EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simple Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • Which of the following equations is not the same as
    • (
      8
      x
      +
      8
      )
      =
      (
      9
      )
  • (i)
    (
    8
    x
    +
    11
    )
    =
    (
    6
    )
  • (ii)
    (
    8
    x
    +
    10
    )
    =
    (
    7
    )
  • (iii)
    (
    8
    x
    +
    4
    )
    =
    (
    5
    )
  • (iv)
    (
    8
    x
    +
    6
    )
    =
    (
    11
    )
  • (v)
    (
    8
    x
    +
    5
    )
    =
    (
    12
    )
Question 2
2.
    • Solve the equation
    • (
      9

      4
      x
      7

      2
      )
      =
      (
      3
      x
      5

      6
      )
  • (i)
    (
    -38

    11
    )
  • (ii)
    (
    -32

    9
    )
  • (iii)
    (
    -26

    7
    )
  • (iv)
    (
    -34

    9
    )
  • (v)
    (
    -10

    3
    )
Question 3
3.
    • Solve the equation
    • (
      x
      5
      )
      =
      0
  • (i)
    3
  • (ii)
    4
  • (iii)
    8
  • (iv)
    6
  • (v)
    5
Question 4
4.
    • Which of the following equations is the same as
    • (
      7
      x
      4
      )
      =
      0
  • (i)
    (
    7
    x
    )
    =
    4
  • (ii)
    (
    7
    x
    )
    =
    6
  • (iii)
    (
    7
    x
    )
    =
    2
  • (iv)
    (
    7
    x
    +
    1
    )
    =
    4
  • (v)
    (
    7
    x
    1
    )
    =
    4
Question 5
5.
    • Solve :
    •  
       
      (
      3
      x
      1
      )
        +  
       
       
      (
      4
      x
      2
      )

       
       
      3
      =
       
       
      (
      2
      x
      4
      )
  • (i)
    -10
  • (ii)
    -6
  • (iii)
    -5
  • (iv)
    -7
  • (v)
    -8
Question 6
6.
    • Which of the following equations is not the same as
    • (
      3
      x
      +
      2
      )
      =
      (
      5
      )
  • (i)
    (
    3
    x
    +
    6
    )
    =
    (
    1
    )
  • (ii)
    (
    3
    x
    2
    )
    =
    (
    9
    )
  • (iii)
    (
    3
    x
    +
    1
    )
    =
    (
    6
    )
  • (iv)
    (
    3
    x
    +
    7
    )
    =
    (
    10
    )
  • (v)
    (
    3
    x
    +
    3
    )
    =
    (
    4
    )
Question 7
7.
Two angles of a triangle measure 63° and 55° respectively. Find the measure of the third angle of the triangle
  • (i)
    63°
  • (ii)
    64°
  • (iii)
    60°
  • (iv)
    61°
  • (v)
    62°
Question 8
8.
The ratio of two numbers is
1
:
2
and their LCM is 30. Find the numbers.
  • (i)
    13
    :
    26
  • (ii)
    16
    :
    32
  • (iii)
    14
    :
    28
  • (iv)
    15
    :
    30
  • (v)
    17
    :
    34
Question 9
9.
A train crosses a telegraph post in 29.57 sec and a bridge 859.65 m long in 71.98 sec. What is the length of the train?
  • (i)
    601.38 m
  • (ii)
    597.38 m
  • (iii)
    599.38 m
  • (iv)
    598.38 m
  • (v)
    600.38 m
Question 10
10.
    • Which of the following equations is the same as
    • (
      8
      x
      4
      )
      =
      0
  • (i)
    (
    40
    x
    +
    15
    )
    =
    0
  • (ii)
    (
    40
    x
    +
    25
    )
    =
    0
  • (iii)
    (
    40
    x
    +
    20
    )
    =
    (
    1
    )
  • (iv)
    (
    40
    x
    +
    20
    )
    =
    0
  • (v)
    (
    40
    x
    +
    20
    )
    =
    1
Question 11
11.
A ratio is equal to 7 : 16. If its antecendent is 980, what is its consequent?
  • (i)
    2240
  • (ii)
    2239
  • (iii)
    2242
  • (iv)
    2238
  • (v)
    2241
Question 12
12.
    • The R.H.S of the equation
    • (
      7
      x
      +
      6
      )
      =
      0
    • is
  • (i)
    3
  • (ii)
    (
    2
    )
  • (iii)
    (
    1
    )
  • (iv)
    0
  • (v)
    (
    7
    x
    +
    6
    )
Question 13
13.
    • Solve :
    •  
       
      (
      7
      x
      2
      )

       
       
      (
      x
      +
      1
      )
      =
       
       
      3

       
       
