EduSahara™ Assignment
Name : Algebraic Expression Concepts
Chapter : Algebraic Expressions and Identities
Grade : CBSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • The coefficient of term
    • x
    • in polynomial
    • (
      −
      4
      x
      +
      2
      		)
    • is
  • (i)
    -4
  • (ii)
    -2
  • (iii)
    -3
  • (iv)
    -6
  • (v)
    -5
Question 2
2.
    • The coefficient of term
    • h
      2
       
    • in polynomial
    • (
      −
      3
      h
      2
       
      +
      5
      h
      +
      8
      		)
    • is
  • (i)
    -6
  • (ii)
    -1
  • (iii)
    -4
  • (iv)
    -3
  • (v)
    -2
Question 3
3.
    • The coefficient of term
    • y
    • in polynomial
    • (
      −
      3
      y
      3
       
      +
      8
      y
      2
       
      +
      8
      y
      +
      2
      		)
    • is
  • (i)
    6
  • (ii)
    8
  • (iii)
    9
  • (iv)
    7
  • (v)
    10
Question 4
4.
    • The coefficient of term
    • e
    • in polynomial
    • (
      −
      8
      e
      4
       
      −
      5
      e
      3
       
      +
      4
      e
      2
       
      +
      7
      e
      −
      5
      		)
    • is
  • (i)
    7
  • (ii)
    6
  • (iii)
    8
  • (iv)
    9
  • (v)
    4
Question 5
5.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    −
    2
    x
    4
     
    −
    4
    x
    3
     
    +
    8
    x
    2
     
    −
    9
    x
    +
    6
    		)
  • (ii)
    (
    2
    x
    +
    7
    		)
  • (iii)
    (
    7
    x
    4
     
    +
    9
    x
    3
     
    +
    4
    x
    2
     
    		)
  • (iv)
    (
    x
    4
     
    +
    8
    x
    3
     
    −
    5
    x
    2
     
    −
    9
    x
    −
    6
    		)
  • (v)
    (
    −
    2
    x
    		)
Question 6
6.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    −
    6
    b
    4
     
    −
    2
    		)
  • (ii)
    (
    −
    5
    b
    4
     
    −
    5
    b
    3
     
    +
    4
    b
    2
     
    −
    7
    b
    −
    1
    		)
  • (iii)
    (
    −
    8
    b
    2
     
    		)
  • (iv)
    (
    9
    b
    4
     
    −
    9
    b
    3
     
    +
    5
    b
    2
     
    +
    5
    b
    +
    5
    		)
  • (v)
    (
    b
    4
     
    +
    3
    b
    2
     
    +
    7
    b
    		)
Question 7
7.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    −
    e
    3
     
    +
    6
    e
    2
     
    +
    8
    		)
  • (ii)
    (
    5
    e
    4
     
    +
    7
    e
    3
     
    +
    5
    e
    2
     
    −
    2
    e
    +
    3
    		)
  • (iii)
    (
    2
    e
    4
     
    +
    8
    e
    2
     
    		)
  • (iv)
    3
    e
    3
     
  • (v)
    (
    4
    e
    4
     
    −
    2
    e
    3
     
    −
    5
    e
    2
     
    +
    8
    e
    −
    4
    		)
Question 8
8.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    7
    s
    4
     
    −
    9
    s
    3
     
    −
    s
    2
     
    −
    8
    s
    +
    9
    		)
  • (ii)
    8
  • (iii)
    (
    9
    s
    3
     
    +
    7
    s
    2
     
    		)
  • (iv)
    (
    −
    8
    s
    3
     
    −
    6
    s
    −
    2
    		)
  • (v)
    9
    s
    3
     
Question 9
9.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    0
  • (ii)
    (
    5
    f
    3
     
    −
    9
    f
    2
     
    −
    5
    		)
  • (iii)
    (
    8
    f
    3
     
    −
    3
    f
    2
     
    		)
  • (iv)
    (
    −
    f
    4
     
    +
    6
    f
    3
     
    +
    8
    f
    2
     
    −
    5
    f
    −
    1
    		)
  • (v)
    (
    −
    2
    f
    		)
Question 10
10.
    • The constant term in polynomial
    • (
      3
      n
      o
      −
      24
      n
      −
      4
      o
      +
      9
      		)
    • is
  • (i)
    10
  • (ii)
    7
  • (iii)
    8
  • (iv)
    11
  • (v)
    9
Question 11
11.
    • The coefficient of term
    • j
    • in polynomial
    • (
      −
      7
      i
      2
       
      j
      −
      8
      i
      2
       
      −
      6
      i
      j
      +
      2
      j
      		)
    • is
  • (i)
    4
  • (ii)
    3
  • (iii)
    2
  • (iv)
    0
  • (v)
    1
Question 12
12.
    • The coefficient of term
    • b
      2
       
