Listed below includes the common topics for Algebra 2. During a live tutoring session, I will work with your students to meet them where they are! 


1. Linear Equations and Inequalities
Solving linear equations and inequalities
Graphing linear equations and inequalities
Systems of linear equations and inequalities
Applications of linear models
2. Quadratic Functions and Equations
Solving quadratic equations (factoring, completing the square, quadratic formula)
Graphing quadratic functions (vertex form, standard form)
Complex numbers
Applications of quadratic functions
3. Polynomials
Operations with polynomials (addition, subtraction, multiplication, division)
Polynomial identities
Factoring polynomials
Graphing higher-degree polynomials
The Remainder and Factor Theorems
4. Rational Expressions and Functions
Simplifying rational expressions
Solving rational equations
Graphing rational functions (asymptotes, holes)
Applications of rational functions
5. Radical Expressions and Functions
Simplifying radical expressions
Solving radical equations
Graphing radical functions
Applications involving square roots and cube roots
6. Exponential and Logarithmic Functions
Exponential growth and decay
Solving exponential equations
Introduction to logarithms
Properties of logarithms (logarithmic rules)
Solving logarithmic equations
Graphing exponential and logarithmic functions
7. Sequences and Series
Arithmetic sequences and series
Geometric sequences and series
Sigma notation
Recursive formulas
8. Probability and Statistics
Basic probability rules
Combinations and permutations
Probability distributions
Measures of central tendency (mean, median, mode)
Standard deviation and variance
9. Conic Sections
Parabolas
Circles
Ellipses
Hyperbolas
Graphing and analyzing conic sections
10. Matrices (sometimes covered)
Matrix operations (addition, multiplication)
Determinants and inverses of matrices
Solving systems of equations using matrices (Cramer's Rule)
11. Trigonometry (often covered in part)
Basic trigonometric ratios (sine, cosine, tangent)
Inverse trigonometric functions
Graphing trigonometric functions
Solving trigonometric equations