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Elayn Martin-Gay's success as a developmental math author starts with a strong focus on mastering the basics through well-written explanations, innovative pedagogy and a meaningful, integrated program of learning resources. The revisions to this edition provide new pedagogy and resources to build reader confidence and help readers develop basic skills and understand concepts. Features incorporation of AMATYC and NCTM standards-reflected in an increased emphasis on visualization graphing, and data analysis. In addition, Martin-Gay's 4-step problem solving process-Understand, Translate, Solve and Interpret-is integrated throughout. Also includes new features such as Study Skills Reminders, "Integrated Reviews", and "Concept Checks." For those in need of a graphing utility resource in intermediate algebra, and for readers who need to prepare for advanced algebra or finite math.
1. Real Numbers, Algebraic Expressions and Equations.
1.1. Tips for Success in Mathematics.
1.2. Algebraic Expressions and Sets of Numbers.
1.3. Operations on Real Numbers and Properties of Real Numbers.
1.4. Solving Linear Equations Algebraically.
1.5. A Numerical Approach to Modeling with Tables.
1.6. An Introduction to Problem Solving.
1.7. Formulas and Problem Solving.
1.8. Interpreting Data and Reading Bar, Line, Circle Graphs.
2.1. Introduction to Graphing.
2.2. Introduction to Functions.
2.3. Graphing Linear Functions.
2.4. The Slope of a Line.
2.5. Equations of Lines.
2.6. Interpreting Data: Linear Models.
3.1. Solving Linear Equations Graphically.
3.2. Linear Inequalities and Problem Solving.
3.3. Compound Inequalities.
3.4. Absolute Value Equations.
3.5. Absolute Value Inequalities.
3.6. Graphing Linear Inequalities in Two Variables.
4.1. Solving Systems of Linear Equations in Two Variables.
4.2. Solving Systems of Linear Equations in Three Variables.
4.3. Systems of Linear Equations and Problem Solving.
4.4. Solving Systems of Equations by Matrices.
4.5. Solving Systems of Equations by Determinants.
5.1. Exponents and Scientific Notation.
5.2. More Work with Exponents and Scientific Notation.
5.3. Polynomials and Polynomial Functions.
5.5. The Greatest Common Factor and Factoring by Grouping.
5.6. Factoring Trinomials.
5.7. Factoring by Special Products, Integrated Review of Operations on Polynomials and Factoring Strategies
5.8. Solving Equations by Factoring and Problem Solving.
6.1. Rational Functions and Multiplying and Dividing Rational Expressions.
6.2. Adding and Subtracting Rational Expressions.
6.3. Simplifying Complex Fractions.
6.4. Dividing Polynomials.
6.5. Synthetic Division and the Remainder Theorem.
6.6. Integrated Review of Rational Expressions and Solving Equations Containing Rational Expressions.
6.7. Rational Equations and Problem Solving.
6.8. Variation and Problem Solving.
7.1. Radicals and Radical Functions.
7.2. Rational Exponents.
7.3. Simplifying Radical Expressions.
7.4. Adding, Subtracting, and Multiplying Radical Expressions.
7.5. Rationalizing Denominators and Numerators of Radical Expressions, Integrated Review of Radicals and Radical Expressions.
7.6. Radical equations and Problem Solving.
7.7. Complex Numbers.
8.1. Solving Quadratic equations by Completing the Square.
8.2. Solving Quadratic Equations by the Quadratic Formula.
8.3. Solving equations by Using Quadratic Methods, Integrated Review and Summary on Solving Quadratic Equations.
8.4. Nonlinear Inequalities in One Variable.
8.5. Quadratic Functions and Their Graphs.
8.6. Further Graphing of Quadratic Functions.
9.1. The Algebra of Functions; Composite Functions.
9.2. Inverse Functions.
9.3 Exponential Functions.
9.4. Logarithmic Functions.
9.5. Integrated Review of Functions and Properties of Logarithms.
9.6. Common Logarithms, Natural Logarithms, and Change of Base.
9.7. Exponential and Logarithmic Equations and Applications.
10.1. The Parabola and the Circle.
10.2. The Ellipse and the Hyperbola.
10.3. Solving Nonlinear Systems of Equations.
10.4. Nonlinear Inequalities and Systems of Inequalities.
11.2. Arithmetic and Geometric Sequences.
11.4. Partial Sums of Arithmetic and Geometric Sequences.
11.5. The Binomial Theorem.
A. Review of Angles, Lines, and Special Triangles.
B. Review of Geometric Figures.
C. Review of Volume and Surface Area.
D. Using a Graphing Utility.