EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    9
    g
    4
     
    6
    g
    3
     
    3
    g
    2
     
    +
    5
    g
    +
    4
    )
  • (ii)
    0
  • (iii)
    (
    9
    g
    4
     
    +
    6
    g
    3
     
    )
  • (iv)
    (
    5
    g
    )
  • (v)
    (
    8
    g
    4
     
    +
    7
    g
    3
     
    +
    4
    )
Question 2
2.
    • Which of the following terms is a like term of
    • (
      6
      y
      )
    • ?
  • (i)
    (
    8
    y
    3
     
    )
  • (ii)
    5
    y
  • (iii)
    9
    y
    2
     
  • (iv)
    (
    6
    y
    4
     
    )
  • (v)
    (
    3
    )
Question 3
3.
    • Find the remainder when
    • (
      2
      x
      2
       
      x
      15
      )
    • is divided by
    • (
      2
      x
      +
      3
      )
  • (i)
    -6
  • (ii)
    -12
  • (iii)
    -10
  • (iv)
    -9
  • (v)
    -8
Question 4
4.
    • The quotient when
    • (
      2
      e
      +
      6
      )
    • is divided by
    • (
      e
      4
      )
    • is
  • (i)
    (
    2
    )
  • (ii)
    (
    1
    )
  • (iii)
    (
    3
    )
  • (iv)
    0
  • (v)
    (
    5
    )
Question 5
5.
    • Which of the following terms can be subtracted from
    • (
      2
      c
      4
       
      )
    • ?
  • (i)
    6
    c
    3
     
  • (ii)
    5
  • (iii)
    (
    c
    )
  • (iv)
    (
    3
    c
    2
     
    )
  • (v)
    2
    c
    4
     
Question 6
6.
    • The value of
    • 1

      5
      x
      5
       
    • 1

      3
      x
      5
       
    • 2

      3
      x
      5
       
    • is
  • (i)
    (
    2

    5
    x
    5
     
    )
  • (ii)
    (
    4

    3
    x
    5
     
    )
  • (iii)
    (
    4

    7
    x
    5
     
    )
  • (iv)
    (
    6

    5
    x
    5
     
    )
  • (v)
    (
    4

    5
    x
    5
     
    )
Question 7
7.
    • The constant term in polynomial
    • (
      8
      p
      3
       
      8
      p
      2
       
      +
      8
      p
      +
      1
      )
    • is
  • (i)
    -2
  • (ii)
    2
  • (iii)
    4
  • (iv)
    0
  • (v)
    1
Question 8
8.
Which of the following are polynomials?
a)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
b)
    • (
      x
      +
      y
      )
c)
    • x
      2
       
      +
      1

      x
      2
       
d)
    • x
      +
      1

      x
e)
    • x
      2
       
  • (i)
    {c,e,b}
  • (ii)
    {c,e}
  • (iii)
    {a,b}
  • (iv)
    {b,e}
  • (v)
    {d,a,b}
Question 9
9.
    • The value of
    • 9
      g
      2
       
      h
      2
       
    • +
    • 2
      g
      2
       
      h
      2
       
    • +
    • g
      2
       
      h
      2
       
    • +
    • (
      2
      g
      2
       
      h
      2
       
      )
    • is
  • (i)
    11
    g
    2
     
    h
    2
     
  • (ii)
    10
    g
    2
     
    h
    2
     
  • (iii)
    7
    g
    2
     
    h
    2
     
  • (iv)
    12
    g
    2
     
    h
    2
     
  • (v)
    9
    g
    2
     
    h
    2
     
Question 10
10.
    • Which of the following terms can be added to
    • (
      3
      z
      4
       
      )
    • ?
  • (i)
    4
    z
    3
     
  • (ii)
    5
    z
  • (iii)
    (
    5
    )
  • (iv)
    2
    z
    2
     
  • (v)
    (
    6
    z
    4
     
    )
Question 11
11.
    • The value of
    • 1

      4
      h
      i
    • (
      2

      3
      g
      h
      i
      +
      1

      2
      i
      2
       
      )
    • is
  • (i)
    (
    1

    6
    g
    h
    2
     
    i
    2
     
    +
    3

    8
    h
    i
    3
     
    )
  • (ii)
    (
    1

    8
    g
    h
    2
     
    i
    2
     
    +
    1

    8
    h
    i
    3
     
    )
  • (iii)
    (
    1

    6
    g
    h
    2
     
    i
    2
     
    1

    8
    h
    i
    3
     
    )
  • (iv)
    (
    1

    4
    g
    h
    2
     
    i
    2
     
    +
    1

    8
    h
    i
    3
     
    )
  • (v)
    (
    1

    6
    g
    h
    2
     
    i
    2
     
    +
    1

    8
    h
    i
    3
     
    )
Question 12
12.
    • Which of the following is a like term of
    • 4
      d
      e
      2
       
