SOUTHERN MAINE COMMUNITY COLLEGE South Portland, Maine 04106

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1 SOUTHERN MAINE COMMUNITY COLLEGE South Portland, Maine Title: College Algebra Catalog Number: MATH140 Credits: 3 Total Contact Hours: 45 Instructor: Joyce Ann Menges Office Hrs (Preble 112): 11-noon, M&W 1-2:30pm, T&TH (the best way): jmenges@smccme.edu* Phone (not the best way): *All to me should have your name, course number and section in the subject line Fax Course Syllabus College Algebra LIVE MATH140 Course ID = menges Course Description 3 credits This course covers variables and symbols; scientific notation; logarithms and applications; roots, rational exponents and complex numbers; formulas and literal equations; polynomials, products and factors; solving linear, quadratic, and higher order equations; rational expressions; solving inequalities; graphs of linear functions and inequalities; graphs of quadratic functions; slope, intercepts, and equations of lines; solving systems of linear equations; and applied problem solving. Prerequisite: MATH 050 or its equivalent or placement test Course Objectives Upon successful completion of the course, you will be able to do the following: 1. Use the properties of real numbers to simplify and evaluate expressions. 2. Solve linear equations and inequalities. 3. Use and transform formulas and functions. 4. Graph linear equations and inequalities in one and two variables. 5. Write the three forms of the equation of a line. 6. Solve systems of linear equations by graphing, substitution, and addition. 7. Apply the laws of exponents and use scientific notation. 8. Factor and perform operations with polynomials. 9. Solve quadratic equations by three methods: factoring, completing the square, and using the Quadratic Formula. 10. Graph quadratic equations. 11. Perform operations with rational algebraic expressions, and solve rational equations. 12. Simplify and perform operations with radical expressions and rational exponents. 13. Use exponential and logarithmic functions and the properties of logarithms. 14. Solve word problems using one or more of the above skills. TROUBLES WITH My Math Lab? Be sure to go to the BROWSER CHECK on the dashboard of this MML course to check your web browser. This will ensure you have all the necessary plug ins. When all else fails, call the Product Support at

2 Course Materials (some required, some strongly recommended) Textbook Algebra for College Students, Lial, Hornsby, & McGinnis, 7 th ed., Pearson, If purchased in the SMCC bookstore, the new textbook will be packaged with a My Math Lab Access card. While purchase of the physical textbook is strongly recommended (it is a great resource for extra practice and explanations) you are not required to buy the physical book. You must however, purchase access to My Math Lab (MML) which contains electronic versions of the textbook resources along with all graded assignments except for proctored exams. Temporary Access As a stop-gap measure if your purchased access code is delayed, you may access MML temporarily during the registration process. On the screen that asks for your code or offers you a way to purchase one, look carefully at the small writing below. You will find the temporary access offer. Scientific Calculator It is preferred that you use a non-graphing, scientific calculator for all homework and exams to check your hand work. If you do not already have one, the Texas Instruments TI-30X IIS would be a good purchase; it is inexpensive and easy to use. YOU MAY NOT USE YOUR CELL PHONE AS A CALCULATOR IN THIS COURSE. Internet Access You must have a reliable internet connection and all the necessary plug-ins for the online site. Be sure to go to the BROWSER CHECK on the Dashboard of your course and check your web browser to be sure you have all the necessary free software. If you do not have your own access to the internet, there are many places on campus to access the internet. Ask more about this as needed. Course Requirements You are expected to attend all scheduled classes, do the homework assigned each day for the next class, take tests, and be active participants in the class. use My Math Lab for homework and quizzes. You are expected to be fully registered and working in the online learning platform no later than the end of the third week of the semester. be able to send and receive messages and are required to contact your instructor whenever you are absent. When questions arise while working in My Math Lab, you should notify the instructor using the Ask My Instructor button found to the right of each MML problem. keep up with scheduled assignments. Tutorial support is available online through My Math Lab; tutorial help is available through the SMCC Learning Commons; and you may arrange help from the instructor. Be sure you have accomplished the following for all sections of your course: Homework for each section. Mastery Quiz for each chapter. Take-Home exams in preparation for proctored exams.

