EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : SSC Grade VII
License : Non Commercial Use
Question 1
1.
    • The value of the polynomial
    • (
      k
      l
      2
       
      +
      9
      k
      l
      6
      k
      )
    • at
    •  
    • k
    • =
    • 5
    • ,
    • l
    • =
    • (-4)
    • ,
    • m
    • =
    • (-3)
    •  
    • is
  • (i)
    -289
  • (ii)
    -291
  • (iii)
    -287
  • (iv)
    -290
  • (v)
    -293
Question 2
2.
    • Which of the following is a like term of
    • 6
      q
      r
      s
    • ?
  • (i)
    3
    r
    s
  • (ii)
    (
    4
    q
    s
    )
  • (iii)
    9
    q
    r
  • (iv)
    q
    r
    s
  • (v)
    (
    r
    )
Question 3
3.
    • Which of the following terms is a like term of
    • (
      2
      t
      3
       
      )
    • ?
  • (i)
    (
    3
    t
    4
     
    )
  • (ii)
    (
    t
    3
     
    )
  • (iii)
    (
    9
    t
    )
  • (iv)
    3
  • (v)
    (
    2
    t
    2
     
    )
Question 4
4.
    • The value of
    • 2

      5
      i
      2
       
    • 1

      3
      i
      2
       
    • 1

      2
      i
      2
       
    • is
  • (i)
    (
    13

    28
    i
    2
     
    )
  • (ii)
    (
    13

    32
    i
    2
     
    )
  • (iii)
    (
    11

    30
    i
    2
     
    )
  • (iv)
    (
    1

    2
    i
    2
     
    )
  • (v)
    (
    13

    30
    i
    2
     
    )
Question 5
5.
    • The value of the polynomial
    • (
      8
      c
      e
      +
      9
      d
      6
      e
      )
    • at
    •  
    • c
    • =
    • (-5)
    • ,
    • d
    • =
    • 4
    • ,
    • e
    • =
    • 4
    •  
    • is
  • (i)
    -151
  • (ii)
    -148
  • (iii)
    -145
  • (iv)
    -149
  • (v)
    -147
Question 6
6.
    • The sum of the terms
    • (
      9
      l
      )
    • ,
    • (
      6
      )
    • ,
    • 3
      m
    • ,
    • 5
      l
    • ,
    • 3
      m
    • is
  • (i)
    (
    4
    l
    +
    6
    m
    6
    )
  • (ii)
    (
    4
    l
    +
    4
    m
    6
    )
  • (iii)
    (
    5
    l
    +
    6
    m
    6
    )
  • (iv)
    (
    3
    l
    +
    6
    m
    6
    )
  • (v)
    (
    4
    l
    +
    9
    m
    6
    )
Question 7
7.
    • The coefficient of term
    • e
      2
       
    • in polynomial
    • (
      9
      e
      4
       
      +
      e
      3
       
      +
      e
      2
       
      8
      e
      1
      )
    • is
  • (i)
    2
  • (ii)
    0
  • (iii)
    3
  • (iv)
    -2
  • (v)
    1
Question 8
8.
    • The value of
    • (
      8
      r
      )
    • +
    • (
      5
      r
      )
    • is
  • (i)
    (
    13
    r
    )
  • (ii)
    (
    12
    r
    )
  • (iii)
    (
    14
    r
    )
  • (iv)
    (
    11
    r
    )
  • (v)
    (
    15
    r
    )
Question 9
9.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    3
    b
    c
    3
     
