EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : SSC Grade VII
License : Non Commercial Use
Question 1
1.
    • The value of
    • 1

      2
      l
      2
       
      m
      2
       
      n
      2
       
    • 1

      2
      l
      2
       
      m
      2
       
      n
      2
       
    • 1

      2
      l
      2
       
      m
      2
       
      n
      2
       
    • 1

      4
      l
      2
       
      m
      2
       
      n
      2
       
    • is
  • (i)
    (
    1

    4
    l
    2
     
    m
    2
     
    n
    2
     
    )
  • (ii)
    (
    1

    2
    l
    2
     
    m
    2
     
    n
    2
     
    )
  • (iii)
    (
    5

    4
    l
    2
     
    m
    2
     
    n
    2
     
    )
  • (iv)
    (
    3

    2
    l
    2
     
    m
    2
     
    n
    2
     
    )
  • (v)
    (
    3

    4
    l
    2
     
    m
    2
     
    n
    2
     
    )
Question 2
2.
    • Which of the following terms can be added to
    • 9
      y
      x
      2
       
      z
      2
       
    • ?
  • (i)
    (
    x
    y
    2
     
    z
    2
     
    )
  • (ii)
    (
    9
    x
    2
     
    y
    z
    )
  • (iii)
    4
    x
    y
    z
    2
     
  • (iv)
    (
    2
    x
    y
    2
     
    z
    )
  • (v)
    (
    4
    x
    2
     
    y
    z
    2
     
    )
Question 3
3.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    5
    r
    s
    3
     
    t
    3
     
    3
    t
    3
     
    )
  • (ii)
    (
    6
    r
    3
     
    s
    2
     
    t
    2
     
    8
    s
    2
     
    t
    3
     
    3
    s
    t
    3
     
    t
    )
  • (iii)
    (
    4
    r
    3
     
    s
    2
     
    t
    2
     
    +
    7
    r
    3
     
    s
    t
    2
     
    r
    s
    2
     
    t
    7
    r
    )
  • (iv)
    2
    r
    3
     
    s
    3
     
    t
  • (v)
    (
    9
    r
    2
     
    s
    3
     
    t
    +
    8
    r
    2
     
    s
    t
    2
     
    6
    r
    t
    3
     
    )
Question 4
4.
    • The value of
    • (
      3
      b
      2
       
      c
      2
       
      +
      14
      b
      +
      3
      c
      3
      )
    • (
      4
      b
      2
       
      c
      2
       
      b
      2
       
      c
      +
      7
      b
      c
      +
      3
      c
      2
       
      )
    • is
  • (i)
    (
    7
    b
    2
     
    c
    2
     
    +
    b
    2
     
    c
    7
    b
    c
    +
    14
    b
    3
    c
    2
     
    +
    3
    c
    3
    )
  • (ii)
    (
    7
    b
    2
     
    c
    2
     
    b
    2
     
    c
    7
    b
    c
    +
    14
    b
    3
    c
    2
     
    +
    3
    c
    3
    )
  • (iii)
    (
    7
    b
    2
     
    c
    2
     
    +
    4
    b
    2
     
    c
    7
    b
    c
    +
    14
    b
    3
    c
    2
     
    +
    3
    c
    3
    )
  • (iv)
    (
    8
    b
    2
     
    c
    2
     
    +
    b
    2
     
    c
    7
    b
    c
    +
    14
    b
    3
    c
    2
     
    +
    3
    c
    3
    )
  • (v)
    (
    6
    b
    2
     
    c
    2
     
    +
    b
    2
     
    c
    7
    b
    c
    +
    14
    b
    3
    c
    2
     
    +
    3
    c
    3
    )
Question 5
5.
    • Which of the following terms is a like term of
    • (
      4
      )
    • ?
  • (i)
    2
    e
  • (ii)
    (
    5
    )
  • (iii)
    (
    4
    e
    4
     
