Make sure you know the day and time of the final exam for this section of Math 110: Day: ______ Date:______ Time: ______ to _______Math 110 Final Exam:Final Exam Review Materials:Slide 4Slide 5Math TLC Open Lab Hours:Slide 7Final Exam Review, Unit 2Unit 2 Covers: Section 4.1 (Systems of linear equations in 2 variables) Chapter 5 (Properties of exponents, operations on polynomials, factoring polynomials, solving polynomial equations) Section 8.2 (Quadratic formula)Slide 10Slide 11Slide 12Slide 13Slide 14Ch, 5 Review: Strategy for Factoring a Polynomial:ExampleExample of factoring a trinomial using the “British” methodExample: Two TermsTwo terms that are cubes:Solving Polynomial EquationsSlide 21(Solution continued)Review Homework:Slide 24Slide 25Make sure you know the day and time of the final exam for this section of Math 110:Day: ______ Date:______Time: ______ to _______•All Math 110 finals will be given in your regular classroom.•Final exam schedules for all sections are posted on the bulletin board and in your course syllabus.Math 110 Final Exam:•Comprehensive – covers the whole semester•Worth 200 points (20% of course grade)•47 questions•Test period is one hour and 50 minutes•Practice Final is worth 10 points and also has 47 questions and unlimited tries.•Your best score on the practice final will also earn up to 20 extra credit points on the final.•The practice final is due at the scheduled start time of this section’s final exam.•IMPORTANT NOTE!!! To get access to the practice final, you must have submitted all four final exam review homework assignments and have scored at least 80% on each one.Final Exam Review Materials:1. Four review homework assignments: These are each worth 15 points, vs. the usual homework assignment of 4 points.• Unit 1 review homework (Chapters 1, 2, 3). Due today.• Unit 2 review homework (Chapters 4, 5, 8): NOTE: You must get at least 80% on the Unit 1 Review before you can start the Unit 2 review. Due at the start of the next class session.• Unit 3 review homework (Chapter 6): NOTE: You must get at least 80% on the Unit 2 Review before you can start the Unit 3 review. Due at the start of the last class session.•Unit 4 review homework (Chapter 7): NOTE: You must get at least 80% on the Unit 3 Review before you can start the Unit 4 review. Check with your teacher for due date and time.Final Exam Review Materials:2. Comprehensive Practice FinalNOTE: You must get at least 80% on the Unit 4 Review Homework before you can start the comprehensive practice final.•The practice final has 47 questions, as does the regular final exam. The questions will NOT be exactly the same as those on the regular final, but they will be similar in content and are distributed across sections the same way as on the regular final. •Each time you take the practice final you will get a different set of questions, AND your highest score will earn you that percentage of 20 extra credit points on the final, so it will pay off if you can find the time to take it more than once.Comprehensive Practice Final:Once you finish the Unit 4 Final Review homework with at least an 80% score, you will have access to the practice final, with as many attempts as you want.The practice final is worth 10 points, plus a possible bonus of up to 20 extra credit points on the final exam. Your best percentage score on the practice final will earn that percent of 10 points toward your course grade, plus that best score percent times 20 extra credit points will be added on to your final exam point score before partial credit points are added.This makes it extremely important for you to make sure you work to get at least 80% on each of the four final exam review homework assignments so that you can get access to the practice final.Math TLC Open Lab Hours:Room 203 Jarvis Hall Science WingRegular hours through last day of classes (next Tuesday, May 10):Monday–Thursday: 8:00 a.m. - 6:30 p.m.Study Day and finals week:Wednesday, 5/11: 10:00 a.m. - 4:00 p.m.Thursday, 5/12: 8:00 a.m. - 6:00 p.m.Friday, 5/13: 8:00 a.m. - 6:00 p.m.Monday, 5/16: 8:00 a.m. - 6:00 p.m.Tuesday, 5/17: 8:00 a.m. - 2:00 p.m.Now pleaseCLOSE YOUR LAPTOPSand turn off and put away your cell phones.Final Exam Review, Unit 2Unit 2 Covers:Section 4.1 (Systems of linear equations in 2 variables)Chapter 5 (Properties of exponents, operations on polynomials, factoring polynomials, solving polynomial equations)Section 8.2(Quadratic formula)Solve the following system of equations using the elimination method.6x – 3y = -3 and 4x + 5y = -9•Multiply both sides of the first equation by 5 and the second equation by 3.First equation,5(6x – 3y) = 5(-3) 30x – 15y = -15 (use the distributive property)Second equation,3(4x + 5y) = 3(-9) 12x + 15y = -27 (use the distributive property)ExampleSection 4.1 Review:•Combine the two resulting equations (eliminating the variable y). 30x – 15y = -15 12x + 15y = -27 42x = -42 x = -1 (divide both sides by 42)Example (cont.)•Substitute the value for x into one of the original equations. 6x – 3y = -3 6(-1) – 3y = -3 (replace the x value in the first equation) -6 – 3y = -3 (simplify the left side) -3y = -3 + 6 = 3 (add 6 to both sides and simplify) y = -1 (divide both sides by -3)•Our computations have produced the point (-1,-1).Example (cont.)•IMPORTANT: Check the point in the original equations.First equation, 6x – 3y = -3 6(-1) – 3(-1) = -3 trueSecond equation, 4x + 5y = -94(-1) + 5(-1) = -9 true•The solution of the system is (-1, -1).Example (cont.)Use of the elimination method to combine two equations might lead you to results like . . .•5 = 5 (which is always true, thus indicating that there are infinitely many solutions, since the two equations represent the same line), or•0 = 6 (which is never true, thus indicating that there are no solutions, since the two equations represent parallel lines).Remember, if there are infinitely many solutions, the solution set is {(x,y) | (write in one of the two equations)}Ch, 5 Review: Strategy for Factoring a Polynomial:1. Always look first to see if there is a common factor. If so, factor out the GCF.2. Determine the number of terms in the polynomial and try factoring as follows:a) If there are two terms, can the binomial be factored by one of the special formulas including difference of