Algebraic Expressions and Identities

51. Which of the following is a binomial?

• (A) 7 × a + a
• (B) 6a² + 7b + 2c
• (C) 4a × 3b × 2c
• (D) 6 (a² + b)

50. Which of the following are like terms?

• (A) 5xyz², –3xy²z
• (B) – 5xyz², 7xyz²
• (C) 5xyz², 5x²yz
• (D) 5xyz², x²y²z²

49. The sum of –7pq and 2pq is

• (A) –9pq
• (B) 9pq
• (C) 5pq
• (D) – 5pq

48. If we subtract –3x²y² from x²y², then we get

• (A) –4x²y²
• (B) –2x²y²
• (C) 2x²y²
• (D) 4x²y²

47. Number of terms in the expression a² + bc × d is

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

46. If we add ab – bc, bc – ca and ca – ab, the result is

• (A) 0
• (B) 2ab + bc + ca
• (C) 2ab – bc – ca
• (D) ab – 2bc – ca

45. a² – b² is equal to

• (A) (a – b)²
• (B) (a – b) (a – b)
• (C) (a + b) (a – b)
• (D) (a + b) (a + b)

44. The value of (a + b)² + (a – b)² is

• (A) 2a + 2b
• (B) 2a – 2b
• (C) 2a² + 2b²
• (D) 2a² – 2b²

43. The value of (a + b)² – (a – b)² is

• (A) 4ab
• (B) –4ab
• (C) 2a² + 2b²
• (D) 2a² – 2b²

42. If (a – b) × q = a² – 2ab + b², the value of q is

• (A) a + b
• (B) ab
• (C) a – b
• (D) a² – b²

41. If a² – b² = (a + b) × t, the value of t is

• (A) a + b
• (B) ab
• (C) a – b
• (D) a² – b²

40. If we write (a – b)² + m = a² – b², value of m is

• (A) 2ab
• (B) 2ab – b²
• (C) 2ab + b²
• (D) a² – b²

39. Let (a + b)² – 2ab = u + v. Values of u and v are

• (A) –b², 2ab
• (B) a², –b²
• (C) 2ab, b²
• (D) a², b²

38. If 67² – 33² = (67 – 33) × z, value of z is

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

37. If 103² – 102² = 205 × w, value of w is

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

36. Simplified value of (3x + 5y)² – 30xy is

• (A) 25x² + 9y²
• (B) 9x² + 25y²
• (C) 9x² + 5y²
• (D) 3x² + 25y²

35. Simplified value of 181² – 19² is

• (A) 3240
• (B) 32400
• (C) 3204
• (D) 32040