Question 7 with 1 blankEs importante que ustedes (limpiar) la casa. Question 8 with 1 blankSu tía les manda que (poner) la mesa.
Question 9 with 1 blankTe aconsejo que no (salir) con él. Question 10 with 1 blankMi tío insiste en que mi prima (hacer) la cama. Question 11 with 1 blankPrefiero (ir) al cine. Question 12 with 1 blankEs necesario (estudiar). Question 13 with 1 blankRecomiendo que ustedes (pasar) la aspiradora.
Explanation: Just to elaborate a little on the answer, it can be added that in this exercise they are asking you to complete the sentence with the right form of the verb in brackets. The mood that you must use is the subjunctive, which refers to information or actions that are more a possibility than a fact: "It is important that <em>you clean</em> the house," "I advise you <em>to not go out</em> with him," and so on.