3 Homework GRADED HOMEWORK ONLINE: At a minimum, you should complete the assigned homework for each section of your course. This may be repeated at will, to improve your score. Homework assignments are required and do support your final grade in this course. Graded Homework will count for 10% of your final grade. THE STUDY PLAN: The Study Plan is customized for you. Once you have completed at least some work in each section of a chapter, you will have recommendations for more work in the Study Plan. Where ever you see a pencil, this is an item you should practice. All items without pencils are ones you already know how to do (see the sample below). This study plan work is optional but very helpful as you build your algebra skills. Go to the Study Plan, click on View all chapters and then click on the chapter you want to find all the practice questions. TEXTBOOK PRACTICE: You might also want to practice in your textbook. There are no formal assignments from the physical textbook, but attempting every other odd problem at the end of each section will definitely improve your understanding of the skills being taught. Don t forget to check your answers to these practice problems in the back of the textbook (all the odd answers are there), or in the online solutions manual (the answers to many textbook problems are there, with the worked-out solutions). If you find the work difficult, practice MORE than what is suggested here, and always be sure to take advantage of the help available; see me (or call) during office hours and/or visit the Learning Commons. Go to the Academic Support button on My Math Lab for more support resources. NEW!!! Click on Pearson Tutoring to access a live person 24/7 through your MML course too.

4 YOUTUBE: Visit my tutoring channel on YouTube at I will be adding to this constantly throughout the term. Please feel free to subscribe so you will be notified each time a new video goes up. Chapter Mastery Quizzes There are CHAPTER MASTERY QUIZ assignments, presented online in My Math Lab, which should be completed by the announced deadlines (see the calendar later in this document.) Since these quizzes have no help or hints available and may only be attempted twice, be sure you are ready - that you have practiced enough, before you complete these. Here is an important word of advice: you should work neatly and thoroughly on paper as you complete these mastery quizzes, just in case. Expect the unexpected; working lessons online can definitely be problematic. Perhaps you will type in the wrong answer and then not be able to go back, maybe the computer will crash and all is lost (these things have happened on rare occasion); who knows what might happen considering the vagaries of technology and the internet. Your paper and pencil work gives you a record of how you arrived at your answers; you can use this work to convince me that the computer miscalculated your grade. The average of CHAPTER MASTERY QUIZ Assignments will count for 10% of your final grade. Participation Participation is critical to your success in this course. After 3 consecutive unexcused absences, a last date of attendance will be reported to Enrollment Services and you will have earned a grade of AF for the course. Pre-arrange absences whenever possible. Be sure to get notes from a fellow student or from the posted lecture notes; you are still responsible for the material presented. If you do not contact me as soon as you know you are going to miss class, or at least by the day of the missed class, it is likely that your absence will be considered unexcused. Excuses delivered on the next day of class will generally not be accepted. Additionally, three or more non-consecutive unexcused absences will definitely affect your final grade for this course. DAILY QUIZZES: My method of assessing class participation includes a variety of activities; the most significant of these participation assessments comes in the form of a brief quiz at the beginning of most class periods (5 minutes at most; I reserve the right to start class as soon as everyone is ready, regardless of what the clock says.) The quiz question will be modeled after some important idea in the previous day s lecture. These quizzes serve two purposes: (1) If you have turned in a paper for this quiz, right or wrong, you will be considered present for the day s class. If not, you will be marked absent. No exceptions. (2) Your performance on quizzes and other participation activities (up to 100 points) will count for 5% of your final grade. Unless otherwise announced, you can earn up to 5 quiz points for each quiz question completed. One (1) point for anything turned in on time. You will earn two or three (2 or 3) points for partial credit. You will earn four or five (4 or 5) points for the correct answer with work with supporting work shown. Neatness and completeness count in this last category. There will be opportunities to earn extra points throughout the semester by completing special projects and assignments. The percentage of 100 points you earn for participation will count for 5% of your final grade.

