| |
| |
Index of Applications | |
| |
| |
Index of Study Tips | |
| |
| |
Preface | |
| |
| |
Prealgebra Review | |
| |
| |
| |
Factoring and LCMs | |
| |
| |
| |
Fraction Notation | |
| |
| |
| |
Decimal Notation | |
| |
| |
| |
Percent Notation | |
| |
| |
| |
Exponential Notation and Order of Operations | |
| |
| |
| |
Geometry | |
| |
| |
Summary and Review | |
| |
| |
Test | |
| |
| |
| |
Introduction to Real Numbers and Algebraic Expressions | |
| |
| |
| |
Introduction to Algebra | |
| |
| |
| |
The Real Numbers | |
| |
| |
| |
Addition of Real Numbers | |
| |
| |
| |
Subtraction of Real Numbers | |
| |
| |
| |
Multiplication of Real Numbers | |
| |
| |
| |
Division of Real Numbers | |
| |
| |
| |
Properties of Real Numbers | |
| |
| |
| |
Simplifying Expressions; Order of Operations | |
| |
| |
Summary and Review | |
| |
| |
Test | |
| |
| |
| |
Solving Equations and Inequalities | |
| |
| |
| |
Solving Equations: The Addition Principle | |
| |
| |
| |
Solving Equations: The Multiplication Principle | |
| |
| |
| |
Using the Principles Together | |
| |
| |
| |
Formulas | |
| |
| |
| |
Applications of Percent | |
| |
| |
| |
Applications and Problem Solving | |
| |
| |
Translating for Success | |
| |
| |
| |
Solving Inequalities | |
| |
| |
| |
Applications and Problem Solving with Inequalities | |
| |
| |
Summary and Review | |
| |
| |
Test | |
| |
| |
Cumulative Review: Chapters 1-2 | |
| |
| |
| |
Graphs of Linear Equations | |
| |
| |
| |
Graphs and Applications of Linear Equations | |
| |
| |
| |
More with Graphing and Intercepts | |
| |
| |
Visualizing for Success | |
| |
| |
| |
Slope and Applications | |
| |
| |
| |
Equations of Lines | |
| |
| |
| |
Graphing Using the Slope and the y-Intercept | |
| |
| |
| |
Parallel and Perpendicular Lines | |
| |
| |
| |
Graphing Inequalities in Two Variables | |
| |
| |
Visualizing for Success | |
| |
| |
Summary and Review | |
| |
| |
Test | |
| |
| |
| |
Polynomials: Operations | |
| |
| |
| |
Integers as Exponents | |
| |
| |
| |
Exponents and Scientific Notation | |
| |
| |
| |
Introduction to Polynomials | |
| |
| |
| |
Addition and Subtraction of Polynomials | |
| |
| |
| |
Multiplication of Polynomials | |
| |
| |
| |
Special Products | |
| |
| |
Visualizing for Success | |
| |
| |
| |
Operations with Polynomials in Several Variables | |
| |
| |
| |
Division of Polynomials | |
| |
| |
Summary and Review | |
| |
| |
Test | |
| |
| |
Cumulative Review: Chapters 1-4 | |
| |
| |
| |
Polynomials: Factoring | |
| |
| |
| |
Introduction to Factoring | |
| |
| |
| |
Factoring Trinomials of the Type x[superscript 2] + bx + c | |
| |
| |
| |
Factoring ax[superscript 2] + bx + c, a [not equal] 1: The FOIL Method | |
| |
| |
| |
Factoring ax[superscript 2] + bx + c, a [not equal] 1: The ac-Method | |
| |
| |
| |
Factoring Trinomial Squares and Differences of Squares | |
| |
| |
| |
Factoring: A General Strategy | |
| |
| |
| |
Solving Quadratic Equations by Factoring | |
| |
| |
| |
Applications of Quadratic Equations | |
| |
| |
Translating for Success | |
| |
| |
Summary and Review | |
| |
| |
Test | |
| |
| |
| |
Rational Expressions and Equations | |
| |
| |
| |
Multiplying and Simplifying Rational Expressions | |
| |
| |
| |
Division and Reciprocals | |
| |
| |
| |
Least Common Multiples and Denominators | |
| |
| |
| |
Adding Rational Expressions | |
| |
| |
| |
Subtracting Rational Expressions | |
| |
| |
| |
Solving Rational Equations | |
| |
| |
| |
Applications Using Rational Equations and Proportions | |
| |
| |
Translating for Success | |
| |
| |
| |
Complex Rational Expressions | |
| |
| |
| |
Direct and Inverse Variation | |
| |
| |
Summary and Review | |
| |
| |
Test | |
| |
| |
Cumulative Review: Chapters 1-6 | |
| |
| |
| |
Systems of Equations | |
| |
| |
| |
Systems of Equations in Two Variables | |
| |
| |
| |
The Substitution Method | |
| |
| |
| |
The Elimination Method | |
| |
| |
| |
Applications and Problem Solving | |
| |
| |
| |
Applications with Motion | |
| |
| |
Translating for Success | |
| |
| |
Summary and Review | |
| |
| |
Test | |
| |
| |
| |
Radical Expressions and Equations | |
| |
| |
| |
Introduction to Radical Expressions | |
| |
| |
| |
Multiplying and Simplifying with Radical Expressions | |
| |
| |
| |
Quotients Involving Radical Expressions | |
| |
| |
| |
Addition, Subtraction, and More Multiplication | |
| |
| |
| |
Radical Equations | |
| |
| |
| |
Applications with Right Triangles | |
| |
| |
Translating for Success | |
| |
| |
Summary and Review | |
| |
| |
Test | |
| |
| |
Cumulative Review: Chapters 1-8 | |
| |
| |
| |
Quadratic Equations | |
| |
| |
| |
Introduction to Quadratic Equations | |
| |
| |
| |
Solving Quadratic Equations by Completing the Square | |
| |
| |
| |
The Quadratic Formula | |
| |
| |
| |
Formulas | |
| |
| |
| |
Applications and Problem Solving | |
| |
| |
Translating for Success | |
| |
| |
| |
Graphs of Quadratic Equations | |
| |
| |
Visualizing for Success | |
| |
| |
| |
Functions | |
| |
| |
Summary and Review | |
| |
| |
Test | |
| |
| |
Cumulative Review/Final Examination: Chapters 1-9 | |
| |
| |
Appendixes | |
| |
| |
| |
Factoring Sums or Differences of Cubes | |
| |
| |
| |
Finding Equations of Lines: Point-Slope Equation | |
| |
| |
| |
Higher Roots | |
| |
| |
| |
Sets | |
| |
| |
| |
Mean, Median, and Mode | |
| |
| |
Answers (Student Edition only) | |
| |
| |
Photo Credits | |
| |
| |
Glossary | |
| |
| |
Index | |