How to pronounce 와, 의, 왜, 워, 위, 외, 웨???????????
So, I know they are "wa, ui, wae, wo, wi, and we" but I don't know how to pronounce them correctly sometimes.
In America, we pronounce every letter so it's harder to be more subtle like Koreans.

***Sometimes, it doesn't even sound like it has a "w" sound in some of the words!!!! ㅠㅠ Help me please!

Question

How to pronounce 와, 의, 왜, 워, 위, 외, 웨???????????
So, I know they are "wa, ui, wae, wo, wi, and we" but I don't know how to pronounce them correctly sometimes.
In America, we pronounce every letter so it's harder to be more subtle like Koreans.

***Sometimes, it doesn't even sound like it has a "w" sound in some of the words!!!! ㅠㅠ Help me please!

Answer

ᅪ : Wa (like in Wario) 
ᅯ : Wo (like in Water).
ᅫ, ᅰ and ᅬare all similar and require the use of different tones
ᅫ sounds like the start of  “Wag”
ᅰ sounds like the start of “Wedding” 
ᅬ sounds like the start of “Weight”. 
ᅱ : Wii as in the Nintendo Wii. 
ᅴ a unique double sound like in the word “Gooey”.

Refer to https://www.youtube.com/watch?v=0ZhOeA0RD9o
10:49 ~ 13:59

Answer

I agree with this question, and I don't see a full answer here.  Can anyone provide one? 
For example:  봤지  has the letter ㅘ  .   Seems like it should be pronounced "bwatt-ji", but it sounds like "batt-ji" .  Is there some rule or name for this phenomenon?