EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Concepts of Algebra
Grade : ICSE Grade VI
License : Non Commercial Use
Question 1
1.
    • The value of the polynomial
    • w
      2
       
    • at
    •  
    • u
    • =
    • 4
    • ,
    • v
    • =
    • (-2)
    • ,
    • w
    • =
    • 3
    •  
    • is
  • (i)
    9
  • (ii)
    6
  • (iii)
    12
  • (iv)
    10
  • (v)
    8
Question 2
2.
    • Given
    • f
      (
      x
      )
    • =
    • (
      2
      x
      2
       
      7
      x
      9
      )
    • ,
    • find
    •  
    • f
      (
      (-3)
      )
  • (i)
    30
  • (ii)
    28
  • (iii)
    31
  • (iv)
    33
  • (v)
    29
Question 3
3.
    • The value of the polynomial
    • (
      7
      c
      d
      +
      2
      c
      e
      2
       
      3
      d
      )
    • at
    •  
    • c
    • =
    • (-4)
    • ,
    • d
    • =
    • 5
    • ,
    • e
    • =
    • 5
    •  
    • is
  • (i)
    -357
  • (ii)
    -356
  • (iii)
    -354
  • (iv)
    -355
  • (v)
    -353
Question 4
4.
    • The expanded form of
    • (
      1

      2
      p
      q
      +
      1

      4
      q
      )
      3
       
    • is
  • (i)
    (
    1

    2
    p
    q
    +
    1

    4
    q
    )
    (
    1

    2
    p
    q
    +
    1

    4
    q
    )
    (
    1

    2
    p
    q
    +
    1

    4
    q
    )
    (
    1

    2
    p
    q
    +
    1

    4
    q
    )
    (
    1

    2
    p
    q
    +
    1

    4
    q
    )
  • (ii)
    (
    1

    2
    p
    q
    +
    1

    4
    q
    )
    (
    1

    2
    p
    q
    +
    1

    4
    q
    )
    (
    1

    2
    p
    q
    +
    1

    4
    q
    )
  • (iii)
    (
    1

    2
    p
    q
    +
    1

    4
    q
    )
    (
    1

    2
    p
    q
    +
    1

    4
    q
    )
  • (iv)
    (
    1

    2
    p
    q
    +
    1

    4
    q
    )
  • (v)
    (
    1

    2
    p
    q
    +
    1

    4
    q
    )
    (
    1

    2
    p
    q
    +
    1

    4
    q
    )
    (
    1

    2
    p
    q
    +
    1

    4
    q
    )
    (
    1

    2
    p
    q
    +
    1

    4
    q
    )
Question 5
5.
    • The degree of the polynomial
    • (
      4
      x
      5
      )
    • is
  • (i)
    0
  • (ii)
    1
  • (iii)
    2
  • (iv)
    (-2)
  • (v)
    4
Question 6
6.
    • Which of the following is an irreducible factor of
    • 46
      x
      2
       
      y
      z
    • ?
  • (i)
    y
    z
  • (ii)
    x
    z
  • (iii)
    x
    2
     
    y
    z
  • (iv)
    x
  • (v)
    x
    2
     
    y
Question 7
7.
    • The degree of polynomial
    • (
      4
      e
      3
       
      f
      3
       
      g
      7
      e
      3
       
      g
      2
       
      7
      e
      2
       
      f
      3
       
      g
      3
       
      +
      7
      e
      2
       
      f
      g
      8
      e
      2
       
      g
      +
      e
      f
      3
       
      g
      3
       
      e
      f
      3
       
      )
    • is
  • (i)
    7
  • (ii)
    6
  • (iii)
    8
  • (iv)
    11
  • (v)
    9
Question 8
8.
    • The expanded form of
    • (
      2

      5
      s
      )
      3
       
    • is
  • (i)
    2

    5
    s
    2

    5
    s
    2

    5
    s
    2

    5
    s
  • (ii)
    2

    5
    s
    2

    5
    s
  • (iii)
    2

    5
    s
  • (iv)
    2

    5
    s
    2

    5
    s
    2

    5
    s
  • (v)
    2

    5
    s
    2

    5
    s
    2

    5
    s
    2

    5
    s
    2

    5
    s
Question 9
9.
    • The coefficient of term
    • w
      x
      2
       
    • in polynomial
    • (
      9
      v
      2
       
      w
      2
       
      x
      2
       
      2
      v
      2
       
      w
      x
      2
      v
      2
       
      w
      x
      2
       
      9
      x
      2
       
      )
    • is
  • (i)
    -3
  • (ii)
    2
  • (iii)
    -1
  • (iv)
    0
  • (v)
    -2
Question 10
10.
    • Which of the following terms is a like term of
    • 4
      i
      4
       
    • ?
  • (i)
    (
    i
    3
     
    )
  • (ii)
    (
    6
    i
    )
  • (iii)
    7
    i
    2
     
  • (iv)
    (
    1
    )
  • (v)
    9
    i
    4
     
Question 11
11.
    • Which of the following is a like term of
    • 2
      j
    • ?
  • (i)
    1
  • (ii)
    (
    6
    j
    )
  • (iii)
    5
    l
    2
     
  • (iv)
    (
    3
    j
    k
    2
     
    l
    2
     
    )
  • (v)
    7
    k
    2
     
    l
    2
     
Question 12
12.
    • The expanded form of
    • (
      t
      u
      )
      3
       
