EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
    • The degree of polynomial
    • (
      9
      l
      2
       
      m
      3
       
      6
      l
      2
       
      m
      2
       
      n
      3
      l
      2
       
      m
      n
      3
       
      +
      7
      l
      m
      3
       
      4
      l
      n
      3
       
      +
      l
      n
      2
       
      m
      3
       
      n
      2
       
      )
    • is
  • (i)
    5
  • (ii)
    7
  • (iii)
    4
  • (iv)
    8
  • (v)
    6
Question 2
2.
    • The value of
    • (
      7
      e
      f
      )
    • +
    • (
      6
      e
      f
      )
    • is
  • (i)
    (
    10
    e
    f
    )
  • (ii)
    (
    14
    e
    f
    )
  • (iii)
    (
    12
    e
    f
    )
  • (iv)
    (
    16
    e
    f
    )
  • (v)
    (
    13
    e
    f
    )
Question 3
3.
    • (
      24
      x
      4
       
      +
      36
      x
      3
       
      168
      x
      2
       
      180
      x
      )
    • ÷
    • (
      6
      x
      2
       
      +
      3
      x
      45
      )
  • (i)
    (
    4
    x
    2
     
    4
    x
    )
  • (ii)
    (
    4
    x
    2
     
    +
    5
    x
    )
  • (iii)
    (
    4
    x
    2
     
    +
    4
    x
    )
  • (iv)
    (
    4
    x
    2
     
    +
    4
    x
    )
  • (v)
    (
    4
    x
    2
     
    +
    3
    x
    )
Question 4
4.
    • The value of
    • (
      9
      j
      +
      8
      )
    • (
      8
      j
      4
      )
    • is
  • (i)
    (
    74
    j
    2
     
    +
    100
    j
    32
    )
  • (ii)
    (
    69
    j
    2
     
    +
    100
    j
    32
    )
  • (iii)
    (
    73
    j
    2
     
    +
    100
    j
    32
    )
  • (iv)
    (
    72
    j
    2
     
    +
    100
    j
    32
    )
  • (v)
    (
    71
    j
    2
     
    +
    100
    j
    32
    )
Question 5
5.
    • The expanded form of
    • (
      x
      +
      6
      )
    • (
      2
      x
      1
      )
    • (
      x
      7
      )
    • is
  • (i)
    (
    3
    x
    2
     
    83
    x
    +
    42
    )
  • (ii)
    (
    2
    x
    3
     
    3
    x
    2
     
    83
    x
    +
    42
    )
  • (iii)
    (
    x
    3
     
    3
    x
    2
     
    83
    x
    +
    42
    )
  • (iv)
    (
    4
    x
    3
     
    3
    x
    2
     
    83
    x
    +
    42
    )
  • (v)
    (
    3
    x
    3
     
    3
    x
    2
     
    83
    x
    +
    42
    )
Question 6
6.
    • Which of the following terms can be added to
    • (
      7
      j
      l
      )
    • ?
  • (i)
    9
    l
  • (ii)
    k
  • (iii)
    (
    j
    k
    l
    )
  • (iv)
    (
    2
    j
    k
    )
  • (v)
    (
    3
    j
    l
    )
Question 7
7.
    • Which of the following terms can be subtracted from
    • (
      4
      )
    • ?
  • (i)
    (
    7
    j
    4
     
    )
  • (ii)
    (
    2
    j
    2
     
    )
  • (iii)
    7
    j
  • (iv)
    (
    4
    j
    3
     
    )
  • (v)
    (
    7
    )
Question 8
8.
    • The degree of polynomial
    • (
      2
      x
      2
       
      y
      +
      9
      x
      2
       
      +
      9
      x
      y
      2
       
      3
      y
      2
       
      )
    • is
  • (i)
    2
  • (ii)
    1
  • (iii)
    3
  • (iv)
    4
  • (v)
    6
Question 9
9.
    • The value of
    • 3
      q
      r
    • (
      6
      q
      r
      )
    • is
  • (i)
    6
    q
    r
  • (ii)
    10
    q
    r
  • (iii)
    9
    q
    r
  • (iv)
    8
    q
    r
  • (v)
    12
    q
    r
Question 10
10.
    • The value of
    • 1

      2
      p
      q
    • 1

      5
      p
      q
    • is
  • (i)
    1

    2
    p
    q
  • (ii)
    1

    4
    p
    q
  • (iii)
    1

    10
    p
    q
  • (iv)
    3

    10
    p
    q
  • (v)
    3

    8
    p
    q
Question 11
11.
    • Which of the following terms is a like term of
    • 4
      g
      3
       
    • ?
  • (i)
    1
  • (ii)
    9
    g
    3
     
  • (iii)
    4
    g
  • (iv)
    (
    2
    g
    4
     
    )
  • (v)
    (
    6
    g
    2
     
    )
Question 12
12.
Which of the following are not polynomials?
a)
    • x
      +
      1

      x
b)
    • 36
      x
      2
       
c)
    • (
      10
      x
      +
      3
      y
      )
d)
    • (
      10
      x
      +
      3
      y
      )

      (
      2
      x
      11
      y
      )
e)
    • (
      20
      x
      2
       
      104
      x
      y
      33
      y
      2
       
      )
  • (i)
    {c,d}
  • (ii)
    {e,b,a}
  • (iii)
    {c,d,a}
  • (iv)
    {b,a}
  • (v)
    {a,d}
Question 13
13.
    • The value of
    • 3

