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

      (
      x
      −
      y
      )
c)
    • x
      2
       
      +
      1

      x
      2
       
d)
    • x
      +
      1

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

      x
b)
    • 9
      x
      2
       
c)
    • (
      10
      x
      +
      11
      y
      )
d)
    • (
      30
      x
      2
       
      −
      67
      x
      y
      −
      110
      y
      2
       
      )
e)
    • (
      10
      x
      +
      11
      y
      )

      (
      3
      x
      −
      10
      y
      )
  • (i)
    {b,a}
  • (ii)
    {a,e}
  • (iii)
    {d,b,a}
  • (iv)
    {c,e}
  • (v)
    {c,e,a}
Question 29
29.
Which of the following are not polynomials?
a)
    • (
      7
      x
      +
      4
      y
      )
b)
    • x
      2
       
      +
      1

      x
      2
       
c)
    • x
      2
       
d)
    • (
      x
      −
      7
      y
      )
e)
    • √x
  • (i)
    {c,e}
  • (ii)
    {d,a,b}
  • (iii)
    {a,b}
  • (iv)
    {c,e,b}
  • (v)
    {b,e}
Question 30
30.
Which of the following are not polynomials?
a)
    • 16
      x
      2
       
b)
    • (
      9
      x
      2
       
      +
      24
      x
      y
      −
      48
      y
      2
       
      )
c)
    • (
      9
      x
      −
      12
      y
      )
d)
    • (
      x
      +
      4
      y
      )

      (
      9
      x
      −
      12
      y
      )
e)
    • √x
  • (i)
    {a,d}
  • (ii)
    {c,a,d}
  • (iii)
    {b,e,d}
  • (iv)
    {d,e}
  • (v)
    {b,e}
Question 31
31.
    • Which of the following is a factor of
    • 26
      x
      2
       
      y
      3
       
      z
      5
       
    • ?
  • (i)
    x
    3
     
    y
    2
     
    z
    3
     
  • (ii)
    y
    4
     
    z
    3
     
  • (iii)
    y
    2
     
    z
    6
     
  • (iv)
    y
    2
     
    z
    3
     
  • (v)
    x
    2
     
    y
    2
     
    z
    6
     
Question 32
32.
    • Which of the following is not a factor of
    • 9
      x
      y
      5
       
      z
      5
       
    • ?
  • (i)
    9
    x
    y
    6
     
    z
    5
     
  • (ii)
    9
    y
    5
     
    z
    5
     
  • (iii)
    9
    x
    y
    3
     
  • (iv)
    9
    x
    y
    4
     
    z
    5
     
  • (v)
    9
    x
    y
    5
     
    z
    4
     
Question 33
33.
    • Which of the following is a factor of
    • (
      6
      x
      4
       
      +
      y
      5
       
      z
      3
       
      )
    • ?
  • (i)
    6
    x
    4
     
  • (ii)
    6
    x
    3
     
    z
  • (iii)
    no factors
  • (iv)
    6
    y
    2
     
  • (v)
    y
    5
     
    z
    3
     
Question 34
34.
    • Which of the following is an irreducible factor of
    • 40
      x
      5
       
      y
      2
       
      z
      4
       
    • ?
  • (i)
    y
    2
     
    z
  • (ii)
    x
  • (iii)
    x
    z
    4
     
  • (iv)
    x
    4
     
    y
  • (v)
    x
    4
     
    y
    2
     
    z
    4
     
    Assignment Key

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