    • is
  • (i)
    (
    t
    u
    )
    (
    t
    u
    )
  • (ii)
    (
    t
    u
    )
    (
    t
    u
    )
    (
    t
    u
    )
    (
    t
    u
    )
  • (iii)
    (
    t
    u
    )
    (
    t
    u
    )
    (
    t
    u
    )
  • (iv)
    (
    t
    u
    )
    (
    t
    u
    )
    (
    t
    u
    )
    (
    t
    u
    )
    (
    t
    u
    )
  • (v)
    (
    t
    u
    )
Question 13
13.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    2
    g
    3
     
    h
    3
     
    i
    3
     
    7
    g
    3
     
    h
    2
     
    i
    3
     
    +
    4
    g
    h
    3
     
    i
    +
    6
    g
    h
    3
     
    )
  • (ii)
    (
    2
    g
    2
     
    h
    3
     
    i
    2
     
    +
    5
    h
    3
     
    i
    )
  • (iii)
    3
  • (iv)
    (
    6
    g
    3
     
    h
    3
     
    i
    2
     
    )
  • (v)
    (
    g
    3
     
    i
    3
     
    3
    g
    h
    2
     
    i
    2
    i
    3
     
    )
Question 14
14.
    • n
      n
    • =
  • (i)
    n
    2
  • (ii)
    2
    n
    2
  • (iii)
    4
    n
    2
  • (iv)
    n
    3
  • (v)
    n
Question 15
15.
    • The value of the polynomial
    • (
      9
      s
      +
      2
      )
    • at
    •  
    • s
    • =
    • 1
    • is
  • (i)
    8
  • (ii)
    13
  • (iii)
    12
  • (iv)
    10
  • (v)
    11
Question 16
16.
    • Which of the following is a like term of
    • 4
      p
      q
      2
       
    • ?
  • (i)
    (
    4
    q
    )
  • (ii)
    3
    q
    2
     
  • (iii)
    (
    3
    p
    q
    2
     
    )
  • (iv)
    (
    2
    p
    2
     
    q
    )
  • (v)
    (
    9
    p
    )
Question 17
17.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    5
    t
    4
     
    +
    3
    t
    3
     
    +
    9
    t
    2
     
    8
    t
    6
    )
  • (ii)
    (
    6
    t
    4
     
    9
    )
  • (iii)
    8
  • (iv)
    (
    3
    t
    2
     
    )
  • (v)
    (
    7
    t
    4
     
    +
    5
    t
    3
     
    +
    5
    t
    )
Question 18
18.
    • The degree of the polynomial
    • (
      7
      w
      5
       
      +
      3
      w
      4
       
      +
      7
      w
      3
       
      7
      w
      2
       
      +
      4
      )
    • is
  • (i)
    5
  • (ii)
    7
  • (iii)
    4
  • (iv)
    3
  • (v)
    6
Question 19
19.
    • The degree of polynomial
    • (
      8
      d
      2
       
      e
      2
       
      5
      d
      2
       
      e
      +
      9
      e
      5
      )
    • is
  • (i)
    5
  • (ii)
    3
  • (iii)
    6
  • (iv)
    4
  • (v)
    1
Question 20
20.
    • Which of the following terms is a like term of
    • (
      7
      w
      3
       
      )
    • ?
  • (i)
    (
    8
    w
    4
     
    )
  • (ii)
    (
    6
    w
    3
     
    )
  • (iii)
    (
    7
    w
    2
     
    )
  • (iv)
    (
    7
    w
    )
  • (v)
    (
    4
    )
Question 21
21.
Which of the following are not polynomials?
a)
    • x
      +
      1

      x
b)
    • (
      12
      x
      2
       
      106
      x
      y
      18
      y
      2
       
      )
c)
    • x
      2
       
d)
    • (
      12
      x
      +
      2
      y
      )

      (
      x
      9
      y
      )
e)
    • (
      12
      x
      +
      2
      y
      )
  • (i)
    {e,b,a}
  • (ii)
    {a,d}
  • (iii)
    {c,d,a}
  • (iv)
    {c,d}
  • (v)
    {b,a}
Question 22
22.
    • The value of the polynomial
    • (
      7
      w
      x
      y
      +
      8
      w
      x
      )
    • at
    •  
    • w
    • =
    • (-2)
    • ,
    • x
    • =
    • 2
    • ,
    • y
    • =
    • 5
    •  
    • is
  • (i)
    106
  • (ii)
    107
  • (iii)
    109
  • (iv)
    110
  • (v)
    108
Question 23
23.
    • The value of the polynomial
    • (
      9
      q
      r
      +
      7
      r
      s
      +
      9
      r
      )
    • at
    •  
    • q
    • =
    • 1
    • ,
    • r
    • =
    • (-3)
    • ,
    • s
    • =
    • 3
    •  
    • is
  • (i)
    -64
  • (ii)
    -63
  • (iii)
    -62
  • (iv)
    -60
  • (v)
    -65
Question 24
24.
    • The value of the polynomial
    • 5
    • at
    •  
    • u
    • =
    • (-2)
    • ,
    • v
    • =
    • (-5)
    • ,
    • w
    • =
    • (-4)
    •  
    • is
  • (i)
    7
  • (ii)
    5
  • (iii)
    6
  • (iv)
    3
  • (v)
    4
Question 25
25.
    • Which of the following is a like term of
    • (
      8
      r
      2
       
      s
      q
      2
       
      )
    • ?
  • (i)
    7
    q
    2
     
    r
    2
     
    s
    2
     
  • (ii)
    (
    8
    q
    2
     
    r
    2
     
    s
    )
  • (iii)
    (
    6
    q
    r
    2
     
    s
    2
     
    )
  • (iv)
    6
    q
    2
     
    r
    s
    2
     
  • (v)
    q
    r
    s
    Assignment Key

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