Here are some examples:
* "I saw a cat in the yard." This means you saw one cat, but it doesn't specify which cat.
* "Can you pass me a pencil?" This means you want any pencil, not a specific one.
"A" is also used before words that begin with a consonant sound, even if the first letter is a vowel. For example:
* "a university"
* "a European country"
To summarize, "a" is used to indicate a singular, unspecified item.