    • in polynomial
    • (
      −
      9
      b
      2
       
      −
      8
      b
      c
      2
       
      d
      2
       
      +
      4
      b
      c
      2
       
      −
      3
      c
      d
      2
       
      +
      7
      d
      		)
    • is
  • (i)
    -10
  • (ii)
    -12
  • (iii)
    -9
  • (iv)
    -8
  • (v)
    -7
Question 13
13.
    • The coefficient of term
    • v
      2
       
      w
      2
       
      x
      2
       
    • in polynomial
    • (
      2
      v
      3
       
      w
      3
       
      −
      4
      v
      3
       
      w
      2
       
      x
      3
       
      +
      v
      2
       
      w
      2
       
      x
      3
       
      −
      7
      v
      2
       
      w
      2
       
      x
      2
       
      +
      6
      v
      w
      3
       
      x
      2
       
      +
      3
      w
      2
       
      x
      2
       
      −
      4
      x
      		)
    • is
  • (i)
    -7
  • (ii)
    -6
  • (iii)
    -10
  • (iv)
    -5
  • (v)
    -8
Question 14
14.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    −
    5
    q
    3
     
    s
    −
    7
    q
    2
     
    r
    3
     
    −
    8
    q
    r
    3
     
    		)
  • (ii)
    9
    q
    3
     
    r
    2
     
    s
    3
     
  • (iii)
    (
    −
    7
    q
    2
     
    r
    s
    2
     
    +
    5
    r
    3
     
    s
    		)
  • (iv)
    (
    2
    q
    3
     
    r
    s
    3
     
    +
    3
    q
    2
     
    r
    3
     
    s
    +
    5
    r
    3
     
    s
    3
     
    +
    r
    2
     
    s
    3
     
    		)
  • (v)
    (
    5
    q
    3
     
    r
    2
     
    s
    −
    7
    q
    3
     
    r
    2
     
    +
    3
    q
    2
     
    r
    s
    3
     
    −
    7
    q
    2
     
    r
    s
    		)
Question 15
15.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    −
    3
    f
    3
     
    −
    f
    2
     
    g
    2
     
    h
    3
     
    +
    5
    f
    2
     
    h
    2
     
    		)
  • (ii)
    (
    4
    f
    2
     
    g
    3
     
    +
    8
    f
    2
     
    g
    2
     
    h
    2
     
    +
    7
    f
    2
     
    g
    +
    g
    h
    		)
  • (iii)
    (
    −
    4
    f
    3
     
    g
    h
    3
     
    −
    g
    3
     
    h
    3
     
    		)
  • (iv)
    6
    f
    2
     
    g
    2
     
    h
    2
     
  • (v)
    (
    −
    6
    f
    3
     
    h
    3
     
    +
    8
    f
    2
     
    g
    3
     
    h
    −
    6
    f
    g
    2
     
    h
    −
    7
    g
    3
     
    h
    2
     
    		)
Question 16
16.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    7
    s
    3
     
    u
    3
     
    −
    7
    s
    2
     
    t
    u
    −
    5
    s
    2
     
    u
    3
     
    +
    6
    s
    u
    3
     
    		)
  • (ii)
    (
    9
    s
    3
     
    t
    2
     
    +
    7
    s
    t
    3
     
    +
    s
    t
    −
    7
    t
    3
     
    u
    3
     
    		)
  • (iii)
    6
    s
    2
     
    t
    u
  • (iv)
    (
    −
    7
    s
    3
     
    t
    u
    2
     
    −
    8
    s
    u
    2
     
    −
    4
    u
    3
     
    		)
  • (v)
    (
    7
    s
    t
    3
     
    u
    −
    2
    t
    3
     
    u
    2
     
    		)
Question 17
17.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    −
    3
    		)
  • (ii)
    7
    i
    2
     
    j
    k
  • (iii)
    (
    3
    i
    3
     
    +
    i
    2
     
    j
    3
     
    k
    3
     
    +
    8
    i
    2
     
    j
    +
    3
    k
    3
     
    		)
  • (iv)
    (
    4
    i
    2
     
    j
    2
     
    k
    2
     
    +
    i
    k
    2
     
    +
    6
    j
    		)
  • (v)
    (
    −
    i
    2
     
    k
    3
     
    +
    j
    3
     
    k
    3
     
    		)
Question 18
18.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    0
  • (ii)
    (
    −
    7
    g
    3
     
    h
    2
     
    +
    8
    h
    3
     
    i
    3
     
    		)
  • (iii)
    (
    −
    8
    g
    3
     
    h
    2
     
    i
    2
     
    −
    7
    h
    i
    −
    7
    h
    		)
  • (iv)
    (
    8
    g
    3
     
    h
    i
    +
    2
    g
    3
     
    i
    −
    2
    g
    2
     
    h
    2
     
    i
    3
     
    +
    i
    		)
  • (v)
    g
    h
    3
     
    i
    3
     
    Assignment Key
  •  1) (i)
  •  2) (iv)
  •  3) (ii)
  •  4) (i)
  •  5) (v)
  •  6) (i)
  •  7) (i)
  •  8) (ii)
  •  9) (i)
  •  10) (v)
  •  11) (iii)
  •  12) (iii)
  •  13) (i)
  •  14) (ii)
  •  15) (iii)
  •  16) (iv)
  •  17) (i)
  •  18) (i)