### 12th Grade Algebra Online Tutoring

Online Tutoring Index : 12th Grade Math : Algebra - II

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This is a representative list of topics covered in our Grade 12 Math - Algebra program. However all our programs will be customized for the individual student.

1. Absolute value to solve equations/inequalities

2. Solve equations involving absolute value

3. Solve inequalities involving absolute value

4. Systems of linear equations/inequalities

5. Solve systems of linear equations
(in two or three variables) by substitution

6. Solve systems of linear equations
(in two or three variables) with graphs

7. Solve systems of linear equations
(in two or three variables) with matrices

8. Solve systems of linear inequalities
(in two or three variables) by substitution

9. Solve systems of linear inequalities
(in two or three variables) with graphs

10. Solve systems of linear inequalities
(in two or three variables) with matrices

11. Operations on polynomials

13. Polynomial subtraction

14. Polynomial multiplication

15. Polynomial division (including long division)

16. Factoring polynomials/trinomials

17. Polynomials representing the difference of squares

18. Perfect square trinomials

19. Sum of two cubes

20. Difference of two cubes

21. Operations on complex numbers

22. Represent complex numbers arithmetically

23. Represent complex numbers graphically

25. Subtract complex numbers

26. Multiply complex numbers

27. Divide complex numbers

28. Operations on rational expressions

30. Rational expressions – subtraction

31. Rational expressions – multiplication

32. Rational expressions – division

33. Evaluating rational expressions with
negative exponents in the denominator

35. Graph quadratic equations by factoring

36. Graph quadratic equations by completing the square

38. Quadratic equations in complex number system

40. Maxima of a quadratic function

41. Minima of a quadratic function

42. Zeros of a quadratic function

43. Laws and properties of logarithms

44. Simple laws and properties of logarithms

45. Converting to logarithm of any base

46. Logarithmic numeric expressions

47. Fractional exponents, exponential functions

48. Laws of fractional exponents

49. Exponential functions

50. Exponential growth and decay

51. Conic sections

52. Graph of a conic section (asymptotes, foci, eccentricity)

53. Ellipse, parabola, hyperbola

54. Equation of ellipse

55. Equation of parabola

56. Equation of hyperbola

57. Binomial theorem

58. Types of series

59. Arithmetic series

60. Geometric series

61. Finite series

62. Infinite series

63. Composition of functions

64. Continuous and discrete functions

65. Domains and ranges for continuous functions

66. Domains and ranges for discrete functions

67. Complex numbers for solutions of quadratic equations

68. Factoring/exponents

69. Factoring

70. Properties of exponents

71. Systems of equations/inequalities

72. Systems of equations in two or more unknowns

73. Systems of inequalities in two or more unknowns

74. Estimation of solutions

75. Standard functions

76. Linear functions

78. Logarithmic functions

79. Rational functions

80. Square root functions

81. Absolute value of x

82. Square root of x

83. Reciprocal of x

84. Inverse of a function

85. Solutions of function equations

86. Solutions of function equations using graphs

87. Solutions of function equations using tables

88. Solutions of function equations using algebraic methods

89. Slope/various forms of equation of line

90. Slopes from graphs

91. Slopes from tables

92. Slopes from algebraic representations

93. y=mx+b format

94. Equations of lines given two points

95. Equations of lines given a point and a slope - point-slope formula

96. Equations of lines given a slope and y-intercept

97. Zeros of linear functions

98. Slopes of parallel lines

99. Slopes of perpendicular lines

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