Beginning and Intermediate Algebra

9780130909497

0130909491

1. Real Numbers and Variables. Addition of Real Numbers. Subtraction of Real Numbers. Multiplication and Division of Real Numbers. Exponents. Order of Arithmetic Operations. Using the Distributive Property to Simplify Expressions. Combining Like Terms. Using Substitution to Evaluate Expressions and Formulas. Putting Your Skills to Work: Measuring Your Level of Fitness. Grouping Symbols. Putting Your Skills to Work: Consumer Price Index. 2. Equations, Inequalities and Applications. The Addition Principle. The Multiplication Principle. Using the Addition and Multiplication Principles Together. Equations with Fractions. Formulas. Putting Your Skills to Work: Controlling Emissions Levels. Writing and Graphing Inequalities. Solving Inequalities. Solving Word Problems: Comparison. Solving Word Problems: The Value of Money and Percents. Putting Your Skills to Work: Automobile Loans and Installment Loans. 3. Graphs and Functions. Rectangular Coordinate Systems. Graphing Linear Equations. Slope of a Line. Putting Your Skills to work: Underwater Pressure. Obtaining the Equation of a Line. Graphing Linear Inequalities. Functions. Putting Your Skills to Work: Graphing the Size of Rain Forests. 4. Systems of Linear Equations and Inequalities. Systems of Equations in Two Variables. Putting Your Skills to Work: Endangered Species. Systems of Equations in Three Variables. Applications of Systems of Linear Equations. Systems of Linear Inequalities. 5. Exponents and Polynomials. The Rules of Exponents. Negative Exponents and Scientific Notation. Putting Your Skills to Work: The Mathematics of Forests. Fundamental Polynomial Operations. Multiplication of Polynomials. Multiplication: Special Cases. Putting Your Skills to Work: The Mathematics of DNA. Division of Polynomials. Putting Your Skills to Work: The Enrollment Polynomial. 6. Factoring. Introduction to Factoring. Factor by Grouping. Factoring Trinomials of the Form x^2 + bx + c. Factoring Trinomials of the Form ax^2 + bx + c. Special Cases of Factoring. A Brief Review of Factoring. Solving Quadratic Equations by Factoring. Putting Your Skills to Work: Predicting Total Earning by a Mathematical Series. 7. Rational Expressions and Equations. Simplifying Rational Expressions. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Putting Your Skills to Work: Estimating the Surplus or Deficit. Simplifying Complex Rational Expressions. Equations Involving Rational Expressions. Ratio, Proportion, and Other Applied Problems. Putting Your Skills to Work: Mathematical Measurement of Planet Orbit Time. 8. Rational Exponents and Radicals. Rational Exponents. Radical Expressions and Functions. Simplifying, Adding, and Subtracting Radicals. Multiplication and Division of Radicals. Radical Equations. Complex Numbers. Variation. Putting Your Skills to Work: The Sailor''s Observation Formula. 9. Quadratic Equations, Inequalities, and Absolute Value. Quadratic Equations. The Quadratic Formula and Solutions to Quadratic Equations. Equations That Can Be Transformed to Quadratic Form. Formulas and Applications. Quadratic Functions. Quadratic Inequalities in One Variable. Putting Your Skills to Work: The Mathematics of the Hoover Dam. Absolute Value Equations. Absolute Value Inequalities. 10. The Conic Sections. The Distance Formula and the Circle. The Parabola. The Ellipse. The Hyperbola. Nonlinear Systems of Equations. Putting Your Skills to Work: Locating the Center of an Earthquake Mathematically. 11. An Advanced Look at Functions. Function Notation. General Graphing Procedures for Functions. Algebraic Operations on Functions. Inverse of a Function. Putting Your Skills to Work: Using Polynomial Functions for Mathematical Modeling. 12. Logarithmic and Exponential Functions. The Exponential Function. The Logarithmic Function. Properties of Logarithms. Finding Logarithmic Function Values on a Calculator. Exponential and Logarithmic Equations. Putting Your Skills to Work: Newton''s Law of Cooling.