Should I use my last job that I was terminated from as work experience on my application?

When you give them your Social Security number they are going to find out where you have worked so far and almost everything else about you including credit. Most applications have worked from and to under each job worked so there is no way you are going to keep any info from any prospective employers. Even though you were terminated it is likely that you gained some sort of business skills from that job. Good luck