Chesapeake College. Syllabus. MAT 031 Elementary Algebra (silcox87517) John H. Silcox

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1 Chesapeake College Syllabus MAT 031 Elementary Algebra (silcox87517) John H. Silcox Phone (W) Phone (H)

2 Syllabus For MAT 031 I. OFFICE HOURS: One hour before each scheduled class start time. II. COURSE DESCRIPTION: This course acts as an introduction to algebra. Topics included are properties of whole numbers, integers and rational numbers, equation solving, polynomials, factoring and linear graphing. Three hours per week - 3 load hours - 0 credits. PREREQUISITE: MAT 023 or appropriate score on the placement test. III. TEXTBOOK: Foundations of Mathematics by Marvin L. Bittinger and Judith A. Penna. Addison Wesley ISBN # IV. INTRODUCTION: This course is approximately equivalent to the first year of high school algebra and is the second of three sequential courses in algebra taught at Chesapeake College in preparation for college level mathematics courses. It is assumed by the instructor that students are well prepared and motivated to tackle the rigors of this course. Very limited time will be spent in review of prior course work. All students must complete MAT031 prior to beginning college level courses in mathematics. Students must also complete MAT032 in order to gain entry to other mathematics courses. In addition to the lectures, the average student should plan to spend up to six hours outside of class each week (2 hours for every hour spent in class). Students whose background in mathematics is not strong or those who normally work at a slower than average pace, should schedule more time in order to keep up with the course material. NOTE: College policy prohibits young children from accompanying parents to class. Please keep your cell phone turned OFF. V. GRADES: This course consists of chapters #7 - #9 and parts of #10, #12 and #13in the assigned textbook. The following syllabus outlines in detail the material that will be presented from each of the chapters, and the intended order of presentation. The numerical final course grade will be 2

3 computed as indicated in the following distribution, and letter grades will be assigned as follows: Components of Final Grade Letter Grade In-Class Activities 5% A : 90% - 100% Homework 5% B : 80% - 89 % Quiz/Test Average 65% C : 70% - 79% Final Examination 25% F : less than 70% VI. ATTENDANCE: Students whose attendance is sporadic do not do well because of the nature of the course, especially in the accelerated format. In addition, since in-class activities constitute 5% of the student's final grade, (one-half of a letter grade); it is to the benefit of each student to be present at every class session. Most students need guidance in understanding procedures involved in developing a new mathematical process. If you find yourself unable to keep up with the class, make an appointment immediately to see the instructor outside of class time. It is the student's responsibility to make up any work missed due to an absence for any reason. VII. TESTING: Dates for tests are indicated on the last page of this syllabus. Students should make every effort to be present for class on those days, but should it be absolutely necessary to miss a scheduled test, the student should contact the instructor as early as possible to make other arrangements for testing. A separate make-up test will be given only for an extreme emergency, only when the instructor is notified prior to test day, and will be scheduled at the instructor's convenience. If you are absent prior to a scheduled test, you will still be expected to take the test at the scheduled time and are expected to contact a fellow student or the instructor in advance to obtain the information required to prepare for the test. 3

4 COURSE OUTLINE CHAPTER TOPIC COVERED PAGES 1 6 Moving to Elementary Algebra (Discussion of basic prerequisite material) Seven Solving Equations & Inequalities Eight Graphs of Linear Equations Nine Polynomials: Operations Ten Polynomials: Beginning Factoring ( ) Twelve Graphs, Functions & Applications (12.4 5) Thirteen Systems of Equations ( , 13.7) Although you will be tested on the subject matter of each chapter, tests for specific sections may be combined so as to maximize course effectiveness. The above outline may be modified slightly as necessary to accommodate student needs. A brief description of the Objectives for each chapter and the Homework Assignments are detailed on the following pages. Homework Assignments will be due on the day scheduled for the chapter test and will include those sections covered in the previous class lectures. Late homework will be accepted only for halfcredit and may be returned ungraded. It is expected that each student will be able to solve ALL of the exercise problems in each section covered, even though only about 33% of the exercise problems are specifically assigned. The answers to the odd numbered problems are given in the back of the textbook. 4

5 Moving to the Intermediate Algebra Level: CHAPTER OBJECTIVES In order to comfortably succeed in MAT 031 you will need to be proficient in the following skills. If you need to brush up on any of these skills please ask for help immediately! Basic arithmetic (largely without the use of a calculator) Adding, subtracting, multiplying, dividing fractions Basic geometry After completing each chapter the student should be able to accomplish the following: Chapter Seven Solving Linear Equations and Inequalities a) Solve an equation using the addition multiplication principle b) Solve equations using both principles c) Solve equations with no solution, or infinite solutions d) Evaluate a formula e) Solve a formula for a specified letter f) Solve applied problems by translating to an equation g) Solve inequalities by using the addition and multiplicative principles h) Solve and graph solution set for a given inequality i) Solve applied problems using inequalities Homework: (Read ; pp ) Sec , 22, 23, 32, 35, 41, 46, 49, 63, 73 pp Sec , 16, 19, 24, 31, 41, 49, 53, 58, 61 pp Sec , 12, 15, 27, 41, 45, 50, 54, 59, 75, 85, 102 pp Sec , 5, 9, 12, 16, 24, 27, 31, 36, 39, 46, 56, 59 pp Sec , 6, 11, 20, 27, 35, 40, 43, 51, 51, 67 pp Sec , 6, 7, 12, 19, 22, 25,33 pp Sec , 11, 18, 25, 36, 48, 55, 60, 77, 82, 83, 101 pp Sec , 7, 14, 18, 21, 25, 33, 43, 46 pp

