EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Algebraic Expressions
Grade : SSC Grade VII
License : Non Commercial Use
Question 1
1.
    • The sum of the expressions
    • (
      6
      w
      x
      3
      x
      +
      4
      )
    • ,
    • (
      5
      w
      x
      +
      8
      w
      +
      3
      )
    • ,
    • (
      6
      w
      x
      w
      +
      7
      x
      )
    • ,
    • (
      2
      w
      x
      5
      w
      +
      5
      )
    • ,
    • (
      2
      w
      x
      +
      w
      4
      )
    • is
  • (i)
    (
    6
    w
    x
    +
    3
    w
    +
    4
    x
    +
    8
    )
  • (ii)
    (
    7
    w
    x
    +
    3
    w
    +
    4
    x
    +
    8
    )
  • (iii)
    (
    8
    w
    x
    +
    3
    w
    +
    4
    x
    +
    8
    )
  • (iv)
    (
    7
    w
    x
    +
    5
    w
    +
    4
    x
    +
    8
    )
  • (v)
    (
    7
    w
    x
    +
    4
    x
    +
    8
    )
Question 2
2.
    • The value of
    • 7
      g
      4
       
    • +
    • (
      8
      g
      4
       
      )
    • +
    • (
      5
      g
      4
       
      )
    • +
    • (
      8
      g
      4
       
      )
    • is
  • (i)
    (
    16
    g
    4
     
    )
  • (ii)
    (
    13
    g
    4
     
    )
  • (iii)
    (
    11
    g
    4
     
    )
  • (iv)
    (
    15
    g
    4
     
    )
  • (v)
    (
    14
    g
    4
     
    )
Question 3
3.
    • The coefficient of term
    • n
      2
       
      o
    • in polynomial
    • (
      5
      n
      2
       
      o
      +
      5
      n
      2
       
      7
      n
      o
      2
       
      +
      5
      o
      )
    • is
  • (i)
    -5
  • (ii)
    -3
  • (iii)
    -7
  • (iv)
    -6
  • (v)
    -4
Question 4
4.
    • Which of the following terms can be subtracted from
    • (
      8
      p
      r
      2
       
      )
    • ?
  • (i)
    (
    4
    q
    2
     
    )
  • (ii)
    (
    3
    r
    )
  • (iii)
    (
    4
    q
    2
     
    r
    )
  • (iv)
    (
    5
    p
    2
     
    r
    2
     
    )
  • (v)
    4
    p
    r
    2
     
Question 5
5.
    • The value of the polynomial
    • (
      3
      d
      f
      2
       
      +
      e
      f
      2
       
      +
      f
      )
    • at
    •  
    • d
    • =
    • 3
    • ,
    • e
    • =
    • 4
    • ,
    • f
    • =
    • 5
    •  
    • is
  • (i)
    -120
  • (ii)
    -119
  • (iii)
    -121
  • (iv)
    -117
  • (v)
    -123
Question 6
6.
    • Which of the following terms is a like term of
    • (
      2
      )
    • ?
  • (i)
    (
    7
    b
    3
     
    )
  • (ii)
    2
    b
    2
     
  • (iii)
    (
    5
    b
    4
     
    )
  • (iv)
    9
  • (v)
    8
    b
Question 7
7.
    • The value of
    • (
      4
      s
      t
      +
      3
      s
      3
      )
    • (
      2
      r
      s
      t
      +
      9
      r
      s
      +
      7
      r
      )
    • is
  • (i)
    (
    2
    r
    s
    t
    7
    r
    s
    7
    r
    +
    4
    s
    t
    +
    3
    s
    3
    )
  • (ii)
    (
    2
    r
    s
    t
    9
    r
    s
    7
    r
    +
    4
    s
    t
    +
    3
    s
    3
    )
  • (iii)
    (
    r
    s
    t
    9
    r
    s
    7
    r
    +
    4
    s
    t
    +
    3
    s
    3
    )
  • (iv)
    (
    3
    r
    s
    t
    9
    r
    s
    7
    r
    +
    4
    s
    t
    +
    3
    s
    3
    )
  • (v)
    (
    2
    r
    s
    t
    11
    r
    s
    7
    r
    +
    4
    s
    t
    +
    3
    s
    3
    )
Question 8
8.
    • The constant term in polynomial
    • (
      2
      x
      y
      +
      11
      x
      3
      y
      +
      16
      )
    • is
  • (i)
    19
  • (ii)
    15
  • (iii)
    17
  • (iv)
    13
  • (v)
    16
Question 9
9.
    • The degree of polynomial
    • (
      5
      q
      3
       
