WOW Expert Alchemist

Apprentice Alchemist
1-60
Minor Healing Potion
1x Silverleaf1x Peacebloom 1x Empty Vial
The cheap potential potion to make with the easiest/cheapest to obtain items. There is no cause not to obtain advantage of this.
Important, SAVE all of these. critically! You'll be use them again shortly.

60-75
Lesser Healing Potion
1x Minor Healing Potion1x Briarthorn1x Empty Vial.
Create fifteen of these then trains for Journeyman Alchemy.

Journeyman Alchemist

75-105
Lesser Healing Potion
1x Minor Healing Potion1x Briarthorn1x Empty Vial.
After you train to become a Journeyman Alchemist you require continuing making these as you already have the Minor Healing Potion from previous to, so it's pretty efficient.
You may want to place them on the Auction House, lowbies in the BGs like them for their cheapness.

105-110
Elixir of Wisdom
1x Mageroyal2x Briarthorn 1x Empty Vial.
You might not need to do this, you might get lucky with your Lesser Healing Potions and not need to use this. Don't struggle to force it though, these should be Orange and give you a point on each design.

110-150
Healing Potion
1x Briarthorn1x Bruiseweed1x Leaded Vial.
This force take you all the way to expert and these also sell type of well on the Auction House for lowbies in the bg. When finished, train to turn out to be an Expert Alchemist.
Expert Alchemist

150-155
Strong Troll's Blood
2x Briarthron2x Bruiseweed1x Leaded Vial.
Not that cost efficient, but patches you up until 155 when you can create Greater Healing Potions.

155-195
Greater Healing Potion
1x Kingsblood1x Liferoot 1x Leaded Vial
Once yet again healing potions reign supreme.

195-225
Elixir of Greater Defense
1x Wild Steelbloom1x Goldthorn 1x Leaded Vial.
When you achieve 225 you'll require to train to become an Artisan Alchemist. You'll keep making these after a tiny while. Their need of only two herbs, like healing potions, makes it a supreme choice.

Artisan Alchemist

225-235.
Elixir of Greater Defense.
1x Wild Steelbloom1x Goldthorn 1x Leaded Vial.
Continued from start.

235-265
Elixier of Detect Undead
1x Arthas' Tears1x Crystal Vial.
Sadly, these don't put up for sale that well unlike healing potions. However, it only requires ONE herb! One! Arthas' Tears aren't that uncommon either, bonus.

265-285
Superior Mana Potion
2x Sungrass2x Blindweed1x Crystal Vial
These kind of sell, but mana potions have never been that large. Anyway, pretty decent cost for the amount of points you get.

290-300
Major Healing Potions
2x Golden Sansam1x Mountain Silversage1x Crystal Vial
Cheap for the 10 points you need. Both this and the preceding Major Mana Potion come from recipes or can just be buy from the trainer in Outland. At 300 head to Outland.
Master Alchemist

300-305
Major Mana Potion
3x Dreamfoil2x Icecap1x Crystal Vail
Expensive, but useful for our own purposes.

The Burning Crusade

305-315
Elixir of Major Strength
1x Mountain Silversage1x Felweed1x Imbued Vial.
You now need to get to 315, or Volatile Healing Potions. Golden Sansam is GENERALLY cheaper then Mountain Silversage due to how ordinary Golden Sansam is.

315-330
Volatile Healing Potion
1x Felweed1x Golden Sansam1x Imbued Vial
Super cheap and determination get you 15 points.

330-340
Super Healing Potion
2x Dreaming Glory1x Felweed1x Imbued Vial
The last contemptible potion you'll find off your trainer. Enjoy these ten point as it'll be the last of the cost efficient leveling.

340-355
Super Mana Potion
2x Netherbloom1x Felweed1x Imbued Vial
This recipe is on three vendors that have a slow respond time. One vendor is in Blade's Edge Mountains and the extra two are in the Horde/Alliance Zangarmarsh towns. If you can get it, that will pretty cheap points.
Honestly, if you get the recipe, I'd obtain it all the way to 370 when it turn grey.

350-375
Transmutes
The cheap way to get 375 is just transmute your method there. At 364 the Alchemist's Stone is still Orange, so there is a free point there. seeing as transmutes do you have a HIGH recool time you can create other potions, like at 360 the Fel Mana Potion but it's a drop. Really, most good recipes past 350 are now drops or cooldown vendors.
I suggest taking Super Mana Potions as distant as possible then transmuting the last five points. However, when you reach 360 you can make the entire Major x Protection Potions and consequently have completed Alchemy. At 365 you get two more potions, but that's it. So your main goal would be to get to 365 (the last two drooped recipes) and then just let anything you make/transmute take you to 375