1. The article
written by Tina moved us--adjective phrase
---> Yep. The phrase "written by Tina" modifies "article".
2. Tessa drew the map
on the board--adverb phrase
---> Yep.
3. Missy taught me basic knowledge
about painting-adjective ph
---> That's right. The phrase "about painting" modifies "knowledge", answering the question, "What kind of knowledge?"
4. The foreign guest responds
through the interpreter-adverb ph
---> That's right.
5. Dancing has become part
of their lives-noun ph
---> No. Try again.
6. The father
of Filipino Language is Manuel L. Quezon.-adj ph
---> That's exactly right, except it should be "of the Filipino language".
7. The CPU holds
the brain of the computer.noun ph
---> That's right.
8.
THe power of computers is truly amazing.noun ph
---> Right again.
9. Mrs. Santos appointed her
assistant to the president.noun ph
---> Yes.
10. My children
who are all studious will take the exams tomorrow.adj
---> Yep. (Modifies "children".)
11. The car
in the garage is new. adj ph
---> Right again.
12. The women were cooking
for the homeless children.noun ph
---> No, that's not right.
13. The fruits
which are all ripe and fresh are on the table.adj ph
---> That's right.
14. The principal appointed Mrs. Santos
head teacher of the school.noun ph
---> Yes!
15. Rice has become
our staple food noun ph
---> Yes!
16. The poem
is very good.adj ph
---> Yes, but I don't see how a verb ("is") can be part of an adjectival phrase. (Perhaps your teacher will explain that, eh?)
Let me know what score we got.