Elementary algebra
著者
書誌事項
Elementary algebra
Cengage Learning, c2015
10th ed., Student ed
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注記
Includes index
内容説明・目次
内容説明
Kaufmann and Schwitters have built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; practice the skill to help solve equations; and then apply what you have learned to solve application problems. This simple, straightforward approach has helped many students grasp and apply fundamental problem solving skills necessary for future mathematics courses. Algebraic ideas are developed in a logical sequence, and in an easy-to-read manner, without excessive vocabulary and formalism.
The open and uncluttered design helps keep students focused on the concepts while minimizing distractions. Problems and examples reference a broad range of topics, as well as career areas such as electronics, mechanics, and health, showing students that mathematics is part of everyday life.
The text's resource package anchored by Enhanced WebAssign, an online homework management tool saves instructors time while also providing additional help and skill-building practice for students outside of class.
目次
1. SOME BASIC CONCEPTS OF ARITHMETIC AND ALGEBRA.
Numerical and Algebraic Expressions. Prime and Composite Numbers. Integers: Addition and Subtraction. Integers: Multiplication and Division. Use of Properties. Chapter 1 Summary. Chapter 1 Review Problem Set. Chapter 1 Test.
2. REAL NUMBERS.
Rational Numbers: Multiplication and Division. Addition and Subtraction of Rational Numbers. Real Numbers and Algebraic Expressions. Exponents. Translating from English to Algebra. Chapter 2 Summary. Chapter 2 Review Problem Set. Chapter 2 Test. Chapters 1-2 Cumulative Review Problem Set.
3. EQUATIONS AND PROBLEM SOLVING.
Solving First-Degree Equations. Equations and Problem Solving. More on Solving Equations and Problem Solving. Equations Involving Parentheses and Fractional Forms. Problem Solving. Chapter 3 Summary. Chapter 3 Review Problem Set. Chapter 3 Test.
4. PROPORTIONS, PERCENT, AND INEQUALITIES.
Ratios, Proportions, and Percent. Percents and Problem Solving. More on Percents and Problem Solving. Inequalities. Inequalities, Compound Inequalities, and Problem Solving. Chapter 4 Summary. Chapter 4 Review Problem Set. Chapter 4 Test. Chapters 1-4 Cumulative Review Problem Set.
5. EXPONENTS AND POLYNOMIALS.
Addition and Subtraction of Polynomials. Multiplying Monomials. Multiplying Polynomials. Dividing by Monomials. Dividing by Binomials. Integral Exponents and Scientific Notation. Chapter 5 Summary. Chapter 5 Review Problem Set. Chapter 5 Test. Chapters 105 Cumulative Review Problem Set.
6. FACTORING, SOLVING EQUATIONS, AND PROBLEM SOLVING.
Factoring by Using the Distributive Property. Factoring the Difference of Two Squares. Factoring Trinomials of the Form ax^2 + bx + c. Factoring Trinomials of the Form ax^2 + bx + c. Factoring, Solving Equations, and Problem Solving. Chapter 6 Summary. Chapter 6 Review Problem Set. Chapter 6 Test.
7. ALGEBRAIC FRACTIONS.
Simplifying Algebraic Fractions. Multiplying and Dividing Algebraic Fractions. Adding and Subtracting Algebraic Fractions. Addition and Subtraction of Algebraic Fractions and Simplifying Complex Fractions. Fractional Equations and Problem Solving. More Fractional Equations and Problem Solving. Chapter 7 Summary. Chapter 7 Review Problem Set. Chapter 7 Test. Chapters 1-7 Cumulative Review Problem Set.
8. COORDINATE GEOMETRY AND LINEAR SYSTEMS.
Cartesian and Coordinate System. Graphing Linear Equations. Slope of a Line. Writing Equations of Lines. Systems of Two Linear Equations. Elimination-by-Addition Method. Chapter 8 Summary. Chapter 8 Review Problem Set. Chapter 8 Test.
9. ROOTS AND RADICALS.
Roots and Radicals. Simplifying Radicals. More on Simplifying Radicals. Products and Quotients Involving Radicals. Solving Radical Equations. Chapter 9 Summary. Chapter 9 Review Problem Set. Chapter 9 Test. Chapters 1-9 Cumulative Review Problem Set.
10. QUADRATIC EQUATIONS.
Quadratic Equations. Completing the Square. Quadratic Formula. Solving Quadratic Equations Which Method?. Solving Problems Using Quadratic Equations. Chapter 10 Summary. Chapter 10 Review Problem Set. Chapter 10 Test.
11. ADDITIONAL TOPICS.
Equations and Inequalities Involving Absolute Value. 3 X 3 Systems of Equations. Fractional Exponents. Complex Numbers. Quadratic Equations: Complex Solutions. Pie, Bar, and Line Graphs. Relations and Functions. Applications of Functions. Chapter 11 Summary. Chapter 11 Review Problem Set. Chapter 11 Test.
APPENDIX A EXTRA WORD PROBLEMS. ANSWER SECTION. INDEX.
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