Elementary Intermediate Algebra – Tussy & Gustafson – 4th Edition

1. A REVIEW OF BASIC ALGEBRA.
The Language of Algebra. The Real Numbers. Operations with Real Numbers. Simplifying Algebraic Expressions Using Properties of Real Numbers. Solving Linear Equations Using Properties of Equality. Solving Formulas; Geometry. Using Equations to Solve Problems. More About Problem Solving. Chapter Summary and Review. Chapter Test. Cumulative Review.

2. GRAPHS, EQUATIONS OF LINES, AND FUNCTIONS.
The Rectangular Coordinate System. Graphing Linear Equations. Rate of Change and the Slope of a Line. Writing Equations of Lines. An Introduction to Functions. Graphs of Functions. Chapter Summary and Review. Chapter Test. Cumulative Review.

3. SYSTEMS OF EQUATIONS.
Solving Systems by Graphing. Solving Systems Algebraically. Problems Solving Using Systems of Two Equations. Solving Systems of Equations in Three Variables. Problem Solving Using Systems of Three Equations. Solving Systems of Equations Using Matrices. Solving Systems Using Determinants. Chapter Summary and Review. Chapter Test. Cumulative Review.

4. INEQUALITIES.
Solving Linear Inequalities in One Variable. Solving Compound Inequalities. Solving Absolute Value Equations and Inequalities. Linear Inequalities in Two Variables. Systems of Linear Inequalities. Chapter Summary and Review. Chapter Test. Cumulative Review.

5. EXPONENTS, POLYNOMIALS, AND POLYNOMIAL FUNCTIONS.
Exponents. Scientific Notation. Polynomials and Polynomial Functions. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. The Difference of Two Squares; The Sum and Difference of Two Cubes. Factoring Trinomials. Summary of Factoring Techniques. Solving Equations by Factoring. Chapter Summary and Review. Chapter Test. Cumulative Review.

6. RATIONAL EXPRESSIONS AND EQUATIONS.
Rational Functions and Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Simplifying Complex Fractions. Dividing Polynomials. Synthetic Division. Solving Rational Equations. Problem Solving Using Rational Equations. Proportion and Variation. Chapter Summary and Review. Chapter Test. Cumulative Review.

7. RADICAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS.
Radical Expressions and Radical Functions. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Radical Equations. Rational Exponents. Geometric Applications of Radicals. Chapter Summary and Review. Chapter Test. Cumulative Review.

8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES.
Square Root Property and Completing the Square. The Quadratic Formula. Quadratic Functions and Their Graphs. The Discriminant and Equations That Can Be Written in Quadratic Form. Quadratic and Other Nonlinear Inequalities. Chapter Summary and Review. Chapter Test. Cumulative Review.

9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Algebra and Composition of Functions. Inverses of Functions. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Base-e Logarithms. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter Summary and Review. Chapter Test. Cumulative Review.

10. CONIC SECTIONS; MORE GRAPHING.
The Circle and Parabola. The Ellipse. The Hyperbola. Solving Nonlinear Systems of Equations. Chapter Summary and Review. Chapter Test. Cumulative Review.

Appendix I: Roots and Powers.
Appendix II: Answers to Selected Exercises.