5 Exams All exams in this course have two parts; a take-home exam (25 points) and a proctored in-class exam (75 points.) You will find the take-home portion of each exam posted in the DO ASSIGNMENTS list. Remember: repeating the take-home until you can do it with a score of 100% without using your notes, is the best way to ensure that you are ready for your proctored exam. After the testing period has ended and I have graded your exams, you will find a copy of My Work, my answer key for the proctored test questions, for your review. Click on LECTURES & EXAMS to find this. Questions and discussion of answers and grading decision are invited. Don t hesitate to fight for points you feel you deserve. TRANSLATING YOUR TAKE-HOME GRADE: Your take-home exam is worth 25% of your exam grade for each quarter of your course. The chart below will help you calculate your score for the take-home portion of each exam. Score Points Earned Score Points Earned Score Points Earned Score Points Earned 100% 25 pts 75% 19 pts 50% 13 pts 25% 6 pts 95% 24 pts 70% 18 pts 45% 11 pts 20% 5 pts 90% 23 pts 65% 16 pts 40% 10 pts 15% 4 pts 85% 22 pts 60% 15 pts 35% 9 pts 10% 3 pts 80% 20 pts 55% 14 pts 30% 8 pts 5% 1 pts The average of these exams will count for 75% of your final grade. Late Assessments You MAY be able to make up a missed exam. Make arrangements quickly the time to make-up is short. Any late exam will likely be subject to a 10 point deduction. There are suggested due dates on the calendar in this document for all homework and mastery quizzes. These are meant to keep you on pace for timely completion of the course. All homework and quizzes related to a certain exam will have a final deadline posted in MML. NOTE: MML assignments may not be made up after the final deadline. Grading As is stated in the individual sections above, your final grade for this course will be based on a combination of the following assessments: Participation (5%) Exams (75%) Chapter Mastery Quizzes (10%) Homework (10%)

6 Course Grade: A A B B B C C C D D F NOTE: Regardless of all of these parameters for your grade, you must have at least a passing average grade (63%) for exams to pass this course. GRADES OF I (INCOMPLETE) : At my discretion, a temporary grade of I may be given when, due to extraordinary circumstances, you will be unable to complete all required course work by the end of the semester. This assumes you have made a persistent effort past the end of the withdrawal period and up to the point the when the circumstances occur. Assuming the above has occurred, you must meet with me to prepare the Incomplete Contract which is then signed by both of us and the Math Department Chair. You must complete the remaining course work by the mid-point of the semester following receipt of the I grade. Any grade of I that is not resolved by the middle of the next term automatically becomes an F. Cell Phones and Other Electronic Devices Cell phones and other electronic devices (including laptop computers and music players) must be turned off and stored away during class time. If you are expecting and emergency phone call, please check with me before leaving your phone on. Perhaps it goes without saying, based on the last sentence, but it bears repeating; text-messaging during class is strictly prohibited. End-of-Course Evaluation In order to gain access to final course grades, students must complete evaluations for each course attended at SMCC. Evaluations are submitted online and can be accessed through the student portal site. Students can access the course evaluation report beginning two weeks before the end of classes. The deadline for submission of evaluations occurs 24 hours after the last day of classes each semester. Instructors will announce when the online course evaluation is available. ADA Syllabus Statement Southern Maine Community College is an equal opportunity/affirmative action institution and employer. For more information, please call If you have a disabling condition and wish to request accommodations in order to have reasonable access to the programs and services offered by SMCC, you must register with the Disability Services Coordinator, Sandra Lynham, who can be reached at Further information about services for students with disabilities and the accommodation process is available upon request at this number. Course policies about online testing are modified to suit each individual s accommodations.

