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