Make 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 Final Exam Review Materials 2 Comprehensive Practice Final NOTE 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 Wing Regular 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 Thursday 5 12 Friday 5 13 Monday 5 16 Tuesday 5 17 10 00 a m 4 00 p m 8 00 a m 6 00 p m 8 00 a m 6 00 p m 8 00 a m 6 00 p m 8 00 a m 2 00 p m Now please CLOSE YOUR LAPTOPS and turn off and put away your cell phones Final Exam Review Unit 2 Unit 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 Section 4 1 Review Example 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 Example cont 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 Second equation 4x 5y 9 4 1 5 1 9 true true The solution of the system is 1 1 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 two squares sum of two cubes or difference of two cubes b If there are three terms is the trinomial a perfect square trinomial If the trinomial is not a perfect square trinomial try factoring by the British factoring by grouping method c If there are four or more terms try factoring by grouping 3 Check to see if any factors with more than one term in the factored polynomial can be factored further If so factor completely Example Factor x3 5x2 4x 20 HOW MANY TERMS What does that tell you CHECK FIRST Is there a common factor in all terms ANSWER No but you should ALWAYS check for this first Solution x3 5x2 4x 20 x3 5x2 4x 20 x2 x 5 4 x 5 x 5 x2 4 x 5 x 2 x 2 Group the terms with common factors Factor from each group Factor out the common binomial factor x 5 Factor completely by factoring x2 4 as the difference of two squares Example of factoring a trinomial using the …