ALGEBRA1(Mia's MATH SERIES)

1. Solving Linear Equations
1.1 Simplifying Expressions.................................................................................... 12
1.2 Solving Equations in One Variable.............................................................. 21
1.3 Words into Symbols ........................................................................................ 33
1.4 Word problems with Equations.................................................................... 38
2. Solving Linear Inequalities
2.1 Solving Inequalities.......................................................................................... 56
2.2 Solving Combined Inequalities.................................................................... 65
2.3 Word Problem with Inequalities................................................................... 70
2.4 Absolute Value equations............................................................................. 77
2.5 Absolute Value Inequalities........................................................................... 85
3. Functions and Linear
3.1 Function and Relations................................................................................... 92
3.2 Transformation................................................................................................. 101
3.3 The Slope of a Line......................................................................................... 116
3.4 Graphs of Linear Functions........................................................................... 123
4. Writing Linear Functions
4.1 Finding an Equation of the Line.................................................................. 134
4.2 Two linear Graphs............................................................................................ 144
4.3 Regression and Interpretation...................................................................... 150

5. System of Linear Equations
5.1 Systems of Linear Equations.........................................................................160
5.2 Solutions of System.........................................................................................170
5.3 Word Problems about System......................................................................175
5.4 Systems of Inequalities...................................................................................185
6. Exponential Function
6.1 Law of Exponents.............................................................................................194
6.2 Roots and Rational Exponents.....................................................................201
6.3 Exponential Functions....................................................................................208
6.4 Compound Interest.........................................................................................218
6.5 Exponential Equations...................................................................................224
6.6 Sequences .......................................................................................................229
6.7 Arithmetic and Geometric Sequences.......................................................236
7. Factoring and Expanding Polynomials
7.1 Polynomials........................................................................................................244
7.2 Multiplying Polynomials..................................................................................248
7.3 Factoring using GCF.......................................................................................258
7.4 Factoring Quadratic........................................................................................262
7.5 Factoring Polynomials....................................................................................273
7.6 Solving Polynomial Equations......................................................................278
7.7 Word Problems about Polynomial Equation.............................................285

8. Quadratic Function
8.1 Graphing Quadratic Functions..................................................................... 296
8.2 Vertex of Quadratic Graphs.......................................................................... 306
8.3 Comparing Functions..................................................................................... 318
9. Solving Quadratic Equations
9.1 Properties of Roots........................................................................................... 324
9.2 Imaginary Numbers........................................................................................ 332
9.3 Finding Zeros of Quadratic........................................................................... 337
9.4 Finding Zeros by Completing the Square................................................. 344
9.5 Quadratic Formula.......................................................................................... 351
9.6 Discriminant...................................................................................................... 356
9.7 Solving Nonlinear Systems............................................................................ 363
10. Radical Functions
10.1 Graph of Radical Function........................................................................... 368
10.2 Radical Equations.......................................................................................... 373
10.3 Inverse of a Function.................................................................................... 377
11. Basic Statistics
11.1 Measuring Center of Data............................................................................. 388
11.2 Measuring Spread of Data............................................................................ 400
11.3 Probability......................................................................................................... 409
11.4 Conditional Probability.................................................................................. 415
Answers 421

소미혜 Mia(소미혜) 선생님은 지난 15년 이상을 유학 수학 현장에서 다양한 학생들과 호흡하면서 최적화된 미국 수학 및 국제학교 수학에 대한 솔루션을 제공해 온 수학 전문가이다.
압구정 미국수학 전문강사라는 타이틀이 위의 노력들을 통해서 자연스럽게 얻게 된 선생님의 별칭이다.
미국에서 인증된 수학전문강사(Texas 8-12 미국수학교사자격증 content exam + PPR exam 통과)로 관련된 전문자격증을 소지하고 있으며, 특히, 해외 엄마들 사이에 입 소문난 실력파 강사이다.
Precalculus, AP calculus AB BC, AP Statistics, SAT 1 2 math, IB Math 등에서 15년 이상의 경력을 가지고 있다. 또한 한국 수능수학 강의 경력도 4년 이상을 가지고 있어서 한국 수학과 미국/국제 학교 수학에 대해서 모두 정통한 수학 전문가이다.

ㆍ8-12 Texas Mathematics Teacher Certificate (content exam + PPR exam 통과)
ㆍ(현) No.1 유학 인터넷 강의 사이트 마스터프렙(www.masterprep.net) 수학강사
ㆍ(전) IBAdvance IB, sat 수학대표강사
ㆍ전) 해커스유학 미국수학강사
ㆍ전) PSU Edu AP, SAT 수학강사
ㆍ미국텍사스고등학교, 국내국제고등학교 수학교사 경력 6년
ㆍ수능수학강의 경력 4년
ㆍ용인외대부고, 경기외고, KIS, 제주KIS, SIS, 청라달튼, 브랭섬홀, 일본, 싱가포르, 베트남
국제학교 등의 학생들의 온라인/오프라인 개인지도
ㆍollege Board certification for AP Calculus AB, BC
ㆍCollege Board certification for AP Statistics
ㆍMia's GEOMETRY, 헤르몬하우스
ㆍia's ALGEBRA 2, 헤르몬하우스
ㆍia's PREALGEBRA, 헤르몬하우스
ㆍia's AP PRECALCULUS, 헤르몬하우스
ㆍia's AP CALCULUS AB BC, 헤르몬하우스