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
    • (
      −
      9
      s
      +
      3
      )
    • is
  • (i)
    0
  • (ii)
    3
  • (iii)
    5
  • (iv)
    2
  • (v)
    4
Question 2
2.
    • The coefficient of term
    • k
    • in polynomial
    • (
      −
      5
      k
      2
       
      −
      3
      k
      −
      3
      )
    • is
  • (i)
    -3
  • (ii)
    -1
  • (iii)
    -5
  • (iv)
    -2
  • (v)
    -4
Question 3
3.
    • The coefficient of term
    • r
      2
       
    • in polynomial
    • (
      2
      r
      3
       
      +
      4
      r
      2
       
      +
      3
      r
      +
      9
      )
    • is
  • (i)
    3
  • (ii)
    7
  • (iii)
    4
  • (iv)
    2
  • (v)
    5
Question 4
4.
    • The coefficient of term
    • s
      2
       
    • in polynomial
    • (
      −
      s
      4
       
      +
      9
      s
      3
       
      −
      2
      s
      2
       
      −
      9
      s
      +
      1
      )
    • is
  • (i)
    -5
  • (ii)
    -3
  • (iii)
    0
  • (iv)
    -2
  • (v)
    -1
Question 5
5.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    −
    3
    h
    4
     
    +
    2
    )
  • (ii)
    (
    −
    4
    h
    4
     
    −
    9
    h
    3
     
    −
    2
    h
    2
     
    −
    7
    h
    −
    6
    )
  • (iii)
    (
    −
    8
    h
    4
     
    +
    2
    h
    3
     
    +
    2
    h
    2
     
    +
    6
    h
    −
    8
    )
  • (iv)
    (
    3
    h
    3
     
    +
    3
    h
    2
     
    −
    6
    h
    )
  • (v)
    5
    h
    4
     
Question 6
6.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    −
    5
    p
    4
     
    +
    5
    p
    3
     
    +
    p
    2
     
    +
    5
    p
    −
    6
    )
  • (ii)
    (
    −
    7
    p
    4
     
    +
    p
    3
     
    −
    7
    p
    2
     
    +
    8
    p
    −
    4
    )
  • (iii)
    (
    −
    8
    p
    3
     
    −
    7
    p
    2
     
    +
    4
    p
    )
  • (iv)
    9
    p
    4
     
  • (v)
    (
    −
    4
    p
    4
     
    −
    6
    p
    2
     
    )
Question 7
7.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    2
    f
    4
     
    +
    3
    f
    3
     
    −
    7
    f
    2
     
    −
    2
    f
    −
    2
    )
  • (ii)
    (
    7
    f
    4
     
    +
    7
    f
    3
     
    +
    4
    f
    2
     
    +
    6
    f
    −
    5
    )
  • (iii)
    (
    6
    f
    4
     
    +
    f
    2
     
    +
    9
    f
    )
  • (iv)
    (
    −
    8
    f
    4
     
    )
  • (v)
    (
    4
    f
    4
     
    +
    8
    f
    2
     
    )
Question 8
8.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    4
    t
    3
     
    +
    1
    )
  • (ii)
    (
    2
    t
    4
     
    +
    9
    t
    3
     
    −
    7
    t
    2
     
    +
    7
    t
    −
    6
    )
  • (iii)
    (
    8
    t
    2
     
    +
    7
    t
    −
    4
    )
  • (iv)
    3
    t
    4
     
  • (v)
    9
Question 9
9.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    7
    p
    3
     
  • (ii)
    (
    2
    p
    2
     
    −
    p
    )
  • (iii)
    0
  • (iv)
    (
    2
    p
    2
     
    −
    7
    p
    +
    1
    )
  • (v)
    (
    −
    8
    p
    4
     
    +
    4
    p
    3
     
    −
    5
    p
    2
     
    +
    5
    p
    −
    5
    )
Question 10
10.
    • The coefficient of term
    • l
      m
    • in polynomial
    • (
      7
      l
      m
      +
      2
      l
      −
      3
      m
      +
      5
      )
    • is
  • (i)
    7
  • (ii)
    8
  • (iii)
    6
  • (iv)
    4
  • (v)
    10
Question 11
11.
    • The constant term in polynomial
    • (
      9
      l
      2
       
      m
      2
       
      −
      8
      l
      2
       
      −
      m
      +
      7
      )
    • is
  • (i)
    10
  • (ii)
    5
  • (iii)
    8
  • (iv)
    7
  • (v)
    6
Question 12
12.
    • The coefficient of term
    • u
      2
       
      v
    • in polynomial
    • (
      4
      u
      2
       
      v
      −
      2
      u
      2
       
      −
      4
      u
      v
      2
       
      w
      2
       
      −
      5
      u
      w
      −
      3
      w
      2
       
      )
    • is
  • (i)
    3
  • (ii)
    7
  • (iii)
    5
  • (iv)
    2
  • (v)
    4
Question 13
13.
    • The coefficient of term
    • d
    • in polynomial
    • (
      4
      b
      3
       
