Can you please help me with my Algebra II Pre-AP/IB homework(Only 10 Questions)?

Question

I have a 45 minute timed test coming up and we can't use our calculators. So, I would really appreciate it if you could explain to me in steps how you got the answers. Thanks. =D

Find the reciprocal and the opposite of each number.

12. 2π + 3

13. √3

Solve for x , show work, leave answers in fraction form..

29. √x − 1 = 7

30. √2x + 16 = 5

31. (3x + 1)² = 144

Evaluate:

35. (36) to the power of 1/2 =

36. (8) to the power of 1/3 =

Simplify:

40. (5x²)² =

41. √x² =

43. (2x − 5)² =

Answer 1

29. √x − 1 = 7

Try to get the x by itself,

√x = 7 + 1

√x = 8

x = 8^2

x = 64

30. √2x + 16 = 5

      Ã¢ÂˆÂš2x =  5 - 16

      Ã¢ÂˆÂš2x = -11

       2x = -11^2

       2x = 121

       x = 121/2 = 60 and 1/2

31. (3x + 1)² = 144

      Open up brackets,    

      (3x+1) (3x+1) = 144

9x^2 + 6x + 1 = 144

9x^2 + 6x - 143

Factorise the expression (I cant factorise sorry)

35. 36^(1/2)  is same as  Ã¢ÂˆÂš36.   ( examples:  25^(1/2) = √25,

                                              8^(2/3) = cube root of 8 squared,3√8^2)

36. 8^(1/3) is same as cube root of 3 which is 2

40. The rule for this is to just multiply the powers together so answer would be 25x^4

41. Answer is x

43.  (2x − 5)²

  = (2x - 5) (2x-5)

Open up the brackets,

4x^2 - 20x + 25 = 0

Factorise to find solutions,

Im not sure if the answers are all correct