      4
      a
      2
       
    • 1

      2
      a
      2
       
    • 1

      3
      a
      2
       
    • is
  • (i)
    1

    12
    a
    2
     
  • (ii)
    (
    1

    10
    a
    2
     
    )
  • (iii)
    (
    1

    14
    a
    2
     
    )
  • (iv)
    (
    1

    4
    a
    2
     
    )
  • (v)
    (
    1

    12
    a
    2
     
    )
Question 14
14.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    6
    r
    3
     
    s
    +
    9
    r
    s
    3
     
    t
    2
     
    +
    4
    r
    s
    2
     
    +
    9
    r
    t
    )
  • (ii)
    (
    3
    r
    2
     
    s
    2
     
    t
    3
     
    7
    t
    2
     
    )
  • (iii)
    (
    8
    r
    2
     
    s
    3
     
    t
    3
     
    )
  • (iv)
    0
  • (v)
    (
    2
    r
    3
     
    s
    t
    2
     
    7
    r
    2
     
    s
    3
     
    t
    +
    r
    2
     
    s
    2
     
    t
    )
Question 15
15.
    • The degree of the polynomial
    • (
      9
      w
      5
       
      +
      5
      w
      3
       
      6
      w
      2
       
      +
      w
      +
      7
      )
    • is
  • (i)
    6
  • (ii)
    2
  • (iii)
    5
  • (iv)
    8
  • (v)
    4
Question 16
16.
    • The coefficient of term
    • h
      2
       
    • in polynomial
    • (
      4
      h
      2
       
      i
      3
      h
      2
       
      +
      i
      2
       
      2
      i
      )
    • is
  • (i)
    0
  • (ii)
    -4
  • (iii)
    -2
  • (iv)
    -5
  • (v)
    -3
Question 17
17.
    • The value of
    • 2

      3
    • 1

      2
    • 1

      2
      n
    • is
  • (i)
    1

    2
    n
  • (ii)
    1

    4
    n
  • (iii)
    (
    1

    6
    n
    )
  • (iv)
    1

    6
    n
  • (v)
    1

    8
    n
Question 18
18.
    • The value of
    • (
      9
      g
      +
      7
      h
      i
      +
      h
      )
    • (
      5
      g
      h
      4
      g
      +
      3
      h
      i
      )
    • is
  • (i)
    (
    6
    g
    h
    +
    13
    g
    +
    4
    h
    i
    +
    h
    )
  • (ii)
    (
    5
    g
    h
    +
    16
    g
    +
    4
    h
    i
    +
    h
    )
  • (iii)
    (
    4
    g
    h
    +
    13
    g
    +
    4
    h
    i
    +
    h
    )
  • (iv)
    (
    5
    g
    h
    +
    13
    g
    +
    4
    h
    i
    +
    h
    )
  • (v)
    (
    5
    g
    h
    +
    10
    g
    +
    4
    h
    i
    +
    h
    )
Question 19
19.
    • (
      36
      x
      4
       
      y
      3
       
      +
      144
      x
      3
       
      y
      4
       
      )
    • ÷
    • 6
      x
      2
       
      y
      2
       
    • =
  • (i)
    (
    6
    x
    3
     
    y
    2
     
    +
    24
    x
    y
    2
     
    )
  • (ii)
    (
    6
    x
    2
     
    y
    +
    24
    y
    3
     
    )
  • (iii)
    (
    6
    x
    2
     
    y
    +
    24
    x
    y
    3
     
    z
    )
  • (iv)
    (
    6
    x
    3
     
    y
    3
     
    +
    24
    x
    y
    2
     
    )
  • (v)
    (
    6
    x
    2
     
    y
    +
    24
    x
    y
    2
     
    )
Question 20
20.
    • The value of
    • 2

      3
      q
    • 2

      3
      p
    • 1

      5
    • 1

      2
      p
    • is
  • (i)
    4

    45
    p
    2
     
    q
  • (ii)
    0
  • (iii)
    2

    43
    p
    2
     
    q
  • (iv)
    2

    45
    p
    2
     
    q
  • (v)
    2

    47
    p
    2
     
    q
Question 21
21.
    • The value of
    • 5
      h
      i
      j
    • +
    • (
      4
      h
      i
      j
      )
    • is
  • (i)
    3
    h
    i
    j
  • (ii)
    0
  • (iii)
    2
    h
    i
    j
  • (iv)
    (
    h
    i
    j
    )
  • (v)
    h
    i
    j
Question 22
22.
    • The quotient when
    • 7
      z
    • is divided by
    • (
      1
      )
    • is
  • (i)
    (
    9
    z
    )
  • (ii)
    (
    6
    z
    )
  • (iii)
    (
    7
    z
    )
  • (iv)
    (
    5
    z
    )
  • (v)
    (
    8
    z
    )
Question 23
23.
    • Which of the following terms is a like term of
    • 6
      m
    • ?
  • (i)
    5
    m
    2
     
  • (ii)
    (
    7
    m
    )
  • (iii)
    4
    m
    3
     
  • (iv)
    (
    3
    )
  • (v)
    3
    m
    4
     
Question 24
24.
    • The coefficient of term
    • f
      2
       
    • in polynomial
    • (
      4
      f
      2
       
      5
      f
      +
      6
      )
    • is
  • (i)
    -5
  • (ii)
    -6
  • (iii)
    -4
  • (iv)
    -2
  • (v)
    -3
Question 25
25.
    • The quotient when
    • (
      3
      x
      9
      )
    • is divided by
    • (
      x
      +
      5
      )
    • is
  • (i)
    (
    5
    )
  • (ii)
    (
    3
    )
  • (iii)
    0
  • (iv)
    (
    2
    )
  • (v)
    (
    4
    )
    Assignment Key

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