1. Simplify the equation and choose the result from the given options: √(x3y3/a6b5)

2. Which is equal to 1/(√3+2i)?

3. Simplify the following equation using its LCM: a/xp + b/yq + c/zr=0

4. What is the cube of (ax + by) for a=2 and b=3?

5. Simplify (5i+4)(2i-3) and choose the answer from the options given below.

6. Select the correct answer from the options given below that is equal to: √(81×36)

7. Find the value in the following equation: 3x/4y=?/xy

8. One number is 4/5th of the another number. The sum of the reciprocals of the two numbers is 45. Find the two numbers. One number is 4/5thof the another number. The sum of the reciprocals of the two numbers is 45. Find the two numbers.

9. What is the result after solving the following expression: 4 × 63 + 24 / 8 - 4 × 29 + 65 / 10

10. Find the square of (3x + 4y + 2z).

11. Which equation on expanding will result in the given equation: 15ax + 9a + 6ay + 10x + 6 + 4y + 5bx + 3b + 2by

12. Find the correct set of answers for the following expressions: I) a + ( b × 4 ) II) a× ( b + 3 ) III) ( a× b)+ 3 given that a = 14 and b = 23.

13. What will be the value of the expression 2a5×3a2 for a=2?

14. Evaluate the following expression and choose the correct answer from the options given below: ( 4× 5 ) / 8 + 2 - ( 3 / 4 )

15. Ron bought 4 books B1, B2, B3 and B4 for $450. The price of two books, B1 and B3 is the same. The price of B2 is twice the price of B1. Find the price of book B4 if the price of Book B1 is $75.

16. Evaluate the expression: 3a - 4b + 6c + a - 2b - 2a + 3b - 4c + a + 2c

17. What will be the answer after the negation of 365, 450 - 472, - (340 - 288 ), and ( 689 - 340 ) respectively?

18. Check whether the equation is valid or not: 5a - 2b + 6c = 3a + 30 for a = 2,b = 2,c = 5.

19. What will be the value after solving the expression: 4 × 1 / 4 + 1 / 4a for a = 2 ?

20. Find a + b for a = 21.5 and b = 32.9.

21. Find the value of x from the given equation: ax2+ 2bx2+ √cx2=2080 where a=1, b=2,c=0.04

22. Find the solution to the following equation: 9a + 4bx + 3cy = 2bx2 + 2cy for x = 2,y = 4.

23. Symond deals in diamonds. He bought 3 diamonds for $4500. The price of the first diamond is half the price of the second diamond. The price of the second diamond is 1/3rd of the price of the third diamond. Find the cost of the first, second, and third diamond respectively.

24. Check if 72/105 is equal to 2/3

25. Find the value of x from the equation (2x + 3)2=36.

26. Simplify the following equation: 2/(x-3) + 3/(x-4) and also find the value for x=2.

27. Which is the correct inverse of 356a + 489b = 2?

28. Which represent the square of (3x + 2y)?

29. Sandy had some money with her. She saved ½ of the money, spent 1/3rd of the remaining money on shopping, spent 1/4th of the remaining money for paying electricity bill, and at the end, she was left with $60. Find the money that she had initially before spending or saving.

30. What is the number of factors in the third term of the following expression: a + bx+ ( c + d)× 3

31. Find the value of x from the following equation: 5x3=625

32. What is the value of the expression: - 4 × 5 + ax / bx2 - 55 / ( - 11 ) for a = 2, x = 5, b = 1?

33. Solve a3(1 + a) for a=2 and also find the correct form of distributive rule for the given expression. The solution and the distributive form are given in the options respectively.

34. Find the value of 134.

35. Find the value of expression respectively: - 111/ 3, - 135/ - 5, 456 / - 8

36. Find all the integer values of x for which inequality is satisfied. |x - 1| > 4

37. Find the square root of √(-256x2) for x=2.

38. What will be the value of the following expressions respectively? 16 / | - 4| , - 16 / |4| , 3 / | - 2|

39. Find the value of x from the equation: 3x + 2y + 7 = 0 where y = 2.2.

40. Find the value of x from the equation: 3x/4 + 2x/3=51

41. Find the values of x from the following equation: i23x+x2+3=31 where i is a complex number.

42. The sum of the age of person A and twice the age of person B is greater than the age of Person C. Find the inequality that depicts the given statement.

43. What will be the result after solving the fraction: (-3x2/4y-3)-3

44. 2/3rd of a number is added to 3/5th of the same number and the result is equal to 6. Find the approximate value of the number.

45. What is the square root of 2401?

46. Evaluate: √(3×20×12×5)

47. Which is equal to (12x) / (√3√4), for x=1/2?

48. Find the cube of (1.0x + 1.0y + 3.0z).

49. Find the value of -(-11)3

50. How many terms are there in the following expression: ax + (b + 2y)+(c+9)

51. Find the suitable answer that tells if the given conditions can be converted to continued inequalities or not, respectively. Condition 1: x > 1 and x < 5 Condition 2: x < 1 and x > 5

52. Solve and find the value of x from the following equation. x2 - 65=160

53. Find the correct inverse of the inequality: 4x + 5 > 3y

54. Which is/are factors of the trinomial expression: 4x2 + 7xy + 3y2

55. Evaluate the given expression: 3a × { [ 4b × ( 18 / a)] + 2 } for a = 3,b = 4

56. Which is rational numbers:

57. Which equation is/are true? I) √(ab)= √a√b, II) √(ax + b)= √a√x + √b, III) √(ab + 3ab)= 2√a√b

58. Which is the simple form of the fraction: 343x5y3xy2z7 / 7x2y14z3

59. What is a binomial and a trinomial?

60. What will be the result of the following expression: 465 – 792 + 289x - 54, for x = -2?

61. Given |a| < 5. Which continued inequalities depicts this relation?

62. What is the value of 8a4 for a = 3?

63. Check if the following equation is valid or not. (5x + 2y)3=125x3 + 8y3 + 150x2y + 60xy2

64. What will be the value of the following expression: 75ax /15bx given that a, b, and x are variables.

65. Simplify 1/[(1/√2)+(1/√3)] and choose the answer from the options given below.

66. What will be the result after solving the expression: (ax + b + cy)(2a + 3b + c)

67. What is the reciprocal of 2 / 4?

68. Find the value of the following expressions respectively: - 7 × 57, - 392 × - 3

69. Which is the compact form of the equation: a2b3c4d1d4b3c2ac6b3a2d

70. What is the solution to the following expression: (an + bm)(an-bm)

71. There are two consecutive numbers. Sum of 1/4th of first number and 3/2 of second number is equal to 19. Find the two numbers.

72. Check if the following inequality holds or not? a > 7b for a = 343 and b = 6.8 × 7.2

73. What will be the value of: (343)1/4(343)-1/12

74. What is the coefficient of x in the equation: (x + 3)(2x + 1)

75. What will be the result after addition (5x/2y) + (3x2/y2)?

76. Find the value expression: [ 5 - ( 3 + 2 ) ] / 2a where a is a variable.

77. Correct answer from the options after reducing (2xy-3x-4y + 6)/(3xy-2x-6y + 4) to lowest terms using factorization.

78. Find the factors of the expression: 2x3+ 7x2y + 3xy2

79. Find the missing value in 3/x=?/(2-x)