Some Algebra 2 questions. help?

Question

1.) Solve: 0=8/11y-40
2.)4(2x-3)=6-(3-2x)
3.)Solve for P: A=P+Prt
4.)5(2-1/2x)=4-(1/4x-1)
5.)Solve for z: y^2z+7z=y
6.)Solve for F: C=5/9(F-32)

Answer 1

1.) Solve: 0=8/11y-40
8/11y = 40
y = 11/8*40 = 55

2.)4(2x-3)=6-(3-2x)
8x-12 = 6 -3+6x
8x-6x =12+6-3
2x = 15 --> x = 7.5

3.)Solve for P: A=P+Prt
A=P(1+rt)
P = A/(1+rt)

4.)5(2-1/2x)=4-(1/4x-1)
10 -5x/2 = 4 - 1/4x +1
1/4x -5x/2 = 4-10 +1
- 9x/4 = -5
-9x = -20
x = 20/9

5.)Solve for z: y^2z+7z=y
z(y^2+7) =y
z = y/(y^2+7)

6.)Solve for F: C=5/9(F-32)
9/5C = F - 32
F = 9/5C + 32

Answer 2

1) 0 = 8/11y - 40
40 = 8/11y
440 = 8y
55 = y
y = 55

2) 4(2x - 3) = 6 - (3 - 2x)
8x - 12 = 6 - 3 + 2x
6x = 15
x = 15/6 = 5/2

3) I have no idea.

4) 5(2 - 1/2x) = 4 - (1/4x - 1)
10 - 5/2x = 4 - 1/4x + 1
-5/2x + 1/4x = 4 + 1 - 10
-9/4x = -5
9/4x = 5
9x = 20
x = 20/9

5) I don't know

6) This is the way to convert Celsius to Fahrenheit.
C=5/9(F-32)
C/5/9 + 32 = F
F = C/5/9 + 32

Answer 3

1) 40 = 8/)11y) 40(11y) = 8 440y = 8

y = 8/440 y = 1/55

2) 8x +2x -12 = 6 - 3 - 2x + 2x

10x - 12 = 3 10x 12 + 12 = 3 + 12

10x = 15 x = 1.5

3) ???

4) 10 - (5/2)x = x - 4

10 + 4 - (5/2)x = x - 4 + 4

14 - (5/2)x + (5/2)x = (2/2)x + (5/2)x

14 = (7/2)x 14(2) = (7/2)(2)x

28 = 7x 4 = x

5) ???

6) (9/5)C = (5/9)(9/5)(F-32)

(9/5)C = F - 32

(9/5)C + 32 = F

Answer 4

Number 2 i think is 4 = 5

Answer 5

1 is 55