You can use your laptop to make money online by several different ways such as freelancing, taking online surveys for cash, blogging, writing content for other blogs etc.
You can also review websites for cash, get paid for searching the web, do online betting, get paid to view websites, do online market trading or start your own Youtube Channel and make money through advertisements on your videos.
You can also do affiliate marketing from your laptop and start a blog using a web hosting and free wordpress blogging script.
Write a lot of content and get natural organic search traffic and overtime you can earn some good money blogging.
But for some quick cash with your laptop you can take surveys or do freelance jobs.
Inboxdollars and surveyjunkie are two good survey websites to make money taking surveys.