EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
    • The value of
    • (
      8
      d
      2
       
      e
      2
       
      f
      2
       
      )
    • (
      6
      d
      2
       
      e
      2
       
      f
      2
       
      )
    • is
  • (i)
    (
    d
    2
     
    e
    2
     
    f
    2
     
    )
  • (ii)
    (
    5
    d
    2
     
    e
    2
     
    f
    2
     
    )
  • (iii)
    d
    2
     
    e
    2
     
    f
    2
     
  • (iv)
    (
    3
    d
    2
     
    e
    2
     
    f
    2
     
    )
  • (v)
    (
    2
    d
    2
     
    e
    2
     
    f
    2
     
    )
Question 2
2.
    • The value of
    • (
      2
      y
      2
       
      )
    • 2
      y
      2
       
    • (
      4
      y
      2
       
      )
    • is
  • (i)
    1
  • (ii)
    (
    2
    )
  • (iii)
    0
  • (iv)
    (
    1
    )
  • (v)
    2
Question 3
3.
    • Which of the following terms can be added to
    • (
      3
      j
      i
      k
      )
    • ?
  • (i)
    (
    6
    i
    2
     
    j
    2
     
    k
    2
     
    )
  • (ii)
    6
    i
    2
     
    j
    k
  • (iii)
    (
    5
    i
    2
     
    j
    2
     
    k
    )
  • (iv)
    6
    i
    2
     
    j
    k
    2
     
  • (v)
    (
    8
    i
    j
    k
    )
Question 4
4.
    • The value of
    • 1

      5
      k
      2
       
    • 1

      2
      k
      2
       
    • 3

      5
      k
      2
       
    • is
  • (i)
    (
    9

    10
    k
    2
     
    )
  • (ii)
    (
    7

    10
    k
    2
     
    )
  • (iii)
    (
    11

    10
    k
    2
     
    )
  • (iv)
    (
    9

    8
    k
    2
     
    )
  • (v)
    (
    3

    4
    k
    2
     
    )
Question 5
5.
    • The value of
    • 5
      i
      j
      k
    • (
      5
      i
      2
       
      j
      +
      i
      j
      k
      2
       
      3
      i
      )
    • is
  • (i)
    (
    25
    i
    3
     
    j
    2
     
    k
    +
    3
    i
    2
     
    j
    2
     
    k
    3
     
    15
    i
    2
     
    j
    k
    )
  • (ii)
    (
    26
    i
    3
     
    j
    2
     
    k
    +
    5
    i
    2
     
    j
    2
     
    k
    3
     
    15
    i
    2
     
    j
    k
    )
  • (iii)
    (
    25
    i
    3
     
    j
    2
     
    k
    +
    7
    i
    2
     
    j
    2
     
    k
    3
     
    15
    i
    2
     
    j
    k
    )
  • (iv)
    (
    25
    i
    3
     
    j
    2
     
    k
    +
    5
    i
    2
     
    j
    2
     
    k
    3
     
    15
    i
    2
     
    j
    k
    )
  • (v)
    (
    24
    i
    3
     
    j
    2
     
    k
    +
    5
    i
    2
     
    j
    2
     
    k
    3
     
    15
    i
    2
     
    j
    k
    )
Question 6
6.
    • The value of
    • 3
      k
    • (
      4
      j
      k
      2
       
      3
      )
    • is
  • (i)
    (
    13
    j
    k
    3
     
    9
    k
    )
  • (ii)
    (
    12
    j
    k
    3
     
    9
    k
    )
  • (iii)
    (
    12
    j
    k
    3
     
    7
    k
    )
  • (iv)
    (
    12
    j
    k
    3
     
    11
    k
    )
  • (v)
    (
    11
    j
    k
    3
     
    9
    k
    )
Question 7
7.
    • The degree of polynomial
    • (
      4
      s
      t
      7
      s
      7
      t
      +
      1
      )
    • is
  • (i)
    3
  • (ii)
    4
  • (iii)
    2
  • (iv)
    (-1)
  • (v)
    1
Question 8
8.
    • (
      6
      x
      4
       
      55
      x
      3
       
      +
      51
      x
      2
       
      +
      40
      x
      )
    • ÷
    • (
      3
      x
      2
       
      29
      x
      +
      40
      )
  • (i)
    (
    2
    x
    2
     
    +
    2
    x
    )
  • (ii)
    (
    2
    x
    2
     
    +
    x
    )
  • (iii)
    (
    2
    x
    2
     
    +
    x
    )
  • (iv)
    (
    2
    x
    2
     
    x
    )
  • (v)
    2
    x
    2
     
Question 9
9.
    • The degree of polynomial
    • (
      4
      k
      2
       
      l
      2
       
      9
      k
      2
       
      l
      +
      16
      k
      l
      4
      k
      )
    • is
  • (i)
    2
  • (ii)
    3
  • (iii)
    4
  • (iv)
    7
  • (v)
    5
Question 10
10.
    • The remainder when
    • (
      6
      v
      3
       
