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Full Description
The Akst/Bragg series' success is built around clear and concise writing, a side-by-side "teach by example" approach, and integrated applications throughout that help you achieve a conceptual understanding. The user-friendly design offers a distinctive side-by-side format that pairs examples and their solutions with corresponding practice exercises. You understand from the very beginning that doing math is an essential part of learning it. Motivational, real-world applications demonstrate how integral mathematical understanding is to a variety of disciplines, careers, and everyday situations.
Contents
R. Prealgebra ReviewR.1 Exponents and Order of OperationsR.2 Factors, Primes, and Least Common MultiplesR.3 FractionsR.4 DecimalsR.5 Percent Conversions1. Introduction to Real Numbers and Algebraic Expression1.1 Real Numbers1.2 Addition of Real Numbers1.3 Subtraction of Real Numbers1.4 Multiplication of Real Numbers1.5 Division of Real Numbers1.6 Algebraic Expressions, Translations, and Exponents1.7 Evaluating Algebraic Expressions and Formulas1. 8 Simplifying Algebraic Expressions2. Solving Linear Equations and Inequalities2.1 Solving Linear Equations: The Addition Property2.2 Solving Linear Equations: The Multiplication Property2.3 Solving Linear Equations by Combining Properties2.4 Solving Literal Equations and Formulas2.5 Solving Equations Involving Percent2.6 Solving Linear Inequalities3. Graphing Linear Equations and Inequalities in Two Variables3.1 Introduction to Graphing3.2 Slope3.3 Linear Equations and Their Graphs3.4 More on Linear Equations and Their Graphs3.5 Linear Inequalities and Their Graphs4. Solving Systems of Linear Equations4.1 Introduction to Systems of Linear Equations: Solving by Graphing4.2 Solving Systems of Linear Equations by Substitution4.3 Solving Systems of Linear Equations by Elimination4.4 Solving Systems of Linear Inequalities5. Exponents and Polynomials5.1 Laws of Exponents5.2 More Laws of Exponents and Scientific Notation5.3 Basic Concepts of Polynomials5.4 Addition and Subtraction of Polynomials5.5 Multiplication of Polynomials5.6 Special Products5.7 Division of Polynomials6. Factoring Polynomials6.1 Common Factoring and Factoring by Grouping6.2 Factoring Trinomials Whose Leading Coefficient is 16.3 Factoring Trinomials Whose Leading Coefficient is Not 16.4 Factoring Perfect Square Trinomials, the Difference of Squares, and the Sum and Difference of Cubes6.5 Solving Quadratic Equations by Factoring7. Rational Expressions and Equations7.1 Rational Expressions7.2 Multiplication and Division of Rational Expressions 7.3 Addition and Subtraction of Rational Expressions7.4 Complex Rational Expressions7.5 Solving Rational Equations7.6 Ratio and Proportion 7.7 Variation 8. Functions8.1 Introduction to Functions8.2 The Algebra of Functions and Inverse Functions9. Radical Expressions, Functions, and Equations9.1 Radical Expressions and Functions9.2 Rational Exponents9.3 Simplifying Radical Expressions9.4 Addition and Subtraction of Radical Expressions9.5 Multiplication and Division of Radical Expressions9.6 Solving Radical Equations9.7 Complex Numbers10. Quadratic Equations, Functions, and Inequalities10.1 Solving Quadratic Equations: The Square Root Property of Equality; Completing the Square10.2 Solving Quadratic Equations: The Quadratic Formula10.3 More on Quadratic Equations10.4 Graphing Quadratic Functions10.5 Solving Quadratic and Rational Inequalities11. Exponential and Logarithmic Functions11.1 Exponential Functions11.2 Logarithmic Functions11.3 Properties of Logarithms11.4 Common Logarithms, Natural Logarithms, and Change of Base11.5 Exponential and Logarithmic Equations12. Conic Sections 12.1 Introduction to Conics; The Parabola12.2 The Circle12.3 The Ellipse and the Hyperbola12.4 Solving Nonlinear Systems of Equations12.5 Solving Nonlinear Inequalities and Nonlinear Systems of InequalitiesAppendixesA. Table of SymbolsB. Introduction to Graphing CalculatorsC. Review of Introductory AlgebraD. Basic Geometry (Online-only)D.1 Introduction to Basic GeometryD.2 Perimeter and CircumferenceD.3 AreaD.4 VolumeD.5 SImilar TrianglesD.6 Square Roots and the Pythagorean TheoremE. Solving Compound InequalitiesF. Solving Absolute Value Equations and InequalitiesG. Systems of Linear Equations in Three VariablesH. Solving Systems of Linear Equations by Using MatricesI. Determinants and Cramer's RuleJ. Synthetic Division
