Algebraic Expressions and Identities

67. a(b + c) = ab + ac is

  • (A) commutative property
  • (B) distributive property
  • (C) associative property
  • (D) closure property

66. (a + b)c = ac + bc is

  • (A) commutative property
  • (B) distributive property
  • (C) associative property
  • (D) closure property

65. The product of a monomial and a binomial is a

  • (A) monomial
  • (B) binomial
  • (C) trinomial
  • (D) none of these

64. In a polynomial, the exponents of the variables are always

  • (A) integers
  • (B) positive integers
  • (C) non-negative integers
  • (D) non-positive integers

63. The product of two polynomials is a

  • (A) monomial
  • (B) binomial
  • (C) trinomial
  • (D) polynomial

62. Which is the like term as 24a2bc?

  • (A) 13 × 8a × 2b × c × a
  • (B) 8 × 3 × a × b × c
  • (C) 3 × 8 × a × b × c × c
  • (D) 3 × 8 × a × b × b × c

61. Which of the following is an identity?

  • (A) (p + q)2 = p2 + q2
  • (B) p2q2 = (pq) 2
  • (C) p2q2 = p2 + 2pqq2
  • (D) (p + q)2 = p2 + 2pq + q2

60. Which of the following is correct?

  • (A) (ab)2 = a2 + 2abb2
  • (B) (ab)2 = a2 – 2ab + b2
  • (C) (ab)2 = a2b2
  • (D) (a + b)2 = a2 + 2abb2

59. If (x + a)(x + b) = x2 + (a + b)x + p, then p is equal to

  • (A) (a + b)x
  • (B) bx
  • (C) ab
  • (D) ax

58. If (xa)(x + b) = x2 – (ab)x + p, then p is equal to

  • (A) a + b
  • (B) ab
  • (C) –ab
  • (D) ab

57. If (x + a)(xb) = x2 + pxab, then p is equal to

  • (A) a + b
  • (B) ab
  • (C) –ab
  • (D) ab

56. If (xa)(xb) = x2 + px + ab, then p is equal to

  • (A) (a + b)
  • (B) – (a + b
  • (C) ab
  • (D) –ab

55. Like term as 4m3n2 is

  • (A) 4m2n2
  • (B) –6m3n2
  • (C) 6pm3n2
  • (D) 4m3n

54. Coefficient of y in the term –y/3 is

  • (A) – 1
  • (B) – 3
  • (C) −1/3
  • (D) 1/3

53. The coefficient of the term –6x2y2 is

  • (A) 6
  • (B) –6
  • (C) –6x2
  • (D) –6y2

52. The numerical coefficient in –37abc is

  • (A) 37
  • (B) –37
  • (C) –37a
  • (D) –37bc
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