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
    • (
      u
      +
      6
      )
    • is
  • (i)
    5
  • (ii)
    7
  • (iii)
    3
  • (iv)
    6
  • (v)
    8
Question 2
2.
    • The constant term in polynomial
    • (
      m
      2
       
      +
      5
      m
      +
      9
      )
    • is
  • (i)
    11
  • (ii)
    9
  • (iii)
    8
  • (iv)
    10
  • (v)
    7
Question 3
3.
    • The constant term in polynomial
    • (
      8
      z
      3
       
      +
      4
      z
      2
       
      4
      z
      +
      5
      )
    • is
  • (i)
    6
  • (ii)
    2
  • (iii)
    4
  • (iv)
    8
  • (v)
    5
Question 4
4.
    • The coefficient of term
    • b
    • in polynomial
    • (
      4
      b
      4
       
      +
      3
      b
      3
       
      +
      8
      b
      2
       
      6
      b
      +
      6
      )
    • is
  • (i)
    -4
  • (ii)
    -6
  • (iii)
    -7
  • (iv)
    -5
  • (v)
    -9
Question 5
5.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    4
    r
    3
     
    )
  • (ii)
    (
    r
    4
     
    r
    3
     
    r
    2
     
    +
    4
    r
    +
    2
    )
  • (iii)
    (
    r
    4
     
    +
    4
    r
    2
     
    +
    9
    )
  • (iv)
    (
    9
    r
    4
     
    +
    7
    )
  • (v)
    (
    8
    r
    4
     
    +
    3
    r
    3
     
    +
    7
    r
    2
     
    9
    r
    +
    7
    )
Question 6
6.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    q
    4
     
    )
  • (ii)
    (
    2
    q
    3
     
    5
    )
  • (iii)
    (
    3
    q
    4
     
    +
    9
    q
    3
     
    9
    q
    2
     
    2
    q
    1
    )
  • (iv)
    (
    2
    q
    4
     
    6
    q
    3
     
    +
    7
    q
    2
     
    q
    2
    )
  • (v)
    (
    3
    q
    4
     
    +
    9
    q
    2
     
    q
    )
Question 7
7.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    2
    m
    3
     
    7
    m
    2
     
    )
  • (ii)
    (
    4
    m
    2
     
    )
  • (iii)
    (
    4
    m
    4
     
    +
    5
    m
    3
     
    +
    7
    )
  • (iv)
    (
    8
    m
    4
     
    2
    m
    3
     
    3
    m
    2
     
    6
    m
    +
    3
    )
  • (v)
    (
    6
    m
    4
     
    7
    m
    3
     
    2
    m
    2
     
    5
    m
    +
    6
    )
Question 8
8.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    2
  • (ii)
    (
    6
    u
    4
     
    6
    u
    3
     
    6
    u
    2
     
    6
    u
    +
    6
    )
  • (iii)
    6
    u
    2
     
  • (iv)
    (
    7
    u
    3
     
    3
    u
    2
     
    +
    2
    u
    )
  • (v)
    (
    3
    u
    3
     
    +
    2
    )
Question 9
9.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    0
  • (ii)
    3
    h
    4
     
  • (iii)
    (
    2
    h
    4
     
    +
    6
    h
    6
    )
  • (iv)
    (
    h
    4
     
    9
    h
    3
     
    6
    h
    2
     
    +
    h
    4
    )
  • (v)
    (
    2
    h
    2
     
    +
    3
    )
Question 10
10.
    • The coefficient of term
    • j
      k
    • in polynomial
    • (
      9
      j
      k
      6
      j
      +
      3
      k
      2
      )
    • is
  • (i)
    7
  • (ii)
    10
  • (iii)
    9
  • (iv)
    8
  • (v)
    12
Question 11
11.
    • The coefficient of term
    • p
    • in polynomial
    • (
      8
      p
      2
       
      q
      +
      3
      p
      q
      2
       
      +
      10
      p
      8
      q
      2
       
      )
    • is
  • (i)
    8
  • (ii)
    10
  • (iii)
    13
  • (iv)
    9
  • (v)
    11
Question 12
12.
    • The constant term in polynomial
    • (
      7
      g
      2
       
      i
      2
       
      5
      g
      2
       
      9
      g
      i
      2
       
      5
      i
      9
      )
    • is
  • (i)
    -9
  • (ii)
    -8
  • (iii)
    -10
  • (iv)
    -12
  • (v)
    -6
Question 13
13.
    • The coefficient of term
    • r
      s
      3
       
      t
    • in polynomial
    • (
      6
      r
      3
       
      s
      2
       
      t
      +
      8
      r
      3
       
      s
      2
       
      +
      3
      r
      3
       
      t
      3
       
      +
      2
      r
      3
       
      t
      2
       
      r
      2
       
      s
      2
       
      +
      2
      r
      2
       
      s
      3
      r
      s
      3
       
      t
      )
    • is
  • (i)
    -6
  • (ii)
    -2
  • (iii)
    -4
  • (iv)
    -1
  • (v)
    -3
Question 14
14.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    2
    p
    3
     
