No you cant get a uai with nine units not can u complete the hsc. Extension one maths is one unit so your classes would be:
Adv eng- 2u
maths-2u
etx math-1u
history-2u
buis studies-2u
photog-1u
eco-2u
so thats 12 units. why would u need to drop ancient or b studies? without photog u will...