By Raymond Barnett, Michael Ziegler, Karl Byleen

The Barnett, Ziegler, Byleen "College Algebra" sequence is designed to be consumer pleasant and to maximise pupil comprehension. The aim of this sequence is to stress computational talents, rules, and challenge fixing instead of mathematical thought. the massive variety of pedagogical units hired during this textual content will advisor a scholar during the direction. built-in in the course of the textual content, the scholars and teachers will locate Explore-Discuss containers which inspire scholars to imagine seriously approximately mathematically strategies. In each one part, the labored examples are by way of matched difficulties that strengthen the idea that being taught. furthermore, the textual content comprises an abundance of workouts and purposes that might persuade scholars that math turns out to be useful.

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**Example text**

A) 6 12x (B) 10x3 24x 3 ANSWERS (C) 1x ϩ 2 21x ϩ 3 (D) 1 3 1Ϫ 2 y TO MATCHED PROBLEMS 5 9 9 5 1. (A) 2 u (B) 2 (6x2y5)2 or (2 6x2y5)2 (C) 1 ր 2 (3xy)3 4ր7 3 3 1ր3 (E) Ϫ(2x) (F) (x ϩ y ) 3 2 3 2 2. (A) u2 ϩ v2 (B) 213 (C) (2 x ) ր2 or 12 2 x 3. (A) 3x2yz 12xz (B) 3a2b2b2 ϭ 3a2b1b (C) 22x2y 5 3 2 3 2 4. (A) 8 12 (B) Ϫ522x y (C) 32mn ϩ 41mn 5. (A) 3 12 Ϫ 413 (B) 213 Ϫ 5 (C) y ϩ 21y Ϫ 8 4 3 2 3 (D) x ϩ 2 xyϪ 2 xy2 Ϫ y 312x 3 6. (A) (B) 5x2 2 2x2 x R-3 In Problems 1–8, change to radical form. Do not simplify.

100 Ϭ 0 16. 0 Ϭ 0 17. 0 Ϭ (9 ؒ 8) 18. 19. 0 ؒ a100 ϩ 1 b 100 4 6 Ϭ a3 Ϫ b 7 2 20. 3(0 ϩ 5) Ϭ 204 Ϫ1 11 bar67388_chR_001-013 12 11/02/06 00:50 CHAPTER R Page 12 BASIC ALGEBRAIC OPERATIONS In Problems 21–26, perform the indicated operations and express the result in the form a͞b, where a and b are integers. 4 12 21. ϩ 9 5 23. Ϫa 4 1 ϩ b 100 25 3 Ϫ1 25. a b ϩ 2Ϫ1 8 17 2 22. ؒ 8 7 50. Indicate which of the following are true: (A) All integers are natural numbers. (B) All rational numbers are real numbers.

2 Ϫ8 3 16. 2 Ϫ27 17. Ϫ1128 18. Ϫ 1125 19. 127 Ϫ 5 13 20. 218 ϩ 118 3 3 3 21. 2 5Ϫ 2 25 ϩ 2 625 3 3 22. 220 ϩ 2 40 Ϫ 2 5 3 3 23. 2 25 2 10 24. 16114 25. 29x8y4 26. 216m4y8 4 27. 216m4n8 5 28. 232a15b10 4 29. 2 m2 10 6 30. ͙ n 5 3 31. 2 1 xy 4 32. 2 15x 3 3 33. 29x2 29x 34. 12x18xy In Problems 35–46, rationalize denominators, and write in simplified form. 35. 38. 1 215 10 25 4 36. 1 317 37. 39. 2 144 40. 41. 6x 13x 42. 44. 4 16 Ϫ 2 45. 12y 2 16y 12 16 ϩ 2 1 17 3 3 254 3 43. 2 12 Ϫ 1 46. 12 110 Ϫ 2 In Problems 47–54, write in simplified form.