By P. M. Cohn
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Extra info for Algebra. Volume 1. Second Edition
5 billion 65. 8% (a) What percent of the total expenses was the amount spent on Social Security? (b) The total of the 2005 expenses was $2,472,200,000,000. Find the amount spent for each category in the circle graph. ) 60. 5%. The total number of people in the study is 12,857. How many people have the health risk? 61. 2%. There are 3445 patients in the trial. How many patients show a decrease in tumor size? 62. Calculator Keystrokes Write the algebraic expression that corresponds to each set of keystrokes.
Take this quiz as you would take a quiz in class. After you are done, check your work against the answers given in the back of the book. In Exercises 1 and 2, place the correct symbol ͧ <, >, or ͨ؍between the two real numbers. Խ ԽԽϪ7Խ 2. Ϫ ͑Ϫ3͒ Ϫ3 Խ Խ 1. Ϫ Ϫ7 In Exercises 3 and 4, use inequality notation to describe the subset of real numbers. 3. x is positive or x is equal to zero. 4. The apartment occupancy rate r will be at least 95% during the coming year. ©GI PhotoStock/RF/Alamy When occupancy rates are not maximized, renters can sometimes negotiate for a lower rent.
A0 ϭ 1, 32 и 34 ϭ 32ϩ4 ϭ 36 1 y4 yϪ4 ϭ a Definition of negative exponent ͑x2 ϩ 1͒0 ϭ 1 0 ba , Power of a Power 32 n a 0, b 0 Խ Խ ԽԽ Ϫ3 ϭ 23 Definition of zero exponent 3 Խ22Խ ϭ Խ2Խ2 ϭ 22 9. a2 ϭ a 2 ϭ a2 Notice that these properties of exponents apply for all integers m and n, not just positive integers. For instance, by the uQotient of Powers Property, 34 ϭ 34Ϫ ͑Ϫ5͒ ϭ 34ϩ5 ϭ 39. 3Ϫ5 D I S C O V E RY Using your calculator, find the values of 103, 102, 101, 100, 10Ϫ1, and 10Ϫ2. What do you observe?
Algebra. Volume 1. Second Edition by P. M. Cohn