EduSahara™ Assignment
Name : Algebraic Expression Concepts
Chapter : Algebraic Expressions
Grade : CBSE Grade VII
License : Non Commercial Use
Question 1
1.
    • The coefficient of term
    • x
    • in polynomial
    • (
      3
      x
      +
      2
      )
    • is
  • (i)
    3
  • (ii)
    4
  • (iii)
    2
  • (iv)
    5
  • (v)
    1
Question 2
2.
    • The constant term in polynomial
    • (
      8
      y
      2
       
      +
      3
      y
      6
      )
    • is
  • (i)
    -5
  • (ii)
    -9
  • (iii)
    -7
  • (iv)
    -6
  • (v)
    -3
Question 3
3.
    • The coefficient of term
    • j
    • in polynomial
    • (
      5
      j
      3
       
      +
      6
      j
      2
       
      3
      j
      9
      )
    • is
  • (i)
    -4
  • (ii)
    -3
  • (iii)
    -1
  • (iv)
    -2
  • (v)
    -6
Question 4
4.
    • The coefficient of term
    • k
      3
       
    • in polynomial
    • (
      8
      k
      4
       
      4
      k
      3
       
      +
      8
      k
      2
       
      2
      k
      +
      2
      )
    • is
  • (i)
    -3
  • (ii)
    -5
  • (iii)
    -4
  • (iv)
    -2
  • (v)
    -6
Question 5
5.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    z
    4
     
    +
    3
    z
    3
     
    +
    3
    z
    2
     
    4
    z
    8
    )
  • (ii)
    (
    6
    z
    3
     
    5
    z
    2
     
    +
    6
    z
    )
  • (iii)
    (
    9
    z
    4
     
    8
    z
    3
     
    +
    7
    z
    2
     
    +
    5
    z
    1
    )
  • (iv)
    8
    z
    3
     
  • (v)
    (
    7
    z
    2
     
    9
    )
Question 6
6.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    7
    j
    4
     
    +
    j
    3
     
    3
    j
    )
  • (ii)
    (
    4
    j
    4
     
    4
    j
    3
     
    )
  • (iii)
    (
    7
    j
    4
     
    +
    5
    j
    3
     
    3
    j
    2
     
    +
    7
    j
    +
    9
    )
  • (iv)
    (
    4
    j
    3
     
    )
  • (v)
    (
    6
    j
    4
     
    7
    j
    3
     
    +
    2
    j
    2
     
    +
    9
    j
    8
    )
Question 7
7.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    9
    j
    4
     
    3
    j
    3
     
    +
    4
    j
    2
     
    2
    j
    +
    7
    )
  • (ii)
    (
    j
    3
     
    +
    3
    j
    2
     
    )
  • (iii)
    9
    j
    4
     
  • (iv)
    (
    6
    j
    4
     
    +
    7
    j
    3
     
    +
    8
    j
    )
  • (v)
    (
    5
    j
    4
     
    4
    j
    3
     
    j
    2
     
    3
    j
    +
    2
    )
Question 8
8.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    7
  • (ii)
    (
    b
    )
  • (iii)
    (
    7
    b
    2
     
    9
    )
  • (iv)
    (
    6
    b
    4
     
    b
    8
    )
  • (v)
    (
    3
    b
    4
     
    +
    2
    b
    3
     
    +
    3
    b
    2
     
    7
    b
    +
    9
    )
Question 9
9.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    7
    m
    2
     
    7
    m
    1
    )
  • (ii)
    (
    3
    m
    2
     
    +
    7
    m
    )
  • (iii)
    (
    m
    3
     
    )
  • (iv)
    0
  • (v)
    (
    9
    m
    4
     
    9
    m
    3
     
    6
    m
    2
     
    +
    2
    m
    +
    5
    )
Question 10
10.
    • The coefficient of term
    • o
    • in polynomial
    • (
      5
      n
      o
      +
      4
      n
      9
      o
      +
      7
      )
    • is
  • (i)
    -7
  • (ii)
    -8
  • (iii)
    -9
  • (iv)
    -12
  • (v)
    -10
Question 11
11.
    • The coefficient of term
    • c
      d
      2
       
    • in polynomial
    • (
      12
      c
      2
       
      d
      2
       
      c
      2
       
      4
      c
      d
      2
       
      +
      6
      d
      )
    • is
  • (i)
    -7
  • (ii)
    -1
  • (iii)
    -5
  • (iv)
    -4
  • (v)
    -3
Question 12
12.
    • The coefficient of term
    • x
      y
      z
    • in polynomial
    • (
      x
      2
       
      y
      z
      6
      x
      2
       
      y
      8
      x
      2
       
      z
      2
       
      +
      6
      x
      y
      z
      +
      8
      x
      y
      )
    • is
  • (i)
    8
  • (ii)
    3
  • (iii)
    5
  • (iv)
    6
  • (v)
    7
Question 13
13.
    • The coefficient of term
    • w
      3
       
