EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : SSC Grade VII
License : Non Commercial Use
Question 1
1.
    • The sum of the terms
    • (
      5
      s
      )
    • ,
    • (
      3
      s
      )
    • ,
    • s
    • ,
    • 6
      s
      t
    • ,
    • 4
    • is
  • (i)
    (
    7
    s
    t
    7
    s
    +
    4
    )
  • (ii)
    (
    5
    s
    t
    7
    s
    +
    4
    )
  • (iii)
    (
    6
    s
    t
    9
    s
    +
    4
    )
  • (iv)
    (
    6
    s
    t
    7
    s
    +
    4
    )
  • (v)
    (
    6
    s
    t
    5
    s
    +
    4
    )
Question 2
2.
    • The value of
    • 2

      3
      b
      5
       
    • 1

      3
      b
      5
       
    • 1

      3
      b
      5
       
    • is
  • (i)
    2
  • (ii)
    (
    2
    )
  • (iii)
    1
  • (iv)
    0
  • (v)
    (
    1
    )
Question 3
3.
    • The value of
    • (
      3
      i
      2
       
      j
      2
       
      k
      2
       
      +
      8
      i
      2
       
      k
      +
      2
      i
      j
      )
    • +
    • (
      3
      i
      k
      2
       
      5
      i
      k
      4
      k
      )
    • +
    • (
      2
      i
      2
       
      j
      k
      2
       
      +
      5
      i
      j
      k
      +
      3
      j
      k
      )
    • is
  • (i)
    (
    2
    i
    2
     
    j
    2
     
    k
    2
     
    2
    i
    2
     
    j
    k
    2
     
    +
    8
    i
    2
     
    k
    +
    5
    i
    j
    k
    +
    2
    i
    j
    3
    i
    k
    2
     
    5
    i
    k
    +
    3
    j
    k
    4
    k
    )
  • (ii)
    (
    3
    i
    2
     
    j
    2
     
    k
    2
     
    2
    i
    2
     
    j
    k
    2
     
    +
    8
    i
    2
     
    k
    +
    5
    i
    j
    k
    +
    2
    i
    j
    3
    i
    k
    2
     
    5
    i
    k
    +
    3
    j
    k
    4
    k
    )
  • (iii)
    (
    4
    i
    2
     
    j
    2
     
    k
    2
     
    2
    i
    2
     
    j
    k
    2
     
    +
    8
    i
    2
     
    k
    +
    5
    i
    j
    k
    +
    2
    i
    j
    3
    i
    k
    2
     
    5
    i
    k
    +
    3
    j
    k
    4
    k
    )
  • (iv)
    (
    3
    i
    2
     
    j
    2
     
    k
    2
     
    +
    i
    2
     
    j
    k
    2
     
    +
    8
    i
    2
     
    k
    +
    5
    i
    j
    k
    +
    2
    i
    j
    3
    i
    k
    2
     
    5
    i
    k
    +
    3
    j
    k
    4
    k
    )
  • (v)
    (
    3
    i
    2
     
    j
    2
     
    k
    2
     
    4
    i
    2
     
    j
    k
    2
     
    +
    8
    i
    2
     
    k
    +
    5
    i
    j
    k
    +
    2
    i
    j
    3
    i
    k
    2
     
    5
    i
    k
    +
    3
    j
    k
    4
    k
    )
Question 4
4.
    • The value of
    • (
      4
      g
      2
       
