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
    • (
      9
      x
      −
      9
      		)
    • is
  • (i)
    9
  • (ii)
    10
  • (iii)
    8
  • (iv)
    12
  • (v)
    6
Question 2
2.
    • The coefficient of term
    • z
    • in polynomial
    • (
      −
      z
      2
       
      −
      9
      z
      −
      1
      		)
    • is
  • (i)
    -7
  • (ii)
    -11
  • (iii)
    -10
  • (iv)
    -8
  • (v)
    -9
Question 3
3.
    • The coefficient of term
    • g
    • in polynomial
    • (
      −
      g
      3
       
      +
      6
      g
      2
       
      −
      3
      g
      −
      7
      		)
    • is
  • (i)
    -3
  • (ii)
    -2
  • (iii)
    -5
  • (iv)
    0
  • (v)
    -4
Question 4
4.
    • The coefficient of term
    • v
      2
       
    • in polynomial
    • (
      8
      v
      4
       
      −
      8
      v
      3
       
      +
      9
      v
      2
       
      −
      9
      v
      +
      6
      		)
    • is
  • (i)
    8
  • (ii)
    12
  • (iii)
    10
  • (iv)
    7
  • (v)
    9
Question 5
5.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    −
    9
    f
    4
     
    +
    8
    f
    3
     
    −
    3
    f
    2
     
    +
    9
    f
    −
    3
    		)
  • (ii)
    (
    −
    9
    f
    2
     
    		)
  • (iii)
    (
    −
    3
    f
    4
     
    +
    5
    f
    −
    1
    		)
  • (iv)
    (
    −
    7
    f
    4
     
    +
    3
    f
    3
     
    −
    7
    f
    2
     
    −
    4
    f
    +
    9
    		)
  • (v)
    (
    −
    4
    f
    2
     
    +
    2
    		)
Question 6
6.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    8
    g
    2
     
    +
    7
    g
    −
    2
    		)
  • (ii)
    (
    3
    g
    4
     
    +
    5
    g
    3
     
    −
    2
    g
    2
     
    +
    9
    g
    −
    2
    		)
  • (iii)
    8
    g
  • (iv)
    (
    6
    g
    +
    9
    		)
  • (v)
    (
    6
    g
    4
     
    +
    6
    g
    3
     
    −
    7
    g
    2
     
    −
    7
    g
    +
    4
    		)
Question 7
7.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    −
    8
    y
    4
     
    −
    2
    y
    3
     
    −
    7
    y
    2
     
    −
    2
    y
    −
    9
    		)
  • (ii)
    5
    y
    4
     
  • (iii)
    (
    −
    5
    y
    3
     
    −
    4
    		)
  • (iv)
    (
    4
    y
    4
     
    +
    3
    y
    3
     
    +
    8
    y
    2
     
    +
    8
    y
    −
    2
    		)
  • (v)
    (
    −
    8
    y
    2
     
    −
    6
    y
    −
    4
    		)
Question 8
8.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    8
  • (ii)
    (
    s
    3
     
    −
    7
    s
    2
     
    −
    9
    		)
  • (iii)
    5
    s
    4
     
  • (iv)
    (
    −
    9
    s
    4
     
    −
    4
    s
    3
     
    		)
  • (v)
    (
    −
    3
    s
    4
     
    −
    s
    3
     
    −
    6
    s
    2
     
    −
    2
    s
    +
    6
    		)
Question 9
9.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    4
    z
    4
     
    +
    3
    z
    3
     
    +
    2
    z
    2
     
    −
    5
    z
    +
    3
    		)
  • (ii)
    (
    −
    z
    4
     
    −
    7
    z
    −
    9
    		)
  • (iii)
    (
    −
    4
    z
    +
    2
    		)
  • (iv)
    0
  • (v)
    2
    z
    2
     
Question 10
10.
    • The coefficient of term
    • e
    • in polynomial
    • (
      −
      e
      f
      +
      e
      −
      7
      f
      −
      8
      		)
    • is
  • (i)
    4
  • (ii)
    -1
  • (iii)
    1
  • (iv)
    0
  • (v)
    2
Question 11
11.
    • The coefficient of term
    • f
      2
       
    • in polynomial
    • (
      e
      2
       
      f
      −
      9
      f
      2
       
      +
      2
      f
      −
      8
      		)
    • is
  • (i)
    -10
  • (ii)
    -9
  • (iii)
    -11
  • (iv)
    -7
  • (v)
    -8
Question 12
12.
    • The coefficient of term
    • d
      e
      2
       
