DEVM F105 Intermediate Algebra DEVM F105 UY2*2779*

DEVM F105 Intermediate Algebra DEVM F105 UY2*2779*

page iii Table of Contents CDE Welcome-----------------------------------------------------------------------v Introduction -------------------------------------------------------------------------xiii Assignment Outline--------------------------------------------------------------- xix Lesson Page 1------------------------------------------------------- 1 2------------------------------------------------------- 3 3 ------------------------------------------------------ 5 4------------------------------------------------------- 9 5------------------------------------------------------- 11 Practice Exam 1----------------------------------- 13 Request for Exam 1 6------------------------------------------------------- 21 7 ------------------------------------------------------ 23 8------------------------------------------------------- 25 Practice Exam 2----------------------------------- 27 Request for Exam 2 9 ------------------------------------------------------ 35 10----------------------------------------------------- 37 11------------------------------------------------------ 39 12 ----------------------------------------------------- 41 13----------------------------------------------------- 43 Practice Final--------------------------------------- 47 Request for Final Answers: for Practice Exam 1------------------------------------------------- 59 for Practice Exam 2------------------------------------------------- 65 for Practice Final --------------------------------------------------- 71

page xiii Introduction The purpose of this course is to help you to prepare for freshman-level college mathematics courses. It is absolutely essential that you have a very good working knowledge of elementary algebra, especially the factorization of polynomials, the rules for integer exponents, and the addition, subtraction, multiplication, and division of algebraic rational expressions (algebraic fractions). If you do not have this knowledge, then you should not take this course. You should be taking DEVM 060, instead. It is very likely that those students who earned a C grade or worse in elementary algebra or took an insufficiently rigorous elementary algebra course will find this course extremely challenging, if not overwhelming. A scientific calculator is required for several sections of this course. Course Text Johnston, Willis & Lazaris, Intermediate Algebra, 6th Edition, Wadsworth Publishing Company, 1995. Course Organization The course covers most of SIX chapters of the text in thirteen lessons. Since the chapters vary in length, each chapter will be covered by two or three lessons. You have a total of 13 lessons to complete and mail to the Center for Distance Education. These lessons are in this booklet and are summarized on the Assignment Outline on page xi. To complete the course, you must submit all 13 lessons for grading, you must take the first two examinations, and you must pass the COMPRE- HENSIVE final exam. Using the Text The text and certain portions of this booklet hold the material content of this course. This booklet also contains supplementary material, which can help you over the rough spots. Read this booklet along with the text and READ THE TEXT!!! It is obvious to the instructor when you do not read the text and it conveys a strong negative impression. If you do not know how to read, then learn how before attempting this course. It is ludicrous to believe you can be successful in any correspondence course if you cannot read well. As you read through the text, do so with paper and pencil at hand. Work through the example problems given in the text. Be sure you understand how and why every step is being done.

page xiv At the end of each section in every chapter of the text, there are two sets of exercises. DO THE SET I EXERCISES for practice. The answers to all of these problems are in the back of the text. The odd-numbered of these are worked out in detail. Doing these problems will help you to understand the material better, provide additional reinforcement of the concepts presented, clarify details about which you may be confused, answer questions that might otherwise arise, improve your grades on the submitted lessons, and help you to get to sleep at night. Only a fool would not take advantage of such an obviously beneficial experience. Since you can and should check your own answers to these problems, do not mail them to the instructor. If, however, you have specific questions about any of these, your instructor will gladly attempt to answer them. In general, if you do not understand something AFTER reading the text and working the Set I Exercise Problems (and checking your answers), write to your instructor or ask some other knowledgeable person for help. When you ask for help, try to be as specific as possible. General statements such as, I don t understand how to do this, are counterproductive. If you cannot understand the detailed explanation of the text, how can you expect the person trying to help you to explain the material, without some idea of what or where the difficulty is? Therefore, when seeking help, AL- WAYS have some work you have done on the problem(s) in question to show to the person helping you. Also, the author s experience is that many questions arise because the student has failed to learn earlier material sufficiently well and/or does not frequently review earlier material in a consistent manner. Mathematics is a language. If you do not use it, it is quickly forgotten. As you read through the text, you will notice quite a number of Review Exercises and Diagnostic Tests. You are encouraged to do all of them, except the Set II Review Exercises, which do not have the answers in the back of the text. Again, check your answers with those given in the text and do not mail these to your instructor. Submitting Lessons Each submitted (mailed) lesson must be accompanied by a LESSON COVER SHEET. These have been provided, along with prepaid, pre-addressed envelopes. The top portion of each LESSON COVER SHEET should be filled out legibly and carefully, except, of course, for the lesson grade. If a LESSON COVER SHEET does not accompany each lesson, it is likely that it will take longer for your lesson to reach your instructor, which, of course, means that it will take longer to get back to you. On page xi of this booklet, you will find the Assignment Outline. This summarizes the sections of each chapter which must be read and the problems to be done for each submitted lesson. Special instructions are also given. You will find that this booklet is broken up into lessons. Each lesson covers from two to four sections of the text. The exact sections are specified by each lesson. There is additional required information in each lesson of this booklet. You may not know how to do some of the required problems if you do not read through each lesson. At the end of each lesson, you will find the LESSON PROBLEMS which are to be neatly worked out on separate sheets of paper and mailed in with the required number of LESSON COVER SHEETS. The LESSON PROBLEMS are very similar to the problems in the Set I Exercises in the text. In most cases, you will need additional sheets of paper in order to NEATLY show your work for each

