EduSahara™ Assignment
Name : Algebraic Expression Concepts
Chapter : Algebraic Expressions
Grade : ICSE Grade VII
License : Non Commercial Use
Question 1
1.
    • The degree of polynomial
    • (
      4
      m
      n
      +
      7
      m
      9
      n
      +
      8
      )
    • is
  • (i)
    3
  • (ii)
    1
  • (iii)
    (-1)
  • (iv)
    4
  • (v)
    2
Question 2
2.
    • The degree of polynomial
    • (
      6
      s
      2
       
      7
      s
      t
      2
       
      +
      5
      s
      t
      6
      t
      2
       
      )
    • is
  • (i)
    0
  • (ii)
    3
  • (iii)
    2
  • (iv)
    5
  • (v)
    4
Question 3
3.
    • The degree of polynomial
    • (
      u
      2
       
      w
      u
      v
      w
      2
      u
      2
      v
      w
      +
      5
      v
      )
    • is
  • (i)
    0
  • (ii)
    2
  • (iii)
    3
  • (iv)
    4
  • (v)
    6
Question 4
4.
    • The degree of polynomial
    • (
      4
      t
      3
       
      u
      3
       
      5
      t
      3
       
      u
      2
       
      v
      3
       
      +
      7
      t
      3
       
      v
      3
       
      +
      7
      t
      2
       
      u
      2
       
      v
      2
       
      +
      3
      t
      u
      v
      3
       
      2
      u
      2
       
      +
      9
      u
      )
    • is
  • (i)
    9
  • (ii)
    7
  • (iii)
    10
  • (iv)
    5
  • (v)
    8
Question 5
5.
    • The coefficient of term
    • e
    • in polynomial
    • (
      7
      d
      e
      +
      6
      d
      e
      3
      )
    • is
  • (i)
    0
  • (ii)
    -3
  • (iii)
    1
  • (iv)
    -1
  • (v)
    -2
Question 6
6.
    • The coefficient of term
    • w
      2
       
      x
    • in polynomial
    • (
      4
      w
      2
       
      x
      7
      w
      x
      2
      w
      2
      )
    • is
  • (i)
    2
  • (ii)
    5
  • (iii)
    6
  • (iv)
    3
  • (v)
    4
Question 7
7.
    • The constant term in polynomial
    • (
      8
      i
      2
       
      j
      2
       
      k
      2
       
      8
      i
      j
      2
       
      k
      2
       
      7
      i
      +
      7
      j
      2
       
      k
      +
      6
      )
    • is
  • (i)
    6
  • (ii)
    3
  • (iii)
    9
  • (iv)
    7
  • (v)
    5
Question 8
8.
    • The coefficient of term
    • v
      2
       
      x
      3
       
    • in polynomial
    • (
      v
      2
       
      w
      x
      3
       
      +
      2
      v
      2
       
      x
      3
       
      +
      7
      v
      w
      3
       
      8
      v
      w
      x
      5
      v
      x
      2
       
      6
      v
      7
      w
      x
      2
       
      )
    • is
  • (i)
    5
  • (ii)
    -1
  • (iii)
    3
  • (iv)
    2
  • (v)
    1
Question 9
9.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    9
    a
    3
     
    b
    5
    a
    2
     
    b
    3
     
    c
    3
     
    )
  • (ii)
    (
    a
    3
     
    b
    2
     
    c
    3
     
    6
    a
    3
     
    b
    c
    a
    2
     
    c
    3
     
    )
  • (iii)
    (
    9
    a
    3
     
    b
    3
     
    c
    3
     
    )
  • (iv)
    (
    2
    a
    2
     
    b
    3
     
    c
    2
     
    +
    2
    a
    b
    2
     
    +
    7
    b
    3
     
    c
    3
     
    +
    b
    )
  • (v)
    (
    6
    a
    b
    2
     
    +
    b
    3
     
    c
    7
    b
    2
     
    c
    5
    b
    c
    3
     
    )
Question 10
10.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    4
    b
    3
     
