review1 - MAC1140, Precalculus Algebra, Summer B 2007...

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MAC1140, Precalculus Algebra, Summer B 2007 Review Problems for Exam 1 1. Which of the following numbers are a) natural numbers, b) integers, c) rational numbers d) irrational numbers and e) real numbers? { 2 + 1 . 2 , - 7 , 0 , 3 · π , - 7 9 , 14 } . 2. Which of the following statements are always true? Justify your answer! (a) | x | = | - x | (b) | x + y | = | x | + | y | (c) x 2 = x (d) | x | is a positive number. 3. (a) The population of China exceeds 1 , 250 , 000 , 000 people. Express this number using scientific notation! (b) The average hair has a thickness of 6 × 10 - 5 meters. Express this number as a decimal. 4. Simplify and express your answer using only positive exponents: (a) (2 a 2 b - 1 ) - 1 (4 ab - 2 ) 2 (b) ± 2 xy - 1 3 - 1 x 2 y ² - 2 5. A rectangular swimming pool is 24 feet long and 10 feet wide. What is the length of its diagonal, i.e. what is the length of the longest straight distance you can swim in that pool? 6. Is the triangle with side lengths 7
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review1 - MAC1140, Precalculus Algebra, Summer B 2007...

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