EduSahara™ Assignment
Name : Algebraic Expression Concepts
Chapter : Algebraic Expressions
Grade : CBSE Grade VII
License : Non Commercial Use
Question 1
1.
    • The coefficient of term
    • t
    • in polynomial
    • (
      t
      7
      )
    • is
  • (i)
    -2
  • (ii)
    1
  • (iii)
    -3
  • (iv)
    -1
  • (v)
    0
Question 2
2.
    • The constant term in polynomial
    • (
      x
      2
       
      +
      8
      x
      +
      9
      )
    • is
  • (i)
    9
  • (ii)
    10
  • (iii)
    12
  • (iv)
    7
  • (v)
    8
Question 3
3.
    • The coefficient of term
    • g
      3
       
    • in polynomial
    • (
      4
      g
      3
       
      8
      g
      2
       
      +
      4
      g
      +
      9
      )
    • is
  • (i)
    -7
  • (ii)
    -5
  • (iii)
    -3
  • (iv)
    -2
  • (v)
    -4
Question 4
4.
    • The coefficient of term
    • w
      2
       
    • in polynomial
    • (
      w
      4
       
      +
      2
      w
      3
       
      6
      w
      2
       
      +
      6
      w
      +
      4
      )
    • is
  • (i)
    -7
  • (ii)
    -8
  • (iii)
    -3
  • (iv)
    -5
  • (v)
    -6
Question 5
5.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    8
    e
    4
     
    8
    e
    +
    3
    )
  • (ii)
    (
    5
    e
    4
     
    5
    e
    3
     
    e
    2
     
    +
    6
    e
    7
    )
  • (iii)
    (
    5
    e
    4
     
    +
    4
    e
    3
     
    9
    e
    2
     
    9
    e
    5
    )
  • (iv)
    (
    8
    e
    2
     
    6
    e
    )
  • (v)
    (
    6
    e
    4
     
    )
Question 6
6.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    2
    d
    4
     
    3
    d
    3
     
    +
    4
    d
    2
     
    +
    4
    d
    +
    5
    )
  • (ii)
    (
    6
    d
    4
     
    )
  • (iii)
    (
    8
    d
    2
     
    +
    d
    )
  • (iv)
    (
    3
    d
    4
     
    9
    d
    2
     
    9
    )
  • (v)
    (
    5
    d
    4
     
    +
    8
    d
    3
     
    +
    4
    d
    2
     
    +
    3
    d
    7
    )
Question 7
7.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    3
    j
    4
     
    4
    j
    3
     
    7
    j
    2
     
    5
    j
    +
    1
    )
  • (ii)
    (
    9
    j
    )
  • (iii)
    (
    6
    j
    4
     
    6
    j
    3
     
    6
    j
    2
     
    6
    j
    +
    3
    )
  • (iv)
    (
    7
    j
    3
     
    2
    )
  • (v)
    (
    5
    j
    4
     
    8
    j
    3
     
    +
    8
    j
    2
     
    )
Question 8
8.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    7
    )
  • (ii)
    (
    4
    m
    4
     
    +
    m
    2
     
    +
    7
    m
    )
  • (iii)
    (
    3
    m
    3
     
    )
  • (iv)
    (
    5
    m
    3
     
    9
    m
    )
  • (v)
    (
    9
    m
    4
     
    +
    2
    m
    3
     
    +
    m
    2
     
    4
    m
    +
    6
    )
Question 9
9.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    8
    p
    3
     
    +
    7
    p
    2
     
    8
    )
  • (ii)
    p
  • (iii)
    (
    5
    p
    3
     
    7
    p
    2
     
    )
  • (iv)
    0
  • (v)
    (
    5
    p
    4
     
    2
    p
    3
     
    +
    9
    p
    2
     
    +
    5
    p
    4
    )
Question 10
10.
    • The coefficient of term
    • y
    • in polynomial
    • (
      12
      x
      y
      +
      5
      x
      y
      6
      )
    • is
  • (i)
    -2
  • (ii)
    -1
  • (iii)
    0
  • (iv)
    1
  • (v)
    -3
Question 11
11.
    • The coefficient of term
    • c
    • in polynomial
    • (
      9
      c
      2
       
      d
      +
      2
      c
      2
       
      2
      c
      d
      2
       
      +
      4
      c
      )
    • is
  • (i)
    4
  • (ii)
    1
  • (iii)
    3
  • (iv)
    5
  • (v)
    6
Question 12
12.
    • The coefficient of term
    • e
      f
    • in polynomial
    • (
      6
      d
      2
       
      e
      f
      2
      d
      e
      f
      4
      d
      e
      +
      9
      d
      f
      7
      e
      f
      )
    • is
  • (i)
    -5
  • (ii)
    -7
  • (iii)
    -6
  • (iv)
    -9
  • (v)
    -8
Question 13
13.
    • The coefficient of term
    • r
      s
      2
       
