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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