      h
      2
       
      i
      2
       
      )
    • 8
      g
      2
       
      h
      2
       
      i
      2
       
    • is
  • (i)
    (
    11
    g
    2
     
    h
    2
     
    i
    2
     
    )
  • (ii)
    (
    14
    g
    2
     
    h
    2
     
    i
    2
     
    )
  • (iii)
    (
    9
    g
    2
     
    h
    2
     
    i
    2
     
    )
  • (iv)
    (
    12
    g
    2
     
    h
    2
     
    i
    2
     
    )
  • (v)
    (
    13
    g
    2
     
    h
    2
     
    i
    2
     
    )
Question 5
5.
    • The value of
    • 1

      5
      g
      h
    • +
    • 1

      4
      g
      h
    • is
  • (i)
    11

    20
    g
    h
  • (ii)
    7

    20
    g
    h
  • (iii)
    9

    22
    g
    h
  • (iv)
    1

    2
    g
    h
  • (v)
    9

    20
    g
    h
Question 6
6.
    • The value of
    • 3

      4
      v
      3
       
    • 1

      2
      v
      3
       
    • is
  • (i)
    (
    1

    4
    v
    3
     
    )
  • (ii)
    1

    6
    v
    3
     
  • (iii)
    3

    4
    v
    3
     
  • (iv)
    1

    2
    v
    3
     
  • (v)
    1

    4
    v
    3
     
Question 7
7.
    • The value of
    • (
      6
      r
      2
       
      s
      2
       
      t
      2
       
      )
    • (
      r
      2
       
      s
      2
       
      t
      2
       
      )
    • 2
      r
      2
       
      s
      2
       
      t
      2
       
    • (
      4
      r
      2
       
      s
      2
       
      t
      2
       
      )
    • is
  • (i)
    (
    3
    r
    2
     
    s
    2
     
    t
    2
     
    )
  • (ii)
    0
  • (iii)
    (
    4
    r
    2
     
    s
    2
     
    t
    2
     
    )
  • (iv)
    (
    2
    r
    2
     
    s
    2
     
    t
    2
     
    )
  • (v)
    (
    6
    r
    2
     
    s
    2
     
    t
    2
     
    )
Question 8
8.
    • The value of
    • 2

      3
      c
      2
       
    • +
    • 1

      2
      c
      2
       
    • +
    • 2

      5
      c
      2
       
    • is
  • (i)
    49

    30
    c
    2
     
  • (ii)
    47

    30
    c
    2
     
  • (iii)
    45

    28
    c
    2
     
  • (iv)
    3

    2
    c
    2
     
  • (v)
    49

    32
    c
    2
     
Question 9
9.
    • The value of
    • (
      5
      k
      3
       
      3
      k
      2
       
      +
      5
      )
    • +
    • (
      2
      k
      3
       
      +
      7
      k
      6
      )
    • +
    • (
      5
      k
      4
       
      +
      k
      3
       
      3
      k
      )
    • +
    • (
      6
      k
      3
       
      +
      2
      k
      2
       
      +
      5
      )
    • is
  • (i)
    (
    2
    k
    4
     
    2
    k
    3
     
    k
    2
     
    +
    4
    k
    +
    4
    )
  • (ii)
    (
    5
    k
    4
     
    2
    k
    3
     
    k
    2
     
    +
    4
    k
    +
    4
    )
  • (iii)
    (
    4
    k
    4
     
    2
    k
    3
     
    k
    2
     
    +
    4
    k
    +
    4
    )
  • (iv)
    (
    7
    k
    4
     
    2
    k
    3
     
    k
    2
     
    +
    4
    k
    +
    4
    )
  • (v)
    (
    6
    k
    4
     
    2
    k
    3
     
    k
    2
     
    +
    4
    k
    +
    4
    )
Question 10
10.
    • The value of the polynomial
    • (
      i
      4
       
      +
      i
      3
       
      +
      8
      i
      2
       
      +
      6
      i
      +
      5
      )
    • at
    •  
    • i
    • =
    • 3
    • is
  • (i)
    201
  • (ii)
    204
  • (iii)
    203
  • (iv)
    202
  • (v)
    206
Question 11
11.
    • Which of the following terms can be added to
    • (
      9
      n
      2
       
