Chapter 1 Review Exercises 47 CHAPTER 1 / REVIEW EXERCISES SECTION 1.1 Solve each problem. (See Objectives 1–4.) 1. Use the roster method to write the set: A = 5xux is a natural number between 15 and 138 6 2. Use the roster method to write the set: B = 5xux is an odd integer between -5 and 76 3. Let A = 5xux is an even integer less than 116 and B = 5xux is a whole number greater 26 . Find A B and A B. 4. Let A = 5xux is a real number greater than 1.96 and B = 5xux is a positive integer less than 6.26 . Find A B and A B. The following table shows information for the Top 10 Liberal Art Colleges. Use the information for Exercises 5–10. (Source: http://colleges.usnews.rankingsandreviews.com/ bestcolleges/liberal-arts-rankings) College 2009 Total Enrollment 2010–2011 Tuition and Fees Williams College 2067 $41,434 Amherst College 1744 $40,862 Swarthmore College 1525 $39,600 Middlebury College 2482 $52,500 Wellesley College 2324 $39,666 Bowdoin College 1777 $41,565 Pomona College 1550 $38,394 Carleton College 2009 $41,304 Davidson College 1774 $36,683 Haverford College 1190 $40,624 Let A = 5xux is a college with tuition and fees more than $40,0006 B = 5xux is a college with enrollment less than 15506 C = 5xux is a college with tuition and fees less than $40,0006 5. State the set A using the roster method. 6. State the set B using the roster method. 7. State the set B C using the roster method. 8. State the set A B using the roster method. 9. Is Haverford College ∈ A B? 10. Is Bowdoin College ∈ B C? 11. Classify the real number: 148. 12. Classify the real number: 1π. 13. Find the opposite of -12.98. 14. Find the opposite of 4 5 . 15. Simplify the expression: -P- 20 9 P . 16. Simplify the expression: -u45u. 17. Graph on a real number line: 21 1 2 . 18. Graph on a real number line: 8.25. SECTION 1.2 Simplify each expression. (See Objectives 1–4.) 19. - 3 4 + 7 8 20. - 9 14 - 5 6 21. a- 4 5 b 2 22. a- 11 9 b 2 23. -a7 3 b 3 24. -a- 5 4 b 3 25. -a1 3 ba6 7 b 2 ÷ 1 28 + 4 26. a- 1 2 ba1 6 b 2 ÷ 1 54 + 1 4 27. 18 0 28. 0 -14 29. -21 + 5 2 - (-1) 30. -9 + 4 11 - (-4) 31. 3(-2.4)2 - 1.5(3.2) 32. -2(-4.5)2 + 1.5(-6.4) 33. 6 + 113 + 3 -5u2 - 1u2 34. 9 - 127 - 2 -2u1 - 2u2 Evaluate each expression for the given values. (See Objective 5.) 35 1 2 bh for b = 8 and h = 3 4 36. 1 2 bh for b = 3 5 and h = 20 37. - 1 2 x2 + 5x - 6 for x=-4 38. - 1 4 x3 + 6x2 - 1 for x=-2 39. -b + 1b2 - 4ac 2a for a = 6, b=-7, and c=-5 40. -b - 1b2 - 4ac 2a for a = 2, b = 17, and c = 35 Solve each problem. (See Objective 6.) 41. From 1995 to 2008, the number of cell phone subscribers (in millions) in the United States can be modeled by 0.0147x 4 - 0.3337x 3 + 2.9827x 2 + 5.9939x + 34.077, where x is the number of years after 1995. According to this model, what was the number of cell phone subscribers (in millions) in 2000? (Source: http://www .infoplease.com)
hendricks_intermediate_algebra_1e_ch1_3
To see the actual publication please follow the link above