    d
    3
     
    c
    3
     
    d
    3
     
    )
  • (ii)
    (
    7
    b
    3
     
    c
    2
     
    d
    2
     
    +
    2
    b
    2
     
    c
    d
    2
     
    +
    5
    b
    c
    d
    3
     
    +
    2
    b
    )
  • (iii)
    0
  • (iv)
    (
    8
    b
    3
     
    d
    3
     
    +
    6
    b
    2
     
    c
    d
    +
    3
    b
    c
    )
  • (v)
    (
    8
    b
    3
     
    c
    d
    3
     
    )
Question 10
10.
    • The sum of the terms
    • 9
      j
      l
    • ,
    • 3
      k
    • ,
    • 6
      k
    • ,
    • 4
      k
      l
    • ,
    • 4
      k
    • is
  • (i)
    (
    9
    j
    l
    +
    k
    l
    +
    13
    k
    )
  • (ii)
    (
    10
    j
    l
    +
    4
    k
    l
    +
    13
    k
    )
  • (iii)
    (
    9
    j
    l
    +
    4
    k
    l
    +
    13
    k
    )
  • (iv)
    (
    9
    j
    l
    +
    6
    k
    l
    +
    13
    k
    )
  • (v)
    (
    8
    j
    l
    +
    4
    k
    l
    +
    13
    k
    )
Question 11
11.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    8
    k
    3
     
    3
    k
    2
     
    )
  • (ii)
    (
    4
    k
    3
     
    +
    k
    +
    8
    )
  • (iii)
    (
    4
    k
    4
     
    9
    k
    3
     
    +
    6
    k
    2
     
    8
    k
    8
    )
  • (iv)
    (
    6
    k
    4
     
    9
    k
    3
     
    8
    k
    2
     
    9
    k
    +
    1
    )
  • (v)
    (
    2
    k
    4
     
    )
Question 12
12.
    • Which of the following terms can be added to
    • 8
      v
      x
    • ?
  • (i)
    (
    8
    v
    x
    )
  • (ii)
    (
    x
    2
     
    )
  • (iii)
    4
    x
  • (iv)
    (
    8
    w
    x
    2
     
    )
  • (v)
    4
    v
    2
     
    w
Question 13
13.
    • The value of
    • 1

      2
      z
      4
       
    • +
    • 2

      3
      z
      4
       
    • +
    • 1

      4
      z
      4
       
    • +
    • 1

      4
      z
      4
       
    • is
  • (i)
    z
    4
     
  • (ii)
    3
    z
    4
     
  • (iii)
    5

    3
    z
    4
     
  • (iv)
    7

    3
    z
    4
     
  • (v)
    7

    5
    z
    4
     
Question 14
14.
    • The value of
    • 1

      2
      t
      u
    • 3

      4
      t
      u
    • is
  • (i)
    (
    1

    6
    t
    u
    )
  • (ii)
    1

    4
    t
    u
  • (iii)
    (
    3

    4
    t
    u
    )
  • (iv)
    (
    1

    4
    t
    u
    )
  • (v)
    (
    1

    2
    t
    u
    )
Question 15
15.
    • The value of
    • d
      e
    • 8
      d
      e
    • is
  • (i)
    (
    10
    d
    e
    )
  • (ii)
    (
    7
    d
    e
    )
  • (iii)
    (
    8
    d
    e
    )
  • (iv)
    (
    6
    d
    e
    )
  • (v)
    (
    4
    d
    e
    )
Question 16
16.
    • The degree of the polynomial
    • (
      9
      x
      2
       
      +
      2
      x
      4
      )
    • is
  • (i)
    2
  • (ii)
    1
  • (iii)
    (-1)
  • (iv)
    4
  • (v)
    3
Question 17
17.
    • The value of
    • 2

      5
      i
      5
       
    • 1

      2
      i
      5
       
    • 1

      2
      i
      5
       
    • is
  • (i)
    (
    3

    5
    i
    5
     
    )
  • (ii)
    (
    i
    5
     
    )
  • (iii)
    (
    3

    7
    i
    5
     
    )
  • (iv)
    (
    1

    5
    i
    5
     
    )
Question 18
18.
    • The value of the polynomial
    • (
      4
      d
      2
       
      e
      2
       
      f
      6
      d
      2
       
      e
      f
      )
    • at
    •  
    • d
    • =
    • (-1)
    • ,
    • e
    • =
    • (-4)
    • ,
    • f
    • =
    • (-4)
    •  
    • is
  • (i)
    160
  • (ii)
    158
  • (iii)
    159
  • (iv)
    161
  • (v)
    163
Question 19
19.
    • Which of the following terms can be subtracted from
    • 5
      d
    • ?
  • (i)
    9
    d
  • (ii)
    7
    d
    2
     
