ICSE Board Practice

ICSE Grade VIII - Simple Linear Equations
Question 1
1.
The ratio of two numbers is
2
:
3
and their LCM is 48. Find the numbers.
  • 20
    :
    30
  • 14
    :
    21
  • 18
    :
    27
  • 16
    :
    24
  • 12
    :
    18
Question 2
2.
    • Solve :
    •  
       
      (
      −
      x
      −
      4
      )

       
       
      9
        +  
       
       
      (
      −
      x
      +
      3
      )

       
       
      4
      =
       
       
      (
      x
      +
      4
      )

       
       
      7
  • (
    -69

    127
    )
  • (
    -67

    125
    )
  • (
    -67

    129
    )
  • (
    -65

    127
    )
  • (
    -67

    127
    )
Question 3
3.
A student walks from his house to school at 3.92 kmph and arrives 2.90 min late. The next day he walks at 7.05 kmph and reaches the school 23.50 min before time. What is the distance from his house to school?
  • 3.88 km
  • 1.88 km
  • 4.88 km
  • 2.88 km
  • 5.88 km
Question 4
4.
    • Which of the following equations is the same as
    • (
      −
      9
      x
      +
      3
      )
      =
      (
      −
      7
      )
  • (
    9
    x
    −
    3
    )
    =
    4
  • (
    9
    x
    −
    3
    )
    =
    7
  • (
    9
    x
    −
    3
    )
    =
    10
  • (
    9
    x
    −
    6
    )
    =
    7
  • 9
    x
    =
    7
Question 5
5.
    • Solve :
    •   −  
       
       
      2

       
       
      (
      x
      +
      2
      )
        −  
       
       
      3

       
       
      (
      x
      −
      5
      )
      =
        −  
       
       
      4

       
       
      (
      x
      −
      5
      )
        −  
       
       
      1

       
       
      (
      x
      −
      3
      )
  • 25

    6
  • 7

    2
  • 29

    8
  • 17

    4
  • 23

    6
Question 6
6.
    • Solve :
    •  
       
      (
      −
      x
      −
      5
      )

       
       
      5
        +  
       
       
      (
      −
      5
      x
      −
      2
      )
      =
       
       
      (
      −
      3
      x
      +
      2
      )

       
       
      2
  • (
    -42

    37
    )
  • (
    -38

    37
    )
  • (
    -38

    35
    )
  • (
    -40

    37
    )
  • (
    -14

    13
    )
Question 7
7.
    • The R.H.S of the equation
    • (
      −
      9
      x
      −
      3
      )
      =
      0
    • is
  • (
    −
    1
    )
  • 0
  • (
    −
    2
    )
  • 3
  • (
    −
    9
    x
    −
    3
    )
Question 8
8.
    • Solve :
    •  
       
      (
      −
      3
      x
      )
        +  
       
       
      (
      3
      x
      +
      1
      )
      =
       
       
      (
      x
      +
      3
      )

       
       
      2
  • 0
  • -2
  • -1
  • -3
  • 2
Question 9
9.
    • Which of the following equations is not the same as
    • (
      −
      x
      +
      9
      )
      =
      0
  • 9
    =
    (
    −
    x
    )
  • (
    −
    2
    x
    +
    9
    )
    =
    (
    −
    x
    )
  • (
    −
    10
    x
    +
    5
    )
    =
    (
    −
    9
    x
    −
    4
    )
  • 9
    =
    x
  • (
    8
    x
    +
    13
    )
    =
    (
    9
    x
    +
    4
    )
Question 10
10.
    • Solve the equation
    • (
      7
      x
      +
      6
      )
      =
      0
  • (
    -6

    7
    )
  • (
    -2

    3
    )
  • (
    -8

    7
    )
  • (
    -4

    7
    )
  • (
    -6

    5
    )