    c
    2
     
    7
    b
    c
    2
     
    d
    4
    c
    3
     
    d
    2
     
    )
  • (ii)
    (
    4
    b
    3
     
    c
    d
    +
    5
    b
    2
     
    c
    d
    3
     
    8
    b
    d
    2
     
    2
    c
    2
     
    )
  • (iii)
    (
    8
    b
    3
     
    c
    3
     
    4
    b
    3
     
    c
    )
  • (iv)
    (
    2
    b
    c
    3
     
    d
    )
  • (v)
    (
    3
    b
    3
     
    d
    3
     
    +
    7
    b
    2
     
    c
    3
     
    d
    +
    4
    b
    2
     
    c
    2
     
    d
    2
     
    +
    4
    b
    c
    2
     
    d
    3
     
    )
Question 11
11.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    2
    u
    3
     
    v
    2
     
    +
    6
    u
    2
     
    v
    3
     
    w
    2
     
    )
  • (ii)
    (
    6
    u
    2
     
    v
    3
     
    +
    4
    u
    2
     
    v
    2
     
    w
    +
    7
    u
    v
    3
     
    w
    +
    3
    u
    )
  • (iii)
    (
    5
    u
    3
     
    v
    2
     
    w
    3
     
    9
    u
    3
     
    w
    3
     
    6
    u
    +
    7
    v
    2
     
    )
  • (iv)
    (
    8
    u
    2
     
    v
    2
     
    u
    v
    2
     
    w
    3
     
    8
    v
    2
     
    )
  • (v)
    2
    u
    3
     
    v
    2
     
    w
    2
     
Question 12
12.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    d
    3
     
    e
    +
    7
    d
    2
    e
    3
     
    f
    2
     
    6
    f
    2
     
    )
  • (ii)
    3
    d
    e
    2
     
    f
  • (iii)
    (
    8
    d
    3
     
    e
    3
     
    f
    3
     
    9
    d
    3
     
    e
    2
     
    f
    3
     
    )
  • (iv)
    (
    8
    )
  • (v)
    (
    7
    d
    3
     
    e
    f
    +
    9
    d
    e
    3
     
    f
    2
     
    2
    d
    e
    2
     
    f
    3
     
    )
Question 13
13.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    0
  • (ii)
    (
    2
    k
    3
     
    m
    +
    5
    k
    2
     
    l
    m
    +
    2
    k
    2
     
    m
    2
     
    7
    l
    3
     
    )
  • (iii)
    (
    7
    k
    3
     
    l
    m
    3
     
    )
  • (iv)
    (
    6
    k
    2
     
    l
    3
     
    m
    +
    3
    k
    l
    2
     
    m
    8
    l
    m
    2
     
    )
  • (v)
    (
    k
    2
     
    l
    3
     
    m
    3
    l
    2
     
    m
    3
     
    )
Question 14
14.
    • The degree of the polynomial
    • (
      5
      g
      +
      3
      )
    • is
  • (i)
    4
  • (ii)
    2
  • (iii)
    1
  • (iv)
    0
  • (v)
    (-2)
Question 15
15.
    • The degree of the polynomial
    • (
      7
      c
      2
       
      +
      3
      c
      6
      )
    • is
  • (i)
    2
  • (ii)
    3
  • (iii)
    0
  • (iv)
    4
  • (v)
    1
Question 16
16.
    • The degree of the polynomial
    • (
      2
      j
      4
       
      2
      j
      3
       
      2
      j
      2
       
      )
    • is
  • (i)
    4
  • (ii)
    1
  • (iii)
    3
  • (iv)
    5
  • (v)
    6
Question 17
17.
    • The degree of the polynomial
    • (
      6
      a
      5
       
      7
      a
      4
       
      3
      a
      3
       
      +
      6
      a
      +
      9
      )
    • is
  • (i)
    4
  • (ii)
    6
  • (iii)
    8
  • (iv)
    5
  • (v)
    3
Question 18
18.
    • The constant term in polynomial
    • (
      n
      3
      )
    • is
  • (i)
    -3
  • (ii)
    -2
  • (iii)
    -4
  • (iv)
    -5
  • (v)
    0
Question 19
19.
    • The coefficient of term
    • j
      2
       
