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

      x
d)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
e)
    • x
      2
       
      +
      1

      x
      2
       
  • (i)
    {a,b}
  • (ii)
    {c,a}
  • (iii)
    {d,b}
  • (iv)
    {e,c,a}
  • (v)
    {d,b,a}
Question 28
28.
Which of the following are not polynomials?
a)
    • (
      9
      x
      +
      12
      y
      )

      (
      8
      x
      3
      y
      )
b)
    • (
      9
      x
      +
      12
      y
      )
c)
    • (
      72
      x
      2
       
      +
      69
      x
      y
      36
      y
      2
       
      )
d)
    • x
      +
      1

      x
e)
    • 4
      x
      2
       
  • (i)
    {b,a}
  • (ii)
    {c,d,a}
  • (iii)
    {c,d}
  • (iv)
    {a,d}
  • (v)
    {e,b,a}
Question 29
29.
Which of the following are not polynomials?
a)
    • (
      11
      x
      10
      y
      )
b)
    • (
      10
      x
      +
      7
      y
      )
c)
    • 49
      x
      2
       
d)
    • √x
e)
    • 49
      x
      2
       
      +
      1

      49
      x
      2
       
  • (i)
    {d,e}
  • (ii)
    {c,a,d}
  • (iii)
    {b,e,d}
  • (iv)
    {b,e}
  • (v)
    {a,d}
Question 30
30.
Which of the following are not polynomials?
a)
    • (
      6
      x
      +
      12
      y
      )

      (
      4
      x
      3
      y
      )
b)
    • √x
c)
    • 25
      x
      2
       
d)
    • (
      24
      x
      2
       
      +
      30
      x
      y
      36
      y
      2
       
      )
e)
    • (
      4
      x
      3
      y
      )
  • (i)
    {c,a}
  • (ii)
    {e,c,a}
  • (iii)
    {a,b}
  • (iv)
    {d,b}
  • (v)
    {d,b,a}
Question 31
31.
    • Which of the following is a factor of
    • 2
      x
      2
       
      y
      3
       
      z
      4
       
    • ?
  • (i)
    x
    3
     
    y
    3
     
    z
    4
     
  • (ii)
    x
    2
     
    y
    4
     
    z
    4
     
  • (iii)
    x
    2
     
    y
    3
     
    z
    4
     
  • (iv)
    x
    2
     
    y
    3
     
    z
    5
     
Question 32
32.
    • Which of the following is not a factor of
    • 2
      x
      2
       
      y
      5
       
      z
      4
       
    • ?
  • (i)
    x
    2
     
    y
    4
     
    z
    4
     
  • (ii)
    x
    2
     
    y
    5
     
    z
    3
     
  • (iii)
    x
    2
     
    y
    4
     
  • (iv)
    x
    y
    5
     
    z
    4
     
  • (v)
    x
    2
     
    y
    6
     
    z
    5
     
Question 33
33.
    • Which of the following is a factor of
    • (
      6
      x
      2
       
      +
      y
      z
      3
       
      )
    • ?
  • (i)
    y
    z
    3
     
  • (ii)
    2
    x
    2
     
    z
  • (iii)
    2
    y
  • (iv)
    6
    x
    2
     
  • (v)
    no factors
Question 34
34.
    • Which of the following is an irreducible factor of
    • 5
      x
      2
       
      y
      4
       
      z
    • ?
  • (i)
    x
    z
  • (ii)
    x
    2
     
    y
    2
     
    z
  • (iii)
    y
  • (iv)
    x
    2
     
    y
  • (v)
    y
    2
     
    z
    Assignment Key

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