Answer:
1. Felix and Rex went to the circus in town. Compound Subject
2. They saw many clowns and ate lots of popcorn. Compound Predicate
3. Lions and tigers are ferocious animals. Compound Subject
4. The homeowner ordered new rugs and threw out her old rugs. Compound Predicate
5. I bought a new bicycle and rode it to school. Compound Predicate
6. I collected cans and brought them to the recycling center. Compound Predicate
7. Blackberries and raspberries grow by the house. Compound Subject