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
    • (
      5
      d
      2
      )
    • is
  • (i)
    -5
  • (ii)
    -2
  • (iii)
    -3
  • (iv)
    -1
  • (v)
    0
Question 2
2.
    • The coefficient of term
    • i
    • in polynomial
    • (
      7
      i
      2
       
      9
      i
      +
      9
      )
    • is
  • (i)
    -10
  • (ii)
    -9
  • (iii)
    -6
  • (iv)
    -11
  • (v)
    -8
Question 3
3.
    • The coefficient of term
    • j
      2
       
    • in polynomial
    • (
      6
      j
      3
       
      6
      j
      2
       
      4
      j
      +
      1
      )
    • is
  • (i)
    -7
  • (ii)
    -9
  • (iii)
    -6
  • (iv)
    -5
  • (v)
    -3
Question 4
4.
    • The coefficient of term
    • f
    • in polynomial
    • (
      9
      f
      4
       
      6
      f
      3
       
      +
      3
      f
      2
       
      +
      9
      f
      1
      )
    • is
  • (i)
    7
  • (ii)
    12
  • (iii)
    10
  • (iv)
    9
  • (v)
    8
Question 5
5.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    2
    p
    4
     
    4
    )
  • (ii)
    (
    p
    3
     
    +
    p
    +
    8
    )
  • (iii)
    (
    2
    p
    4
     
    5
    p
    3
     
    9
    p
    2
     
    6
    p
    +
    1
    )
  • (iv)
    9
    p
    2
     
  • (v)
    (
    8
    p
    4
     
    +
    8
    p
    3
     
    +
    6
    p
    2
     
    7
    p
    +
    3
    )
Question 6
6.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    8
    j
    4
     
    6
    j
    3
     
    +
    8
    j
    2
     
    +
    2
    j
    +
    5
    )
  • (ii)
    (
    4
    j
    4
     
    )
  • (iii)
    (
    8
    j
    4
     
    +
    9
    j
    3
     
    j
    2
     
    +
    4
    j
    +
    9
    )
  • (iv)
    (
    9
    j
    4
     
    +
    6
    j
    2
     
    6
    )
  • (v)
    (
    9
    j
    4
     
    7
    j
    )
Question 7
7.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    5
    d
    4
     
    +
    7
    d
    )
  • (ii)
    (
    4
    d
    4
     
    )
  • (iii)
    (
    7
    d
    4
     
    2
    d
    3
     
    3
    d
    2
     
    +
    7
    d
    +
    2
    )
  • (iv)
    (
    3
    d
    4
     
    6
    d
    3
     
    +
    7
    d
    2
     
    9
    d
    +
    2
    )
  • (v)
    (
    7
    d
    3
     
    +
    8
    d
    2
     
    +
    3
    )
Question 8
8.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    4
    q
    4
     
    +
    3
    q
    3
     
    3
    )
  • (ii)
    (
    7
    q
    4
     
    6
    q
    3
     
    2
    q
    2
     
    +
    7
    q
    9
    )
  • (iii)
    (
    8
    q
    2
     
    2
    q
    )
  • (iv)
    (
    5
    q
    )
  • (v)
    3
Question 9
9.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    0
  • (ii)
    (
    3
    c
    4
     
    +
    c
    3
     
    2
    c
    2
     
    6
    c
    4
    )
  • (iii)
    (
    8
    c
    4
     
    +
    1
    )
  • (iv)
    8
    c
    4
     
  • (v)
    (
    4
    c
    3
     
    2
    c
    2
     
    5
    )
Question 10
10.
    • The coefficient of term
    • c
      d
    • in polynomial
    • (
      3
      c
      d
      +
      7
      c
      +
      d
      9
      )
    • is
  • (i)
    1
  • (ii)
    2
  • (iii)
    3
  • (iv)
    5
  • (v)
    4
Question 11
11.
    • The coefficient of term
    • v
    • in polynomial
    • (
      7
      u
      2
       
      v
      +
      6
      u
      2
       
      6
      v
      2
       
      9
      v
      )
    • is
  • (i)
    -7
  • (ii)
    -10
  • (iii)
    -8
  • (iv)
    -12
  • (v)
    -9
Question 12
12.
    • The coefficient of term
    • j
      2
       
      k
      2
       
    • in polynomial
    • (
      6
      j
      2
       
      k
      2
       
      l
      +
      9
      j
      2
       
      k
      2
       
      3
      j
      2
       
      k
      9
      j
      2
       
      8
      k
      l
      )
    • is
  • (i)
    6
  • (ii)
    12
  • (iii)
    10
  • (iv)
    9
  • (v)
    8
Question 13
13.
    • The coefficient of term
    • y
      2
       
      z
    • in polynomial
    • (
      8
      x
      2
       
      y
      3
       
      7
      x
      y
      3
       
      3
      x
      y
      2
       
      z
      2
       
      7
      x
      y
      z
      2
       
      x
      y
      7
      y
      2
       
      z
      9
      y
      z
      3
       
      )
    • is
  • (i)
    -6
  • (ii)
    -4
  • (iii)
    -8
  • (iv)
    -7
  • (v)
    -10
Question 14
14.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    4
    a
    3
     
