Can someone please help me with my Algebra homework(only 10 questions)? Major test coming up!?

Question

I'm really scared. I have a forty-five 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. These are the only ones I have trouble with. 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

12) and 13)

The reciprocal of a number is just that number divided into 1. So for 2π+3, bracket the entire equation, then divide into 1. = 1/(2π+3).

For the opposite of a number. just multiply that number by -1.

For 2π+3, the opposite is (-1)(2π+3) = -2π-3.

Do problem 13 the same way.

29)

√x - 1 = 7

√x = 8

(√x)² = 8²

x = 64

30)

√2x + 16 = 5

√2x = 5 - 16

√2x = -11

x = -11 / √2

31)

(3x + 1)² = 144

take the square root of both sides

3x + 1 = 12

3x = 11

x = 11/3

35) 36 to the 1/2 power is the same as √36

36) 8 to the 1/3 power is the same as the cube root of 8.

40)

(5x²)² = 25x^4

41)

√x² = x

43.

(2x - 5)²

= (2x - 5)(2x - 5)

= 4x² - 10x - 10x + 25

= 4x² - 20x + 25