What is the preposition(s) in the sentence, after a long day by the beach we went over to the ice cream shop.

It's to know your purpose before you read something because a purpose can:

In the story “seventh grade” how do victor’s hopes and expectations about teresa at the beginning of the school day compare with his hopes and expectations about teresa at the end of the school day?

[1] when the twins grew up, they continued to fight. [2] one day they decided to hold a contest to determine who was stronger. [3] though they tried to defeat each other in many different ways, neither one could win. [4] on the last day, they fought with weapons. [5] using a deer antler, the right-handed twin overpowered his brother, and he threw him off the edge of the earth. [6] today, the right-handed twin lives in the sky-world, and the left-handed twin lives in the dark underworld. [7] they rule the earthly world of men together.