SQL 2012 :: Script To Check DB Names Against Jobs

As part of my backup routine, I have a SQL job for each DB which which is called "DB-NAME - Backup Job"

I need to put a script together to check that each database has a backup job associated to it.

select * From sys.sysdatabases where name not in ('msdb','model', 'master', 'Tempdb', 'DBA') order by name desc

select * from msdb.dbo.sysjobs order by name desc

I know all the details i need are in there, but i cant figure out the best way to tackle it. Do I need to do a cursor to go through each DB name, put it into a variable, then select the job name where name like '$variable%' ?