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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
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