      y
      2
       
    • in polynomial
    • (
      5
      w
      3
       
      x
      2
       
      w
      3
       
      x
      y
      3
       
      w
      3
       
      y
      2
       
      w
      2
       
      x
      3
       
      y
      2
       
      2
      w
      2
       
      x
      3
       
      8
      w
      2
       
      y
      6
      y
      3
       
      )
    • is
  • (i)
    1
  • (ii)
    -1
  • (iii)
    0
  • (iv)
    -4
  • (v)
    -2
Question 14
14.
Which of the following algebraic expressions is a monomial?
  • (i)
    7
    d
    3
     
    e
    f
    3
     
  • (ii)
    (
    6
    d
    3
     
    e
    2
     
    5
    d
    e
    2
     
    f
    +
    4
    e
    2
     
    f
    )
  • (iii)
    (
    6
    d
    3
     
    e
    f
    +
    d
    3
     
    e
    +
    9
    d
    2
     
    e
    f
    5
    f
    )
  • (iv)
    (
    8
    d
    3
     
    e
    3
     
    +
    6
    d
    e
    2
     
    f
    3
     
    9
    e
    3
     
    f
    2
     
    +
    4
    e
    2
     
    f
    3
     
    )
  • (v)
    (
    3
    d
    e
    2
     
    f
    8
    )
Question 15
15.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    3
    x
    y
    z
    +
    7
    x
    z
    3
     
    )
  • (ii)
    (
    8
    x
    3
     
    y
    +
    5
    x
    2
     
    y
    +
    5
    x
    y
    3
     
    z
    +
    y
    z
    )
  • (iii)
    (
    7
    x
    2
     
    y
    z
    )
  • (iv)
    (
    7
    x
    3
     
    +
    8
    x
    2
     
    y
    3
     
    +
    2
    x
    2
     
    y
    2
     
    z
    3
     
    8
    y
    3
     
    z
    3
     
    )
  • (v)
    (
    7
    x
    3
     
    y
    z
    3
     
    +
    9
    x
    3
     
    z
    3
     
    +
    7
    y
    2
     
    z
    3
     
    )
Question 16
16.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    9
    x
    2
     
    y
    2
     
    +
    5
    x
    y
    3
     
    z
    3
     
    +
    7
    z
    3
     
    )
  • (ii)
    (
    6
    x
    2
     
    y
    z
    4
    x
    y
    z
    9
    y
    3
     
    z
    2
     
    8
    y
    z
    2
     
    )
  • (iii)
    9
    x
    y
    2
     
    z
    3
     
  • (iv)
    (
    x
    z
    +
    5
    y
    3
     
    z
    3
     
    2
    y
    2
     
    4
    z
    2
     
    )
  • (v)
    (
    3
    x
    3
     
    7
    y
    )
Question 17
17.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    4
  • (ii)
    (
    5
    s
    t
    3
     
    u
    2
     
    )
  • (iii)
    (
    7
    s
    +
    3
    t
    3
     
    u
    3
     
    6
    t
    2
     
    u
    +
    7
    t
    2
     
    )
  • (iv)
    (
    3
    s
    2
     
    t
    3
     
    u
    +
    8
    s
    2
     
    u
    3
     
    )
  • (v)
    (
    9
    s
    t
    u
    +
    4
    s
    u
    +
    9
    s
    )
Question 18
18.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    0
  • (ii)
    (
    7
    h
    i
    +
    6
    i
    j
    3
     
    )
  • (iii)
    (
    8
    h
    2
     
    i
    2
     
    j
    2
     
    6
    h
    2
     
    i
    2
     
    6
    h
    i
    j
    3
     
    7
    i
    3
     
    j
    2
     
    )
  • (iv)
    (
    8
    h
    3
     
    i
    2
     
    j
    3
     
    )
  • (v)
    (
    h
    3
     
    i
    3
     
    j
    +
    5
    h
    3
     
    j
    3
     
    +
    7
    i
    )
Question 19
19.
    • Which of the following is a factor of
    • 35
      x
      4
       
      y
      4
       
      z
      2
       
    • ?
  • (i)
    x
    5
     
    y
    3
     
  • (ii)
    35
    x
    4
     
    y
    3
     
    z
    3
     
  • (iii)
    35
    x
    2
     
    y
    3
     
    z
    3
     
  • (iv)
    35
    x
    2
     
    y
    5
     
  • (v)
    35
    x
    2
     
    y
    3
     
Question 20
20.
    • Which of the following is not a factor of
    • 3
      x
      4
       
      y
      4
       
      z
    • ?
  • (i)
    x
    4
     
    y
    3
     
    z
  • (ii)
    x
    4
     
    y
    4
     
  • (iii)
    x
    2
     
    z
  • (iv)
    x
    5
     
    y
    5
     
    z
    2
     
  • (v)
    x
    3
     
    y
    4
     
    z
Question 21
21.
    • Which of the following is an irreducible factor of
    • 5
      x
      3
       
      y
      z
      3
       
    • ?
  • (i)
    x
    2
     
    y
    z
    2
     
  • (ii)
    x
    2
     
    y
  • (iii)
    y
  • (iv)
    x
    z
    2
     
  • (v)
    y
    z
    Assignment Key

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