Trying to install SQL Server 2008 Management Studio Express
You need to install SQL Server 2008 first, then before running or rebooting install SQL Server 2008 Service Pack 1.  

You are attempting to install the service pack files first, without an existing base installation of SQL Server 2008.  Since the Service Pack 1 package does not contain a full installation of SQL Server, you must have already installed the non-service-pack version.  The other option would be to create a slip-streamed version of SQL Server 2008 setup by, essentially, combining the Service Pack 1 with the original version on DVD - then installing directly from that.  Check https://duckduckgo.com/?q=%22sql+server%22+slipstream+setup for more info.  

Don't click "Check for solutions online", click "Run Program" instead.  After that completes, install Service Pack 1.