Premise:
"things that don't cost too much but you get your money's worth"
Hypothesis: You can get your money's worth when checking travel websites for things that don't cost too much.

it is not possible to tell

Premise:
"As Athens rose in influence and power in the West, it was matched in the East by the rise of the Persian Empire."
Hypothesis: Athens is located in the Far East.

no

Premise:
"Today, agencies increasingly rely on designbuild, construction management, and program management contracting methods."
Hypothesis: Today, agencies have ceased to rely on construction management.
no