We must answer the questions using some of the grammar points we learned in Chapter 8, particularly ‘～と思います（おもいます）.’

This question is asking us what we think about (‘について’) Japanese class. We will say that we think it is interesting and fun, and we will answer as follows:
日本語のクラスはおもしろくて、楽しいと思います。
（日本語のクラスはおもしろくて、たのしいとおもいます。）

We must answer the questions using some of the grammar points we learned in Chapter 8, particularly ‘～と思います（おもいます）.’

This question is asking us what our Japanese professor likes to do. We will say that we think she likes to cook, and we will answer as follows:
日本語の先生は料理するのが好きだと思います。
（日本語の先生は料理するのがすきだとおもいます。）

We must answer the questions using some of the grammar points we learned in Chapter 8, particularly ‘～と思います（おもいます）.’

This question is asking us if it will rain tomorrow. We will answer by saying that, yes, we think it will rain tomorrow because it rained today, and we will answer as follows:
はい、明日、雨が降ると思います。今日、降りましたから。
（はい、あした，あめがふるとおもいます。今日、ふりますから。）

We must answer the questions using some of the grammar points we learned in Chapter 8, particularly ‘～と思います（おもいます）.’

Because ‘料理（りょうり）’ is a noun on its own, we did not need to include ‘するのが’ to express that someone is or isn’t good at cooking. Rather, we can simply mark it with ‘が,’ and the implication remains the same.

This question is asking us if our friend is good at cooking. We will answer that we do not think our friend is good at cooking. We will answer as follows.
いいえ、私の友達は料理が上手じゃないと思います。
（いいえ、私のともだちはりょうりが上手じゃないとおもいます。）