      r
      3
       
      s
      3
       
      +
      3
      q
      3
       
      r
      2
       
      s
      3
       
      +
      q
      2
       
      r
      3
       
      s
      3
       
      +
      4
      q
      2
       
      r
      s
      3
       
      2
      q
      2
       
      5
      q
      +
      7
      r
      2
       
      s
      )
    • is
  • (i)
    10
  • (ii)
    9
  • (iii)
    6
  • (iv)
    8
  • (v)
    11
Question 10
10.
    • The value of
    • (
      4
      a
      2
       
      b
      2
       
      c
      2
       
      )
    • 4
      a
      2
       
      b
      2
       
      c
      2
       
    • (
      9
      a
      2
       
      b
      2
       
      c
      2
       
      )
    • (
      8
      a
      2
       
      b
      2
       
      c
      2
       
      )
    • is
  • (i)
    11
    a
    2
     
    b
    2
     
    c
    2
     
  • (ii)
    7
    a
    2
     
    b
    2
     
    c
    2
     
  • (iii)
    8
    a
    2
     
    b
    2
     
    c
    2
     
  • (iv)
    10
    a
    2
     
    b
    2
     
    c
    2
     
  • (v)
    9
    a
    2
     
    b
    2
     
    c
    2
     
Question 11
11.
    • The value of the polynomial
    • (
      6
      o
      )
    • at
    •  
    • m
    • =
    • (-3)
    • ,
    • n
    • =
    • (-4)
    • ,
    • o
    • =
    • 2
    •  
    • is
  • (i)
    -12
  • (ii)
    -10
  • (iii)
    -14
  • (iv)
    -13
  • (v)
    -11
Question 12
12.
    • The value of
    • 3

      4
      f
      2
       
      g
      2
       
      h
      2
       
    • 4

      5
      f
      2
       
      g
      2
       
      h
      2
       
    • is
  • (i)
    (
    3

    20
    f
    2
     
    g
    2
     
    h
    2
     
    )
  • (ii)
    (
    1

    22
    f
    2
     
    g
    2
     
    h
    2
     
    )
  • (iii)
    (
    1

    20
    f
    2
     
    g
    2
     
    h
    2
     
    )
  • (iv)
    (
    1

    18
    f
    2
     
    g
    2
     
    h
    2
     
    )
  • (v)
    1

    20
    f
    2
     
    g
    2
     
    h
    2
     
Question 13
13.
    • Which of the following terms can be added to
    • (
      3
      y
      x
      2
       
      z
      )
    • ?
  • (i)
    9
    x
    y
    z
    2
     
  • (ii)
    (
    x
    2
     
    y
    2
     
    z
    )
  • (iii)
    3
    x
    2
     
    y
    z
  • (iv)
    x
    2
     
    y
    z
    2
     
  • (v)
    8
    x
    y
    z
Question 14
14.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    3
    c
    4
     
    8
    c
    3
     
    +
    c
    2
     
    3
    c
    +
    1
    )
  • (ii)
    5
    c
    3
     
  • (iii)
    (
    9
    c
    8
    )
  • (iv)
    (
    7
    c
    4
     
    7
    c
    3
     
    +
    5
    )
  • (v)
    (
    c
    4
     
    3
    c
    3
     
    +
    2
    c
    2
     
    3
    c
    7
    )
Question 15
15.
    • The degree of the polynomial
    • (
      6
      u
      1
      )
    • is
  • (i)
    1
  • (ii)
    (-1)
  • (iii)
    0
  • (iv)
    3
  • (v)
    2
Question 16
16.
    • Which of the following terms is a like term of
    • 5
      z
      2
       
    • ?
  • (i)
    5
    z
  • (ii)
    (
    4
    z
    2
     
    )
  • (iii)
    4
    z
    4
     
  • (iv)
    (
    9
    )
  • (v)
    5
    z
    3
     
Question 17
17.
    • Which of the following terms can be subtracted from
    • 4
      l
      m
      2
       
      k
    • ?
  • (i)
    (
    2
    k
    l
    m
    2
     
    )
  • (ii)
    2
    k
    2
     
    l
    m
    2
     
  • (iii)
    (
    7
    k
    2
     
    l
    m
    )
  • (iv)
    9
    k
    l
    m
  • (v)
    5
    k
    2
     
    l
    2
     
    m
Question 18
18.
    • The value of the polynomial
    • 0
    • at
    •  
    • k
    • =
    • (-4)
    • ,
    • l
    • =
    • (-5)
    • ,
    • m
    • =
    • 2
    •  
    • is
  • (i)
    1
  • (ii)
    -1
  • (iii)
    3
  • (iv)
    0
  • (v)
    -3
Question 19
19.
    • Which of the following terms can be added to
    • 4
      w
      2
       