    • in polynomial
    • (
      6
      d
      e
      2
       
      +
      d
      e
      f
      2
       
      +
      5
      d
      e
      f
      −
      5
      e
      f
      +
      6
      f
      		)
    • is
  • (i)
    7
  • (ii)
    4
  • (iii)
    9
  • (iv)
    5
  • (v)
    6
Question 13
13.
    • The coefficient of term
    • x
      3
       
      y
      z
      2
       
    • in polynomial
    • (
      −
      9
      x
      3
       
      y
      z
      2
       
      +
      3
      x
      3
       
      y
      +
      8
      x
      3
       
      z
      2
       
      +
      x
      2
       
      y
      2
       
      z
      +
      3
      x
      y
      3
       
      z
      2
       
      −
      x
      y
      −
      z
      		)
    • is
  • (i)
    -9
  • (ii)
    -12
  • (iii)
    -6
  • (iv)
    -8
  • (v)
    -10
Question 14
14.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    −
    9
    v
    3
     
    x
    3
     
    −
    5
    w
    3
     
    x
    −
    6
    x
    2
     
    		)
  • (ii)
    (
    3
    w
    x
    −
    8
    		)
  • (iii)
    5
    v
    w
    3
     
    x
    3
     
  • (iv)
    (
    −
    7
    v
    2
     
    w
    3
     
    x
    −
    6
    w
    3
     
    x
    2
     
    +
    6
    w
    2
     
    x
    3
     
    +
    6
    w
    x
    2
     
    		)
  • (v)
    (
    −
    7
    v
    3
     
    w
    x
    3
     
    +
    3
    v
    2
     
    w
    x
    3
     
    −
    w
    3
     
    −
    8
    w
    x
    2
     
    		)
Question 15
15.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    4
    h
    3
     
    i
    3
     
    j
    3
     
    +
    h
    3
     
    i
    j
    3
     
    +
    4
    h
    i
    3
     
    j
    2
     
    +
    9
    h
    i
    2
     
    j
    3
     
    		)
  • (ii)
    (
    −
    5
    h
    2
     
    j
    −
    8
    h
    j
    2
     
    		)
  • (iii)
    (
    −
    7
    h
    i
    2
     
    j
    		)
  • (iv)
    (
    −
    2
    h
    2
     
    j
    −
    7
    h
    i
    2
     
    j
    2
     
    −
    h
    i
    j
    3
     
    −
    2
    i
    2
     
    j
    		)
  • (v)
    (
    −
    3
    h
    2
     
    i
    3
     
    j
    +
    8
    h
    2
     
    i
    2
     
    j
    3
     
    +
    9
    h
    2
     
    i
    j
    		)
Question 16
16.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    2
    k
    3
     
    l
    2
     
    −
    4
    k
    2
     
    l
    m
    2
     
    +
    4
    m
    3
     
    		)
  • (ii)
    (
    −
    8
    l
    2
     
    −
    5
    m
    2
     
    		)
  • (iii)
    (
    5
    k
    3
     
    l
    3
     
    m
    2
     
    +
    5
    k
    3
     
    l
    2
     
    m
    2
     
    +
    6
    k
    l
    m
    3
     
    −
    6
    l
    		)
  • (iv)
    (
    −
    8
    k
    3
     
    l
    m
    		)
  • (v)
    (
    −
    8
    k
    3
     
    l
    m
    −
    2
    k
    3
     
    m
    2
     
    −
    7
    k
    2
     
    l
    3
     
    m
    2
     
    +
    2
    k
    l
    2
     
    m
    		)
Question 17
17.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    2
    e
    2
     
    f
    2
     
    g
    2
     
    −
    9
    f
    		)
  • (ii)
    3
  • (iii)
    (
    −
    6
    e
    f
    g
    		)
  • (iv)
    (
    9
    e
    3
     
    f
    2
     
    g
    −
    2
    e
    2
     
    f
    g
    3
     
    −
    9
    e
    f
    +
    4
    		)
  • (v)
    (
    3
    e
    2
     
    f
    3
     
    g
    3
     
    +
    2
    e
    f
    2
     
    g
    2
     
    −
    4
    e
    f
    2
     
    g
    		)
Question 18
18.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    −
    2
    o
    3
     
    p
    2
     
    q
    −
    3
    o
    3
     
    p
    q
    3
     
    −
    5
    o
    2
     
    p
    2
     
    q
    3
     
    		)
  • (ii)
    0
  • (iii)
    (
    −
    4
    o
    p
    3
     
    +
    6
    p
    q
    2
     
    		)
  • (iv)
    (
    −
    2
    o
    3
     
    p
    q
    3
     
    		)
  • (v)
    (
    4
    o
    3
     
    p
    −
    9
    o
    2
     
    p
    3
     
    q
    +
    3
    o
    2
     
    p
    2
     
    q
    +
    2
    p
    3
     
    q
    		)
    Assignment Key
  •  1) (i)
  •  2) (v)
  •  3) (i)
  •  4) (v)
  •  5) (ii)
  •  6) (iv)
  •  7) (v)
  •  8) (i)
  •  9) (iv)
  •  10) (iii)
  •  11) (ii)
  •  12) (v)
  •  13) (i)
  •  14) (iii)
  •  15) (ii)
  •  16) (i)
  •  17) (ii)
  •  18) (ii)