SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade VIII - Linear Equations in One Variable
Question 1
1.
    • The L.H.S of the equation
    • (
      −
      7
      x
      +
      5
      		)
      =
      (
      −
      6
      x
      +
      6
      		)
    • is
  • (
    −
    7
    x
    +
    7
    		)
  • (
    −
    7
    x
    +
    2
    		)
  • (
    −
    6
    x
    +
    6
    		)
  • (
    −
    7
    x
    +
    5
    		)
  • (
    −
    8
    x
    +
    5
    		)
Question 2
2.
Which of the following is a linear equation in three variable?
  • (
    24
    x
    2
     
    +
    6
    x
    		)
    =
    (
    5
    x
    −
    4
    		)
  • (
    −
    x
    −
    9
    y
    +
    3
    		)
    =
    (
    6
    x
    −
    y
    +
    9
    		)
  • (
    −
    x
    −
    3
    y
    +
    8
    z
    +
    6
    		)
    =
    (
    7
    x
    −
    6
    y
    +
    z
    +
    1
    		)
  • (
    −
    6
    x
    +
    1
    		)
    =
    (
    6
    x
    +
    8
    		)
  • (
    54
    x
    2
     
    −
    57
    x
    y
    −
    33
    x
    −
    7
    y
    2
     
    −
    19
    y
    −
    10
    		)
    =
    0
Question 3
3.
    • The linear equation
    • (
      −
      4
      x
      −
      5
      		)
      =
      (
      −
      6
      x
      +
      5
      		)
    • is equivalent to
  • (
    −
    4
    x
    −
    5
    		)
    =
    (
    −
    6
    x
    +
    3
    		)
  • (
    2
    x
    −
    10
    		)
    =
    0
  • (
    x
    −
    10
    		)
    =
    0
  • (
    3
    x
    −
    10
    		)
    =
    0
  • (
    −
    4
    x
    −
    5
    		)
    =
    (
    −
    6
    x
    +
    7
    		)
Question 4
4.
    • Solve :
    •  
       
      (
      −
      4
      x
      −
      3
      		)
       
       
      5
      		  +  
       
       
      (
      −
      5
      x
      		)
       
       
      4
      =
       
       
      2
      x
       
       
      20
  • (
    -4
    15
    		 )
  • (
    -12
    43
    		 )
  • (
    -14
    43
    		 )
  • (
    -10
    43
    		 )
  • (
    -12
    41
    		 )
Question 5
5.
    • Which of the following equations is the same as
    • (
      −
      3
      x
      −
      6
      		)
      =
      (
      2
      x
      +
      3
      		)
  • (
    −
    4
    x
    −
    2
    		)
    =
    (
    x
    +
    7
    		)
  • (
    −
    2
    x
    −
    10
    		)
    =
    (
    x
    +
    7
    		)
  • (
    −
    4
    x
    −
    2
    		)
    =
    (
    3
    x
    −
    1
    		)
  • (
    −
    4
    x
    −
    4
    		)
    =
    (
    3
    x
    +
    1
    		)
  • (
    −
    2
    x
    −
    8
    		)
    =
    (
    x
    +
    5
    		)
Question 6
6.
    • Which of the following equations is the same as
    • (
      −
      5
      x
      +
      5
      		)
      =
      6
  • (
    −
    8
    x
    +
    12
    		)
    =
    (
    −
    3
    x
    +
    13
    		)
  • (
    −
    2
    x
    −
    2
    		)
    =
    (
    −
    3
    x
    +
    13
    		)
  • (
    −
    8
    x
    +
    12
    		)
    =
    (
    3
    x
    −
    1
    		)
  • (
    −
    10
    x
    −
    2
    		)
    =
    (
    5
    x
    +
    13
    		)
  • 12
    =
    (
    −
    5
    x
    −
    1
    		)
Question 7
7.
The ratio of two numbers is
4
:
3
and their LCM is 72. Find the numbers.
  • 28
    		:
    21
  • 32
    		:
    24
  • 20
    		:
    15
  • 16
    		:
    12
  • 24
    		:
    18
Question 8
8.
    • Solve :
    •  
       
      (
      −
      9
      		)
       
       
      (
      x
      −
      2
      		)
      =
       
       
      6
       
       
      (
      x
      −
      3
      		)
  • 17
    7
  • 11
    5
  • 3
  • 13
    5
Question 9
9.
In a company, the number of engineers to managers is in the ratio 4 : 3 . After a year, when 10 engineers and 15 managers left, the ratio between engineers to managers is 10 : 7 . Find the number of engineers and managers at the beginning?
  • 300
  • 280
  • 260
  • 290
  • 270
Question 10
10.
    • Solve the equation
    • (
      −
      7
      x
      		)
      =
      6
  • (
    -4
    7
    		 )
  • (
    -6
    5
    		 )
  • (
    -8
    7
    		 )
  • (
    -6
    7
    		 )
  • (
    -2
    3
    		 )