    • ?
  • (i)
    4
    w
    2
     
  • (ii)
    (
    w
    4
     
    )
  • (iii)
    6
  • (iv)
    2
    w
    3
     
  • (v)
    5
    w
Question 20
20.
    • The value of
    • 1

      2
      k
    • +
    • 3

      4
      k
    • is
  • (i)
    7

    4
    k
  • (ii)
    5

    6
    k
  • (iii)
    5

    2
    k
  • (iv)
    5

    4
    k
  • (v)
    3

    4
    k
Question 21
21.
    • The value of the polynomial
    • (
      4
      s
      2
       
      u
      2
       
      s
      t
      u
      2
       
      )
    • at
    •  
    • s
    • =
    • 0
    • ,
    • t
    • =
    • (-4)
    • ,
    • u
    • =
    • (-5)
    •  
    • is
  • (i)
    -2
  • (ii)
    3
  • (iii)
    0
  • (iv)
    1
  • (v)
    -1
Question 22
22.
Which of the following algebraic expressions is a trinomial?
  • (i)
    u
    3
     
    v
    2
     
    w
  • (ii)
    (
    3
    u
    3
     
    v
    2
     
    9
    u
    3
     
    w
    5
    u
    2
     
    w
    3
     
    )
  • (iii)
    (
    3
    u
    3
     
    w
    2
     
    8
    u
    2
     
    v
    2
     
    +
    u
    2
     
    w
    +
    7
    v
    2
     
    w
    )
  • (iv)
    (
    3
    u
    3
     
    v
    3
     
    w
    3
     
    2
    u
    3
     
    2
    u
    2
     
    v
    2
     
    6
    u
    v
    2
     
    w
    3
     
    )
  • (v)
    (
    9
    u
    v
    3
     
    w
    +
    7
    v
    2
     
    w
    3
     
    )
Question 23
23.
    • The coefficient of term
    • h
      i
      2
       
    • in polynomial
    • (
      9
      h
      2
       
      j
      +
      9
      h
      i
      2
       
      +
      h
      i
      j
      4
      i
      j
      +
      3
      j
      )
    • is
  • (i)
    10
  • (ii)
    9
  • (iii)
    8
  • (iv)
    11
  • (v)
    6
Question 24
24.
    • If
    • A
    • =
    • (
      4
      d
      4
      e
      )
    • ,
    • B
    • =
    • (
      c
      +
      d
      )
    • and
    • C
    • =
    • (
      c
      e
      +
      5
      e
      )
    • then
    • (
      2
      A
      +
      2
      B
      +
      2
      C
      )
    • =
  • (i)
    (
    c
    e
    +
    2
    c
    6
    d
    +
    2
    e
    )
  • (ii)
    (
    3
    c
    e
    +
    2
    c
    6
    d
    +
    2
    e
    )
  • (iii)
    (
    2
    c
    e
    c
    6
    d
    +
    2
    e
    )
  • (iv)
    (
    2
    c
    e
    +
    2
    c
    6
    d
    +
    2
    e
    )
  • (v)
    (
    2
    c
    e
    +
    4
    c
    6
    d
    +
    2
    e
    )
Question 25
25.
    • The value of
    • 1

      2
      p
      3
       
      q
      3
       
      r
      3
       
    • +
    • 1

      5
      p
      3
       
      q
      3
       
      r
      3
       
    • +
    • 3

      5
      p
      3
       
      q
      3
       
      r
      3
       
    • +
    • 1

      2
      p
      3
       
      q
      3
       
      r
      3
       
    • is
  • (i)
    9

    5
    p
    3
     
    q
    3
     
    r
    3
     
  • (ii)
    11

    5
    p
    3
     
    q
    3
     
    r
    3
     
  • (iii)
    7

    3
    p
    3
     
    q
    3
     
    r
    3
     
  • (iv)
    7

    5
    p
    3
     
    q
    3
     
    r
    3
     
  • (v)
    11

    7
    p
    3
     
    q
    3
     
    r
    3
     
    Assignment Key

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