final exam review

This is an OPTIONAL study guide to help you structure your studies for the nal exam. Material is
presented roughly in the order it was covered in class.

In addtion to the following, make sure to go over all quizes from the semester for additional practice problems.

There are several quizes directly related to the final exam. There are at least 30 points on the final over
material covered since exam 3. To get bonus points, you must rewrite each exam question or learning exercise mentioned in the order it is mentioned, along with a complete solution and an explanation as to how it relates to the material covered (i.e. what is the relevant idea behind the question?). This is in addition to stating each formula, definition, or example requested in the other items listed.

1. See exam 1 nos. 22 and 23 and the bonus questions.
2. See exam 1 no. 16.
3. Be able to find a likely function rule for a table of values like exam 1 no. 15. For picture pattern see
exam 1 nos. 17, 18. How do you justify that the picture pattern will continue?
4. What is an arithmetic sequence?
5. How do you find the 42nd entry of an arithmetic sequence? See exam 1 no. 14.
6. State Euler's Formula.
7. Give an example problem where you would use Euler's formula.
8. What is a lateral face?
9. What are the lateral faces of pyramids?
10. What are the lateral faces of right prisms?
11. See exam 1 no. 7. What is the difference between regular polygons and polygons?
12. Write out some definitions for the following and be able to draw a representative object:
(a) isosceles triangle
(b) scalene triangle
(c) right triangle
(d) obtuse triangle
(e) equilateral triangle
(f) square
(g) rectangle
(h) rhombus
(i) trapezoid
13. Exam 1 nos. 12,13. Exam 2 no. 6,20.
14. Draw the polygon tree and explain how to use it. See exam 1 no. 3,11.
15. How do metric units compare with the base ten number system?
16. How do you convert between metric units?
17. What are the major prefixes for metric units in order from smallest to largest?
18. How do you choose the most appropriate unit to meaure in?
19. What are the key ideas of measurement?
20. See exam 2 nos. 2,5,9
21. What is the formula for the area of a circle?
22. What is the formula for area of a rectangle?
23. What is the formula for the area of a triangle?
24. How do you compute surface area of a polyhedra?
25. What is the volume of a box?
26. What is the formula for the circumference of a circle ?
27. How do you find the perimeter of a two-dimensional shape in general?
28. How do you compute the volume of an object drawn on isometric dot paper?
29. See problems exam 2 nos. 1,8,18,19,22
30. What is the Pythagorean Theorem?
31. What do you use it for?
32. Give a situation where you cannot use the Pythagorean Theorem?
33. See exam 2 no. 22,and the bonus question
34. How do convert to base 10?
35. How do convert to base 4?
36. How do you add in bases other than 10?
37. See exam 2 nos. 4,21
38. What are the different views of addition?
39. Give an example word problem for each.
40. What are the different views of subtraction?
41. Give an example word problem for each.
42. See exam 2 nos. 10,11,12
43. What are the different views of multiplication?
44. Give an example word problem for each.
45. What are the different views of division?
46. Give an example word problem for each.
47. See exam 3 no. 5.
48. How do these views help when explaining fractions and signed numbers ?
49. How do you make a representation of addtion and subtraction with decimal numbers ?
50. See exam 3 no. 6.
51. What are the different ways to view fractions?
52. How do you illustrate addition, subtraction, multiplication, and division with fractions or mixed num-
bers?
53. See exam 3 nos. 15,17,18,19.
54. What are equivalent fractions ?
55. When is it useful to convert to an equivalent fraction?
56. How do you order fractions?
57. How do you order decimals?
58. How do you convert between fractions, decimals and percents ?
59. See exam 3 no. 1,3,4,16.
60. How do you estimate a percentage or fraction of something?
61. See exam 3 no. 2.
62. What are the rules for adding, subtracting, multiplying, and dividing with fractions?
63. When are ratios useful ?
64. When are proportions useful ?
65. See exam 3 nos. 20,21,22. Note that you were supposed to solve these without using a cross product
and make sure that you can.
66. How do percents relate to ratios?
67. See learning exercises for 9.3 nos. 8,9,10,11,12,etc.
68. What are two different ways to represent signed numbers?
69. Using either of the above, how do you illustrate addition, subtraction, and multiplication?
70. Read the take-away message of 10.2.
71. Read the take-away message of 10.3.
72. What are the properties of addition ?
73. What is a multiplicative inverse ?
74. See learning exercises for 10.2 nos. 1,6. See learning exercises for 10.3 no. 8.
75. What is the meaning of probabilistic statements?
76. See question 1 in section 27.3.
77. What is a tree diagram and when is it used?
78. See questions 1,2,3 in section 28.1.