I have a question around SOA.
Are SOAP and REST both considered approaches for implementing a service-oriented architecture?
I know that REST is a style, thus this leads me to this question.
Yes, they both can be considered approaches for implementing a SOA. I suppose you could say REST is a style, but then you'd have to say SOAP is one too. I would simply consider them different techniques to accomplish the same end. SOAP mimics a Remote Procedure Call and REST is inline with how the web (http) was designed.