    • in polynomial
    • (
      4
      j
      2
       
      6
      j
      2
      )
    • is
  • (i)
    2
  • (ii)
    3
  • (iii)
    5
  • (iv)
    4
  • (v)
    7
Question 20
20.
    • The constant term in polynomial
    • (
      7
      d
      3
       
      +
      6
      d
      2
       
      6
      d
      1
      )
    • is
  • (i)
    -4
  • (ii)
    0
  • (iii)
    -2
  • (iv)
    -1
  • (v)
    2
Question 21
21.
    • The coefficient of term
    • j
      4
       
    • in polynomial
    • (
      2
      j
      4
       
      9
      j
      3
       
      2
      j
      2
       
      +
      7
      j
      +
      7
      )
    • is
  • (i)
    3
  • (ii)
    1
  • (iii)
    2
  • (iv)
    0
  • (v)
    5
Question 22
22.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    7
    k
    4
     
    )
  • (ii)
    (
    3
    k
    4
     
    +
    4
    k
    3
     
    +
    4
    k
    2
     
    3
    k
    4
    )
  • (iii)
    (
    7
    k
    4
     
    k
    3
     
    )
  • (iv)
    (
    6
    k
    4
     
    +
    6
    k
    3
     
    +
    8
    k
    2
     
    +
    3
    k
    +
    5
    )
  • (v)
    (
    9
    k
    3
     
    2
    k
    2
     
    +
    1
    )
Question 23
23.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    4
    n
    4
     
    9
    n
    3
     
    +
    6
    n
    2
     
    +
    3
    n
    +
    9
    )
  • (ii)
    (
    4
    n
    3
     
    +
    3
    n
    2
     
    )
  • (iii)
    (
    3
    n
    )
  • (iv)
    (
    9
    n
    4
     
    +
    n
    3
     
    8
    n
    2
     
    +
    4
    n
    +
    2
    )
  • (v)
    (
    8
    n
    3
     
    +
    8
    n
    2
    )
Question 24
24.
Which of the following algebraic expressions is a trinomial?
  • (i)
    8
    s
    2
     
  • (ii)
    (
    s
    4
     
    4
    s
    3
     
    s
    2
     
    +
    8
    s
    +
    5
    )
  • (iii)
    (
    5
    s
    2
     
    9
    s
    )
  • (iv)
    (
    9
    s
    3
     
    6
    s
    3
    )
  • (v)
    (
    6
    s
    4
     
    s
    3
     
    +
    8
    s
    2
     
    3
    s
    1
    )
Question 25
25.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    3
    x
    2
     
    +
    3
    )
  • (ii)
    7
  • (iii)
    (
    3
    x
    4
     
    2
    x
    2
     
    +
    2
    x
    )
  • (iv)
    (
    3
    x
    4
     
    )
  • (v)
    (
    7
    x
    4
     
    x
    3
     
    +
    2
    x
    2
     
    +
    4
    x
    3
    )
Question 26
26.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    6
    b
    4
     
    )
  • (ii)
    (
    3
    b
    4
     
    5
    b
    3
     
    +
    8
    b
    2
     
    +
    4
    b
    7
    )
  • (iii)
    0
  • (iv)
    (
    4
    b
    3
     
    2
    b
    +
    8
    )
  • (v)
    (
    5
    b
    4
     
    6
    b
    2
     
    )
Question 27
27.
Which of the following are polynomials?
a)
    • x
      2
       
      +
      1

      x
      2
       
b)
    • x
      +
      1

      x
c)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
d)
    • x
      2
       
e)
    • (
      x
      +
      y
      )
  • (i)
    {b,e,d}
  • (ii)
    {b,e}
  • (iii)
    {d,e}
  • (iv)
    {a,d}
  • (v)
    {c,a,d}
Question 28
28.
Which of the following are not polynomials?
a)
    • x
      +
      1

      x
b)
    • (
      3
      x
      +
      2
      y
      )