page xv problem. You must NEATLY show your work on the examinations for all problems that require more than two steps to solve. You are also strongly urged to also show your work on the submitted lessons. If your answer is incorrect and the grader cannot see how you arrived at it, you will lose all the points that problem is worth, i. e., no partial credit will be given. If you do not show your work, the grader cannot help you see where you are making your error, so you will not even have the benefit of learning from your mistakes. Partial credit will be given for problems with incorrect answers when the work is clearly and neatly shown and it is obvious that the student understands what she/he is doing. After you have completed all of the LESSON PROBLEMS for the lesson called for, place a completed COVER SHEET on top, place everything in a prepaid, pre-addressed envelope, and mail them. All grades earned on the LESSON PROBLEMS are final. Examination and Grading Procedures Approximately seventy percent of the questions on the final cover Chapters 11 & 12, which correspond to lessons 9 13; approximately thirty percent is review material from the first two examinations. You must earn a passing grade (a D or better) on the final in order to pass the course. If you fail the final, you may request another (it will not be the same one you previously failed). This option is not available to semester-based students. If you do not pass the second final, you will receive an F for the course, regardless of what your grades were on previous work. The average of the two grades earned on the two finals will be the grade of record for the final exam. Semester-based students must complete and submit all required work, including all three examinations, by the semester deadline. Under no other circumstances may anyone take any exam again just to improve their grade. A practice exam for each exam has been included in this booklet. These practice exams are similar to the actual examinations you will take. The practice exams are not to be mailed in. The answers to the problems on the practice exams are worked out in detail in the back of this booklet. When you are ready to take an examination if you live in the Fairbanks area, come to the CDE office to take your exam. If you live outside this areas you must complete a Course Examination Request Form (including your proctor s signature) and mail it to the Center for Distance Education. The Course Examination Request Forms are included in this booklet at the proper point of study. Do not request an examination until you have submitted all the lessons up to that point. Examinations will not be sent to residential addresses. You will NOT be permitted to use notes, books, workbook, and/or second-person assistance under any circumstances on any examination. The use of any of these during an examination will result in immediate course failure. You will need the use of a scientific calculator on the exams.

page xvi Instructor Contact Jim Massa can be reached by mail or fax through the CDE office. He can also be reached by phone at 474-2793 or by email at jmassa@alaska.edu Your grade for this course will be computed in the following manner: 25% for LESSON PROBLEMS 20% exam 1, 25% exam 2, and 30% final, if passed. Your Grade The grading scale for this course is: 90-100 A 80-89 B 70-79 C 60-69 D Suppose a student received the following grades for course work: An average of 92% on LESSON PROBLEMS, Exam 1-94%, Exam 2-89%, and Final - 78%. This is how the grade for the course would be calculated: 0.25(92) + 0.2(94) + 0.25(89) + 0.3(78) = 87.45. This student would have earned a B for the course. Keep up a good, steady pace, review constantly, and good luck. In order to pass a course, all lessons and exams must be completed and submitted for grading. An exam will not be graded until all lessons prior to that exam have been completed and submitted for grading. Do not request an examination until you have submitted all of the lessons preceding it for grading. Examinations are used for evaluative purposes only; they are not intended to be part of the learning process. Therefore, your corrected exams will not be returned to you. You will receive notification of your grade and instructor s comments. You may request in writing the opportunity to view a corrected exam in the presence of a qualified proctor. Call or write the Center for Distance Education & Independent Learning for more information. You may not take notes on, photographs of, or make copies of any corrected exam.