      c
      d
      3
       
      −
      3
      b
      2
       
      c
      2
       
      d
      2
       
      +
      8
      b
      2
       
      c
      d
      +
      7
      b
      c
      3
       
      d
      3
       
      +
      c
      3
       
      −
      6
      c
      d
      2
       
      −
      6
      d
      )
    • is
  • (i)
    -5
  • (ii)
    -3
  • (iii)
    -7
  • (iv)
    -8
  • (v)
    -6
Question 14
14.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    8
    p
    3
     
    q
    3
     
    r
    3
     
    −
    p
    2
     
    q
    r
    2
     
    −
    2
    p
    2
     
    +
    8
    p
    q
    3
     
    r
    2
     
    )
  • (ii)
    (
    2
    p
    3
     
    q
    2
     
    r
    −
    p
    3
     
    q
    2
     
    −
    2
    p
    2
     
    q
    2
     
    r
    )
  • (iii)
    (
    6
    p
    q
    2
     
    r
    3
     
    +
    2
    q
    r
    3
     
    )
  • (iv)
    (
    −
    7
    p
    q
    3
     
    r
    )
  • (v)
    (
    5
    p
    3
     
    q
    2
     
    r
    2
     
    −
    p
    3
     
    q
    +
    9
    q
    2
     
    +
    3
    q
    r
    )
Question 15
15.
Which of the following algebraic expressions is a binomial?
  • (i)
    3
    e
    f
    g
  • (ii)
    (
    2
    e
    2
     
    f
    g
    2
     
    −
    4
    e
    f
    2
     
    g
    )
  • (iii)
    (
    8
    e
    2
     
    f
    +
    8
    e
    f
    2
     
    g
    2
     
    −
    6
    e
    g
    3
     
    −
    e
    )
  • (iv)
    (
    9
    e
    3
     
    f
    2
     
    g
    3
     
    −
    3
    e
    2
     
    f
    3
     
    g
    +
    6
    f
    3
     
    g
    2
     
    +
    3
    f
    3
     
    )
  • (v)
    (
    −
    8
    e
    2
     
    f
    2
     
    g
    3
     
    +
    2
    f
    g
    2
     
    +
    3
    )
Question 16
16.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    2
    u
    2
     
    w
    3
     
    +
    9
    u
    w
    2
     
    )
  • (ii)
    (
    −
    6
    u
    2
     
    −
    8
    u
    v
    2
     
    w
    +
    5
    u
    v
    +
    7
    v
    w
    2
     
    )
  • (iii)
    (
    −
    8
    u
    2
     
    v
    3
     
    +
    6
    u
    2
     
    +
    9
    u
    w
    3
     
    −
    7
    )
  • (iv)
    (
    −
    5
    u
    v
    3
     
    w
    2
     
    )
  • (v)
    (
    −
    5
    u
    2
     
    v
    2
     
    +
    4
    v
    w
    3
     
    −
    5
    v
    )
Question 17
17.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    −
    5
    x
    2
     
    y
    z
    )
  • (ii)
    (
    4
    x
    2
     
    y
    3
     
    z
    3
     
    +
    y
    2
     
    z
    3
     
    )
  • (iii)
    (
    8
    x
    3
     
    y
    2
     
    +
    5
    x
    3
     
    z
    +
    2
    x
    2
     
    y
    z
    2
     
    +
    6
    y
    z
    )
  • (iv)
    (
    9
    x
    2
     
    y
    2
     
    z
    2
     
    +
    3
    x
    2
     
    y
    2
     
    z
    −
    x
    y
    2
     
    )
  • (v)
    9
Question 18
18.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    0
  • (ii)
    (
    6
    b
    c
    2
     
    +
    9
    b
    c
    d
    2
     
    +
    9
    b
    d
    2
     
    )
  • (iii)
    (
    −
    8
    b
    c
    2
     
    d
    2
     
    )
  • (iv)
    (
    −
    2
    c
    3
     
    d
    +
    9
    d
    2
     
    )
  • (v)
    (
    9
    b
    3
     
    +
    5
    b
    2
     
    d
    2
     
    +
    9
    b
    c
    3
     
    d
    −
    2
    c
    2
     
    d
    3
     
    )
Question 19
19.
    • Which of the following is a factor of
    • 46
      x
      3
       
      y
      z
      2
       
    • ?
  • (i)
    x
    4
     
    y
  • (ii)
    y
    z
    3
     
  • (iii)
    x
    3
     
    y
    z
    3
     
  • (iv)
    y
    2
     
  • (v)
    y
Question 20
20.
    • Which of the following is not a factor of
    • 45
      x
      4
       
      y
      5
       
      z
      3
       
    • ?
  • (i)
    9
    x
    5
     
    y
    6
     
    z
    4
     
  • (ii)
    9
    x
    3
     
    y
    5
     
    z
    3
     
  • (iii)
    9
    x
    4
     
    y
  • (iv)
    9
    x
    4
     
    y
    5
     
    z
    2
     
  • (v)
    9
    x
    4
     
    y
    4
     
    z
    3
     
Question 21
21.
    • Which of the following is an irreducible factor of
    • 2
      x
      4
       
      y
      2
       
      z
      4
       
    • ?
  • (i)
    y
    2
     
    z
  • (ii)
    x
    z
    2
     
  • (iii)
    x
    2
     
    y
    2
     
    z
    2
     
  • (iv)
    y
  • (v)
    x
    2
     
    y
    Assignment Key

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