Exam (elaborations) TEST BANK FOR COLLEGE ALGEBRA, SECOND EDITION BERNARD KOLMAN & ARNOLD SHAPIRO by Michael L. Levitan

Exam (elaborations) TEST BANK FOR COLLEGE ALGEBRA, SECOND EDITION BERNARD KOLMAN & ARNOLD SHAPIRO by Michael L. Levitan TEST BANK FOR COLLEGE ALGEBRA, SECOND EDITION BERNARD KOLMAN & ARNOLD SHAPIRO by Michael L. Levitan Villanova University Academic Press, Inc. (Harcourt Brace Jovanovich, Publishers) Orlando San Diego San Francisco New York London Toronto Montreal Sydney Tokyo Säo Paulo CHAPTER TEST lA 1. Write explicitly the elements of the set of all integers n such that -5.1 n 0.3. 2. On the real number line, draw the graph of the set of real numbers x such that -5.1 x 0.3. In Problems 3-6 evaluate the given expression. 6 - (-4)I - 1-6+41 3. |6| - |4| t - 4|s ri—; when s = -2 and t = -1. 4 - 82 - 5(2 + (-1) 2) 1- + - 9 5 _L _ i 15 9 In Problems 7 and 8 perform the indicated operations and simplify. 7. -2(4-2/ - 3x + 5z) - 2{2x - z+ 4) 8. (4z - 3Àà + 1) (w - 2z + 5) In Problems 9 and 10 factor completely using only integer coefficients. m 4 10. a: 2/ - -3,z2/* -Ë 4/ i-- 7 +2 zy- +^ 14 j In Problems 11-14 simplify. 11. 2x + Sx - 3 12. 13. 14. -x - 2x + 3 -x2 + a: + 2 Ë?2 - 7x + 12 x2 + 2x - 15 4a; - 1 x 2x + 5 2 - a; 3x 5__ X - 2 x + 1 1 + 15. Write the following as the ratio of two polynomials: (X - 1) 1 + 1 - 3 X + X 1 4. 5. 6. 9. -3x2 + 4x + 32 CHAPTER TEST 1A In Problems 16 and 17 simplify, 16. (.64) "k/Z / i " 3 / 2 17 * U) 18. Rationalize the denominator: /6 - JÏ 19. Perform the indicated operation and write your answer using only positive exponents: x Wx3 + Jx 20. Simplify and combine: 3(23 A ) - 2 7 Ë + 2 l l A In Problems 21-23 write the expression in the form a + bi. 21. (i + 3)(4 - i) 22. (2 - i) 3 23. 1 ^ 4 4 - % 2 CHAPTER TEST IB 1. Write explicitly the elements of the set of all natural numbers n such that 1.4 n 3.8. 2. On the real number line, draw the graph of the set of real numbers x such that 1.4 x 3.8. 12. 13. 14. z - 2 4 + 3x 15. Write the following as the ratio of two polynomials: ^ 3 „ -l 2x - 3x -2 x +1 3 In Problems 3-6 evaluate the given expression. 3. 4. 5. 6. when s= -3 and t = 5 6 - 4 -r (2 + 2 · 3) In Problems 7 and 8 perform the indicated operations and simplify. 7. (x + 9x2 + 5x3 - 4) - 2(4 + Sx - 9y) 8. (-3W - 1){-2W + 1) In Problems 9 and 10 factor completely using only integer coefficients. 9. 2x2 - 3x - 9 10. 4x2yz3 + 3yz3x - yz3 In Problems 11-14 simplify. 11. _9_ j4 10 "" 7 1 1 îï+ 5 CHAPTER TEST IB In Problems 16 and 17 simplify. -k/5 16. 17. 18. (32) ' (àf Rationalize the denominator: x2 -_ y x + Jy 19. Perform the indicated operations and write your answer using only positive exponents: /2x 1/3 X + X ^1/5 ^6/5 0ll/5 20. Simplify and combine: 3l/5 + 36/- _ 3. In Problems 21-2 3 write the expression in the form a + bi. 21. (4 - 2i) (6 - i) 22. (2i + 3 ) 3 23. i^ii ^ - 6 4 CHAPTER TEST IC 1. Write explicitly the elements of the set of all integers n such that n 4.1 and n 7.5. 2. On the real number line, draw the graph of the set of real numbers x satisfying x 4.1 and x 7.5. In Problems 3-6 evaluate the given expression. 3. |5 - 2| - 3 1-2 + 6| 4# L_izJ when x = 2 and y = -1 12/1 5. 9 + 4(32 - 5) 1 1 i - i In Problems 7 and 8 perform the indicated operations and simplify. 7. 2(3xy + U - 5) + 3(7 - xi/ + t) 8. (x2 + 2a: + 3) (x - 1) In Problems 9 and 10 factor completely using only integer coefficients. In Problems 11-14 simplify. 11. 12. 13. 14. _-x __+_A 2 x + x - 6 a2 + 2ab + b2 . 2a2 - ab - b2 2x 4x + 1 r + T~ x - 1 x + 1 ""»T 1 x - 1 i --i£L_ a2 - fc2 2a2 + 3a£ + b2 15. Write the following as the ratio of two polynomials: 2 c -3 1 x - Sx + — 5 9. 10. ÷4 - 6x2 + 5 3(33 + 6) - z2(z + 2) 5 CHAPTER TEST IC In Problems 16 and 17 simplify. - &Ã 17. (8)-*/3 18. Rationalize the denominator: -4 v/5"- 2 19. Perform the indicated operation and write your answer using only positive exponents : a; + 1 ) ix + x) 20. Simplify and combine: -2/32 - /ÏS + /5Ö In Problems 21-2 3 write the expression in the form a + hi. 21. (4 - li) (2 + i) 23. ± ^ l 2 + % 6 22. (2i - 3) 3 CHAPTER TEST ID 1. Write explicitly the elements