A trip (n.) is the act of going to another place (often for a short period of time) and returning.
We took a five-day trip to the Amazon.
You're back from vacation! How was your trip?
I went on business trips to Switzerland and Germany last month.
Use the verbs "take" and "go on" with trip. Always use trip (not travel) after a and the, and after possessives like my, your, our, their, his, and her:
I bought this hat on my last travel trip to Europe.
She got really sick on the travel trip to the island.
Our travel trip to Disneyland was very memorable.
A round-trip ticket is a ticket for going and coming back; and a one-way ticket is only for going.
The verb travel means going to another place (in general).
I really like to travel.
He travels frequently for work.
My sister is currently traveling through South America.
Travel (n.) can be used to describe the act of traveling in general:
Travel in that region of the country is dangerous.