6 Chapter Eight Graphs of Linear Equations You will need graph paper for this chapter a) Solve applied problems involving graphs. b) Graph linear equations. c) Find x and y intercepts and graph using intercepts. d) Graph equations of the form x = a and y = b. e) Given the coordinates of two points, find the slope of the line. f) Find the slope of a line from an equation. must be written out and all work must be shown Homework: (Read ; pp ) Sec , 3, 8, 10, 11, 15, 21, (even), 43, 57, 61 pp Sec , 6, 10, 14, 17, 21, 23, 27, 33, 37, 41, 47 pp Sec , 6, 11, 13, 17, 27, 28, 35, 38, 39, 43, 45, 51, 54, 71 pp Sec , 6, 8, 10, 13, 16, 18,20, 22, 27, 34, 38, 44, 52 pp Chapter Nine Polynomials: Operations a) Evaluate algebraic expressions containing exponents. b) Simplify expressions using various exponent rules. c) Write expressions without negative exponents. d) Express numbers in scientific notation and reverse. e) Collect like terms of a polynomial. f) Identify the degree of a polynomial and classify the polynomial. g) Add and subtract polynomials. 1. Multiply and divide polynomials Homework: (Read ; pp ) Sec , 12, 23, 29, 32, 35, 42, 43, 49, 57, 64, 68, 73, 77, 89, 96,103 pp

7 Sec , 8, 15, 19, 35, 42, 47, 50, 53, 58, 64, 69, 71, 75, 77, 87, 91,105, 110 pp Sec , 12, 14, 18, 57, 62, 67, 72, 77, 80, 84, 97, 98, 113 pp Sec , 11, 14, 19, 24, 33, 37, 40, 42,46, 52, 62, 83 pp Sec , 11, 15, 22, 29, 37, 42, 54, 58, 68, 84, 87 pp Sec , 10, 23, 30, 39, 58, 62, 72, 79, 83, 97, 105 pp Sec , 9, 12, 27, 34, 40, 48, 70, 92, 97 pp Sec , 13, 23, 30, 32, 36, 40, 49, 56, 66 pp Chapter Ten Polynomials: Factoring a) Factor monomials b) Factoring out the greatest common factor c) Factor trinomials by FOIL d) Factor trinomials by the AC method Homework: (Read ; pp ) Sec , 14, 21, 26, 33, 41, 44, 46 pp Sec , 6, 13, 25, 30, 41, 44, 49, 55, 62 pp Sec by 5's pp Sec by 6's pp Chapter Twelve Graphs, Functions, and Applications a) Draw the graph of a function. b) Given an equation, derive the slope-intercept form and determine the slope and y-intercept. c) Graph two equations, to determine whether they are parallel or perpendicular. Homework: (Read 12.4; pp ) Sec , 15, 20, 31, 46, 52, 71, 75 pp Sec by 3's, 46, 52 pp

8 Chapter Thirteen Systems of Equations a) Determine if an ordered pair is a solution of a system of equations b) Solve a system of equations by graphing, by substitution and/or by addition. c) Identify systems of equations that have no solution or an infinite number of solutions. d) Classify a system of equations as either consistent or inconsistent and either dependent or independent. e) Use a system of equations to solve application problems. f) Solve a system of equations in three variables. g) Solve supply and demand problems, and break even application problems. Homework: (Read ; pp , 13.7; pp ) Sec , 8, 12, 18, 23, 25 pp Sec , 6, 12, 17, 20, 22, 29 pp Sec , 8, 11, 15, 20, 21, 26, 30, 31, 46 pp Sec , 5, 10, 20, 27, 29, 46 pp Sec , 7, 11, 12, 17 pp

9 REVIEW FOR FINAL EXAMINATION The Final Examination for this course consists of approximately fifty computational problems. The problems are similar to those that you have worked to complete each chapter. One way to review all of the material from this course is to work the Summary and Review Exercises located at the end of each chapter. These highlights review the major definitions and concepts of the chapter, and an example of each concept is presented. If you have any difficulties you should review that section of the chapter more thoroughly. If you have any questions please get them answered before the scheduled final exam date. We will have review session(s) prior to the exam where more detailed information will be available. The following is a partial list of the tasks that may be included on the Final Examination. 1. Combine like terms in a given expression 2. Solve equations, linear inequalities, literal equations and absolute value equation and inequalities 3. Evaluate expressions containing positive and/or negative exponents 4. Add and subtract monomials, binomials and trinomials 5. Multiply monomials, binomials and trinomials 6. Divide monomials and divide by binomials 7. Given sufficient information write the equation of a straight line 8. Given two points, find the slope of the line containing them 9. Solve systems of equations by various methods 10. Graph equations and inequalities 11. Solve systems of equations by graphing, substitution and / or addition. 12. Solve all types of application problems. G O O D L UC K!! - S T UD Y H A R D!! 9