Google's mission is to dish out relevant websites according to what people type are searching for. They do this by understanding the content of pretty much every web-page in existence, then determining which of these is most relevant to the user according to a number of complex criteria. It's a colossal task which they do very well, but there are certain things you can do to help Google realise your site should be dished out near the top of the list.
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Google examines the phrases used within the link to your site so:
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... is no way near as effective as...
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Google has over a billion websites under its belt so it can take time for your site to be indexed or for changes to update in their index. Three months is the rule of thumb for updates so try and be patient.
Don't try and cheat!
Google employs some of the top brains in the world and is known for headhunting staff from NASA. They are smarter than almost everyone, and cheating their system is not worth the risk – Google will penalize or even remove sites which are trying to exploit quick methods of artificially increasing their ranking. Don't believe websites promising a quick fix.
If you would like more advice on improving your Google ranking, feel free to get in touch.