EduSahara™ Assignment
Name : Algebraic Expression Concepts
Chapter : Algebraic Expressions
Grade : CBSE Grade VII
License : Non Commercial Use
Question 1
1.
    • The constant term in polynomial
    • (
      4
      q
      8
      )
    • is
  • (i)
    -9
  • (ii)
    -11
  • (iii)
    -5
  • (iv)
    -7
  • (v)
    -8
Question 2
2.
    • The coefficient of term
    • q
      2
       
    • in polynomial
    • (
      5
      q
      2
       
      +
      2
      q
      9
      )
    • is
  • (i)
    4
  • (ii)
    5
  • (iii)
    3
  • (iv)
    7
  • (v)
    6
Question 3
3.
    • The coefficient of term
    • b
      3
       
    • in polynomial
    • (
      9
      b
      3
       
      2
      b
      2
       
      8
      b
      2
      )
    • is
  • (i)
    12
  • (ii)
    7
  • (iii)
    10
  • (iv)
    8
  • (v)
    9
Question 4
4.
    • The coefficient of term
    • w
      2
       
    • in polynomial
    • (
      6
      w
      4
       
      w
      3
       
      3
      w
      2
       
      9
      w
      +
      9
      )
    • is
  • (i)
    0
  • (ii)
    -2
  • (iii)
    -3
  • (iv)
    -5
  • (v)
    -4
Question 5
5.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    3
    m
    4
     
    +
    6
    m
    3
     
    9
    m
    2
     
    +
    9
    m
    3
    )
  • (ii)
    (
    6
    m
    4
     
    2
    m
    2
     
    )
  • (iii)
    (
    5
    m
    3
     
    5
    m
    2
     
    5
    m
    )
  • (iv)
    (
    8
    m
    2
     
    )
  • (v)
    (
    2
    m
    4
     
    +
    7
    m
    3
     
    +
    4
    m
    2
     
    2
    m
    +
    4
    )
Question 6
6.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    9
    m
    4
     
    +
    9
    m
    3
     
    +
    3
    m
    2
     
    3
    m
    +
    3
    )
  • (ii)
    (
    2
    m
    4
     
    5
    m
    3
     
    3
    m
    2
     
    2
    m
    9
    )
  • (iii)
    (
    8
    m
    4
     
    4
    m
    3
     
    7
    m
    2
     
    )
  • (iv)
    5
    m
    4
     
  • (v)
    (
    3
    m
    3
     
    5
    m
    )
Question 7
7.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    4
    k
    4
     
    )
  • (ii)
    (
    3
    k
    2
     
    +
    6
    )
  • (iii)
    (
    4
    k
    4
     
    +
    6
    k
    3
     
    4
    k
    2
     
    +
    9
    k
    +
    8
    )
  • (iv)
    (
    4
    k
    4
     
    6
    k
    3
     
    6
    k
    2
     
    )
  • (v)
    (
    7
    k
    4
     
    7
    k
    3
     
    +
    3
    k
    2
     
    7
    k
    2
    )
Question 8
8.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    4
    v
    3
     
    )
  • (ii)
    (
    9
    v
    4
     
    3
    v
    3
     
    8
    v
    2
     
    +
    9
    v
    +
    7
    )
  • (iii)
    (
    2
    )
  • (iv)
    (
    8
    v
    2
     
    8
    )
  • (v)
    (
    9
    v
    3
     
    +
    6
    v
    3
    )
Question 9
9.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    5
    b
    4
     
    +
    3
    b
    )
  • (ii)
    2
    b
    2
     
  • (iii)
    (
    3
    b
    4
     
    +
    5
    b
    3
     
    8
    b
    2
     
    b
    9
    )
  • (iv)
    (
    4
    b
    4
     
    +
    7
    b
    +
    9
    )
  • (v)
    0
Question 10
10.
    • The coefficient of term
    • n
    • in polynomial
    • (
      9
      m
      n
      6
      m
      5
      n
      +
      2
      )
    • is
  • (i)
    -3
  • (ii)
    -5
  • (iii)
    -4
  • (iv)
    -8
  • (v)
    -6
Question 11
11.
    • The coefficient of term
    • y
    • in polynomial
    • (
      2
      x
      2
       
      y
      2
       
      +
      6
      x
      2
       
      y
      +
      8
      x
      6
      y
      )
    • is
  • (i)
    -9
  • (ii)
    -3
  • (iii)
    -5
  • (iv)
    -7
  • (v)
    -6
Question 12
12.
    • The coefficient of term
    • i
      j
    • in polynomial
    • (
      9
      i
      2
       
      k
      2
       
      7
      i
      2
       
      k
      8
      i
      j
      2
       
      k
      2
       
      +
      4
      i
      j
      i
      k
      2
       
      )
    • is
  • (i)
    4
  • (ii)
    3
  • (iii)
    7
  • (iv)
    1
  • (v)
    5
Question 13
13.
    • The coefficient of term
    • t
      3
       
