Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
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