In English, we use the word, "try" to mean both "to try something out" and "to make an effort to do something". In Japanese, these are separate grammatical expressions. For instance, "I tried the cherry flavor" and "I tried to do homework" mean quite different things and though English does not make a distinction, Japanese does.
To try something out, you simply need to change the verb to the te-form and add 「みる」. If it helps you to remember, you can think of it as a sequence of an action and then seeing the result. In fact 「みる」 conjugates just like 「見る」. However, just like the 「～てほしい」 grammar we learned, this is a set phrase and 「みる」 is usually written in hiragana.
We already learned that the volitional form was used to indicate a will to set out to do something. If you guessed that this next grammar for attempting to do something would involve the volitional form, you were right. To say that you tried (as in attempted) to do something, you need to conjugate the verb into the volitional, enclose it in a quotation (so that we can perform an action on the clause) and finally add the verb 「する」. Or put more simply, you just add 「とする」 to the volitional form of the verb. This is simply an extension of the quoted subordinate clause from the last section. Instead of saying the quote （言う） or treating it as a thought （思う、考える）, we are simply doing it with 「する」.
Though we use the verb 「する」 to say, "to do attempt", we can use different verbs to do other things with the attempt. For instance, we can use the verb 「決める」 to say, "decide to attempt to do [X]". Here are some examples of other actions carried out on the attempt.