With only a week in the Algarve which are the best attractions to see.
We have hired a car so can travel.
A trip to Lagos is worthwhile, the Monchique Mountains, Silves a lovely old church and some nice authentic restaurants. Or a ride into Spain where things are quite cheaper than on the Algarve, Loule is a pretty place also. If you have children there are a couple of water parks and try the freshly cooked sardines in Portimao.
I agree with all sugestions from "Developer". You could also visit Alvor, it's a nice small town with nice beaches.
You also have Zoomarine, a park with dolphins and other atractions.
Hope you don't feel more confuse now...