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What is included with this book?
Basic Concepts and Properties | |
Sets, Real Numbers, and Numerical Expressions | |
Operations with Real Numbers | |
Properties of Real Numbers and the Use of Exponents | |
Algebraic Expressions | |
Chapter 1 Summary | |
Chapter 1 Review Problem Set | |
Chapter 1 Test | |
Equations, Inequalities, and Problem Solving | |
Solving First-Degree Equations | |
Equations Involving Fractional Forms | |
Equations Involving Decimals and Problem Solving | |
Formulas | |
Inequalities | |
More on Inequalities and Problem Solving | |
Equations and Inequalities Involving Absolute Value | |
Chapter 2 Summary | |
Chapter 2 Review Problem Set | |
Chapter 2 Test | |
Polynomials | |
Polynomials: Sums and Differences | |
Products and Quotients of Monomials | |
Multiplying Polynomials | |
Factoring: Use of the Distributive Property | |
Factoring: Difference of Two Squares and Sum or Difference of Two Cubes | |
Factoring Trinomials | |
Equations and Problem Solving | |
Chapter 3 Summary | |
Chapter 3 Review Problem Set | |
Chapter 3 Test | |
Cumulative Review Problem Set (Chapters 1-3) | |
Rational Expressions | |
Simplifying Rational Expressions | |
Multiplying and Dividing Rational Expressions | |
Adding and Subtracting Rational Expressions | |
More on Rational Expressions and Complex Fractions | |
Dividing Polynomials | |
Fractional Equations | |
More Fractional Equations and Applications | |
Chapter 4 Summary | |
Chapter 4 Review Problem Set | |
Chapter 4 Test | |
Exponents and Radicals | |
Using Integers as Exponents | |
Roots and Radicals | |
Combining Radicals and Simplifying Radicals That Contain Variables | |
Products and Quotients Involving Radicals | |
Equations Involving Radicals | |
Merging Exponents and Roots | |
Scientific Notation | |
Chapter 5 Summary | |
Chapter 5 Review Problem Set | |
Chapter 5 Test | |
Quadratic Equations and Inequalities | |
Complex Numbers | |
Quadratic Equations | |
Completing the Square | |
Quadratic Formula | |
More Quadratic Equations and Applications | |
Quadratic and Other Nonlinear Inequalities | |
Chapter 6 Summary | |
Chapter 6 Review Problem Set | |
Chapter 6 Test | |
Cumulative Review Problem Set (Chapters 1- 6) | |
Linear Equations and Inequalities in Two Variables | |
Rectangular Coordinate System and Linear Equations | |
Graphing Nonlinear Equations | |
Linear Inequalities in Two Variables | |
Distance and Slope | |
Determining the Equation of a Line | |
Chapter 7 Summary | |
Chapter 7 Review Problem Set | |
Chapter 7 Test | |
Functions | |
Concept of a Function | |
Linear Functions and Applications | |
Quadratic Functions | |
More Quadratic Functions and Applications | |
Transformations of Some Basic Curves | |
Combining Functions | |
Direct and Inverse Variation | |
Chapter 8 Summary | |
Chapter 8 Review Problem Set | |
Chapter 8 Test | |
Polynomial and Rational Functions | |
Synthetic Division | |
Remainder and Factor Theorems | |
Polynomial Equations | |
Graphing Polynomial Functions | |
Graphing Rational Functions | |
More on Graphing Rational Functions | |
Chapter 9 Summary | |
Chapter 9 Review Problem Set | |
Chapter 9 Test | |
Exponential and Logarithmic Functions | |
Exponents and Exponential Functions | |
Applications of Exponential Functions | |
Inverse Functions | |
Logarithms | |
Logarithmic Functions | |
Exponential Equations, Logarithmic Equations, and Problem Solving | |
Chapter 10 Summary | |
Chapter 10 Review Problem Set | |
Chapter 10 Test | |
Cumulative Review Problem Set (Chapters 1-10) | |
Systems of Equations | |
Systems of Two Linear Equations in Two Variables | |
Systems of Three Linear Equations in Three Variables | |
Matrix Approach to Solving Linear Systems | |
Determinants | |
Cramer's Rule | |
Partial Fractions (optional) | |
Chapter 11 Summary | |
Chapter 11 Review Problem Set | |
Chapter 11 Test | |
Algebra of Matrices | |
Algebra of Matrices | |
Multiplicative Inverses | |
Matrices | |
Systems of Linear Inequalities: Linear Programming | |
Chapter 12 Summary | |
Chapter 12 Review Problem Set | |
Chapter 12 Test | |
Conic Sections | |
Circles | |
Parabolas | |
Ellipses | |
Hyperbolas | |
Systems Involving Nonlinear Equations | |
Chapter 13 Summary | |
Chapter 13 Review Problem Set | |
Chapter 13 Test | |
Sequences and Mathematical Induction | |
Arithmetic Sequences | |
Geometric Sequences | |
Another Look at Problem Solving | |
Mathematical Induction | |
Chapter 14 Summary | |
Chapter 14 Review Problem Set | |
Chapter 14 Test | |
Prime Numbers and Operations with Fractions | |
Binomial Theorem | |
Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, Cumulative Review, and Appendix A Problems | |
Answers to Selected Even-Numbered Problems | |
Index I-1 | |
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