ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Simplification of Algebraic Fractions
Question 1
1.
    • Simplify
    • 1
      (
      8
      x
      2
       
      −
      16
      x
      −
      10
      		)
    • −
    • 1
      (
      8
      x
      2
       
      +
      20
      x
      +
      8
      		)
  • 11
    (
    16
    x
    3
     
    −
    84
    x
    +
    40
    		)
  • 6
    (
    7
    x
    3
     
    −
    42
    x
    −
    20
    		)
  • 9
    (
    16
    x
    3
     
    −
    84
    x
    −
    40
    		)
  • 9
    (
    16
    x
    3
     
    −
    84
    x
    +
    40
    		)
  • 5
    (
    8
    x
    3
     
    −
    42
    x
    +
    20
    		)
Question 2
2.
    • Simplify
    • 4
      (
      x
      −
      2
      		)
    • −
    		•
      2
      (
      x
      +
      2
      		)
  • (
    2
    x
    +
    14
    		)
    (
    x
    2
     
    −
    4
    		)
  • (
    2
    x
    +
    12
    		)
    (
    x
    2
     
    +
    4
    		)
  • (
    2
    x
    −
    12
    		)
    (
    x
    2
     
    +
    4
    		)
  • (
    2
    x
    +
    12
    		)
    (
    x
    2
     
    −
    4
    		)
  • (
    3
    x
    +
    12
    		)
    (
    x
    2
     
    −
    4
    		)
Question 3
3.
    • Simplify
    • 1
      (
      x
      2
       
      −
      49
      		)
    • −
    • 1
      (
      x
      2
       
      +
      8
      x
      +
      7
      		)
  • 9
    (
    x
    3
     
    +
    x
    2
     
    −
    49
    x
    +
    49
    		)
  • 8
    (
    x
    3
     
    +
    x
    2
     
    −
    49
    x
    +
    49
    		)
  • 8
    (
    x
    3
     
    +
    x
    2
     
    −
    49
    x
    −
    49
    		)
  • 10
    (
    x
    3
     
    +
    x
    2
     
    −
    49
    x
    +
    49
    		)
  • 11
    (
    −
    2
    x
    3
     
    +
    x
    2
     
    −
    49
    x
    −
    49
    		)
Question 4
4.
    • Simplify
    • (
      256
      x
      5
       
      −
      256
      x
      		)
      (
      64
      x
      3
       
      +
      64
      x
      2
       
      +
      64
      x
      +
      64
      		)
  • (
    8
    x
    		) (
    x
    +
    1
    		)
  • (
    4
    x
    		) (
    x
    −
    1
    		)
  • (
    −
    8
    x
    		) (
    x
    +
    1
    		)
  • (
    4
    x
    		) (
    x
    +
    1
    		)
Question 5
5.
    • Simplify
    • (
      a
      2
       
      +
      a
      b
      		)
      (
      2
      a
      3
       
      b
      −
      2
      a
      b
      3
       
      		)
  • 1
    (
    2
    a
    b
    −
    2
    b
    2
     
    		)
  • 1
    (
    a
    b
    −
    b
    2
     
    		)
  • 3
    (
    −
    2
    a
    b
    −
    2
    b
    2
     
    		)
  • 2
    (
    a
    b
    −
    b
    2
     
    		)
  • 1
    (
    −
    2
    a
    b
    −
    2
    b
    2
     
    		)
Question 6
6.
    • Simplify
    • (
      3
      x
      −
      7
      		)
      (
      15
      x
      2
       
      −
      62
      x
      +
      63
      		)
  • 2
    (
    5
    x
    +
    9
    		)
  • 1
    (
    5
    x
    +
    9
    		)
  • 4
    (
    3
    x
    −
    9
    		)
  • 1
    (
    5
    x
    −
    9
    		)
  • 3
    (
    5
    x
    +
    9
    		)
Question 7
7.
    • Simplify
    • (
      x
      2
       
      +
      7
      x
      +
      12
      		)
      (
      x
      2
       
      +
      10
      x
      +
      21
      		)
    • ÷
    • (
      x
      2
       
      +
      7
      x
      −
      18
      		)
      (
      x
      2
       
      +
      5
      x
      −
      14
      		)
  • (
    x
    −
    4
    		)
    (
    x
    −
    9
    		)
  • (
    x
    +
    4
    		)
    (
    x
    +
    9
    		)
  • (
    x
    +
    4
    		)
    (
    x
    −
    9
    		)
  • (
    2
    x
    +
    4
    		)
    (
    x
    −
    9
    		)
  • (
    4
    x
    +
    4
    		)
    (
    −
    x
    +
    9
    		)
Question 8
8.
    • Simplify
    • (
      5
      x
      +
      4
      		)
      4
    • −
    • (
      3
      x
      +
      2
      		)
      5
  • (
    13
    x
    +
    14
    		)
    20
  • (
    13
    x
    +
    12
    		)
    22
  • (
    13
    x
    −
    12
    		)
    22
  • (
    7
    x
    +
    6
    		)
    10
  • (
    13
    x
    +
    12
    		)
    20
Question 9
9.
    • Simplify
    • 2
      x
      (
      x
      2
       
      −
      64
      		)
    • +
    • 3
      x
      (
      x
      2
       
      +
      6
      x
      −
      16
      		)
  • (
    5
    x
    2
     
    −
    28
    x
    		)
    (
    x
    3
     
    −
    2
    x
    2
     
    −
    64
    x
    +
    128
    		)
  • (
    6
    x
    2
     
    −
    28
    x
    		)
    (
    x
    3
     
    −
    2
    x
    2
     
    −
    64
    x
    −
    128
    		)
  • (
    8
    x
    2
     
    −
    28
    x
    		)
    (
    −
    x
    3
     
    −
    2
    x
    2
     
    −
    64
    x
    +
    128
    		)
  • (
    −
    5
    x
    2
     
    −
    28
    x
    		)
    (
    x
    3
     
    −
    2
    x
    2
     
    −
    64
    x
    −
    128
    		)
  • (
    5
    x
    2
     
    −
    28
    x
    		)
    (
    x
    3
     
    −
    2
    x
    2
     
    −
    64
    x
    −
    128
    		)
Question 10
10.
Which of the following gives the L.C.M. of two or more polynomials?
  • ( Product of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
  • ( Product of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
  • ( L.C.M. of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
  • ( L.C.M. of numerical coefficients ) ✕ ( Each common factor raised to the highest power )