Alchemy is one of the crafting professions. Usually you need Herbalism but the AH works.
First off you will need to make Minor Healing Potions from 1-60 you will need 59 Peacebloom and 59 Silverleaf Save the potions for later on.
Go train for Journeyman Alchemy.
Next you will need to make 50 Lesser Healing Potions use the Minor healing potions you just made.
Next make 5 Elixir of Wisdom's
Next make 33 healing potions
Go train for Expert Alchemy.
Next make 15 Lesser Mana Potions
Next make 20 Greater Healing Potions
Next make 10 mana potions
next make 25 Elixire of Forttitude or 20 Elixir of agility.
Go learn Artisan Alchemy.
Next make 10 Elixir of greater defence
Next Make 20 Superior Healing potion
If you are 75-85 you can skip this part because you can make an epic Alchemy Trinket later but if not make one Philosopher's stone.
next make 5 Elixir of Greater Intellect.
next make 25 Elixir of greater agility.
next make 5 superior mana potion.
next make 15 elicir of the sages.
Go train for Master Alchemy.
next make 18 major healing potion.
Choose one, 15 volatile healing potion, 15 onslaught elixir, or 15 adept's elixir.
next make 10 elixir of healing power.
next make 10 elixir of dreanic wisdom.
Next make 5 super healing potion.
next make 10 super mana potion.
Go train for Grand master Alchemy.
Next make 10 resurgent healing potion.
Next make 5 icy mana potion.
Next make 10 spellpower elixir.
Next make 5 pygmy oils.
next make 5 potion of nightmares.
next make 10 elixir of mighty strength.
next make 12 elixir of mighty agility.
next make 10 indestructible potion.
next make 20 runic mana potion.
Go train for Illustrious Alchemy.
Next make 27 Draught of war.
next make 5 ghost elixir
next make 5 deathblood venom.
next make 5 volcanic potion.
next make 11 elixir oof the cobra.
next make 5 elixir of deep earth.
next make 10 elixir of impossible accuracy.
next make 5 golemblood potion.
next make 9 elixir of the master.
Then make your epic alchemy trinket that goes with your class.
next make 1 ember topaz
next make 5 demonseye or 5 ocean sapphire.
next make 5 amberjewel.
now your at 525 Alchemy!!!! congratz!!!!