Download List of Topics for Midterm Exam

ALGEBRA 2 – 1st SEMESTER TOPICS
Unit 1
1. classifying real numbers
2. evaluating algebraic expressions
3. solving Alg 1-type equations
4. using ratios to set up Alg 1-type equations
5. solving Alg 1-type inequalities
6. compound inequalities
7. interval notation
8. absolute value equations
9. double absolute value equations
10. absolute value inequalities
11. double absolute value inequalities
Unit 2
12. relations/functions as sets of ordered pairs
13. vertical line test
14. finding domain and range given sets of ordered
pairs or graphs of points
15. evaluating a function
16. graphing a line
17. finding intercepts of lines
18. writing equations of lines
19. perpendicular & parallel
20. horizontal & vertical lines
21. evaluating a floor function
22. graphing a floor function
23. graphing absolute value equations
24. writing an absolute value function as a piecewise
function
25. evaluating a piecewise function
26. writing double absolute value functions as
piecewise
27. transforming absolute value graphs
28. graphing linear inequalities
29. graphing absolute value inequalities
Unit 3
30. solving 2-variable systems by graphing
31. solving 2-variable systems using elimination or
substitution
32. inconsistent, dependent, etc. for 2-variable
33. 2D systems of inequalities
34. maximizing/minimizing an objective function
35. full linear programming problems
36. solving 3-variable systems
Unit 4
37. matrix dimensions; accessing values in a matrix
38. adding/subtracting matrices
39. scalar multiplication
40. matrix multiplication
41. equal matrices
42. solving equations containing matrices
43. determinant of 2x2
44. determinant of 3x3 or larger
45. identity matrix
46. inverse of a 2x2
47. solving equations using a matrix inverse
48. solving a system using a matrix inverse
49. solving a system using Cramer's Rule
50. solving a system using rref
Unit 5
51. finding the vertex of a parabola
52. the axis of symmetry of a parabola
53. finding a quadratic function given 3 points on the
curve
54. graphing a quadratic
55. finding a quadratic function given the vertex and
another point
56. transforming parabolas
57. converting standard form to vertex form
58. factoring quadratic expressions
59. solving quadratic equations
60. solving quadratic inequalities
61. complex addition
62. complex multiplication
63. complex division
64. complex absolute value
65. powers of i
66. discriminant test
Unit 6
67. classifying polynomials (by degree)
68. adding/subtracting/multiplying polynomial
expressions
69. factoring polynomials
70. (x – a) is a factor  a is a zero
71. writing a polynomial in standard form given zeros
72. dividing polynomials using long division
73. dividing polynomials using synthetic division
74. evaluating a polynomial function
75. solving polynomial equations by graphing
76. factoring sum & difference of 2 cubes
77. factoring quadratic form polynomials
78. possible rational roots
79. irrational roots in pairs
80. imaginary roots in pairs
81. writing a polynomial given some roots
82. solving a polynomial equation using RRT, etc.
83. using binomial theorem
Unit 7
84. properties of exponents
85. finding real roots of real #s
86. simplifying radical expressions assuming all
variables are positive
87. same thing without assumption
88. multiplying radical expressions
89. dividing radical expressions
90. rationalizing denominators
91. multiplying binomial radical expressions
92. multiplying radical conjugates
93. rationalizing binomial radical denominators
94. simplifying expressions with rational exponents
95. radical form  rational form
96. simplifying #s with rational exponents
97. solving radical equations
98. solving equations containing rational exponents
99. function operations: +, -, *, /, composition
100. inverse relations and functions