    b
    3
     
    c
    3
     
    +
    a
    2
     
    b
    3
     
    c
    3
     
    +
    2
    a
    c
    2
     
    +
    3
    a
    )
  • (ii)
    (
    5
    a
    3
     
    c
    +
    a
    2
     
    b
    2
     
    c
    )
  • (iii)
    (
    7
    a
    3
     
    b
    2
     
    c
    3
     
    +
    6
    a
    2
     
    b
    c
    2
     
    5
    b
    3
     
    c
    7
    b
    c
    3
     
    )
  • (iv)
    (
    a
    3
     
    b
    2
     
    c
    )
  • (v)
    (
    9
    a
    3
     
    c
    +
    7
    a
    c
    3
     
    +
    5
    b
    3
     
    c
    3
     
    )
Question 15
15.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    h
    3
     
    i
    j
    +
    h
    2
     
    i
    2
     
    )
  • (ii)
    (
    h
    3
     
    j
    +
    5
    h
    2
     
    i
    +
    4
    h
    i
    j
    2
     
    )
  • (iii)
    9
    h
    3
     
    i
    2
     
    j
    2
     
  • (iv)
    (
    4
    h
    3
     
    i
    2
     
    j
    3
    h
    3
     
    i
    2
     
    +
    3
    h
    i
    j
    3
     
    6
    i
    )
  • (v)
    (
    6
    h
    3
     
    j
    +
    8
    h
    2
     
    +
    9
    h
    j
    +
    4
    i
    2
     
    j
    3
     
    )
Question 16
16.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    9
    x
    3
     
    y
    3
     
    z
    2
     
    +
    6
    x
    3
     
    y
    3
    y
    3
     
    z
    2
     
    )
  • (ii)
    (
    9
    x
    y
    3
     
    z
    2
     
    )
  • (iii)
    (
    3
    x
    y
    3
     
    +
    x
    y
    z
    3
     
    8
    y
    3
     
    +
    7
    z
    3
     
    )
  • (iv)
    (
    4
    x
    2
     
    y
    3
    x
    y
    2
     
    z
    +
    9
    x
    z
    2
     
    +
    9
    y
    )
  • (v)
    (
    5
    x
    3
     
    y
    3
     
    +
    x
    2
     
    y
    2
     
    z
    3
     
    )
Question 17
17.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    8
    q
    3
     
    r
    7
    q
    2
     
    r
    2
     
    s
    6
    r
    2
     
    s
    2
     
    5
    r
    )
  • (ii)
    (
    4
    q
    2
     
    r
    3
     
    s
    )
  • (iii)
    9
  • (iv)
    (
    9
    q
    3
     
    r
    2
     
    s
    3
     
    2
    q
    2
     
    r
    3
     
    s
    3
     
    2
    q
    2
     
    r
    3
     
    )
  • (v)
    (
    6
    q
    2
     
    r
    s
    3
    q
    r
    2
     
    )
Question 18
18.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    2
    m
    2
     
    n
    3
     
    +
    9
    m
    n
    3
     
    7
    n
    3
     
    o
    2
     
    +
    n
    2
     
    o
    )
  • (ii)
    (
    8
    m
    2
     
    n
    o
    )
  • (iii)
    (
    4
    m
    3
     
    o
    3
     
    +
    5
    m
    2
     
    o
    3
     
    6
    m
    n
    3
     
    o
    2
     
    )
  • (iv)
    0
  • (v)
    (
    8
    m
    2
     
    n
    o
    2
     
    5
    m
    n
    o
    2
     
    )
Question 19
19.
    • Which of the following is a factor of
    • 22
      x
      3
       
      y
      z
      3
       
    • ?
  • (i)
    x
    4
     
    y
    z
    2
     
  • (ii)
    22
    y
    z
    2
     
  • (iii)
    22
    y
    z
    4
     
  • (iv)
    22
    y
    2
     
    z
    2
     
  • (v)
    22
    x
    3
     
    y
    z
    4
     
Question 20
20.
    • Which of the following is not a factor of
    • 40
      x
      4
       
      y
      2
       
      z
      5
       
    • ?
  • (i)
    40
    x
    5
     
    y
    3
     
    z
    6
     
  • (ii)
    40
    x
    4
     
    y
    z
    2
     
  • (iii)
    40
    x
    4
     
    y
    z
    5
     
  • (iv)
    40
    x
    4
     
    y
    2
     
    z
    4
     
  • (v)
    40
    x
    3
     
    y
    2
     
    z
    5
     
Question 21
21.
    • Which of the following is an irreducible factor of
    • 37
      x
      2
       
      y
      3
       
      z
    • ?
  • (i)
    x
    2
     
    y
  • (ii)
    x
    2
     
    y
    3
     
    z
  • (iii)
    y
    3
     
    z
  • (iv)
    x
    z
  • (v)
    y
    Assignment Key

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