PageRank provides a means to determine the value of a website for any given search term or keyword phrase.PageRank was developed, in order to create an algorithm for Google that would allow the website to rank all web pages based on merit.
A Search Engine Results Page (SERP) is the listing of websites returned when you enter a query into a search engine. The results might include a list of websites with different titles, a link to the page as well as a brief description displaying where the keywords have matched content within said page.