Solution:

There can be many solutions. Three such solutions are:
A) ((8 - 8)^8)!
B) sqrt(8) * sqrt(8)/8
C) (8*(8 - 8))!

Solution:

28745

Explanation

New Number = (Last Number +1 ) * 9
and Then New Number = (Last Number - 1 ) * 8 and so on.

i.e
1
(1+1) * 9 = 18
(18-1) * 8 = 136
(136+1) * 7 = 959
(959-1) * 6 = 5748
(5748+1) * 5 = 28745
(28745-1) * 4 = 114976
(114976+1) * 3 = 344931

Solution:

8! minutes

Explanation:
28 days x 24 hours x 60 minutes = 40,320 = 8! minutes.

Solution:

Blue Ball: 1
Red Ball: 8
White Ball: 5

Explanation :
185 + 185 + 185 = 555

Solution:

5

Explanation
First three equation in the image can be written as :
a) 3 BED = 30
b) 2 BED + BUS = 40
c) BED + 2 BUS+ 2 TROPHY = 60

From equation a)
BED = 10

From equation b)
BUS = 40 -20 =20

From equation c)
10 + 40 + 2 TROPHY = 60

TROPHY = 5

Solution:

The equation can be solved by substituting
B = 7
A = 8
S = 8
E = 3
L = 5

Therefore the equation now looks as:
7483 +
7455
-------
14938
-------

Solution:

There are multiple solutions to do so.
Solution1 :
Press 1
Press / (divide)
Press % (percent)
Press / (divide) .... this step may not require in all calculator.
Note: Three unique keys are '1', '/' and '%'

Solution2 :(My favorite)
Press 1
Press 0
Press 0
Press =
Note: Three unique keys are '1', '0' and '='

Solution:

0(zero) off course.

Solution:

3

Explanation:
Fernando + Alonso + McLaren = 6
Fernando x Alonso = 2
Alonso x McLaren = 6

Given.
Fernando x Alonso = 2
Alonso x McLaren = 6

Rewriting Both equations in terms of Alonso,
Fernando = 2/Alonso
McLaren = 6/Alonso

Replacing above values in equation "Fernando + Alonso + McLaren = 6"
2/Alonso + Alonso + 6/Alonso =6
(2 + Alonso^2 + 6)/Alonso = 6
8 + Alonso^2 = 6Alonso
Alonso^2 - 6Alonso + 8 = 0
(Alonso - 4) (Alonso - 2) = 0

Therefore;
Alonso = 4 or 2

Let's take value of Alonso as 2
Fernando = 2/2 = 1
McLaren = 6/2 = 3

Therefore;
McLaren x Fernando = 3 x 1 = 3

Solution:

Flyball should pay Lavy $11 instead of accepting his counter offer as in that case the club will end up paying almost double the amount.