7 SMCC Pay-for-Print Policy Each semester students receive a $20 printing credit. The balance resets at the end of the semester and any remaining credits are removed. The cost varies depending upon page size and whether printing is done in black and white or color. There is a $0.10 per page fee for standard 8.5 by 11 black and white documents. The reverse sides of duplex (double-sided) documents are free. There is a $.50 per page fee for standard 8.5 by 11 color documents. There is a $.20 per page fee for 8.5 by 14 (legal) or 11 by 17 (tabloid) black and white documents. There is a $1.00 per page fee for 8.5 by 14 (legal) or 11 by 17 (tabloid) color documents. Duplex charges (printing on both sides of a page) work in the following fashion: One page is $0.10, two pages are $0.10, three pages are $0.20, and four pages are $0.20, etc. The flipsides are free, but another sheet of paper is $0.10. Please be aware that a document with any color at all (when printed to a color printer) will by default be printed in color. You are responsible for setting the print job to print black and white if you do not need color. For directions, please go to the IT Help tab in MySMCC. Withdrawal Policy A student may withdraw from a course only during the semester in which s/he is registered for that course. The withdrawal period is the second through twelfth week of the fall and spring semesters and the second through ninth week of twelve-week summer courses. This period is pro-rated for shorter-length courses. To withdraw from a course, a student must complete and submit the appropriate course withdrawal form, available at the Enrollment Service Center (no phone calls, please). The designation W will appear on the transcript after a student has officially withdrawn. A course withdrawal is an uncompleted course and may adversely affect financial aid eligibility. Failure to attend or ceasing to attend class does not constitute withdrawal from the course. There is no refund associated with a withdrawal. Add-Drop Policy Students who drop a course during the one-week add/drop period in the fall and spring semesters and the first three days of summer sessions receive a 100% refund of the tuition and associated fees for that course. Please note any course that meets for less than the traditional semester length, i.e., 15 weeks, has a pro-rated add/drop period. There is no refund for nonattendance. Cheating Statement Cheating is the unauthorized use of materials, information, notes, study aids, devices or communication during an academic exercise. The following are some examples of cheating: Copying from another student during an examination or allowing another to copy your work. Unauthorized collaboration on a take home assignment or examination.

8 Using illegal notes during a closed book examination. Changing a graded exam and returning it for more credit. Allowing others to research and write assigned papers, including use of commercial term paper services. Giving assistance or failing to report witnessed acts of academic misconduct/dishonesty. Fabricating data (all or in part). Submitting someone else's work as your own. Penalties for cheating range from a minimum of a failing grade on the assignment up to and may include a failing grade for the course at the discretion of the instructor. Plagiarism Statement Adherence to ethical academic standards is obligatory. Cheating is a serious offense, whether it consists of taking credit for work done by another person or doing work for which another person will receive credit. Taking and using the ideas or writings of another person without clearly and fully crediting the source is plagiarism and violates the academic code as well as the Student Code of Conduct. If it is suspected that a student in any course in which s/he is enrolled has knowingly committed such a violation, the faculty member should refer the matter to the College s Disciplinary Officer and appropriate action will be taken under the Student Code of Conduct. Sanctions may include suspension from the course and a failing grade in the course. Students have the right to appeal these actions to the Disciplinary Committee under the terms outlined in the Student Code of Conduct. Student Code of Conduct The College requires students to conduct their affairs with proper regard and mutual respect for the College and the members of its community. Any conduct that interferes with the orderly business of the College is subject to sanctions as outlined in the student manual, the SMCC Compass. Conduct that is fraudulent, conduct that disregards the welfare of the classroom, improper use of property and other conduct that interferes with the business of teaching and learning will be swiftly dealt with according to the Student Code of Conduct. See the Compass for a full explanation of this policy. See student handbook for other academic policies.