page xvii Year-based Grades Since the student has the option of extending an extra six months, no temporary INCOMPLETE grades will be issued. Any student who has not completed one-half of the course (including exams) at the end of the one year period, will receive a Permanent INCOMPLETE (to receive credit in the future, the student must re-enroll & pay appropriate fees). If at least 50% of the coursework has been handed in, and the student submits the extension request and appropriate fee, an extension of six months will be granted. At the end of the six months, if the course has not been completed and the student has not requested a reinstatment, a Permanent IN- COMPLETE (to receive credit in the future, the student must re-enroll & pay appropriate fees) will be issued. If at least 75% of the coursework has been handed in, and the student submits the reinstatement request and appropriate fee, a reinstatement of three months will be granted. At the end of the three months, if the course still is not complete, a Permanent INCOMPLETE (to receive credit in the future, the student must re-enroll & pay appropriate fees) will be issued. Semester-based Grades If less than the entire course (including exams) has been submitted by the work completion date for that semester, a Permanent INCOMPLETE (to receive credit in the future, the student must re-enroll & pay appropriate fees) will be issued. No temporary INCOMPLETE grades will be issued unless 1) two-thirds of the course (first 8 lessons and first 2 exams) has been submitted with a passing grade by the end of the work completion date, and 2) student has had an emergency situation arise that has prevented the student from finishing the course. If a temporary INCOMPLETE is given, the instructor reserves the right to decide how long the student will be given to complete the course (up to one year). This will be decided on an individual basis. If the course has not been completed by the date specified by the instructor, a Permanent IN- COMPLETE (to receive credit in the future, the student must re-enroll & pay appropriate fees) will be issued. Semester-students Please follow standard University guidelines at the Records office. If you have any questions regarding your courses, or if you need counseling in the selection of another course, we will be pleased to assist you on the telephone or in writing. If you need to talk with your instructor, let us know and we will try to arrange a time when the two of you can have a telephone conversation. By the ninth Friday after the first day of instruction for the semester, the student must have completed two-thirds of the course work (first 8 lessons and first 2 exams) or face the possibily of getting

page xviii an Instructor's withdrawal. All lessons and first two exams should be completed one full week before the final completion date and the final exam must be completed by the completion date. Please note that this may affect your ability to obtain financial aid for the following semester. Because there are so many factors beyond our control, no guarantees will be given that you will be able to meet any particular deadline on time. In fact, you can automatically assume that any deadline that requires you to complete one of the above courses in less than three and a half months will definitely NOT be met. Contact the instructor immediately if you have any questions about this policy.

page xix Assignment Outline Lesson 1: Sections 7.1 to 7.5, pages 320-339. EXERCISES 7.1 (324) Set II 1-9, 11-22, 24, 26. 7.2 (326-27) Set II 2, 4, 5, 8, 10, 13, 15, 17, 19, 21, 22, 24, 25, 27, 29, 31, 33, 35. 7.3 (332) Set II 2, 4, 6-11, 14, 15, 17, 19, 20, 22, 24-27. 7.4 (337) Set II 2, 3, 6-9, 11-15, 18, 20, 22, 23, 25, 27. 7.5 (339) Set II 2, 3, 6, 8, 11, 13, 14, 16. Instructions: Submit Lesson 1. Lesson 2: Sections 7.6 to 7.9, pages 339-352. EXERCISES 7.6 (343) Set II 3, 5, 7, 8, 9, 13, 14,16, 17, 19, 22, 23, 25, 28, 29, 31, 34, 38. 7.7 (346-47) Set II 3, 6, 8, 9, 11-14, 17, 20, 22, 24, 26, 28, 30, 32, 34, 39. 7.8 (350-51) Set II 2, 3, 6, 8, 11, 14, 15, 17-21, 23, 24, 27. 7.9 (352) Set II 2, 6, 10, 11, 15. Instructions: Submit Lesson 2. Lesson 3: Sections 7.10 to 7.15, pages 357-378. EXERCISES 7.10 (362-63) Set II 2, 5, 6, 8, 10, 12, 16, 21, 23, 26, 29. 7.11 (368) Set II 2, 3, 5, 6, 7, 11, 13. 7.12 (371) Set II 1-9, 11, 12, 13, 18, 19, 20. 7.13 (373) Set II 2, 4, 9, 10, 11, 13. 7.14 (376) Set II 1, 3, 6, 7, 10, 11, 15, 16, 17, 20, 22, 24, 26, 30, 35, 37. 7.15 (378) Set II 1, 2, 3, 6-10, 12, 13, 15, 17. Instructions: Submit Lesson 3.

