The correct verb to describe the process of people leaving their country is "emigrated," which means to have left one's own country to live in another, usually out of necessity. The verb "immigrate" means to permanently relocate to a foreign country. One might emigrate from Ireland, and immigrate to America. In this case, "emigrated" is the correct choice because the focus is on the Irish citizens moving from Ireland, rather than to a specific destination.

"Apart" is an adverb. "A part" is a noun, and, more importantly, the appropriate noun to use in this instance. "Apart" is usually used in the "apart from" construction, which is not relevant to this sentence.

In this context, "depends" is conventionally followed by "on," not "to." In this case the little sister "depends on Grace," so she should be "grateful to" her.

This question is testing the idiom "familiar with," which means that "familiar to" is incorrect. An idiom is just a conventional way of saying something. Unfortuately, idioms do not follow distinct rules so they must just be memorized. A corrected sentence would look like this: In order to do well on the SAT, it helps for one to be familiar with the format of the test and with one's own testing tendencies.

This question tests knowledge of the idiom "celebrated for." This idiom indicates the reasons why someone is celebrated—in Maya Angelou's case, her writing. "Celebrated by," on the other hand, is used to explain who celebrates someone, which is not specifically discussed in this sentence. 

A sample sentence using "celebrated by":

"The court decision was celebrated by many activists."

A sample sentence using "celebrated for": 

"The late Maya Angelou is celebrated for her poems, novels, and collections of essays; her work has been and continues to be inspirational to many."

Although "unequivocal" appears to indicate the younger sibling expects an unequal or uneven split, that's not what "unequivocal" means. "Unequivocal" means to be unclear about something.

In English something is "compared to" something, not "compared next to something. Accordingly, the error lies in the usage of "with." While there are some idioms that do use a "alongside" construction, comparisons are made "to" other things.

The issue here is the use of the word "disseminate." To disseminate is to spread something -typically information- on a large scale. The sentence calls for the word "discriminate" instead, which means to recognize a distinction between two entities. Because the boss judges younger and older applicants differently, she discriminates between them.

This sentence is incorrect because it contains a double negative ("doesn't bring me no satisfaction"), a construction English does not use. There are multiple ways the sentence could be corrected, but the only one offered would be to change "no" to a positive modifier: "dancing doesn't bring me any satisfaction," for example. The sentence could also be corrected by eliminating "doesn't" so that it simply reads, "dancing brings me no satisfaction."

Although it is a purely idiomatic phrase, the correction to the sentence here should be "familiar with." No matter the topic, one becomes familiar with something, not familiar on it.