Description
Book SynopsisTable of Contents
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Review of Real Numbers
- 1.1 Study Skill Tips for Success in Mathematics
- 1.2 Symbols and Sets of Numbers
- 1.3 Fractions and Mixed Numbers
- 1.4 Exponents, Order of Operations, Variable Expressions and Equations
- 1.5 Adding Real Numbers
- 1.6 Subtracting Real Numbers
- 1.7 Multiplying and Dividing Real Numbers
- 1.8 Properties of Real Numbers
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Equations, Inequalities, and Problem Solving
- 2.1 Simplifying Algebraic Expressions
- 2.2 The Addition and Multiplication Properties of Equality
- 2.3 Solving Linear Equations
- 2.4 An Introduction to Problem Solving
- 2.5 Formulas and Problem Solving
- 2.6 Percent and Mixture Problem Solving
- 2.7 Further Problem Solving
- 2.8 Solving Linear Inequalities
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Graphing
- 3.1 Reading Graphs and the Rectangular Coordinate System
- 3.2 Graphing Linear Equations
- 3.3 Intercepts
- 3.4 Slope and Rate of Change
- 3.5 Equation of Lines
- 3.6 Functions
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Solving Systems of Linear Equations
- 4.1 Solving Systems of Linear Equations by Graphing
- 4.2 Solving Systems of Linear Equations by Substitution
- 4.3 Solving Systems of Linear Equations by Addition
- 4.4 Solving Systems of Linear Equations in Three Variables
- 4.5 Systems of Linear Equations and Problem Solving
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Exponents and Polynomials
- 5.1 Exponents
- 5.2 Polynomial Functions and Adding and Subtracting Polynomials
- 5.3 Multiplying Polynomials
- 5.4 Special Products
- 5.5 Negative Exponents and Scientific Notation
- 5.6 Dividing Polynomials
- 5.7 Synthetic Division and the Remainder Theorem
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Factoring Polynomials
- 6.1 The Greatest Common Factor and Factoring by Grouping
- 6.2 Factoring Trinomials of the Form x2 + bx + c
- 6.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials
- 6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping
- 6.5 Factoring Binomials
- 6.6 Solving Quadratic Equations by Factoring
- 6.7 Quadratic Equations and Problem Solving
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Rational Expressions
- 7.1 Rational Functions and Simplifying Rational Expressions
- 7.2 Multiplying and Dividing Rational Expressions
- 7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator
- 7.4 Adding and Subtracting Rational Expressions with Unlike Denominators
- 7.5 Solving Equations Containing Rational Expressions
- 7.6 Proportion and Problem Solving with Rational Equations
- 7.7 Simplifying Complex Fractions
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More on Functions and Graphs
- 8.1 Graphing and Writing Linear Functions
- 8.2 Reviewing Function Notation and Graphing Nonlinear Functions
- 8.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
- 8.4 Variation and Problem Solving
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Inequalities and Absolute Value
- 9.1 Compound Inequalities
- 9.2 Absolute Value Equations
- 9.3 Absolute Value Inequalities
- 9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities
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Rational Exponents, Radicals, and Complex Numbers
- 10.1 Radicals and Radical Functions
- 10.2 Rational Exponents
- 10.3 Simplifying Radical Expressions
- 10.4 Adding, Subtracting, and Multiplying Radical Expressions
- 10.5 Rationalizing Denominators and Numerators of Radical Expressions
- 10.6 Radical Equations and Problem Solving
- 10.7 Complex Numbers
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Quadratic Equations and Functions
- 11.1 Solving Quadratic Equations by Completing the Square
- 11.2 Solving Quadratic Equations by the Quadratic Formula
- 11.3 Solving Equations by Using Quadratic Methods
- 11.4 Nonlinear Inequalities in One Variable
- 11.5 Quadratic Functions and Their Graphs
- 11.6 Further Graphing of Quadratic Functions
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Exponential and Logarithmic Functions
- 12.1 The Algebra of Functions; Composite Functions
- 12.2 Inverse Functions
- 12.3 Exponential Functions
- 12.4 Exponential Growth and Decay Functions
- 12.5 Logarithmic Functions
- 12.6 Properties of Logarithms
- 12.7 Common Logarithms, Natural Logarithms, and Change of Base
- 12.8 Exponential and Logarithmic Equations and Problem Solving
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Conic Sections
- 13.1 The Parabola and the Circle
- 13.2 The Ellipse and the Hyperbola
- 13.3 Solving Nonlinear Systems of Equations
- 13.4 Nonlinear Inequalities and Systems of Inequalities
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Sequences, Series, and the Binomial Theorem
- 14.1 Sequences
- 14.2 Arithmetic and Geometric Sequences
- 14.3 Series
- 14.4 Partial Sums of Arithmetic and Geometric Sequences
- 14.5 The Binomial Theorem
Appendix A: Operations on Decimals/Table of Percent, Decimal, and Fraction Equivalents Appendix B: Review of Algebra Topics Appendix C: An Introduction to Using a Graphing Utility Appendix D: Solving Systems of Equations by Matrices Appendix E: Solving Systems of Equations Using Determinants Appendix F: Mean, Median, Mode Appendix G: Review of Angles, Lines, and Special Triangles Student Resources Study Skill Builders Bigger Picture: Study Guide Outline Practice Final Exam