9 Required Course Topics, MATH140: Chapter 1 Review of the Real Numbers 1.1 Basic Concepts 1.2 Operations on Real Numbers 1.3 Exponents, Roots, and Order of Operations 1.4 Properties of Real Numbers Chapter 2 Linear Equations, Inequalities & Applications 2.1 Linear Equations in One Variable 2.2 Formulas and Percents 2.3 Applications of Linear Equations 2.4 Further Applications of Linear Equations 2.5 Linear Inequalities in One Variable 2.6 Set Operations and Compound Inequalities (Objectives 2 & 4 only) 2.7 Absolute Value Equations and Inequalities Chapter 3 Graphs, Linear Equations, and Functions 3.1 The Rectangular Coordinate System (Objectives 1 6 only) 3.2 The Slope of a Line 3.3 Linear Equations in Two Variables 3.4 Linear Inequalities in Two Variables 3.5 Introductions to Relations and Functions 3.6 Function Notation and Linear Functions (Objective 1 only) all sections all sections all sections Chapter 4 Systems of Linear Equations 4.1, 4.2, 4.3 (exclude 4.4) 4.1 Systems of Linear Equations in Two Variables 4.2 Systems of Linear Equations in Three Variables (Objectives 1 & 2 only) 4.3 Applications of Systems of Linear Equations (Objectives 1 3 only) Chapter 5 Exponents, Polynomials, & Polynomial Functions 5.1 Integer Exponents and Scientific Notation 5.2 Adding and Subtracting Polynomials 5.3 Polynomial Functions and Graphs (Objectives 1 & 2 only) 5.4 Multiplying Polynomials (Objectives 1 5 only) 5.5 Dividing Polynomials (Objectives 1 & 2 only) Chapter 6 Factoring 6.1 Greatest Common Factors and Factoring by Grouping 6.2 Factoring Trinomials (Objectives 1, 2, & 4 only) 6.3 Special Factoring 6.4 A General Approach to Factoring 6.5 Solving Equations by Factoring all sections all sections

10 Chapter 7 Rational Expressions and Functions 7.1 Rational Expressions and Functions; Multiplying and Dividing 7.2 Adding and Subtracting Rational Expressions 7.3 Complex Fractions 7.4 Equations with Rational Expressions and Graphs (Objectives 1 & 2 only) 7.5 Applications of Rational Expressions (Objectives 1-3, & 5 only) 7.6 Variation (Objectives 1-3 only) Chapter 8 Roots, Radicals, & Root Functions 8.1 Radical Expressions and Graphs (Objectives 1, 2, 4, & 5 only) 8.2 Rational Exponents 8.3 Simplifying Radical Expressions (Objectives 1 3 and 5 only) 8.4 Adding and Subtracting Radical Expressions 8.5 Multiplying and Dividing Radical Expressions 8.6 Solving Equations with Radicals (Omit Objective 4) 8.7 Complex Numbers Chapter 11 Inverse, Exponential, & Logarithmic Functions 11.2 Exponential Functions (Objectives 1 & 3 only) 11.3 Logarithmic Functions (Objectives 1, 2, & 3 only) all sections all sections 11.2 & 11.3 only Chapter 9 Quadratic Equations & Inequalities only (exclude 9.5) 9.1 The Square Root Property and Completing the Square 9.2 The Quadratic Formula (Objectives 2 & 3 only) 9.3 Equations Quadratic in Form 9.4 Formulas and Further Applications (Objectives 3 & 4 only) Chapter 10 Additional Graphs of Functions and Relations 10.3 More About Parabolas and Their Applications (Objectives 1, 2, 3, & 4 only; for objective 1, begin with example 3 to exclude finding the vertex by completing the square) 10.3 only Study Skills In addition to the topics noted above, the textbook does a good job discussing study skills. Look for these as follows: Ch 1 Using Your Math Textbook p xxii Reading Your Math Textbook p 46 Ch 2 Tackling Your Homework p 56 Taking Lecture Notes p 80 Using Study Cards p 102 Using Study Cards Revisited p 111 Reviewing a Chapter p 122 Ch 3 Managing Your Time p 147 Taking Math Tests p 198 Ch 4 Analyzing Your Test Results p 225 Ch 8 Prep for Your Final Exam p 482

