Beginning & intermediate algebra
Author(s)
Bibliographic Information
Beginning & intermediate algebra
（Always learning）
Pearson, c2013
5th ed
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Note
includes index
Description and Table of Contents
Description
Elayn Martin-Gay's developmental math textbooks and video resources are motivated by her firm belief that every student can succeed. Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources (available separately). This revision of Martin-Gay's algebra series continues her focus on students and what they need to be successful.
Table of Contents
- 1. Review of Real Numbers 1.1 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 Integrated Review-Operations on Real Numbers 1.7 Multiplying and Dividing Real Numbers 1.8 Properties of Real Numbers 2. Equations, Inequalities, and Problem Solving 2.1 Simplifying Algebraic Expressions 2.2 The Addition and Multiplication Properties of Equality 2.3 Solving Linear Equations Integrated Review-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 3. 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 Integrated Review-Summary on Slope and Graphing Linear Equations 3.5 Equation of Lines 3.6 Functions 4. 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 Integrated Review-Solving Systems of Equations 4.4 Solving Systems of Linear Equations in Three Variables 4.5 Systems of Linear Equations and Problem Solving 5. Exponents and Polynomials 5.1 Exponents 5.2 Polynomial Functions and Adding and Subtracting Polynomials 5.3 Multiplying Polynomials 5.4 Special Products Integrated Review-Exponents and Operations on Polynomials 5.5 Negative Exponents and Scientific Notation 5.6 Dividing Polynomials 5.7 Synthetic Division and the Remainder Theorem 6. 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 by Perfect Square Trinomials 6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping 6.5 Factoring Binomials Integrated Review-Choosing a Factoring Strategy 6.6 Solving Quadratic Equations by Factoring 6.7 Quadratic Equations and Problem Solving 7. 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 Integrated Review-Summary on Rational Expressions 7.6 Proportion and Problem Solving with Rational Equations 7.7 Simplifying Complex Fractions 8. More on Functions and Graphs 8.1 Graphing and Writing Linear Functions 8.2 Reviewing Function Notation and Graphing Nonlinear Functions Integrated Review-Summary on Functions and Equations of Lines 8.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions 8.4 Variation and Problem Solving 9. Inequalities and Absolute Value 9.1 Compound Inequalities 9.2 Absolute Value Equations 9.3 Absolute Value Inequalities Integrated Review-Solving Compound Inequalities and Absolute Value Equations and Inequalities 9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities 10. 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 Integrated Review-Radicals and Rational Exponents 10.6 Radical Equations and Problem Solving 10.7 Complex Numbers 11. 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 Integrated Review-Summary on Solving Quadratic Equations 11.4 Nonlinear Inequalities in One Variable 11.5 Quadratic Functions and Their Graphs 11.6 Further Graphing of Quadratic Functions 12. 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 Integrated Review-Functions and Properties of Logarithms 12.7 Common Logarithms, Natural Logarithms, and Change of Base 12.8 Exponential and Logarithmic Equations and Problem Solving 13. Conic Sections 13.1 The Parabola and the Circle 13.2 The Ellipse and the Hyperbola Integrated Review-Graphing Conic Sections 13.3 Solving Nonlinear Systems of Equations 13.4 Nonlinear Inequalities and Systems of Inequalities 14. Sequences, Series, and the Binomial Theorem 14.1 Sequences 14.2 Arithmetic and Geometric Sequences 14.3 Series Integrated Review-Sequences and Series 14.4 Partial Sums of Arithmetic and Geometric Sequences 14.5 The Binomial Theorem Appendix A. Operations on Decimals/Percent, Decimal, and Fraction Table Appendix B. Review of Algebra Topics Appendix C. An Introduction to Using a Graphic Utility Appendix D. Solving Systems of Equations by Matrices Appendix E. Solving Systems of Equations by Determinants Appendix F. Mean, Median, and Mode Appendix G. Review of Angles, Lines, and Special Triangles
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