So this question means do you want to go to the party with me? In this way, quieres is the conjugation of the verb querer (to want) that matches the second person singular in the simple present. On the other hand, ir is a verb that means to go and fiesta is a noun that translates into party. Finally, a dialogue might be as follows:
¿Quieres ir a la fiesta conmigo?
Sí, quiero ir a la fiesta contigo
This sentence means I'm sorry, I'm busy. We use the adjective ocupado if the person is a man because this is a masculine singular adjective and use ocupada if the person is a woman because this is a feminine singular adjective. On the other hand, estoy is the conjugation of the verb estar for the first person singular in the simple present.
This question translates into do you like to study with me? So te is the indirect object pronoun that matches the second person singular. An Indirect Object Pronoun is a person that receives the action of a verb indirectly. Its purpose is to tell you to whom or for whom something is done. So this action is being performed for you. Finally, a dialogue might be:
¿Te gustaría estudiar conmigo?
Sí, me gustaría estudiar contigo
We can translate I have to work as tengo que trabajar, thus after the word que always comes an infinitive verb (a verb that ends in ar, er or ir). Recall that an infinitive verb is the most basic form of Spanish verbs. On the other hand, este fin de semana means this weekend. Finally:
I have to work this weekend translates into tengo que trabajar este fin de semana.
