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1. Functions and Linear
1.1 Function and Relations.......................................12
1.2 Transformation...................................................22
1.3 The Slope of a Line.............................................37
1.4 Graphs of Linear Functions.................................42
1.5 Finding an Equation of the Line..........................49
1.6 Two linear Graphs...............................................55
1.7 Piecewise Function.............................................60
1.8 Absolute value function......................................64
1.9 Absolute Value equations and Inequalities...........71

2. Systems and Matrices
2.1 Systems of Linear Equations...............................80
2.2 Word Problems about System..............................90
2.3 Systems of Inequalities.......................................104
2.4 Linear Programming...........................................109
2.5 Algebra of Matrices............................................114
2.6 Inverse and Matrix Equation...............................121

3. Factoring and Expanding Polynomials
3.1 Law of Exponents...............................................128
3.2 Polynomials........................................................136
3.3 Multiplying Polynomials......................................139
3.4 Factoring using GCF...........................................151
3.5 Factoring Quadratic...........................................155
3.6 Factoring Polynomials........................................164
3.7 Solving Polynomial Equations..............................173
3.8 Word Problems about Polynomial Equation..........179
3.9 Solving polynomial Inequalities...........................188

4. Quadratic Function
4.1 Imaginary Numbers............................................194
4.2 Complex numbers...............................................199
4.3 Graphing Quadratic Functions............................208
4.4 Vertex of Quadratic Graphs................................217
4.5 Word Problems about Optimization.....................228
4.6 Finding Zeros by Factoring.................................238
4.7 Finding Zeros by Completing the Square.............243
4.8 Quadratic Formula.............................................248
4.9 Solving Equations in Quadratic Form...................253
4.10 Quadratic Inequalities using graphs...................258
4.11 Discriminant....................................................266
4.12 Sum and product of the roots...........................276

5. Polynomials
5.1 Graphing Polynomials.........................................284
5.2 Dividing Polynomials..........................................290
5.3 The Remainder and Factor Theorems..................297
5.4 Theorems about Roots of Polynomial..................302
5.5 Complex Roots of Polynomial function................308

6. Rational Expressions
6.1 Rational Expressions...........................................314
6.2 Multiplying and Dividing Rational Expressions......321
6.3 Sums and Differences of Rational Expressions.....324
6.4 Complex Fractions..............................................330
6.5 Rational Equations and Word Problems................336
6.6 Graph of Rational Functions...............................346

7. Radicals
7.1 Roots of Real Numbers.......................................354
7.2 Properties of Radicals.........................................365
7.3 Operations of Radicals........................................372
7.4 Radical Equations...............................................382
7.5 Graph of Radical Function..................................388
7.6 Rational and Real Exponents...............................392

8. Exponential and Logarithm
8.1 Composite Function...........................................406
8.2 Inverse Function.................................................410
8.3 Exponential Function..........................................420
8.4 Definition of Logarithms.....................................426
8.5 Laws of Logarithms............................................435
8.6 Log and Exp Equations.......................................443
8.7 The Natural Logarithm Function..........................451
8.8 Exponential Growth and Modeling.......................459

9. Sequence and Series
9.1 Sequence and Series..........................................466
9.2 Arithmetic Sequence and Series..........................475
9.3 Geometric Sequence and Series..........................482
9.4 Infinite Geometric Series....................................488

10. Coordinate Geometry
10.1 Distance and midpoint Formulas.......................496
10.2 Equation of Circle.............................................501
10.3 Basics of Conic Sections...................................510

11. Basic Statistics
11.1 Measuring Center of Data.................................522
11.2 Measuring Spread of Data................................531
11.3 Probability.......................................................541
11.4 Independent and dependent Event....................549

Answers...................................................................559