page xx Lesson 4: Sections 8.1 to 8.4, pages 386-417. EXERCISES 8.1 (391) Set II, 1-5, 7, 9, 11, 12. 8.2 (401) Set II, 2, 3, 4, 6, 8, 10, 12, 13, 16, 17, 18, 20-24, 26, 27, 28, 30, 32, 33, 35. 8.3 (408) Set II, 1-5, 7, 8, 9, 11, 12, 13. 8.4 (416-17) Set II, 2-6, 8-12, 14, 16-21, 23, 25, 28, 29, 32, 33, 36, 38, 39, 40, 42. Instructions: Submit Lesson 4. Lesson 5: Sections 3.2 to 3.4 and 8.5, pages 106-129, 417-422. EXERCISES 3.2 (115) Set II 1, 3, 5, 7, 12, 13, 20, 23-26. 3.3 (122) Set II 3, 5, 7, 8, 12, 13, 16, 20, 22, 24, 26. 3.4 (130) Set II 2-6, 11, 12, 13, 16-20, 22, 25, 32-35, 40, 41, 45. 8.5 (422) Set II 2, 6, 7, 9, 14, 15, 17. Instructions: Submit Lesson 5. EXAM ONE: Complete the exam request form or, if you live in Fairbanks, call the Center for Distance Education & Independent Learning to schedule an exam. Lesson 6: Sections 9.1 to 9.2, pages 436-449 and Sections 9.5-9.9, pages 456-481. EXERCISES 9.1 (443) Set II 1, 4, 6, 8, 9. 9.2 (449) Set II 1, 2, 3, 5, 7, 10, 11, 14, 20, 21, 26. 9.5 (461) Set II 1, 4, 5, 7, 11. 9.6 (468) Set II 2, 6, 7, 9, 12, 13. 9.7 (474) Set II 1, 2, 3, 5, 6, 9, 11, 12. 9.8 (478) Set II 1, 3, 5, 7, 9, 10. 9.9 (481) Set II 1, 4, 6, 7, 8, 10. Instructions: Submit Lesson 6. Lesson 7: Sections 10.1 to 10.4, pages 492-508. EXERCISES 10.1 (498) Set II 1-4. 10.2 (500) Set II 1-6, 8, 10, 11, 13-18, 20, 22, 23, 24. 10.3 (502) Set II 1-4, 7-11, 13, 14, 16-21, 23-26, 28, 29. 10.4 (507) Set II 1, 3, 6, 8, 9, 11, 13, 15, 17, 21-25, 27, 30. Instructions: Submit Lesson 7.

page xxi Lesson 8: Sections 10.5 to 10.7, pages 508-522. EXERCISES 10.5 (513) Set II 1, 2, 5-16. 10.6 (518) Set II 1, 2, 3, 6, 7, 10, 12, 14, 15, 16, 18, 20, 24, 25, 27, 28. 10.7 (522) Set II 1-5, 7, 8. Instructions: Submit Lesson 8. EXAM TWO: Complete the exam request form or if you live in Fairbanks, call the Center for Distance Education & Independent Learning to schedule an exam. Lesson 9: Sections 11.1 to 11.3, pages 532-550. EXERCISES 11.1 (537) Set II 2, 3, 5, 9, 11, 18, 33, 39. 11.2 (540) Set II 2, 3, 9, 11, 14, 16, 18, 20, 21, 23. 11.3 (549-50) Set II 1, 6, 7, 11, 13, 15, 16, 31, 33. Instructions: Submit Lesson 9. Lesson 10: Sections 11.4 and 11.5, pages 550-554, 559-569. EXERCISES 11.4 (554) Set II 3, 6, 7-11, 14, 15, 17, 20, 21, 23, 25, 26. 11.5 (569) Set II 1, 4, 9, 11, 17, 20, 27, 30. Instructions: Submit Lesson 10. Lesson 1v1: Sections 11.7 and 11.8, pages 577-590. EXERCISES 11.7 (586) Set II 1, 2, 4, 6, 8, 9, 10, 12, 16, 18, 19, 24-26. 11.8 (590) Set II 1, 5, 7. Instructions: Submit Lesson 11.

page xxii Lesson 12: Sections 12.1, 12.3 to 12.5, pages 598-600, 605-619. EXERCISES 12.1 (600) Set II 1, 3. 12.3 (611) Set II 1, 2, 4, 8, 9, 10, 12-16. 12.4 (615) Set II 1, 2, 3, 5, 7, 9. 12.5 (618) Set II 1, 3, 5, 7, 10. Instructions: Submit Lesson 12. Lesson 13: Sections 12.7 to 12.11, pages 631-654. EXERCISES 12.7 (635) Set II 3-6, 8, 10-13, 15, 17, 19. 12.8 Use Cramer s Rule to solve each of the following problems: EXERCISES 12.3 (611) Set II 2, 4-7, 9. 12.4 (615) Set II 13. 12.5 (618) Set II 8. 12.6 (630) Set II 2, 5-7. 12.9 (644) Set II 1, 3, 7, 8, 9, 11, 14, 15, 18, 20. 12.10 (650) Set II 2-6, 9, 10. 12.11 (654) Set II 1, 3, 4, 7, 8. Instructions: Submit Lesson 13. FINAL EXAM: Complete the exam request form or if you live in Fairbanks, call the Center for Distance Education & Independent Learning to schedule an exam.