Semicolons may be used to separate two related, independent clauses. In this case, the first clause is subordinate (the major clue for this being "if"), so the semicolon is erronenous. The best way to correct the underlined portion above is:

Semicolons may be used to separate two related, independent clauses; however, they must be used alone, and without any accompanying conjunction. In order for this sentence to be correct, either the semicolon must be changed to a comma, or the coordinating conjunction "for" needs to be deleted. The only correct answer option chooses the latter.

Semicolons may be used to separate two related, independent clauses, but they must be used alone, and without any accompanying conjunction. In the example sentence, a semicolon correctly signals the end of one independent clause and the beginning of another, but it incorrectly places a coordinating conjunction after this semicolon, and is thus incorrect. The correct option simply deletes "but."

The example sentence commits a simple error of semicolon placement. Semicolons, when used to connect two independent clauses into one compound sentence, must come at the end of the first independent clause and beginning of the next. Semicolons should never be placed in the middle of a clause. The corrected version of the sentence reads, "I'm having a really bad day; I need to go home and get some rest."

Note also that semicolons should never precede coordinating conjunctions.

The example sentence makes a simple error of semicolon placement. Since they are used to join two independent clauses into a compound sentence, semicolons need to be placed at the end of the first independent clause and at the beginning of the second. The example sentence needs to have the semicolon moved so that it comes at the end of a complete independent clause, after the word "here."

Note also that coordinating conjunctions should not follow semicolons used in this fashion.

Semicolons may be used to separate two related, independent clauses, but  they must be used alone, and without any accompanying conjunction. The best way to correct the underlined portion above is, "There's a lot of great television to watch right now; there's always more to read."

In the example sentence "Although I enjoy your company" is acting as a dependent, introductory clause. We know it cannot be an independent clause because it begins with the coordinating conjunction "although." Semicolons should never be used to connect a dependent clause to a main clause. The only correct option corrects the sentence by simply replacing the semicolon with a comma.

Semicolons may be used to separate two related, independent clauses; however, they must be used alone, and without any accompanying conjunction, and the clauses must be independent of each other. In this sentence, the coordinating conjunction "and" incorrectly follows the semicolon. The portion of the sentence that needs to be corrected in the sentence above is, "student; and," and this selection can be corrected by replacing the semicolon with a comma.

The first clause of this sentence, "whenever I eat doughnuts" is clearly a dependent clause. It is always incorrect to punctuate a dependent clause with a semicolon. In this case, the semicolon should be replaced with a comma.

Semicolons may be used to separate two related, independent clauses (a comma with an appropriate coordinating conjunction will also do the trick). In this sentence, the subordinate conjunction "while" tells us that the first clause is dependent, and thus cannot be concluded with a semicolon. The portion of the sentence that needs to be corrected in the sentence above is, "person;" and it can be corrected simply by replacing the semicolon with a comma.