1. The fact of the power failure had the effect of causing many problems. (Wordy)

becomes

The power failure caused many problems. (Concise)

(Note how the removal of the phrase, the fact of, focuses immediate attention on the noun, power failure, while the contraction of had the effect of causing to caused, gives immediacy and clarity.)

2. This is the kind of response the government wanted. (Wordy)

becomes

This kind of response the government wanted. (Concise)

(Note by eliminating the verb, is, the writer has been able to create a strong emphasis on what it was that the government wanted.)

3. The organization of small business can be described in a brief statement. (Wordy)

becomes

Small business organizations can be briefly described. (Concise)

(Notice the phrase the organisation of small business is tightened up by the use of business as an adjective; note the phrase, in a brief statement, has been reduced to one word, briefly).

4. The purposes of the programs and goals were to ensure that students understood the role of a carer in regard to people with disabilities. (Wordy)

becomes

The program’s purposes ensured that students understood the carer’s role towards people with disabilities. (Concise)

(Notice the elimination of goals which carries a similar meaning to purposes; note the double use of the apostrophe’s' in place of the phrase, of the; notice the substitution of one word, towards, for in regard to, to achieve accuracy.)

5. This experiment was conducted for the purpose of identifying the difficulties second-language learners have in carrying out teacher instructions. (Wordy)

becomes

This experiment was conducted for identifying the difficulties second- language learners have in understanding teacher instructions. (Concise)

(Notice how the phrase, for the purpose of, was contracted to the one word, {for}, thus making the statement direct, and how in carrying out was replaced by the more accurate expression, {in understanding}.)

6. This is the resolution that was suggested last week. (Wordy)

becomes

This is the resolution suggested last week. (Concise)

(In the above example wordiness has been avoided by the contraction of the adjectival clause, that was suggested last week, to just the participle, suggested. The statement is now concise.)

7. Hitler, at times, conducted himself in an irrational manner towards his generals. (Wordy)

becomes

Hitler, at times, acted irrationally towards his generals. (Concise)

(Note, often wordiness in a sentence can be corrected/avoided through reducing an adverbial phrase to a single adverb. Here, in an irrational manner is contracted to irrationally. Note also, that the wordiness is further reduced by the substitution of acted for conducted himself.