I'm kind of tired, so check my answers with my solutions and make sure i picked the right one

1)

Ans: C

Solution:

x^2 + 2x - 24 = 0

=> (x + 6)(x - 4) = 0

=> x = -6, x = 4

2)

Ans: B

Solution:

x^2 + 4x - 3 = 0

=> x = [-4 +/- sqrt(16 + 12)]/2 = -2 +/- sqrt(7)

3)

Ans: E

Solution:

x^2 - 8x + 5 = 0

=> x = [8 +/- sqrt(64 - 20)]/2 = 4 +/- sqrt(11)

4)

Ans: D

Solution: x = 0 or x - 5 = 0

=> x = 0, x = 5

5)

Ans: D

Solution: x - 2 = 0 or 2x - 5 = 0

=> x = 2, x = 5/2

6)

Ans: A

Solution:

x^2 + 4x - 21 = 0

=> (x + 7)(x - 3) = 0

=> x + 7 = 0 or x - 3 = 0

=> x = -7, x = 3

7)

Ans: B

Solution:

x^2 = 196

=> x = +/- sqrt(196) = +/- 14

8)

Ans: D

Solution:

9 = (n^2 - 3n)/2

=> 18 = n^2 - 3n

=> n^2 - 3n - 18 = 0

=> (n - 6)(n + 3) = 0

=> n = 6, n = -3

=> n = 6, since we can't have -3 sides

I will do the rest soon