
    8
    x
    −
    2
    		)
  • (v)
    6
Question 11
11.
    • The L.H.S of the equation
    • (
      −
      8
      x
      		)
      =
      (
      4
      x
      −
      8
      		)
    • is
  • (i)
    (
    −
    8
    x
    		)
  • (ii)
    (
    4
    x
    −
    8
    		)
  • (iii)
    (
    −
    9
    x
    		)
  • (iv)
    (
    −
    11
    x
    		)
  • (v)
    (
    −
    5
    x
    		)
Question 12
12.
    • The R.H.S of the equation
    • (
      5
      x
      +
      7
      		)
      =
      (
      −
      2
      x
      +
      5
      		)
    • is
  • (i)
    (
    −
    2
    x
    +
    5
    		)
  • (ii)
    (
    5
    x
    +
    7
    		)
  • (iii)
    (
    −
    2
    x
    +
    2
    		)
  • (iv)
    (
    −
    3
    x
    +
    5
    		)
  • (v)
    (
    −
    2
    x
    +
    8
    		)
    Assignment Key
  •  1) (v)
  •  2) (ii)
  •  3) (v)
  •  4) (ii)
  •  5) (iii)
  •  6) (i)
  •  7) (iv)
  •  8) (iii)
  •  9) (ii)
  •  10) (i)
  •  11) (i)
  •  12) (i)