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Full 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. This revision of Martin-Gay's algebra series continues her focus on students and what they need to be successful.
Contents
1. Real Numbers, Algebraic Expressions and Equations 1.1 Tips for Success1.2 Algebraic Expressions and Sets of Numbers1.3 Operations on Real Numbers and Order of Operations1.4 Properties of Real Numbers and Algebraic Expressions1.5 Solving Linear Equations Algebraically1.6 An Introduction to Problem Solving1.7 A Numerical Approach to Modeling with Tables1.8 Formulas and Problem Solving2. Graphs and Functions2.1 Graphing Equations2.2 Introduction to Functions2.3 Graphing Linear Functions2.4 The Slope of a Line2.5 Equations of Lines2.6 Interpreting Data: Linear Models2.7 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions3. Equations and Inequalities3.1 Solving Linear Equations Graphically 3.2 Linear Inequalities and Problem Solving3.3 Compound Inequalities3.4 Absolute Value Equations3.5 Absolute Value Inequalities3.6 Graphing Linear Inequalities in Two Variables4. Systems of Equations4.1 Solving Systems of Linear Equations in Two Variables4.2 Solving Systems of Linear Equations in Three Variables4.3 Systems of Linear Equations and Problem Solving4.4 Solving Systems of Equations by Matrices4.5 Systems of Linear Inequalities5. Exponents, Polynomials, and Polynomial Functions5.1 Exponents and Scientific Notation5.2 More Work with Exponents and Scientific Notation5.3 Polynomials and Polynomial Functions5.4 Multiplying Polynomials5.5 The Greatest Common Factor and Factoring by Grouping5.6 Factoring Trinomials5.7 Factoring by Special Products5.8 Solving Equations by Factoring and Problem Solving6. Rational Expressions6.1 Rational Functions and Multiplying and Dividing Rational Expressions6.2 Adding and Subtracting Rational Expressions6.3 Simplifying Complex Fractions6.4 Dividing Polynomials: Long Division and Synthetic Division6.5 Solving Equations Containing Rational Expressions6.6 Rational Equations and Problem Solving6.7 Variation and Problem Solving7. Rational Exponents, Radicals, and Complex Numbers7.1 Radicals and Radical Functions7.2 Rational Exponents7.3 Simplifying Radical Expressions7.4 Adding, Subtracting, and Multiplying Radical Expressions7.5 Rationalizing Denominators and Numerators of Radical Expressions7.6 Radical Equations and Problem Solving7.7 Complex Numbers8. Quadratic Equations and Functions8.1 Solving Quadratic Equations by Completing the Square8.2 Solving Quadratic Equations by the Quadratic Formula8.3 Solving Equations by Using Quadratic Methods8.4 Nonlinear Inequalities in One Variable8.5 Quadratic Functions and Their Graphs8.6 Further Graphing of Quadratic Functions8.7 Interpreting Data: Linear and Quadratic Models9. Exponential and Logarithmic Functions9.1 The Algebra of Functions; Composite Functions9.2 Inverse Functions9.3 Exponential Functions9.4 Exponential Growth and Decay Functions9.5 Logarithmic Functions9.6 Properties of Logarithms9.7 Common Logarithms, Natural Logarithms, and Change of Base9.8 Exponential and Logarithmic Equations and Applications10. Conic Sections10.1 The Parabola and the Circle10.2 The Ellipse and the Hyperbola10.3 Solving Nonlinear Systems of Equations10.4 Nonlinear Inequalities and Systems of Inequalities11. Sequences, Series, and the Binomial Theorem11.1 Sequences11.2 Arithmetic and Geometric Sequences11.3 Series11.4 Partial Sums of Arithmetic and Geometric Sequences11.5 The Binomial TheoremAppendix A. GeometryAppendix B. Stretching and Compressing Graphs of Absolute Value FunctionsAppendix C. Solving Systems of Equations Using DeterminantsAppendix D. An Introduction to Using a Graphing UtilityAppendix E. Graphing Stat Plots and Regression Equations
