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Beskrivning
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.
1. Real Numbers and Algebraic Expressions1.1 Tips for Success in Mathematics1.2 Algebraic Expressions and Sets of Numbers1.3 Operations on Real Numbers, and Order of Operation1.4 Properties of Real Numbers and Algebraic Expressions 2. Equations, Inequalities, and Problem Solving2.1 Linear Equation in One Variable2.2 An Introduction to Problem Solving2.3 Formulas and Problem Solving2.4 Linear Inequalities and Problem Solving2.5 Compound Inequalities2.6 Absolute Value Equations2.7 Absolute Value Inequalities 3. Graphs and Functions3.1 Graphing Equations3.2 Introduction to Functions3.3 Graphing Linear Functions3.4 The Slope of a Line3.5 Equations of Lines3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions3.7 Graphing Linear Inequalities 4. Systems of Equations4.1 Solving Systems of Equations in Two Variables4.2 Solving Systems of Equations in Three Variables4.3 Systems of Linear Equations and Problem Solving4.4 Solving Systems of Equations by Matrices4.5 Systems of Linear Inequalities 5. 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 Solving 6. 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 Problems Solving6.7 Variation and Problem Solving 7. 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 Numbers 8. 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 on One Variable8.5 Quadratic Functions and Their Graphs8.6 Further Graphing of Quadratic Functions 9. 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 Problem Solving 10. Sequences, Series, and the Binomial Theorem10.1 Sequences10.2 Arithmetic and Geometric Sequences10.3 Series10.4 Partial Sums of Arithmetic and Geometric Sequences10.5 The Binomial Theorem 11. Conic Sections11.1 The Parabola and the Circle11.2 The Ellipse and the Hyperbola11.3 Solving Nonlinear Systems of Equations11.4 Nonlinear Inequalities and Systems of Inequalities