11 Week beginning: Wk1 1/12 MATH 140 College Algebra Course Calendar Tentative Schedule My best estimate of where you should be in your lessons. Introduction, Chapter 1 You are responsible for all sections. Most of this should be a review so move on to Chapter 2 as soon as possible. Wk 2 1/19 Chapter 2, all sections are required. Ch 1 MML Assignments due Add /Drop ends 1/20 at 5pm Monday MLK Day No classes Wk 3 1/26 Finish Chapter 2; Review for 1 st exam. Ch 2 MML Assignments due Wk 4 2/2 Exam 1, Ch 1 & 2 Begin Chapter 3 as possible. Exam This Week All first quarter work must be completed by February 6th at 11:59 pm. No exceptions. Wk 5 2/9 Finish Chapter 3. Begin Chapter 4 as possible. Ch 3 MML Assignments due Early Alerts 2/10 Wk 6 2/16 Chapter 4.1, 4.2 & 4.3 only. Begin Chapter 5 Ch 4 MML Assignments due Monday President s Day No classes Wk 7 2/23 Finish Chapter 5 Review for 2 nd exam. Ch 5 MML Assignments due. Wk 8 3/2 Exam 2, Ch 3, 4, & 5 Begin Chapter 6 as possible. Exam This Week All second quarter work must be completed by March 6th at 11:59 pm. No exceptions. 3/9-3/13 SPRING BREAK!!!!! Hope you have a restful week! Wk 9 3/16 Finish Chapter 6. Ch 6 MML Assignments due Wk 10 3/23 Chapter at least. Academic Alerts Wk 11 3/30 Finish Chapter 7 Review for 3 rd exam. Ch 7 MML Assignments due Advising Week Wk 12 4/6 Exam 3 Ch 6 & 7 Begin Ch 8 as possible. Exam This Week All third quarter work must be completed by April 10th at 11:59 pm. No exceptions. Wk13 4/13 Withdrawal ends at 5pm Chapter 8, all. Ch 8 MML Assignments due Wk14 4/20 Selected topics in Chapter 11 - Section 2, Objectives 1 and 3 only, Section 3, Objectives 1-3 only Monday Patriot s Day No classes Wk15 4/27 Chapter 9 & 10, selected topics. Ch 9, 10, and 11 MML Assignments due Wk16 5/4 Exam 4 Selected sections from Ch 8, 9, 10 & 11 Exam This Week All fourth quarter work must be completed by May 6th at 11:59 pm. No exceptions. NOTE THAT THIS IS A WEDNESDAY DEADLINE!!!

12 Code Reference for Correct and Excellent Work To make the job of correcting student work a little more efficient, I have devised the following list of common comments I make on student papers (see below) with lettered headings and subheadings for your reference. The heading letters will be used as a short hand for what I want to say. For example, if you have an returned to you from me with only E1 in the reply, you will know that I have seen your correspondence but need to know more (see Section E, Subsection 1 below.) In addition, I will occasionally reference Hacker s A Writer s Reference, a book you are required to have in ENGL 100, English Composition. I would encourage you to use the Hacker reference for all your writing activities. E. Etiquette 1. The subject line of all to me should contain your course number and section (the section code is the two-digit number after the course number on your schedule), and both your first and last name. For example, MATH120-01, Jane Doe, I have a question about homework would catch my attention. Other s, no matter how important, may be tossed away unread. 2. I will respond to within one business day. Have patience. 3. Your is a piece of correspondence to me similar to a business letter. Be sure it has a salutation ( hey is not a proper salutation), body, and signature. (Hacker, C5f, p 50) 4. Address me respectfully. a. You may address me as Professor Menges or Ms. Menges. b. Likewise, I respect you and will address you in your preferred way. Unless otherwise requested, I will address you with the name you give me on the first day of class or in your first correspondence. 5. If you have a question about a particular problem or skill of mathematics, cite a page and problem number in your textbook, (or send me an ask your instructor message from MML if you are an Algebra student) as representative of your difficulty. It is very helpful to me if I can reference the exact problem you are struggling to understand. M. Mathematics 1. ANSWERS IN PROPER FORM - To receive full credit for your answers be sure to follow directions exactly. a. All answers should be expressed in simplest form. b. All answers to application problems will have proper units expressed; I cannot award all points if labels are missing. The best way to remember units is to express all word problem solutions in terms of complete sentences. c. Use common fractions (improper fractions are fine) and other exact expressions in your answers. d. If directed to do so, express decimal answers correctly rounded.

