#### Algebra II Topics covered by …and Math Tutoring

- The Basics
- The order of operations
- Evaluating expressions
- Simplifying algebraic expressions
- Equations and Inequalities
- Solving multi-step equations
- Work word problems
- Distance-rate-time word problems
- Mixture word problems
- Solving absolute value equations
- Solving multi-step inequalities
- Solving compound inequalities
- Solving absolute value inequalities
- Linear Relations and Functions
- Graphing linear equations
- Writing linear equations
- Graphing absolute value equations
- Graphing linear inequalities
- Systems of Equations and Inequalities
- Graphing systems of two linear inequalities
- Solving systems of two linear equations by graphing
- Solving systems of two linear equations by elimination
- Solving systems of two linear equations by substitution
- Systems of two equations word problems
- Points in three dimensions
- Planes
- Solving systems of three linear equations by elimination
- Solving systems of three linear equations by substitution
- Matrices
- Basic matrix operations
- Matrix multiplication
- Determinants
- Matrix inverses
- Cramer’s Rule
- Matrix equations
- Geometric transformations with matrices
- Complex Numbers
- Adding / subtracting / multiplying / absolute value of complex numbers
- Graphing complex numbers
- Rationalizing imaginary denominators
- Quadratic Functions and Inequalities
- Graphing quadratic functions
- Solving quadratic equations by graphing
- Factoring quadratic trinomials
- Factoring special case trinomials
- Solving quadratic equations by taking square roots
- Solving quadratic equations by factoring
- Completing the square
- Solving quadratic equations by completing the square
- Solving quadratic equations using the Quadratic Formula
- The discriminant
- Graphing quadratic inequalities
- Polynomial Functions
- Naming polynomials
- Adding / subtracting / multiplying polynomials
- The Binomial Theorem
- Dividing polynomials
- Factoring by grouping
- Factoring sum/difference of cubes
- Factoring quadratic form
- Synthetic division and synthetic substitution
- The Remainder Theorem and The Factor Theorem
- Imaginary Root Theorem and Irrational Root Theorem
- Polynomials, factors, and roots
- Writing polynomial functions
- The Rational Root Theorem
- Descartes’ Rule of Signs
- The Fundamental Theorem of Algebra
- Solving polynomial equations, all methods
- End behavior of polynomial functions
- Sketching the general shape of polynomial functions
- Graphing polynomial functions, including minima/maxima
- Solving polynomial functions by graphing
- General Functions
- Evaluating functions
- Function operations
- Inverse functions
- Radical Functions and Rational Exponents
- Simplifying radical expressions
- Operations with radical expressions
- Dividing radical expressions
- Relating rational exponents and radical expressions
- Evaluating rational exponent expressions
- The laws of exponents
- Solving radical equations
- Solving rational exponent equations
- Graphing radical functions
- Domain and range of radical functions
- Conic Sections
- Properties of parabolas
- Writing equations of parabolas
- Properties of circles
- Writing equations of circles
- Properties of ellipses
- Writing equations of ellipses
- Properties of hyperbolas
- Writing equations of hyperbolas
- General conic sections
- Systems of quadratic relations
- Rational Expressions
- Graphing simple rational expressions
- Graphing general rational expressions
- Simplifying rational expressions
- Multiplying / dividing rational expressions
- Adding / subtracting rational expressions
- Complex fractions
- Solving rational equations
- Exponential and Logarithmic Functions
- Graphing exponential functions
- Solving exponential equations not requiring logarithms
- Rewriting logarithms
- Evaluating logarithms
- Logarithms and exponential functions as inverses
- Properties of logarithms
- Common logarithms
- Natural logarithms
- Solving exponential equations requiring logarithms
- Solving logarithmic equations
- Graphing logarithmic functions
- Sequences and Series
- General sequences
- Arithmetic sequences
- Geometric sequences
- Arithmetic and geometric mean
- General series
- Arithmetic series
- Geometric series
- Infinite geometric series

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