    • ?
  • (i)
    4
    d
    2
     
  • (ii)
    (
    3
    d
    e
    2
     
    )
  • (iii)
    (
    2
    e
    )
  • (iv)
    (
    3
    e
    2
     
    )
  • (v)
    6
Question 13
13.
    • Which of the following terms can be added to
    • (
      7
      h
      2
       
      i
      2
       
      )
    • ?
  • (i)
    (
    2
    )
  • (ii)
    4
    g
    2
     
    h
    i
    2
     
  • (iii)
    8
    h
    2
     
    i
    2
     
  • (iv)
    (
    9
    g
    h
    2
     
    i
    )
  • (v)
    (
    9
    g
    2
     
    )
Question 14
14.
    • The quotient when
    • 2
      h
    • is divided by
    • (
      1
      )
    • is
  • (i)
    h
  • (ii)
    (
    h
    )
  • (iii)
    (
    2
    h
    )
  • (iv)
    (
    4
    h
    )
  • (v)
    (
    3
    h
    )
Question 15
15.
    • The sum of the expressions
    • (
      6
      c
      2
      )
    • ,
    • (
      2
      d
      +
      2
      )
    • ,
    • (
      5
      c
      d
      4
      )
    • ,
    • (
      c
      d
      +
      4
      c
      )
    • ,
    • (
      5
      c
      d
      +
      9
      d
      )
    • is
  • (i)
    (
    12
    c
    d
    +
    10
    c
    +
    11
    d
    4
    )
  • (ii)
    (
    11
    c
    d
    +
    7
    c
    +
    11
    d
    4
    )
  • (iii)
    (
    11
    c
    d
    +
    13
    c
    +
    11
    d
    4
    )
  • (iv)
    (
    11
    c
    d
    +
    10
    c
    +
    11
    d
    4
    )
  • (v)
    (
    10
    c
    d
    +
    10
    c
    +
    11
    d
    4
    )
Question 16
16.
    • The value of
    • 1

      5
      q
      2
       
    • +
    • 3

      4
      q
      2
       
    • +
    • 1

      4
      q
      2
       
    • is
  • (i)
    8

    5
    q
    2
     
  • (ii)
    6

    7
    q
    2
     
  • (iii)
    6

    5
    q
    2
     
  • (iv)
    2
    q
    2
     
  • (v)
    4

    5
    q
    2
     
Question 17
17.
Which of the following are not polynomials?
a)
    • 9
      x
      2
       
b)
    • 9
      x
      2
       
      +
      1

      9
      x
      2
       
c)
    • (
      5
      x
      5
      y
      )
d)
    • (
      8
      x
      +
      11
      y
      )
e)
    • √x
  • (i)
    {a,b}
  • (ii)
    {c,e}
  • (iii)
    {c,e,b}
  • (iv)
    {d,a,b}
  • (v)
    {b,e}
Question 18
18.
    • Which of the following terms can be subtracted from
    • 6
      e
      2
       
      f
      2
       
      d
    • ?
  • (i)
    4
    d
    e
    2
     
    f
  • (ii)
    (
    4
    d
    e
    2
     
    f
    2
     
    )
  • (iii)
    2
    d
    2
     
    e
    f
    2
     
  • (iv)
    6
    d
    e
    f
  • (v)
    7
    d
    2
     
    e
    2
     
    f
    2
     
Question 19
19.
    • The degree of polynomial
    • (
      7
      p
      2
       
      q
      2
       
      +
      7
      p
      2
       
      r
      +
      4
      p
      r
      5
      q
      2
       
      r
      2
       
      7
      q
      2
       
      r
      )
    • is
  • (i)
    5
  • (ii)
    3
  • (iii)
    6
  • (iv)
    2
  • (v)
    4
Question 20
20.
    • The value of
    • (
      7
      q
      r
      +
      7
      r
      )
    • (
      6
      q
      +
      16
      r
      )
    • (
      r
      9
      )
    • is
  • (i)
    (
    41
    q
    2
     
