ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Linear Equations
Question 1
1.
Which of the following is a linear equation in one variable?
  • (
    4
    x
    −
    3
    y
    +
    3
    z
    +
    2
    		)
    =
    0
  • (
    16
    x
    2
     
    −
    36
    x
    +
    8
    		)
    =
    0
  • (
    −
    5
    x
    −
    5
    y
    +
    7
    		)
    =
    0
  • (
    −
    8
    x
    +
    9
    		)
    =
    0
  • (
    −
    16
    x
    2
     
    +
    38
    x
    y
    +
    14
    x
    +
    30
    y
    2
     
    −
    13
    y
    −
    3
    		)
    =
    0
Question 2
2.
    • Which of the following equations is not the same as
    • (
      9
      x
      −
      2
      		)
      =
      (
      6
      x
      +
      8
      		)
  • (
    11
    x
    −
    11
    		)
    =
    (
    8
    x
    −
    1
    		)
  • (
    4
    x
    +
    4
    		)
    =
    (
    x
    +
    14
    		)
  • (
    7
    x
    +
    7
    		)
    =
    (
    4
    x
    +
    17
    		)
  • (
    11
    x
    −
    11
    		)
    =
    (
    4
    x
    +
    17
    		)
  • (
    14
    x
    −
    8
    		)
    =
    (
    11
    x
    +
    2
    		)
Question 3
3.
    • Solve :
    •  
       
      (
      −
      x
      		)
       
       
      3
      		  +  
       
       
      (
      −
      x
      +
      3
      		)
       
       
      3
      =
       
       
      (
      x
      +
      1
      		)
       
       
      8
  • 19
    17
  • 1
  • 23
    19
  • 23
    21
  • 21
    19
Question 4
4.
    • Which of the following equations is the same as
    • (
      9
      x
      +
      5
      		)
      =
      (
      −
      1
      		)
  • (
    10
    x
    +
    7
    		)
    =
    (
    −
    x
    −
    3
    		)
  • (
    8
    x
    +
    5
    		)
    =
    (
    x
    −
    1
    		)
  • (
    10
    x
    +
    5
    		)
    =
    (
    −
    x
    −
    1
    		)
  • (
    10
    x
    +
    7
    		)
    =
    (
    x
    +
    1
    		)
  • (
    8
    x
    +
    3
    		)
    =
    (
    x
    +
    1
    		)
Question 5
5.
Which of the following is a linear equation in two variable?
  • (
    −
    6
    x
    +
    8
    y
    −
    5
    		)
    =
    (
    −
    5
    x
    +
    3
    y
    −
    2
    		)
  • (
    −
    45
    x
    2
     
    +
    18
    x
    y
    +
    67
    x
    +
    27
    y
    2
     
    −
    75
    y
    +
    8
    		)
    =
    0
  • (
    21
    x
    2
     
    −
    13
    x
    +
    2
    		)
    =
    (
    −
    3
    x
    −
    2
    		)
  • (
    2
    x
    −
    5
    y
    −
    2
    z
    +
    3
    		)
    =
    (
    −
    x
    −
    7
    y
    +
    7
    z
    −
    8
    		)
  • (
    −
    x
    −
    2
    		)
    =
    (
    −
    2
    x
    +
    2
    		)
Question 6
6.
    • Solve :
    •  
       
      (
      x
      +
      1
      		)
      		  +  
       
       
      (
      −
      x
      −
      2
      		)
      =
       
       
      (
      −
      x
      +
      2
      		)
       
       
      4
  • 5
  • 7
  • 6
  • 3
  • 8
Question 7
7.
    • The R.H.S of the equation
    • (
      −
      x
      −
      9
      		)
      =
      (
      6
      x
      −
      9
      		)
    • is
  • (
    6
    x
    −
    11
    		)
  • (
    −
    x
    −
    9
    		)
  • (
    6
    x
    −
    9
    		)
  • (
    6
    x
    −
    7
    		)
  • (
    5
    x
    −
    9
    		)
Question 8
8.
    • Which of the following equations is equivalent to
    • (
      4
      x
      −
      3
      		)
      =
      0
  • 4
    x
    =
    4
  • 4
    x
    =
    (
    −
    2
    		)
  • 4
    x
    =
    8
  • 4
    x
    =
    3
  • 4
    x
    =
    2
Question 9
9.
    • The linear equation
    • (
      8
      x
      −
      9
      		)
      =
      (
      −
      4
      x
      −
      2
      		)
    • is equivalent to
  • (
    11
    x
    −
    7
    		)
    =
    0
  • (
    12
    x
    −
    7
    		)
    =
    0
  • (
    8
    x
    −
    9
    		)
    =
    (
    −
    4
    x
    −
    5
    		)
  • (
    13
    x
    −
    7
    		)
    =
    0
  • (
    8
    x
    −
    9
    		)
    =
    (
    −
    4
    x
    +
    1
    		)
Question 10
10.
    • Which of the following equations is not the same as
    • (
      4
      x
      +
      8
      		)
      =
      0
  • (
    4
    x
    +
    9
    		)
    =
    (
    −
    1
    		)
  • (
    4
    x
    +
    5
    		)
    =
    (
    −
    3
    		)
  • (
    4
    x
    +
    10
    		)
    =
    2
  • (
    4
    x
    +
    11
    		)
    =
    3
  • (
    4
    x
    +
    6
    		)
    =
    (
    −
    2
    		)