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- W1180333916 abstract "1. Introduction to Algebraic Expressions 1.1 Introduction to Algebra 1.2 The Commutative, Associative, and Distributive Laws 1.3 Fraction Notation 1.4 Positive and Negative Real Numbers 1.5 Addition of Real Numbers 1.6 Subtraction of Real Numbers 1.7 Multiplication and Division of Real Numbers 1.8 Exponential Notation and Order of Operations 2. Equations, Inequalities, and Problem Solving 2.1 Solving Equations 2.2 Using the Principles Together 2.3 Formulas 2.4 Applications with Percent 2.5 Problem Solving 2.6 Solving Inequalities 2.7 Solving Applications with Inequalities 3. Introduction to Graphing 3.1 Reading Graphs, Plotting Points, and Scaling Graphs 3.2 Graphing Linear Equations 3.3 Graphing and Intercepts 3.4 Rates 3.5 Slope 3.6 Slope-Intercept Form 3.7 Point-Slope Form and Equations of Lines 4. Polynomials 4.1 Exponents and Their Properties 4.2 Negative Exponents and Scientific Notation 4.3 Polynomials 4.4 Addition and Subtraction of Polynomials 4.5 Multiplication of Polynomials 4.6 Special Products 4.7 Polynomials in Several Variables 4.8 Division of Polynomials 5. Polynomials and Factoring 5.1 Introduction to Factoring 5.2 Factoring Trinomials of the Type x2+bx+c 5.3 Factoring Trinomials of the Type ax2+bx+c 5.4 Factoring Perfect-Square Trinomials and Differences of Squares 5.5 Factoring Sums or Differences of Cubes 5.6 Factoring: A General Strategy 5.7 Solving Quadratic Equations by Factoring 5.8 Solving Applications 6. Rational Expression and Equations 6.1 Rational Expressions 6.2 Multiplication and Division 6.3 Addition, Subtraction, and Least Common Denominators 6.4 Addition and Subtraction with Unlike Denominators 6.5 Complex Rational Expressions 6.6 Rational Equations 6.7 Applications Using Rational Equations and Proportions 7. Functions and Graphs 7.1 Introduction to Functions 7.2 Domain and Range 7.3 Graphs of Functions 7.4 The Algebra of Functions 7.5 Formulas, Applications, and Variation 8. Systems of Linear Equations and Problem Solving 8.1 Systems of Equations in Two Variables 8.2 Solving by Substitution or Elimination 8.3 Solving Applications: Systems of Two Equations 8.4 Systems of Equations in Three Variables 8.5 Solving Applications: Systems of Three Equations 8.6 Elimination Using Matrices 8.7 Determinants and Cramer's Rule 8.8 Business and Economics Applications 9. Inequalities and Problem Solving 9.1 Inequalities and Applications 9.2 Intersections, Unions, and Compound Inequalities 9.3 Absolute-Value Equations and Inequalities 9.4 Inequalities in Two Variables 9.5 Applications Using Linear Programming 10. Exponents and Radicals 10.1 Radical Expressions and Functions 10.2 Rational Numbers as Exponents 10.3 Multiplying Radical Expressions 10.4 Dividing Radical Expressions 10.5 Expressions Containing Several Radical Terms 10.6 Solving Radical Equations 10.7 The Distance Formula, the Midpoint Formula, and Other Applications 10.8 The Complex Numbers 11. Quadratic Functions and Equations 11.1 Quadratic Equations 11.2 The Quadratic Formula 11.3 Studying Solutions of Quadratic Equations 11.4 Applications Involving Quadratic Equations 11.5 Equations Reducible to Quadratic 11.6 Quadratic Functions and Their Graphs 11.7 More About Graphing Quadratic Functions 11.8 Problem Solving and Quadratic Functions 11.9 Polynomial Inequalities and Rational Inequalities 12. Exponential Functions and Logarithmic Functions 12.1 Composite Functions and Inverse Functions 12.2 Exponential Functions 12.3 Logarithmic Functions 12.4 Properties of Logarithmic Functions 12.5 Common Logarithms and Natural Logarithms 12.6 Solving Exponential Equations and Logarithmic Equations 12.7 Applications of Exponential Functions and Logarithmic Functions 13. Conic Sections 13.1 Conic Sections: Parabolas and Circles 13.2 Conic Sections: Ellipses 13.3 Conic Sections: Hyperbolas 13.4 Nonlinear Systems of Equations 14. Sequences, Series, and the Binomial Theorem 14.1 Sequences and Series 14.2 Arithmetic Sequences and Series 14.3 Geometric Sequences and Series 14.4 The Binomial Theorem R. Elementary Algebra Review R.1 Introduction to Algebraic Expressions R.2 Equations, Inequalities, and Problem Solving R.3 Introduction to Graphing R.4 Polynomials R.5 Polynomials and Factoring R6. Rational Expressions and Equations Appendix A. Mean, Median, and Mode Appendix B. Sets Appendix C. Synthetic Division and the Remainder Theorem" @default.
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- W1180333916 title "Elementary and Intermediate Algebra: Concepts and Applications" @default.
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