Answer:
1. Chopping onions in the food processor. NS 
2. Chopping onions makes me cry. S 
3. The dog is chasing the school bus. S 
4. Laura is late one more time. S 
5. The nurse handed out the medications by 9 P.M. S 
6. Return any books that have torn or stained pages. S 
7. Chairman Holmes called the meeting to order. S 
8. Since she was the oldest woman in the nursing home. NS 
9. to complete the research by March 15. NS 
10. Because the teller ran out of $10 bills. NS
Step-by-step explanation:
A complete sentence is one that completes a thought or expression. In other words, a complete sentence is one that can be taken as a full sentence and needs no addition to it to be completed. 
A phrase or dependent clause is one that is incomplete and cannot be taken as a complete sentence. Moreover, it is dependent on other clauses to complete a thought.
The given sentences and phrases are identified as follows-
1. Chopping onions in the food processor. NS 
2. Chopping onions makes me cry. S 
3. The dog is chasing the school bus. S 
4. Is Laura is late one more time. S 
5. The nurse handed out the medications by 9 P.M. S 
6. Return any books that have torn or stained pages. S 
7. Chairman Holmes called the meeting to order. S 
8. Since she was the oldest woman in the nursing home. NS 
9. to complete the research by March 15. NS 
10. Because the teller ran out of $10 bills. NS