  • (iii)
    (
    3
    )
  • (iv)
    (
    d
    4
     
    )
  • (v)
    9
    d
    3
     
Question 20
20.
    • The value of
    • (
      6
      a
      2
       
      )
    • +
    • (
      3
      a
      2
       
      )
    • +
    • (
      4
      a
      2
       
      )
    • is
  • (i)
    (
    11
    a
    2
     
    )
  • (ii)
    (
    15
    a
    2
     
    )
  • (iii)
    (
    12
    a
    2
     
    )
  • (iv)
    (
    14
    a
    2
     
    )
  • (v)
    (
    13
    a
    2
     
    )
Question 21
21.
    • The value of the polynomial
    • (
      8
      g
      4
       
      9
      g
      3
       
      +
      7
      g
      2
       
      +
      7
      g
      4
      )
    • at
    •  
    • g
    • =
    • (-2)
    • is
  • (i)
    209
  • (ii)
    212
  • (iii)
    207
  • (iv)
    211
  • (v)
    210
Question 22
22.
    • The value of the polynomial
    • 0
    • at
    •  
    • b
    • =
    • (-3)
    • ,
    • c
    • =
    • (-2)
    • ,
    • d
    • =
    • 1
    •  
    • is
  • (i)
    -1
  • (ii)
    -2
  • (iii)
    0
  • (iv)
    2
  • (v)
    1
Question 23
23.
    • Which of the following terms can be subtracted from
    • (
      9
      p
      q
      2
       
      o
      2
       
      )
    • ?
  • (i)
    5
    o
    2
     
    p
    q
    2
     
  • (ii)
    3
    o
    2
     
    p
    q
  • (iii)
    2
    o
    2
     
    p
    2
     
    q
    2
     
  • (iv)
    5
    o
    p
    q
  • (v)
    o
    p
    q
    2
     
Question 24
24.
    • If
    • A
    • =
    • (
      3
      f
      g
      h
      5
      g
      h
      )
    • ,
    • B
    • =
    • (
      4
      g
      h
      +
      4
      h
      )
    • and
    • C
    • =
    • (
      f
      h
      +
      3
      h
      )
    • then
    • (
      A
      +
      B
      C
      )
    • =
  • (i)
    (
    3
    f
    g
    h
    3
    f
    h
    9
    g
    h
    +
    h
    )
  • (ii)
    (
    3
    f
    g
    h
    f
    h
    9
    g
    h
    +
    h
    )
  • (iii)
    (
    3
    f
    g
    h
    +
    f
    h
    9
    g
    h
    +
    h
    )
  • (iv)
    (
    2
    f
    g
    h
    f
    h
    9
    g
    h
    +
    h
    )
  • (v)
    (
    4
    f
    g
    h
    f
    h
    9
    g
    h
    +
    h
    )
Question 25
25.
    • The sum of the expressions
    • (
      4
      x
      21
      y
      )
    • ,
    • (
      5
      x
      y
      +
      9
      x
      )
    • ,
    • (
      8
      x
      y
      +
      3
      )
    • ,
    • (
      5
      x
      +
      8
      y
      )
    • ,
    • (
      7
      x
      y
      9
      y
      )
    • is
  • (i)
    (
    5
    x
    y
    +
    8
    x
    22
    y
    +
    3
    )
  • (ii)
    (
    6
    x
    y
    +
    10
    x
    22
    y
    +
    3
    )
  • (iii)
    (
    7
    x
    y
    +
    8
    x
    22
    y
    +
    3
    )
  • (iv)
    (
    6
    x
    y
    +
    8
    x
    22
    y
    +
    3
    )
  • (v)
    (
    6
    x
    y
    +
    5
    x
    22
    y
    +
    3
    )
    Assignment Key

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