      +
      9
      v
      2
       
      +
      3
      v
      +
      6
      )
    • is divided by
    • (
      v
      2
       
      17
      v
      +
      72
      )
    • is
  • (i)
    (
    1148
    v
    +
    6702
    )
  • (ii)
    (
    1144
    v
    +
    6702
    )
  • (iii)
    (
    1146
    v
    +
    6702
    )
  • (iv)
    (
    1147
    v
    +
    6702
    )
  • (v)
    (
    1145
    v
    +
    6702
    )
Question 11
11.
    • The quotient when
    • 6
      z
    • is divided by
    • (
      3
      )
    • is
  • (i)
    (
    2
    z
    )
  • (ii)
    (
    5
    z
    )
  • (iii)
    (
    3
    z
    )
  • (iv)
    (
    z
    )
  • (v)
    z
Question 12
12.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    3
    n
    3
     
    p
    +
    5
    n
    2
     
    o
    3
     
    p
    3
     
    9
    n
    o
    3
     
    p
    3
     
    +
    3
    n
    o
    3
     
    p
    2
     
    )
  • (ii)
    (
    n
    o
    3
     
    p
    2
     
    )
  • (iii)
    (
    2
    n
    2
     
    o
    p
    2
    n
    p
    2
     
    )
  • (iv)
    (
    2
    n
    3
     
    o
    p
    2
     
    +
    6
    n
    2
     
    o
    2
    n
    p
    2
     
    )
  • (v)
    3
Question 13
13.
    • Which of the following is a like term of
    • (
      6
      q
      2
       
      r
      p
      2
       
      )
    • ?
  • (i)
    2
    p
    q
    2
     
    r
  • (ii)
    (
    p
    2
     
    q
    r
    )
  • (iii)
    (
    3
    p
    q
    r
    2
     
    )
  • (iv)
    (
    8
    p
    2
     
    q
    r
    2
     
    )
  • (v)
    (
    6
    p
    2
     
    q
    2
     
    r
    )
Question 14
14.
    • The value of
    • 2

      5
      m
      2
       
    • 1

      3
      m
    • 1

      2
      m
      2
       
    • is
  • (i)
    1

    13
    m
    5
     
  • (ii)
    (
    1

    15
    m
    5
     
    )
  • (iii)
    1

    15
    m
    5
     
  • (iv)
    1

    5
    m
    5
     
  • (v)
    1

    17
    m
    5
     
Question 15
15.
    • The value of
    • 1

      2
    • (
      3

      5
      s
      2
       
      t
      2
       
      u
      +
      3

      5
      s
      u
      +
      1

      3
      t
      u
      )
    • is
  • (i)
    (
    3

    8
    s
    2
     
    t
    2
     
    u
    +
    3

    10
    s
    u
    +
    1

    6
    t
    u
    )
  • (ii)
    (
    3

    10
    s
    2
     
    t
    2
     
    u
    +
    1

    10
    s
    u
    +
    1

    6
    t
    u
    )
  • (iii)
    (
    3

    10
    s
    2
     
    t
    2
     
    u
    +
    1

    2
    s
    u
    +
    1

    6
    t
    u
    )
  • (iv)
    (
    3

    10
    s
    2
     
    t
    2
     
    u
    +
    3

    10
    s
    u
    +
    1

    6
    t
    u
    )
  • (v)
    (
    1

    4
    s
    2
     
    t
    2
     
    u
    +
    3

    10
    s
    u
    +
    1

    6
    t
    u
    )
Question 16
16.
    • The value of
    • (
      7
      d
      2
       