    )
  • (iv)
    (
    9
    e
    2
     
    )
  • (v)
    9
    e
    3
     
Question 6
6.
    • The value of
    • 1

      2
      l
      m
      n
    • +
    • 1

      4
      l
      m
      n
    • is
  • (i)
    5

    4
    l
    m
    n
  • (ii)
    3

    4
    l
    m
    n
  • (iii)
    1

    2
    l
    m
    n
  • (iv)
    1

    4
    l
    m
    n
  • (v)
    3

    2
    l
    m
    n
Question 7
7.
    • Which of the following terms can be added to
    • b
      a
      2
       
      c
      2
       
    • ?
  • (i)
    (
    5
    a
    b
    2
     
    c
    )
  • (ii)
    (
    3
    a
    2
     
    b
    2
     
    c
    )
  • (iii)
    3
    a
    2
     
    b
    c
    2
     
  • (iv)
    (
    7
    a
    b
    c
    )
  • (v)
    6
    a
    2
     
    b
    c
Question 8
8.
    • Which of the following is a like term of
    • (
      w
      x
      2
       
      v
      2
       
      )
    • ?
  • (i)
    (
    9
    v
    2
     
    w
    2
     
    x
    )
  • (ii)
    (
    5
    v
    w
    2
     
    x
    2
     
    )
  • (iii)
    (
    9
    v
    2
     
    w
    x
    2
     
    )
  • (iv)
    (
    4
    v
    w
    2
     
    x
    )
  • (v)
    4
    v
    2
     
    w
    x
Question 9
9.
    • The value of
    • 1

      2
      k
      2
       
    • +
    • 2

      3
      k
      2
       
    • +
    • 1

      2
      k
      2
       
    • is
  • (i)
    k
    2
     
  • (ii)
    5

    3
    k
    2
     
  • (iii)
    3
    k
    2
     
  • (iv)
    7

    5
    k
    2
     
  • (v)
    7

    3
    k
    2
     
Question 10
10.
    • The value of
    • (
      4
      r
      4
       
      )
    • +
    • (
      6
      r
      4
       
      )
    • +
    • (
      7
      r
      4
       
      )
    • +
    • (
      3
      r
      4
       
      )
    • is
  • (i)
    (
    19
    r
    4
     
    )
  • (ii)
    (
    21
    r
    4
     
    )
  • (iii)
    (
    22
    r
    4
     
    )
  • (iv)
    (
    20
    r
    4
     
    )
  • (v)
    (
    17
    r
    4
     
    )
Question 11
11.
    • The value of
    • (
      3
      r
      s
      9
      r
      t
      2
      )
    • (
      9
      r
      s
      t
      3
      s
      t
      9
      t
      )
    • is
  • (i)
    (
    8
    r
    s
    t
    +
    3
    r
    s
    9
    r
    t
    +
    3
    s
    t
    +
    9
    t
    2
    )
  • (ii)
    (
    9
    r
    s
    t
    +
    r
    s
    9
    r
    t
    +
    3
    s
    t
    +
    9
    t
    2
    )
  • (iii)
    (
    9
    r
    s
    t
    +
    6
    r
    s
    9
    r
    t
    +
    3
    s
    t
    +
    9
    t
    2
    )
  • (iv)
    (
    10
    r
    s
    t
    +
    3
    r
    s
    9
    r
    t
    +
    3
    s
    t
    +
    9
    t
    2
    )
  • (v)
    (
    9
    r
    s
    t
    +
    3
    r
    s
    9
    r
    t
    +
    3
    s
    t
    +
    9
    t
    2
    )
Question 12
12.
    • The value of the polynomial
    • (
      3
      c
      d
      9
      c
      8
      )
    • at
    •  
    • c
    • =
    • (-5)
    • ,
    • d
    • =
    • (-3)
    • ,
    • e
    • =
    • (-3)
    •  
    • is
  • (i)
    -8
  • (ii)
    -10
  • (iii)
    -7
  • (iv)
    -9
  • (v)
    -5
Question 13
13.
    • The value of
    • 1