13 e. You have resorted to decimals that do not terminate or repeat and have created rounding errors. See M1c. f. Simplified fractions contain no fractions in numerators or denominators. g. Standard Form for a linear equation in two variables is ax + by = c, where a, b, and c are integers and a is positive. h. All simplified radical answers must have (1) no perfect sets under a radical sign, (2) no fractions under a radical sign, and (3) have rational denominators. 2. THIS IS AN ALGEBRA CLASS This is an algebra class. As such, all answers must be arrived at using algebraic methods. Right answers without algebra work shown will be discounted by most of the available points. 3. SHOW YOUR WORK Demonstrate enough work to convince me you understand the concepts needed to solve this problem using algebraic techniques. 4. WELL ORDERED SUBMISSIONS You will submit work that is clear and easy to read. a. All handwriting will be neat and legible. b. You will use a #2 pencil or a black, erasable pen. c. All your work for an in-class exam is on the exam itself; no scratch paper will be read. 5. OK TO HERE I can follow your work through to this line. The next line contains errors. You are awarded partial credit for your good work. 6. FOLLOW DIRECTIONS Be sure to follow directions for the requested method of solving. 7. FLAT-BAR FRACTIONS Use flat-bar fractions to clearly indicate what you mean to be in the numerator and the denominator of any fraction. For clarity s sake, if you use slanted fraction bars, enclose the quantities in either position within parentheses. 8. ABSOLUTE VALUES For all problems containing expressions within absolute value bars, you should always isolate the barred expression before you go forward to solve. Review the YouTube videos for some good examples of this skill. 9. SYSTEMS OF EQUATIONS The solution to a system of linear equations is that point or points where the lines touch. Express your final answer in one of these forms: ordered points (x, y) or (x, y, z) for independent systems none (or words that mean the same thing) for inconsistent systems many (or words that mean the same thing) for dependent systems. 10. FACTORING Factor first; factor completely. a. All factors should be prime. b. A factoring pattern (special product) is present. c. Factor before you simplify. 11. SCIENTIFIC NOTATION When a problem is given to you involving scientific notation assume the WORK should be performed using scientific notation techniques and the ANSWER must be expressed in proper scientific notation.

14 12. FOLLOW THROUGH IS GOOD There is a small misstep in your early work but your follow through is good. 13. MYSTERIOUS WORK To my eye, your mathematical work does not support your answer. Show me how it does and I will consider revising your grade for this problem. 14. MYSTERIOUS WORK 2 Your process is a mystery to me. Show me your work, step by step, in legible handwriting, to receive all credit. 15. WHAT WAS THE QUESTION? You may have done some good work on this problem but you must still actually answer the question asked. 16. MY WORK See My Work for one successful approach to this problem. I post a copy of my answer key for all manually-graded assignments in this class, after the deadline has passed. The key contains my worked-out solutions for every problem. Ask if you can t find the answer key you need. O. Other 1. FRINGE if you use spiral-bound notebooks, be sure to remove all fringe from the edge of your paper-and-pencil submissions. Repeatedly getting these from you will be annoying enough to eventually make me blind to all your good work.

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