SAT 대비 미국고교수학 시리즈 : Algebra Ⅱ

Chapter1 Working with polynomials

Ⅰ. Calculating Monomials
1. Using Property of Exponents
2. Multiplication and Division

Ⅱ. Calculating Polynomials
1. Addition and Subtraction
2. Multiplication, Part 1
3. Multiplication, Part 2

Ⅲ. Factoring
1. Prime Factorization
2. Factoring of Binomial
3. Factoring of Trinomial
4. More Factorings

Chapter2 Rational Expression

Ⅰ. Introduction to Rational Expression
Definition of Rational Number

Ⅱ. Simplifying Rational Expression
1. Multiplication and Division
2. Addition, Subtraction and Complex Fraction

Ⅲ. Rational Equation and its application
1. Fractional Coefficient and Equation
2. Application of Rational equation

Chapter3 Quadratic Equations and Functions

Ⅰ. Solving Quadratic Equations
1. Solving Basic Quadratic Equations
2. Complex Number
3. Completing the Square and the Quadratic Formula
4. More Complicated Quadratic Equations

Ⅱ. Application of Quadratic Equations
1. Solutions and Coefficients of the Quadratic Equations
2. Word Problems

Ⅲ. Graphing Quadratic Functions
1. Graphing Quadratic Functions, Part 1
2. Graphing Quadratic Functions, Part 2

Ⅳ. Application of Quadratic Functions
1. Zeros of the Quadratic functions
2. Writing Quadratic Functions
3. Minimum and Maximum

Chapter4 Roots and Radicals

Ⅰ. Simplifying Roots and Radicals
1. The Square Roots
2. Nth Roots and Rational Exponents
3. Properties of Radicals

Ⅱ. Radical Equations and Functions
1. Radical Equations
2. Graphing Radical Functions

Chapter5 Special Functions

Ⅰ. Special Functions
1. Absolute Value Functions
2. Greatest Integer and Piecewise Functions
3. Function Operations
4. Inverse Functions

Chapter6 System of Equations and Inequalities

Ⅰ. System of Equations
1. Linear Systems in two Variables
2. Linear Systems in three Variables
3. Nonlinear Systems

Ⅱ. Inequalities
1. Basic Inequalities
2. Nonlinear Inequalities

Chapter7 Sequences and Series

Ⅰ. Sequence
1. Introduction to Sequence
2. Arithmetic Sequence
3. Geometric Sequence

Ⅱ. Series
1. Introduction to Series
2. Arithmetic Series
3. Geometric Series

Practice Problem

CH 1 Working with Polynomials
Ⅰ. Calculating Monomials
Ⅱ. Calculating Polynomials
Ⅲ. Factoring

CH 2 Rational Expression
Ⅰ. Introduction to Rational Expression
Ⅱ. Simplifying Rational Expression
Ⅲ. Rational Equation and its application

CH 3 Quadratic Equations and Functions
Ⅰ. Solving Quadratic Equations
Ⅱ. Application of Quadratic Equations
Ⅲ. Graphing Quadratic Functions
Ⅳ. Application of Quadratic Functions

CH 4 Roots and Radicals
Ⅰ. Simplifying Roots and Radicals
Ⅱ. Radical Equations and Functions

CH 5 Special Functions
Ⅰ. Special Functions

CH 6 System of Equations and Inequalities
Ⅰ. System of Equations
Ⅱ. Inequalities

CH 7 Sequences and Series
Ⅰ. Sequence
Ⅱ. Series