    r
    2
     
    378
    q
    2
     
    r
    112
    q
    r
    3
     
    1050
    q
    r
    2
     
    378
    q
    r
    112
    r
    3
     
    1008
    r
    2
     
    )
  • (ii)
    (
    42
    q
    2
     
    r
    2
     
    378
    q
    2
     
    r
    112
    q
    r
    3
     
    1050
    q
    r
    2
     
    378
    q
    r
    112
    r
    3
     
    1008
    r
    2
     
    )
  • (iii)
    (
    42
    q
    2
     
    r
    2
     
    381
    q
    2
     
    r
    112
    q
    r
    3
     
    1050
    q
    r
    2
     
    378
    q
    r
    112
    r
    3
     
    1008
    r
    2
     
    )
  • (iv)
    (
    43
    q
    2
     
    r
    2
     
    378
    q
    2
     
    r
    112
    q
    r
    3
     
    1050
    q
    r
    2
     
    378
    q
    r
    112
    r
    3
     
    1008
    r
    2
     
    )
  • (v)
    (
    42
    q
    2
     
    r
    2
     
    376
    q
    2
     
    r
    112
    q
    r
    3
     
    1050
    q
    r
    2
     
    378
    q
    r
    112
    r
    3
     
    1008
    r
    2
     
    )
Question 21
21.
    • The value of
    • (
      9
      y
      2
       
      +
      y
      +
      2
      )
    • (
      4
      y
      2
       
      7
      y
      9
      )
    • is
  • (i)
    (
    3
    y
    2
     
    +
    8
    y
    +
    11
    )
  • (ii)
    (
    7
    y
    2
     
    +
    8
    y
    +
    11
    )
  • (iii)
    (
    6
    y
    2
     
    +
    8
    y
    +
    11
    )
  • (iv)
    (
    4
    y
    2
     
    +
    8
    y
    +
    11
    )
  • (v)
    (
    5
    y
    2
     
    +
    8
    y
    +
    11
    )
Question 22
22.
    • The value of
    • 1

      2
      e
    • 1

      5
      f
    • 1

      4
      f
    • 1

      4
      d
      e
      f
    • is
  • (i)
    1

    160
    d
    e
    2
     
    f
    3
     
  • (ii)
    3

    160
    d
    e
    2
     
    f
    3
     
  • (iii)
    (
    1

    160
    d
    e
    2
     
    f
    3
     
    )
  • (iv)
    1

    162
    d
    e
    2
     
    f
    3
     
  • (v)
    1

    158
    d
    e
    2
     
    f
    3
     
Question 23
23.
    • The value of
    • (
      5
      w
      2
       
      8
      w
      4
      )
    • +
    • (
      7
      w
      2
       
      +
      5
      w
      1
      )
    • is
  • (i)
    (
    w
    2
     
    3
    w
    5
    )
  • (ii)
    (
    4
    w
    2
     
    3
    w
    5
    )
  • (iii)
    (
    3
    w
    2
     
    3
    w
    5
    )
  • (iv)
    (
    2
    w
    2
     
    3
    w
    5
    )
  • (v)
    (
    w
    2
     
    3
    w
    5
    )
Question 24
24.
    • The value of
    • i
      2
       
      j
      2
       
      k
      2
       
    • 7
      i
      2
       
      j
      2
       
      k
      2
       
    • is
  • (i)
    (
    5
    i
    2
     
    j
    2
     
    k
    2
     
    )
  • (ii)
    (
    6
    i
    2
     
    j
    2
     
    k
    2
     
    )
  • (iii)
    (
    7
    i
    2
     
    j
    2
     
    k
    2
     
    )
  • (iv)
    (
    3
    i
    2
     
    j
    2
     
    k
    2
     
    )
  • (v)
    (
    8
    i
    2
     
    j
    2
     
    k
    2
     
    )
Question 25
25.
    • The value of
    • (
      l
      )
    • (
      5
      k
      l
      m
      2
      m
      )
    • is
  • (i)
    (
    4
    k
    l
    2
     
    m
    +
    2
    l
    m
    )
  • (ii)
    (
    6
    k
    l
    2
     
    m
    +
    2
    l
    m
    )
  • (iii)
    (
    5
    k
    l
    2
     
    m
    +
    4
    l
    m
    )
  • (iv)
    (
    5
    k
    l
    2
     
    m
    l
    m
    )
  • (v)
    (
    5
    k
    l
    2
     
    m
    +
    2
    l
    m
    )
    Assignment Key

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