    • in polynomial
    • (
      8
      r
      2
       
      s
      t
      3
       
      r
      2
       
      r
      s
      2
       
      +
      7
      r
      s
      t
      +
      s
      3
       
      t
      4
      s
      2
       
      9
      )
    • is
  • (i)
    -3
  • (ii)
    -2
  • (iii)
    0
  • (iv)
    -1
  • (v)
    1
Question 14
14.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    9
    t
    3
     
    u
    v
    2
     
    +
    t
    u
    2
     
    v
    2
     
    6
    t
    v
    +
    6
    t
    )
  • (ii)
    (
    7
    t
    3
     
    u
    v
    2
     
    5
    t
    3
     
    v
    )
  • (iii)
    4
    t
    2
     
    u
    2
     
    v
  • (iv)
    (
    4
    t
    2
     
    u
    v
    3
     
    +
    4
    t
    v
    3
     
    +
    2
    t
    v
    )
  • (v)
    (
    5
    t
    3
     
    u
    3
     
    v
    3
     
    +
    t
    2
     
    u
    3
     
    +
    3
    u
    v
    3
     
    +
    4
    u
    v
    )
Question 15
15.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    4
    v
    x
    2
     
    +
    4
    w
    2
     
    x
    2
     
    +
    5
    w
    2
     
    x
    +
    7
    x
    )
  • (ii)
    (
    5
    v
    3
     
    w
    2
     
    x
    2
     
    +
    4
    w
    2
     
    x
    2
     
    )
  • (iii)
    (
    4
    v
    3
     
    w
    3
     
    x
    3
     
    +
    4
    v
    x
    3
     
    +
    7
    w
    3
     
    x
    2
    w
    x
    2
     
    )
  • (iv)
    (
    8
    v
    3
     
    w
    3
     
    x
    +
    2
    w
    x
    +
    1
    )
  • (v)
    (
    3
    v
    2
     
    w
    3
     
    x
    )
Question 16
16.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    m
    3
     
    o
    5
    n
    3
     
    o
    2
     
    +
    7
    n
    2
     
    o
    3
     
    +
    8
    o
    3
     
    )
  • (ii)
    (
    2
    m
    2
     
    n
    2
     
    o
    3
     
    +
    8
    m
    n
    3
     
    3
    n
    2
     
    o
    3
     
    )
  • (iii)
    (
    7
    m
    3
     
    n
    o
    3
     
    6
    m
    2
     
    +
    7
    n
    3
     
    o
    3
     
    +
    4
    n
    3
     
    )
  • (iv)
    6
    m
    n
    2
     
    o
    2
     
  • (v)
    (
    2
    m
    3
     
    n
    2
     
    +
    6
    m
    n
    o
    2
     
    )
Question 17
17.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    9
    r
    3
     
    s
    t
    3
     
  • (ii)
    (
    3
    r
    3
     
    s
    2
     
    t
    +
    4
    r
    2
     
    s
    t
    2
     
    +
    8
    r
    s
    t
    2
     
    )
  • (iii)
    (
    7
    r
    3
     
    s
    2
     
    9
    r
    3
     
    t
    +
    3
    r
    2
     
    s
    3
     
    +
    s
    2
     
    )
  • (iv)
    (
    8
    r
    s
    2
     
    t
    2
     
    2
    s
    t
    )
  • (v)
    2
Question 18
18.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    9
    x
    3
     
    y
    3
     
    +
    3
    x
    3
     
    y
    z
    x
    y
    2
     
    z
    3
    x
    y
    2
     
    )
  • (ii)
    0
  • (iii)
    (
    3
    x
    2
     
    y
    z
    2
     
    )
  • (iv)
    (
    9
    x
    3
     
    +
    8
    x
    y
    z
    )
  • (v)
    (
    5
    x
    y
    3
     
    z
    +
    6
    x
    y
    z
    3
     
    +
    8
    x
    )
Question 19
19.
    • Which of the following is a factor of
    • 8
      x
      4
       
      y
      2
       
      z
    • ?
  • (i)
    2
    x
    2
     
    y
    3
     
    z
  • (ii)
    2
    x
    2
     
    y
    z
  • (iii)
    2
    x
    4
     
    y
    z
    2
     
  • (iv)
    2
    x
    2
     
    y
    z
    2
     
  • (v)
    x
    5
     
    y
    z
Question 20
20.
    • Which of the following is not a factor of
    • 33
      x
      3
       
      y
      z
      3
       
    • ?
  • (i)
    3
    x
    4
     
    y
    2
     
    z
    4
     
  • (ii)
    3
    x
    3
     
    y
    z
    2
     
  • (iii)
    3
    x
    3
     
    z
    3
     
  • (iv)
    3
    x
    2
     
    y
    z
    3
     
  • (v)
    3
    x
    3
     
Question 21
21.
    • Which of the following is an irreducible factor of
    • 14
      x
      4
       
      y
      z
      2
       
    • ?
  • (i)
    x
  • (ii)
    x
    4
     
    y
    2
     
    z
    2
     
  • (iii)
    x
    4
     
    y
  • (iv)
    y
    2
     
    z
  • (v)
    x
    z
    2
     
    Assignment Key

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