      e
      2
       
      +
      9
      d
      e
      2
       
      +
      9
      d
      4
      )
    • (
      2
      d
      2
       
      e
      +
      d
      +
      5
      e
      2
       
      +
      9
      e
      )
    • is
  • (i)
    (
    7
    d
    2
     
    e
    2
     
    2
    d
    2
     
    e
    +
    9
    d
    e
    2
     
    +
    8
    d
    5
    e
    2
     
    9
    e
    4
    )
  • (ii)
    (
    7
    d
    2
     
    e
    2
     
    4
    d
    2
     
    e
    +
    9
    d
    e
    2
     
    +
    8
    d
    5
    e
    2
     
    9
    e
    4
    )
  • (iii)
    (
    6
    d
    2
     
    e
    2
     
    2
    d
    2
     
    e
    +
    9
    d
    e
    2
     
    +
    8
    d
    5
    e
    2
     
    9
    e
    4
    )
  • (iv)
    (
    8
    d
    2
     
    e
    2
     
    2
    d
    2
     
    e
    +
    9
    d
    e
    2
     
    +
    8
    d
    5
    e
    2
     
    9
    e
    4
    )
  • (v)
    (
    7
    d
    2
     
    e
    2
     
    +
    9
    d
    e
    2
     
    +
    8
    d
    5
    e
    2
     
    9
    e
    4
    )
Question 17
17.
    • (
      3
      x
      4
       
      +
      15
      x
      3
       
      )
    • ÷
    • 3
      x
      2
       
  • (i)
    (
    x
    2
     
    +
    5
    x
    )
  • (ii)
    (
    x
    2
     
    +
    6
    x
    )
  • (iii)
    (
    x
    2
     
    +
    5
    x
    )
  • (iv)
    (
    x
    2
     
    5
    x
    )
  • (v)
    5
    x
Question 18
18.
    • Which of the following is a like term of
    • (
      9
      d
      2
       
      )
    • ?
  • (i)
    (
    9
    c
    d
    e
    )
  • (ii)
    7
    d
    2
     
  • (iii)
    (
    4
    c
    2
     
    d
    )
  • (iv)
    (
    d
    )
  • (v)
    c
    2
     
    d
    2
     
    e
Question 19
19.
    • The coefficient of term
    • k
    • in polynomial
    • (
      2
      k
      3
       
      +
      k
      2
       
      9
      k
      9
      )
    • is
  • (i)
    -6
  • (ii)
    -11
  • (iii)
    -10
  • (iv)
    -8
  • (v)
    -9
Question 20
20.
    • The value of
    • 3
      m
      o
      2
       
    • 5
      n
    • is
  • (i)
    15
    m
    n
    o
    2
     
  • (ii)
    13
    m
    n
    o
    2
     
  • (iii)
    16
    m
    n
    o
    2
     
  • (iv)
    14
    m
    n
    o
    2
     
  • (v)
    18
    m
    n
    o
    2
     
Question 21
21.
    • The remainder when
    • (
      b
      3
       
      +
      9
      b
      +
      6
      )
    • is divided by
    • (
      b
      2
       
      +
      9
      b
      +
      8
      )
    • is
  • (i)
    (
    63
    b
    66
    )
  • (ii)
    (
    65
    b
    66
    )
  • (iii)
    (
    64
    b
    66
    )
  • (iv)
    (
    61
    b
    66
    )
  • (v)
    (
    67
    b
    66
    )
Question 22
22.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    7
    g
    2
     
    h
    i
    3
     
    )
  • (ii)
    (
    7
    h
    i
    2
    )
  • (iii)
    (
    6
    g
    2
     
    h
    2
     
    3
    g
    2
     
    i
    2
     
    +
    3
    g
    h
    2
     
    i
    g
    i
    )
  • (iv)
    (
    2
    g
    3
     
    h
    i
    2
     
    3
    g
    3
     
    h
    i
    +
    g
    h
    3
     
    i
    2
     
    +
    g
    h
    2
     
    )
  • (v)
    (
    3
    g
    2
     
    h
    3
     
    i
    3
     
    +
    5
    g
    2
     
    +
    3
    h
    2
     
    i
    )
Question 23
23.
Which of the following are not polynomials?
a)
    • (
      60
      x
      2
       
      +
      38
      x
      y
      56
      y
      2
       
      )
b)
    • (
      6
      x
      +
      8
      y
      )

      (
      10
      x
      7
      y
      )
c)
    • 100
      x
      2
       
d)
    • x
      +
      1

      x
e)
    • (
      6
      x
      +
      8
      y
      )
  • (i)
    {c,d}
  • (ii)
    {c,d,b}
  • (iii)
    {a,b}
  • (iv)
    {b,d}
  • (v)
    {e,a,b}
Question 24
24.
    • The quotient when
    • (
      4
      h
      2
      )
    • is divided by
    • (
      h
      9
      )
    • is
  • (i)
    3
  • (ii)
    2
  • (iii)
    4
  • (iv)
    5
  • (v)
    6
Question 25
25.
    • The degree of polynomial
    • (
      2
      c
      2
       
      d
      2
       
      +
      8
      c
      2
       
      d
      e
      +
      6
      c
      e
      2
       
      2
      d
      5
      )
    • is
  • (i)
    4
  • (ii)
    2
  • (iii)
    7
  • (iv)
    3
  • (v)
    5
    Assignment Key

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