图书简介
Offering a uniquely modern, balanced approach, Tussy/Koenig’s INTRODUCTORY ALGEBRA, Fifth Edition, integrates the best of traditional drill and practice with the best elements of the reform movement. To many developmental math students, algebra is like a foreign language. They have difficulty translating the words, their meanings, and how they apply to problem solving. Emphasizing the “language of algebra,” the text’s fully integrated learning process is designed to expand students’ reasoning abilities and teach them how to read, write, and think mathematically. It blends instructional approaches that include vocabulary, practice, and well-defined pedagogy with an emphasis on reasoning, modeling, communication, and technology skills.
1. AN INTRODUCTION TO ALGEBRA.
1.1 The Language of Algebra. 1.2 Fractions. 1.3 The Real Numbers. 1.4 Adding Real Numbers; Properties of Addition. 1.5 Subtracting Real Numbers. 1.6 Multiplying and Dividing Real Numbers; Multiplication and Division Properties. 1.7 Exponents and Order of Operations. 1.8 Algebraic Expressions. 1.9 Simplifying Algebraic Expressions Using Properties of Real Numbers. Chapter Summary and Review. Chapter Test.
2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING.
2.1 Solving Equations Using Properties of Equality. 2.2 More about Solving Equations. 2.3 Applications of Percent. 2.4 Formulas. 2.5 Problem Solving. 2.6 More about Problem Solving. 2.7 Solving Inequalities. Chapter Summary and Review. Chapter Test. Cumulative Review.
3. GRAPHS, LINEAR EQUATIONS, AND INEQUALITIES IN TWO VARIABLES; FUNCTIONS.
3.1 Graphing Using the Rectangular Coordinate System. 3.2 Equations Containing Two Variables. 3.3 Graphing Linear Equations. 3.4 Rate of Change and the Slope of a Line. 3.5 Slope-Intercept Form. 3.6 Point-Slope Form; Writing Equations. 3.7 Graphing Linear Inequalities. 3.8 Functions. Chapter Summary and Review. Chapter Test. Cumulative Review.
4. SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES.
4.1 Solving Systems of Equations by Graphing. 4.2 Solving Systems of Equations by Substitution. 4.3 Solving Systems of Equations by Addition (Elimination). 4.4 Problem Solving Using Systems of Equations. 4.5 Solving Systems of Linear Inequalities. Chapter Summary and Review. Chapter Test. Cumulative Review.
5. EXPONENTS AND POLYNOMIALS.
5.1 Natural-Number Exponents; Rules for Exponents. 5.2 Zero and Negative Integer Exponents. 5.3 Scientific Notation. 5.4 Polynomials. 5.5 Adding and Subtracting Polynomials. 5.6 Multiplying Polynomials. 5.7 Dividing Polynomials by Monomials. 5.8 Dividing Polynomials by Polynomials. Chapter Summary and Review. Chapter Test. Cumulative Review.
6. FACTORING AND QUADRATIC EQUATIONS.
6.1 The Greatest Common Factor; Factoring by Grouping. 6.2 Factoring Trinomials of the Form _x_2 + _bx_ + _c_. 6.3 Factoring Trinomials of the Form _ax_2 + _bx_ + _c_. 6.4 Factoring Perfect-Square Trinomials and the Difference of Two Squares. 6.5 Factoring the Sum and Difference of Two Cubes. 6.6 A Factoring Strategy. 6.7 Solving Quadratic Equations bu Factoring. 6.8 Applications of Quadratic Equations. Chapter Summary and Review. Chapter Test. Cumulative Review.
7. RATIONAL EXPRESSIONS AND EQUATIONS.
7.1 Simplifying Rational Expressions. 7.2 Multiplying and Dividing Rational Expressions. 7.3 Adding and Subtracting with Like Denominators; Least Common Denominators. 7.4 Adding and Subtracting with Unlike Denominators. 7.5 Simplifying Complex Fractions. 7.6 Solving Rational Equations. 7.7 Problem Solving Using Rational Equations. 7.8 Proportions and Similar Triangles. 7.9 Variation. Chapter Summary and Review. Chapter Test. Cumulative Review.
8. ROOTS AND RADICALS.
8.1 Square Roots. 8.2 Higher-Order Roots; Radicands That Contain Variables. 8.3 Simplifying Radical Expressions. 8.4 Adding and Subtracting Radical Expressions. 8.5 Multiplying and Dividing Radical Expressions. 8.6 Solving Radical Equations; the Distance Formula. 8.7 Rational Exponents. Chapter Summary and Review. Chapter Test. Cumulative Review.
9. QUADRATIC EQUATIONS.
9.1 Solving Quadratic Equations: The Square Root Property. 9.2 Solving Quadratic Equations: Completing the Square. 9.3 Solving Quadratic Equations: The Quadratic Formula. 9.4 Graphing Quadratic Equations. 9.5 Complex Numbers. Chapter Summary and Review. Chapter Test. Cumulative Review. Appendix 1 Statistics. Appendix 2 Roots and Powers.
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