    q
    3
     
    r
    +
    6
    p
    q
    r
    3
     
    +
    6
    q
    2
     
    r
    3
     
    )
  • (ii)
    (
    6
    p
    2
     
    q
    2
     
    r
    +
    6
    p
    2
     
    r
    8
    p
    q
    3
     
    r
    2
     
    5
    p
    q
    )
  • (iii)
    (
    9
    p
    q
    2
     
    r
    8
    q
    r
    3
     
    )
  • (iv)
    (
    p
    2
     
    q
    3
     
    +
    9
    p
    2
     
    4
    q
    2
     
    r
    +
    6
    q
    2
     
    )
  • (v)
    9
    p
    3
     
    q
    r
    3
     
Question 15
15.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    7
    h
    3
     
    i
    2
     
    j
    3
     
    +
    9
    h
    3
     
    i
    +
    5
    h
    3
     
    j
    +
    8
    h
    2
     
    i
    2
     
    j
    2
     
    )
  • (ii)
    (
    2
    h
    3
     
    i
    3
     
    +
    h
    3
     
    i
    2
     
    j
    5
    h
    2
     
    j
    )
  • (iii)
    4
    h
    i
    3
     
    j
    3
     
  • (iv)
    (
    2
    h
    i
    3
     
    j
    +
    8
    h
    i
    +
    7
    i
    2
     
    j
    2
     
    +
    9
    i
    2
     
    j
    )
  • (v)
    (
    6
    h
    i
    2
     
    7
    i
    2
     
    j
    )
Question 16
16.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    8
    f
    3
     
    g
    h
    2
     
    +
    6
    f
    g
    3
     
    h
    3
     
    )
  • (ii)
    f
    g
    3
     
    h
    2
     
  • (iii)
    (
    7
    f
    3
     
    g
    3
     
    h
    3
     
    +
    7
    f
    2
     
    h
    2
     
    +
    2
    f
    g
    3
     
    h
    3
     
    +
    8
    g
    3
     
    h
    )
  • (iv)
    (
    f
    2
     
    g
    3
     
    h
    +
    f
    2
     
    g
    3
     
    +
    9
    f
    g
    3
     
    )
  • (v)
    (
    4
    f
    3
     
    g
    3
     
    h
    3
     
    +
    9
    f
    2
     
    g
    2
     
    +
    8
    f
    h
    3
     
    +
    9
    g
    2
     
    h
    3
     
    )
Question 17
17.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    p
    3
     
    q
    2
     
    r
    2
     
    +
    9
    p
    2
     
    r
    +
    9
    p
    q
    r
    2
     
    +
    9
    q
    3
     
    r
    2
     
    )
  • (ii)
    (
    p
    2
     
    q
    3
     
    r
    2
     
    )
  • (iii)
    1
  • (iv)
    (
    2
    p
    2
     
    q
    2
     
    r
    4
    p
    q
    3
     
    r
    2
     
    )
  • (v)
    (
    3
    p
    q
    2
     
    r
    2
     
    +
    2
    p
    q
    +
    q
    2
     
    r
    2
     
    )
Question 18
18.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    0
  • (ii)
    5
    l
    m
    3
     
    n
  • (iii)
    (
    5
    l
    3
     
    m
    2
     
    n
    2
     
    +
    8
    l
    m
    n
    3
     
    +
    2
    m
    3
     
    )
  • (iv)
    (
    l
    m
    3
     
    n
    3
     
    +
    l
    m
    2
     
    n
    )
  • (v)
    (
    l
    3
     
    m
    3
     
    n
    3
     
    +
    9
    l
    3
     
    m
    2
     
    n
    2
     
    +
    2
    l
    2
     
    n
    3
     
    3
    l
    n
    )
Question 19
19.
    • Which of the following is a factor of
    • 34
      x
      4
       
      y
      z
    • ?
  • (i)
    2
    x
    4
     
    z
    2
     
  • (ii)
    2
    x
    3
     
    z
  • (iii)
    x
    5
     
    z
  • (iv)
    2
    x
    3
     
    y
    2
     
    z
  • (v)
    2
    x
    3
     
    z
    2
     
Question 20
20.
    • Which of the following is not a factor of
    • 21
      x
      2
       
      y
      4
       
      z
    • ?
  • (i)
    7
    x
    2
     
    y
    3
     
    z
  • (ii)
    7
    x
    y
    4
     
    z
  • (iii)
    7
    y
    3
     
  • (iv)
    7
    x
    3
     
    y
    5
     
    z
  • (v)
    7
    x
    2
     
    y
    4
     
Question 21
21.
    • Which of the following is an irreducible factor of
    • 13
      x
      4
       
      y
      4
       
      z
      2
       
    • ?
  • (i)
    x
    2
     
    y
  • (ii)
    z
  • (iii)
    x
    2
     
    y
    4
     
    z
    2
     
  • (iv)
    x
    z
    2
     
  • (v)
    y
    4
     
    z
    Assignment Key

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