      (
      7
      x
      6
      y
      )
c)
    • (
      21
      x
      2
       
      4
      x
      y
      12
      y
      2
       
      )
d)
    • 49
      x
      2
       
e)
    • (
      3
      x
      +
      2
      y
      )
  • (i)
    {a,b}
  • (ii)
    {c,a}
  • (iii)
    {e,c,a}
  • (iv)
    {d,b}
  • (v)
    {d,b,a}
Question 29
29.
Which of the following are not polynomials?
a)
    • √x
b)
    • 16
      x
      2
       
      +
      1

      16
      x
      2
       
c)
    • (
      5
      x
      +
      9
      y
      )
d)
    • 16
      x
      2
       
e)
    • (
      2
      x
      6
      y
      )
  • (i)
    {c,a}
  • (ii)
    {d,b}
  • (iii)
    {e,c,a}
  • (iv)
    {a,b}
  • (v)
    {d,b,a}
Question 30
30.
Which of the following are not polynomials?
a)
    • (
      8
      x
      +
      6
      y
      )

      (
      4
      x
      2
      y
      )
b)
    • (
      32
      x
      2
       
      +
      8
      x
      y
      12
      y
      2
       
      )
c)
    • 81
      x
      2
       
d)
    • √x
e)
    • (
      4
      x
      2
      y
      )
  • (i)
    {c,d}
  • (ii)
    {a,d}
  • (iii)
    {b,a}
  • (iv)
    {e,b,a}
  • (v)
    {c,d,a}
Question 31
31.
    • Which of the following is a factor of
    • 42
      x
      3
       
      y
      4
       
      z
      2
       
    • ?
  • (i)
    6
    y
    3
     
    z
    3
     
  • (ii)
    6
    y
    3
     
    z
  • (iii)
    6
    x
    3
     
    y
    3
     
    z
    3
     
  • (iv)
    6
    y
    5
     
    z
  • (v)
    x
    4
     
    y
    3
     
    z
Question 32
32.
    • Which of the following is not a factor of
    • 28
      x
      4
       
      y
      3
       
      z
      3
       
    • ?
  • (i)
    2
    x
    4
     
    y
    2
     
    z
    3
     
  • (ii)
    2
    x
    4
     
    y
    3
     
    z
    2
     
  • (iii)
    2
    x
    y
    2
     
  • (iv)
    2
    x
    5
     
    y
    4
     
    z
    4
     
  • (v)
    2
    x
    3
     
    y
    3
     
    z
    3
     
Question 33
33.
    • Which of the following is a factor of
    • (
      2
      x
      +
      y
      2
       
      z
      )
    • ?
  • (i)
    y
    2
     
    z
  • (ii)
    x
    z
  • (iii)
    no factors
  • (iv)
    y
  • (v)
    2
    x
Question 34
34.
    • Which of the following is an irreducible factor of
    • 47
      x
      2
       
      y
      2
       
      z
      4
       
    • ?
  • (i)
    x
    z
    4
     
  • (ii)
    x
    2
     
    y
    2
     
    z
    4
     
  • (iii)
    x
  • (iv)
    x
    2
     
    y
  • (v)
    y
    2
     
    z
    Assignment Key

  •  1) (v)
  •  2) (ii)
  •  3) (iii)
  •  4) (v)
  •  5) (iv)
  •  6) (v)
  •  7) (i)
  •  8) (iv)
  •  9) (iii)
  •  10) (iii)
  •  11) (iv)
  •  12) (iv)
  •  13) (i)
  •  14) (iii)
  •  15) (i)
  •  16) (i)
  •  17) (iv)
  •  18) (i)
  •  19) (iv)
  •  20) (iv)
  •  21) (iii)
  •  22) (i)
  •  23) (ii)
  •  24) (iv)
  •  25) (ii)
  •  26) (iii)
  •  27) (iii)
  •  28) (i)
  •  29) (iv)
  •  30) (ii)
  •  31) (ii)
  •  32) (iv)
  •  33) (iii)
  •  34) (iii)