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