    • in polynomial
    • (
      6
      r
      2
       
      s
      3
       
      t
      3
       
      +
      5
      r
      2
       
      s
      3
       
      t
      2
       
      +
      3
      r
      2
       
      s
      2
       
      t
      3
       
      +
      7
      r
      s
      2
       
      t
      +
      7
      r
      s
      t
      +
      3
      s
      3
       
      t
      +
      5
      t
      3
       
      )
    • is
  • (i)
    4
  • (ii)
    3
  • (iii)
    5
  • (iv)
    7
  • (v)
    6
Question 14
14.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    3
    q
    2
     
    r
    s
    +
    6
    q
    s
    3
     
    +
    9
    r
    s
    2
     
    )
  • (ii)
    (
    6
    q
    2
     
    +
    7
    q
    r
    3
     
    s
    3
     
    )
  • (iii)
    (
    q
    3
     
    r
    3
     
    s
    3
     
    9
    q
    2
     
    r
    8
    q
    r
    3
     
    s
    2
     
    +
    8
    q
    r
    3
     
    s
    )
  • (iv)
    q
    3
     
    r
    s
    3
     
  • (v)
    (
    q
    3
     
    r
    s
    3
     
    3
    q
    2
     
    +
    q
    r
    s
    6
    s
    3
     
    )
Question 15
15.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    8
    g
    2
     
    h
    3
     
    i
    2
     
    +
    3
    g
    2
     
    3
    g
    h
    3
     
    i
    3
     
    8
    g
    h
    3
     
    i
    2
     
    )
  • (ii)
    (
    4
    g
    3
     
    h
    2
     
    i
    +
    9
    g
    3
     
    h
    i
    2
     
    9
    g
    h
    2
     
    7
    g
    i
    )
  • (iii)
    (
    9
    g
    3
     
    h
    2
     
    i
    4
    g
    h
    3
     
    +
    4
    h
    i
    3
     
    )
  • (iv)
    5
    g
    h
    2
     
    i
    2
     
  • (v)
    (
    4
    g
    3
     
    4
    g
    i
    2
     
    )
Question 16
16.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    8
    v
    2
     
    w
    3
     
    x
    2
     
    +
    7
    v
    2
     
    x
    2
     
    +
    2
    v
    2
     
    x
    6
    v
    w
    3
     
    x
    )
  • (ii)
    (
    7
    v
    2
     
    w
    3
     
    +
    v
    x
    2
     
    )
  • (iii)
    (
    8
    v
    3
     
    w
    x
    2
     
    +
    4
    v
    3
     
    w
    8
    v
    2
     
    w
    7
    v
    w
    2
     
    x
    3
     
    )
  • (iv)
    v
    3
     
    w
    2
     
    x
    3
     
  • (v)
    (
    2
    v
    3
     
    x
    3
     
    2
    v
    2
     
    w
    x
    2
     
    w
    3
     
    x
    3
     
    )
Question 17
17.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    a
    3
     
    c
    2
     
    a
    2
     
    b
    3
     
    5
    b
    3
     
    c
    2
     
    4
    c
    3
     
    )
  • (ii)
    4
  • (iii)
    (
    5
    a
    b
    3
     
    c
    3
     
    6
    a
    b
    2
     
    6
    b
    3
     
    c
    3
     
    )
  • (iv)
    (
    2
    a
    2
     
    b
    c
    3
     
    6
    a
    2
     
    c
    3
     
    )
  • (v)
    a
    3
     
    b
    2
     
    c
Question 18
18.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    3
    m
    3
     
    n
    3
     
    o
  • (ii)
    (
    2
    m
    2
     
    n
    o
    3
     
    +
    6
    m
    n
    2
     
    o
    )
  • (iii)
    (
    6
    m
    3
     
    o
    3
     
    3
    m
    3
     
    o
    2
    m
    n
    2
     
    o
    2
     
    +
    n
    3
     
    o
    2
     
    )
  • (iv)
    (
    8
    m
    3
     
    n
    3
     
    o
    3
    m
    3
     
    o
    2
     
    4
    m
    n
    o
    )
  • (v)
    0
Question 19
19.
    • Which of the following is a factor of
    • 31
      x
      5
       
      y
      2
       
      z
      5
       
    • ?
  • (i)
    31
    x
    5
     
    y
    z
    6
     
  • (ii)
    31
    y
  • (iii)
    31
    y
    3
     
  • (iv)
    31
    y
    z
    6
     
  • (v)
    x
    6
     
    y
Question 20
20.
    • Which of the following is not a factor of
    • 38
      x
      4
       
      y
      z
    • ?
  • (i)
    38
    x
    5
     
    y
    2
     
    z
  • (ii)
    38
    x
    2
     
  • (iii)
    38
    x
    4
     
    z
  • (iv)
    38
    x
    4
     
    y
  • (v)
    38
    x
    3
     
    y
    z
Question 21
21.
    • Which of the following is an irreducible factor of
    • 36
      x
      3
       
      y
      z
    • ?
  • (i)
    x
    2
     
    y
    2
     
    z
  • (ii)
    x
    z
  • (iii)
    x
    2
     
    y
  • (iv)
    y
    2
     
    z
  • (v)
    y
    Assignment Key

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