Are you appending the maps script by hand on your website, or using a plugin? Can you send here your website URL?
Anyway, here it is how to append the API key:
Let's assume that you have the following piece of code
<script async defer src="//maps.googleapis.com/maps/api/js" type="text/javascript"></script>
To append the apy key, you must add ?key=YOUR_API_KEY at the end of the src path, like this:
<script async defer src="//maps.googleapis.com/maps/api/js?key=YOUR_API_KEY" type="text/javascript"></script>
If, instead, your src path already has some appended parameters (for example, "//maps.googleapis.com/maps/api/js?v=3.exp&sensor=false
"), just add &key=YOUR_API_KEY at the very end:
"//maps.googleapis.com/maps/api/js?v=3.exp&sensor=false&key=YOUR_API_KEY
"
This is how you append the API parameter (obviously, replace YOUR_API_KEY with your API key code).
You can find more information on obtaining a google maps key at https://developers.google.com/maps/documentation/javascript/get-api-key
Your API key should be up and running within 5 minutes. Enjoy!