      3
      h
      4
       
    • +
    • 2

      5
      h
      4
       
    • +
    • 2

      3
      h
      4
       
    • +
    • 1

      2
      h
      4
       
    • is
  • (i)
    17

    10
    h
    4
     
  • (ii)
    19

    10
    h
    4
     
  • (iii)
    17

    8
    h
    4
     
  • (iv)
    21

    10
    h
    4
     
  • (v)
    7

    4
    h
    4
     
Question 14
14.
    • The value of
    • 1

      5
      m
    • +
    • 1

      4
      m
    • is
  • (i)
    9

    20
    m
  • (ii)
    9

    22
    m
  • (iii)
    11

    20
    m
  • (iv)
    1

    2
    m
  • (v)
    7

    20
    m
Question 15
15.
    • The value of
    • 1

      5
      g
      2
       
      h
      2
       
    • +
    • 1

      2
      g
      2
       
      h
      2
       
    • +
    • 4

      5
      g
      2
       
      h
      2
       
    • +
    • 1

      4
      g
      2
       
      h
      2
       
    • is
  • (i)
    5

    2
    g
    2
     
    h
    2
     
  • (ii)
    5

    4
    g
    2
     
    h
    2
     
  • (iii)
    7

    4
    g
    2
     
    h
    2
     
  • (iv)
    9

    4
    g
    2
     
    h
    2
     
  • (v)
    3

    2
    g
    2
     
    h
    2
     
Question 16
16.
    • The value of
    • (
      q
      r
      )
    • +
    • 2
      q
      r
    • is
  • (i)
    0
  • (ii)
    4
    q
    r
  • (iii)
    q
    r
  • (iv)
    2
    q
    r
  • (v)
    (
    2
    q
    r
    )
Question 17
17.
    • Which of the following terms can be subtracted from
    • (
      6
      i
      )
    • ?
  • (i)
    (
    6
    i
    )
  • (ii)
    2
    i
    3
     
  • (iii)
    7
  • (iv)
    6
    i
    4
     
  • (v)
    (
    i
    2
     
    )
Question 18
18.
    • The value of
    • (
      5
      l
      m
      )
    • 9
      l
      m
    • 6
      l
      m
    • 6
      l
      m
    • is
  • (i)
    (
    27
    l
    m
    )
  • (ii)
    (
    28
    l
    m
    )
  • (iii)
    (
    25
    l
    m
    )
  • (iv)
    (
    24
    l
    m
    )
  • (v)
    (
    26
    l
    m
    )
Question 19
19.
    • The value of
    • 6
      b
      2
       
      c
      2
       
      d
      2
       
    • (
      7
      b
      2
       
      c
      2
       
      d
      2
       
      )
    • is
  • (i)
    14
    b
    2
     
    c
    2
     
    d
    2
     
  • (ii)
    11
    b
    2
     
    c
    2
     
    d
    2
     
  • (iii)
    12
    b
    2
     
    c
    2
     
    d
    2
     
  • (iv)
    16
    b
    2
     
    c
    2
     
    d
    2
     
  • (v)
    13
    b
    2
     
    c
    2
     
    d
    2
     
Question 20
20.
    • The degree of the polynomial
    • (
      6
      j
      4
       
      3
      j
      2
       
      4
      )
    • is
  • (i)
    3
  • (ii)
    2
  • (iii)
    4
  • (iv)
    7
  • (v)
    5
Question 21
21.
    • The degree of the polynomial
    • (
      u
      4
       
      u
      3
       
      2
      u
      2
       
      6
      u
      +
      8
      )
    • is
  • (i)
    6
  • (ii)
    4
  • (iii)
    1
  • (iv)
    3
  • (v)
    5
Question 22
22.
    • Which of the following terms can be added to
    • 8
      m
      2
       
      o
      2
       
    • ?
  • (i)
    (
    6
    m
    n
    2
     
    o
    2
     
    )
  • (ii)
    (
    9
    m
    2
     
    n
    2
     
    o
    )
  • (iii)
    6
    m
    2
     
    n
    2
     
    o
    2
     
  • (iv)
    8
    m
    2
     
    o
    2
     
  • (v)
    9
    o
Question 23
23.
    • Which of the following is a like term of
    • 3
      u
      v
      2
       
      t
      2
       
    • ?
  • (i)
    3
    t
    u
    v
    2
     
  • (ii)
    t
    2
     
    u
    2
     
    v
    2
     
  • (iii)
    (
    2
    t
    2
     
    u
    v
    2
     
    )
  • (iv)
    2
    t
    2
     
    u
    2
     
    v
  • (v)
    4
    t
    2
     
    u
    v
Question 24
24.
    • The value of
    • (
      6
      k
      2
       
      )
    • +
    • 5
      k
      2
       
    • +
    • (
      5
      k
      2
       
      )
    • is
  • (i)
    (
    4
    k
    2
     
    )
  • (ii)
    (
    6
    k
    2
     
    )
  • (iii)
    (
    5
    k
    2
     
    )
  • (iv)
    (
    8
    k
    2
     
    )
  • (v)
    (
    7
    k
    2
     
    )
Question 25
25.
    • Which of the following terms can be added to
    • 5
      j
    • ?
  • (i)
    2
    j
    k
  • (ii)
    (
    8
    j
    )
  • (iii)
    (
    2
    i
    k
    )
  • (iv)
    9
    k
  • (v)
    2
    i
    j
    Assignment Key

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