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Test 4 Results :

Test 4 Results : If you got less than 70% on Test 4, make sure to go over your test with me or a TA sometime this week. (This material will also be covered again on the final exam.) Average class score after partial credit: __________ Commonly missed questions : #_________________.

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Test 4 Results :

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  1. Test 4 Results: If you got less than 70% on Test 4, make sure to go over your test with me or a TA sometime this week. (This material will also be covered again on the final exam.) Average class score after partial credit: __________ Commonly missed questions: #_________________

  2. Now please CLOSE YOUR LAPTOPS and turn off and put away your cell phones.

  3. 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.

  4. 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.

  5. Final Exam Review Materials: 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 at the start of the next class session.. 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 second to last 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.

  6. 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.

  7. 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.

  8. 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: 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.

  9. Final Exam Review, Unit 1

  10. Unit 1covers the material from Test 1:Chapter 1 (Real numbers)Chapter 2 (Linear equations/ inequalities)Chapter 3 (Graphs, functions, domains/ranges, lines/slopes/intercepts)

  11. Sets of numbers: • Natural (counting) numbers: N = {1, 2, 3, 4, 5, 6 . . .} • Whole numbers: W = {0, 1, 2, 3, 4 . . .} • Integers: Z = {. . . -3, -2, -1, 0, 1, 2, 3 . . .}

  12. More Sets of numbers: • Rational numbers: the set (Q) of all numbers that can be expressed as a quotient of integers, with denominator  0 • Irrational numbers: the set (I) of all numbers that can NOT be expressed as a quotient of integers • Real numbers: the set (R) of all rational and irrational numbers combined NOTE: Q is asubsetof R I is asubsetof R but Q and I have NO members in common

  13. Commutative property • of addition: a + b = b + a • of multiplication: a· b = b· a • Associative property • of addition: (a + b) + c = a + (b + c) • of multiplication: (a· b) · c = a· (b· c) • Distributive property of multiplication over addition • a(b + c) = ab + ac

  14. Applications of Linear Equations: Sections 2.2 and 2.3 contained many types of word problems. You should review these two homework assignments using the online Gradebook sometime before your final (in addition to the review homework problems for this unit.)

  15. Caution: Don’t forget that if both sides of an inequality are multiplied or divided by a negative number, the direction of the inequality sign MUST BE REVERSED.

  16. Example: (divide both sides by -4 and simplify) Graph of solution ( ,) -7(x – 2) - x < 4(5 – x) + 12 -7x + 14 - x < 20 - 4x + 12(use distributive property) - 8x + 14 < - 4x + 32(simplify both sides) - 8x + 4x + 14 < - 4x + 4x + 32(add 4x to both sides) - 4x + 14 < 32(simplify both sides) - 4x – 14 + 14 < 32 - 14(subtract 14 from both sides) - 4x < 18(simplify both sides)

  17. Highlights from Chapter 3: Slope of a line Informally, slope is the tilt of a line. It is the ratio of vertical change to horizontal change, or

  18. Slope-intercept form of a line • y = mx + b has a slope of m and has a y-intercept of (0, b). • This form is useful for graphing, since you have a point and the slope readily visible.

  19. Example y = x – 2 (divide both sides by –6) Find the slope and y-intercept of the line 2x – 6y = 12. • First, we need to solve the linear equation for y. -6y = -2x + 12 (subtract 2x from both sides) • Since the equation is now in the form of y = mx + b, slope is 1/3 • y-intercept is (0,-2)

  20. The slope-intercept form uses, specifically, the y-intercept in the equation. Thepoint-slope form allows you to use ANY point, together with the slope, to form the equation of the line. m is the slope (x1, y1) is a point on the line

  21. Example Find an equation of a line with slope –2, through the point (-11,-12). Write the final equation in slope-intercept form. (Note: it’s always a good idea to graph the line first.) First, substitute the slope and point into the point-slope form of an equation: y – (-12) = -2(x – (-11)) y + 12 = -2x – 22 (use distributive property) y = -2x - 34 (subtract 12 from both sides) So the slope is -2, and the y-intercept is -34.

  22. Any questions on the Unit 1 Review Homework from those who have started it already? • If no further questions, you may open your laptops and work on this assignment from now till the end of class. • Remember, this assignment is due at the start of next session, ANDyou need to score at least 80% on this to get access to the next one.

  23. 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: 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.

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