      )
    • ?
  • (i)
    2
  • (ii)
    2
    n
    2
     
  • (iii)
    (
    n
    o
    2
     
    p
    )
  • (iv)
    4
    n
    o
    2
     
  • (v)
    (
    3
    o
    p
    2
     
    )
Question 12
12.
    • The sum of the expressions
    • (
      6
      w
      x
      +
      6
      x
      )
    • ,
    • (
      2
      w
      x
      +
      4
      w
      )
    • ,
    • (
      8
      w
      x
      +
      7
      w
      )
    • ,
    • (
      6
      x
      4
      )
    • ,
    • (
      7
      w
      2
      x
      )
    • is
  • (i)
    (
    4
    w
    x
    +
    16
    w
    +
    10
    x
    4
    )
  • (ii)
    (
    5
    w
    x
    +
    18
    w
    +
    10
    x
    4
    )
  • (iii)
    (
    4
    w
    x
    +
    18
    w
    +
    10
    x
    4
    )
  • (iv)
    (
    4
    w
    x
    +
    20
    w
    +
    10
    x
    4
    )
  • (v)
    (
    3
    w
    x
    +
    18
    w
    +
    10
    x
    4
    )
Question 13
13.
    • Which of the following terms can be subtracted from
    • 8
      w
      2
       
      x
      v
    • ?
  • (i)
    3
    v
    w
    2
     
    x
  • (ii)
    3
    v
    w
    2
     
    x
    2
     
  • (iii)
    2
    v
    w
    x
    2
     
  • (iv)
    (
    9
    v
    2
     
    w
    x
    2
     
    )
  • (v)
    (
    6
    v
    2
     
    w
    x
    )
Question 14
14.
    • The sum of the terms
    • 4
      k
      m
    • ,
    • (
      3
      m
      )
    • ,
    • (
      8
      k
      )
    • ,
    • 7
      k
      m
    • ,
    • 3
      k
      m
    • is
  • (i)
    (
    13
    k
    m
    8
    k
    3
    m
    )
  • (ii)
    (
    14
    k
    m
    10
    k
    3
    m
    )
  • (iii)
    (
    15
    k
    m
    8
    k
    3
    m
    )
  • (iv)
    (
    14
    k
    m
    8
    k
    3
    m
    )
  • (v)
    (
    14
    k
    m
    6
    k
    3
    m
    )
Question 15
15.
    • The value of
    • (
      7
      d
      e
      +
      4
      d
      7
      )
    • +
    • (
      3
      d
      e
      5
      )
    • is
  • (i)
    (
    7
    d
    e
    +
    5
    d
    e
    12
    )
  • (ii)
    (
    7
    d
    e
    +
    9
    d
    e
    12
    )
  • (iii)
    (
    8
    d
    e
    +
    7
    d
    e
    12
    )
  • (iv)
    (
    7
    d
    e
    +
    7
    d
    e
    12
    )
  • (v)
    (
    6
    d
    e
    +
    7
    d
    e
    12
    )
Question 16
16.
    • Which of the following is a like term of
    • 6
      v
      2
       
    • ?
  • (i)
    (
    2
    u
    v
    2
     
    )
  • (ii)
    (
    2
    u
    2
     
    v
    2
     
    )
  • (iii)
    (
    4
    v
    2
     
    )
  • (iv)
    6
    u
  • (v)
    7
    u
    v
Question 17
17.
    • The coefficient of term
    • v
      2
       
    • in polynomial
    • (
      9
      v
      2
       
      7
      v
      +
      4
      )
    • is
  • (i)
    -6
  • (ii)
    -10
  • (iii)
    -9
  • (iv)
    -12
  • (v)
    -8
Question 18
18.
    • The constant term in polynomial
    • (
      8
      b
      3
       
      7
      b
      2
       
      2
      b
      5
      )
    • is
  • (i)
    -3
  • (ii)
    -8
  • (iii)
    -4
  • (iv)
    -6
  • (v)
    -5
Question 19
19.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    4
  • (ii)
    (
    9
    w
    2
     
    2
    w
    +
    1
    )
  • (iii)
    (
    9
    w
    3
     
    +
    9
    w
    2
     
    +
    2
    w
    +
    2
    )
  • (iv)
    (
    7
    w
    3
    )
  • (v)
    (
    7
    w
    5
     
