I really need your help in identifying these plants. Attached are the pictures of the plants with their corresponding leaves. Thank you very much for your time.
5/6 is Hibiscus, probably H. rosa-sinensis 7/8 is Ipomoea spp - Bindweed or Morning Glory 9/10 is Agave spp.
I don't agree with morning glory for that. The plant in the photo looks woody and grows straight up, morning glory - here at least - always twines and would grow a tangled pile, not an upright shrub.
Yes, but in Vancouver, it's an annual. There's nothing to stop it forming into woody viney bushes in the Philippines, and I've actually observed it doing this in Ecuador. Unless you pull it out, it persists and gets thicker.
It's not an annual in Vancouver, but a perennial if I understand correctly. I'd buy that it's the same family as shown here, but cannot quite grasp that it might be the same family member.