      (
      5
      )
  • (i)
    7

    36
  • (ii)
    9

    38
  • (iii)
    5

    38
  • (iv)
    7

    38
  • (v)
    7

    40
Question 14
14.
The ratio of males to females in a committee of 320 members is 19 : 13. How many more ladies should be added to the committee so that the ratio of males to females is 19 : 16?
  • (i)
    29
  • (ii)
    33
  • (iii)
    30
  • (iv)
    27
  • (v)
    31
Question 15
15.
    • Which of the following equations is not the same as
    • (
      x
      6
      )
      =
      (
      3
      x
      8
      )
  • (i)
    (
    2
    x
    +
    12
    )
    =
    (
    6
    x
    +
    16
    )
  • (ii)
    (
    4
    x
    24
    )
    =
    (
    12
    x
    32
    )
  • (iii)
    (
    5
    x
    30
    )
    =
    (
    15
    x
    40
    )
  • (iv)
    (
    2
    x
    12
    )
    =
    (
    3
    x
    6
    )
  • (v)
    (
    3
    x
    +
    18
    )
    =
    (
    9
    x
    +
    24
    )
Question 16
16.
    • The L.H.S of the equation
    • (
      2
      x
      3
      )
      =
      0
    • is
  • (i)
    (
    2
    x
    5
    )
  • (ii)
    (
    x
    3
    )
  • (iii)
    (
    2
    x
    3
    )
  • (iv)
    2
    x
  • (v)
    0
Question 17
17.
    • Find the number which bears the same ratio
    • to
    • 2

      5
    • that
    • 1

      5
    • does to
    • 3

      20
  • (i)
    8

    17
  • (ii)
    2

    5
  • (iii)
    8

    13
  • (iv)
    2

    3
  • (v)
    8

    15
Question 18
18.
    • In an examination, the ratio of passes to failures was 4 : 1.
    • Had 35 less appeared and 15 less passed, the ratio of passes to failures would have been 37 : 6.
    • How many students appeared for the examination?
  • (i)
    240
  • (ii)
    245
  • (iii)
    260
  • (iv)
    250
  • (v)
    255
Question 19
19.
    • The L.H.S of the equation
    • (
      7
      x
      +
      1
      )
      =
      6
    • is
  • (i)
    (
    7
    x
    +
    1
    )
  • (ii)
    (
    7
    x
    2
    )
  • (iii)
    6
  • (iv)
    (
    8
    x
    +
    1
    )
  • (v)
    (
    7
    x
    +
    3
    )
Question 20
20.
    • Solve :
    •  
       
      (
      x
      5
      )

       
       
      9
        +  
       
       
      (
      x
      +
      1
      )

       
       
      2
      =
       
       
      (
      x
      +
      5
      )

       
       
      18
  • (i)
    1
  • (ii)
    -1
  • (iii)
    0
  • (iv)
    -2
  • (v)
    -3
Question 21
21.
    • Solve the equation
    • 3
      x
      =
      (
      3
      )
  • (i)
    -1
  • (ii)
    1
  • (iii)
    -3
  • (iv)
    -2
  • (v)
    0
Question 22
22.
    • Which of the following equations is not the same as
    • (
      4
      x
      +
      1
      )
      =
      (
      2
      x
      9
      )
  • (i)
    (
    4
    x
    3
    )
    =
    (
    2
    x
    13
    )
  • (ii)
    (
    4
    x
    2
    )
    =
    (
    2
    x
    12
    )
  • (iii)
    (
    4
    x
    +
    5
    )
    =
    (
    2
    x
    5
    )
  • (iv)
    (
    4
    x
    )
    =
    (
    2
    x
    8
    )
  • (v)
    (
    4
    x
    +
    4
    )
    =
    (
    2
    x
    6
    )
Question 23
23.
    • Solve :
    •  
       
      (
      5
      x
      +
      4
      )
        +  
       
       
      (
      4
      x
      +
      1
      )
      =
       
       
      (
      3
      x
      +
      5
      )

       
       
      7
  • (i)
    (
    -13

    2
    )
  • (ii)
    -8
  • (iii)
    (
    -15

    2
    )
  • (iv)
    (
    -17

    2
    )
  • (v)
    (
    -29

    4
    )
Question 24
24.
    • Which of the following equations is the same as
    • (
      3
      x
      9
      )
      =
      0
  • (i)
    (
    7
    x
    12
    )
    =
    (
    4
    x
    +
    3
    )
  • (ii)
    (
    x
    6
    )
    =
    (
    4
    x
    3
    )
  • (iii)
    (
    4
    x
    12
    )
    =
    (
    7
    x
    3
    )
  • (iv)
    (
    4
    x
    12
    )
    =
    (
    7
    x
    +
    3
    )
  • (v)
    (
    10
    x
    6
    )
    =
    (
    7
    x
    3
    )
Question 25
25.
    • Which of the following equations is the same as
    • (
      7
      x
      6
      )
      =
      8
  • (i)
    (
    12
    x
    )
    =
    (
    5
    x
    +
    2
    )
  • (ii)
    (
    2
    x
    12
    )
    =
    (
    5
    x
    +
    14
    )
  • (iii)
    (
    14
    x
    )
    =
    (
    7
    x
    +
    2
    )
  • (iv)
    (
    12
    )
    =
    (
    7
    x
    +
    14
    )
  • (v)
    (
    2
    x
    12
    )
    =
    (
    5
    x
    +
    2
    )
    Assignment Key

  •  1) (iii)
  •  2) (ii)
  •  3) (v)
  •  4) (i)
  •  5) (iv)
  •  6) (iv)
  •  7) (v)
  •  8) (iv)
  •  9) (iii)
  •  10) (iv)
  •  11) (i)
  •  12) (iv)
  •  13) (iv)
  •  14) (iii)
  •  15) (iv)
  •  16) (iii)
  •  17) (v)
  •  18) (iv)
  •  19) (i)
  •  20) (ii)
  •  21) (i)
  •  22) (iv)
  •  23) (iii)
  •  24) (iii)
  •  25) (v)