    5
    w
    3
     
    +
    3
    w
    2
     
    3
    w
    +
    9
    )
Question 20
20.
    • The value of
    • (
      3
      r
      2
       
      s
      +
      5
      r
      s
      2
       
      t
      2
       
      5
      s
      2
       
      t
      2
       
      )
    • (
      r
      2
       
      s
      2
       
      +
      r
      t
      2
       
      +
      3
      s
      2
       
      )
    • (
      8
      r
      2
       
      s
      2
       
      +
      t
      7
      )
    • is
  • (i)
    (
    7
    r
    2
     
    s
    2
     
    +
    5
    r
    2
     
    s
    +
    5
    r
    s
    2
     
    t
    2
     
    r
    t
    2
     
    5
    s
    2
     
    t
    2
     
    3
    s
    2
     
    t
    +
    7
    )
  • (ii)
    (
    8
    r
    2
     
    s
    2
     
    +
    3
    r
    2
     
    s
    +
    5
    r
    s
    2
     
    t
    2
     
    r
    t
    2
     
    5
    s
    2
     
    t
    2
     
    3
    s
    2
     
    t
    +
    7
    )
  • (iii)
    (
    7
    r
    2
     
    s
    2
     
    +
    r
    2
     
    s
    +
    5
    r
    s
    2
     
    t
    2
     
    r
    t
    2
     
    5
    s
    2
     
    t
    2
     
    3
    s
    2
     
    t
    +
    7
    )
  • (iv)
    (
    7
    r
    2
     
    s
    2
     
    +
    3
    r
    2
     
    s
    +
    5
    r
    s
    2
     
    t
    2
     
    r
    t
    2
     
    5
    s
    2
     
    t
    2
     
    3
    s
    2
     
    t
    +
    7
    )
  • (v)
    (
    6
    r
    2
     
    s
    2
     
    +
    3
    r
    2
     
    s
    +
    5
    r
    s
    2
     
    t
    2
     
    r
    t
    2
     
    5
    s
    2
     
    t
    2
     
    3
    s
    2
     
    t
    +
    7
    )
Question 21
21.
    • Which of the following terms can be added to
    • 9
      x
    • ?
  • (i)
    9
    v
    x
  • (ii)
    (
    9
    x
    )
  • (iii)
    5
    w
  • (iv)
    (
    7
    )
  • (v)
    v
    w
    x
Question 22
22.
    • The value of
    • (
      3
      d
      e
      )
    • +
    • 2
      d
      e
    • is
  • (i)
    0
  • (ii)
    (
    3
    d
    e
    )
  • (iii)
    (
    d
    e
    )
  • (iv)
    (
    2
    d
    e
    )
  • (v)
    2
    d
    e
Question 23
23.
    • The degree of polynomial
    • (
      6
      n
      3
       
      o
      2
       
      p
      2
       
      +
      6
      n
      3
       
      o
      2
       
      p
      +
      2
      n
      3
       
      o
      p
      7
      n
      3
       
      p
      n
      2
       
      o
      p
      +
      9
      o
      5
      p
      3
       
      )
    • is
  • (i)
    8
  • (ii)
    10
  • (iii)
    7
  • (iv)
    5
  • (v)
    6
Question 24
24.
    • Which of the following terms can be subtracted from
    • k
      l
    • ?
  • (i)
    (
    8
    k
    m
    )
  • (ii)
    (
    l
    m
    )
  • (iii)
    (
    3
    k
    l
    )
  • (iv)
    (
    3
    m
    )
  • (v)
    8
Question 25
25.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    2
    h
    i
    3
     
    j
    2
     
    +
    7
    i
    3
     
    +
    4
    i
    j
    3
     
    )
  • (ii)
    (
    3
    h
    2
     
    j
    3
     
    +
    7
    i
    3
     
    j
    2
     
    )
  • (iii)
    (
    8
    h
    3
     
    i
    2
     
    j
    2
     
    +
    3
    h
    2
     
    i
    2
     
    j
    3
     
    6
    i
    2
     
    j
    3
     
    2
    i
    j
    2
     
    )
  • (iv)
    (
    4
    h
    3
     
    i
    3
     
    j
    3
     
    8
    h
    3
     
    +
    3
    i
    3
     
    j
    3
     
    i
    3
     
    )
  • (v)
    7
    h
    3
     
    i
    j
    2
     
    Assignment Key

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