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 | |
Summary | |
Review Problem Set | |
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 | |
Summary | |
Review Problem Set | |
Test Cumulative Review Problem Set (Chapters 1-2) | |
Polynomials | |
Polynomials: Sums and Differences | |
Products and Quotients of Monomials | |
Multiplying Polynomials | |
Factoring: Greatest Common Factor and Common Binomial Factor | |
Factoring: Difference of Two Squares and Sum or Difference of Two Cubes | |
Factoring Trinomials | |
Equations and Problem Solving | |
Summary | |
Review Problem Set | |
Test | |
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 | |
Summary | |
Review Problem Set | |
Test Cumulative Review Problem Set (Chapters 1-4) | |
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 | |
Summary | |
Review Problems Set | |
Test | |
Quadratic Equations and Inequalities | |
Complex Numbers | |
Quadratic Equations | |
Completing the Square | |
Quadratic Formula | |
More Quadratic Equations and Applications | |
Quadratic and Other Nonlinear Inequalities | |
Summary | |
Review Problem Set | |
Test Cumulative Review Problem Set (Chapters 1-6) | |
Linear Equations and Inequalities in Two Variables | |
Rectangular Coordinate System and Linear Equations | |
Linear Inequalities in Two Variables | |
Distance and Slope | |
Determining the Equation of a Line | |
Graphing Nonlinear Equations | |
Summary | |
Review Problem Set | |
Test | |
Conic Sections | |
Graphing Parabolas | |
More Parabolas and Some Circles | |
Graphing Ellipses | |
Graphing Hyperbolas | |
Summary | |
Review Problem Set | |
Test Cumulative Review Problem Set (Chapters 1-8) | |
Functions | |
Relations and Functions | |
Functions: Their Graphs and Applications | |
Graphing Made Easy Via Transformations | |
Composition of Functions | |
Inverse Functions | |
Direct and Inverse Variations | |
Summary | |
Review Problem Set | |
Test | |
Systems of Equations | |
Systems of Two Linear Equations and Linear Inequalities in Two Variables | |
Substitution Method | |
Elimination-by-Addition Method | |
Systems of Three Linear Equations in Three Variables | |
Matrix Approach to Solving Systems | |
Determinants. 3 x 3 Determinants and Systems of Three Linear Equations in Three Variables | |
Systems Involving Nonlinear Equations and Systems of Inequalities | |
Summary | |
Review Problem Set | |
Test Cumulative Review Problem Set (Chapters 1-10) | |
Exponential and Logarithmic Functions | |
Exponents and Exponential Functions | |
Applications of Exponential Functions | |
Logarithms | |
Logarithmic Functions | |
Exponential Equations, Logarithmic Equations, and Problem Solving | |
Summary | |
Review Problem Set | |
Test | |
Prime Numbers and Operations with Fractions | |
Binomial Expansions | |
Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, Cumulative | |
Review, Appendix a and Appendix B Problems | |
Answers to Selected Even-Numbered Problems | |
Index | |
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