The tutorials are fine if you want something quick (and possibly dirty!). You'll probably benefit more from buying a book on "php5 and MySQL 5". There are loads of good books out there, but an unbelievably large number of poor online tutorials. Books are usually peer-reviewed, but any idiot (including myself) can write a tutorial and post it online.
In my experience, books are essential for the "basics", whereas online resources tend to be good for "quirky" or "experimental/cutting-edge" stuff - but only if you know what's going on.
I'd suggest learning the basics before jumping in with both feet and incorporating free online scripts. Being a "script bunny" will end in tears - your SQL statements will be full of security holes and your php will be pure spaghetti.
O'Reilly usually have good resources as well as Wrox (think they've died recently?). Although a boring subject, security is an essential aspect of learning the basics - XSS/sql injections etc. You won't believe how many tutorials I've read or scripts I've seen that don't pay the slightest attention to security.
BTW: Atli is right, as far as it goes, W3Schools is a decent resource.
Happy hunting.
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