9780201729627

Elementary and Intermediate Algebra

by ; ;
  • ISBN13:

    9780201729627

  • ISBN10:

    0201729628

  • Format: Hardcover
  • Copyright: 1/1/2005
  • Publisher: Addison Wesley
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Summary

Elementary and Intermediate Algebra is a book for the student. The authors' goal is to help build students' confidence, their understanding and appreciation of math, and their basic skills by presenting an extremely user-friendly text that models a framework in which students can succeed. Unfortunately, students who place into developmental math courses often struggle with math anxiety due to bad experiences in past math courses. Developmental students often have never developed nor applied a study system in mathematics. To address these needs, the authors have framed three goals for Elementary and Intermediate Algebra: 1) reduce math anxiety, 2) teach for understanding, and 3) foster critical thinking and enthusiasm. The authors' writing style is extremely student friendly. They talk to students in their own language and walk them through the concepts, explaining not only how to do the math, but also why it works and where it comes from, rather than using the "monkey-see, monkey-do" approach that some books take.

Table of Contents

Preface vi
To the Student xiii
Learning Styles Inventory xix
Foundations of Algebra
1(102)
Number Sets and the Structure of Algebra
2(11)
Fractions
13(14)
Adding and Subtracting Real Numbers; Properties of Real Numbers
27(16)
Multiplying and Dividing Real Numbers; Properties of Real Numbers
43(16)
Exponents, Roots, and Order of Operations
59(14)
Translating Word Phrases to Expressions
73(8)
Evaluating and Rewriting Expressions
81(22)
Summary
91(6)
Review Exercises
97(4)
Practice Test
101(2)
Solving Linear Equations and Inequalities
103(88)
Equations, Formulas, and the Problem-Solving Process
104(15)
The Addition Principle
119(14)
The Multiplication Principle
133(14)
Applying the Principles to Formulas
147(7)
Translating Word Sentences to Equations
154(12)
Solving Linear Inequalities
166(25)
Summary
180(5)
Review Exercises
185(4)
Practice Test
189(2)
Problem Solving
191(76)
Ratios and Proportions
192(15)
Percents
207(15)
Problems with Two or More Unknowns
222(14)
Rates
236(8)
Investment and Mixture
244(23)
Summary
252(5)
Review Exercises
257(5)
Practice Test
262(2)
Chapters 1--3 Cumulative Review Exercises
264(3)
Graphing Linear Equations and Inequalities
267(110)
The Rectangular Coordinate System
268(10)
Graphing Linear Equations
278(12)
Graphing Using Intercepts
290(10)
Slope-Intercept Form
300(16)
Point-Slope Form
316(12)
Graphing Linear Inequalities
328(11)
Introduction to Functions and Function Notation
339(38)
Summary
359(8)
Review Exercises
367(7)
Practice Test
374(3)
Polynomials
377(86)
Exponents and Scientific Notation
378(12)
Introduction to Polynomials
390(12)
Adding and Subtracting Polynomials
402(11)
Exponent Rules and Multiplying Monomials
413(12)
Multiplying Polynomials; Special Products
425(12)
Exponent Rules and Dividing Polynomials
437(26)
Summary
454(3)
Review Exercises
457(4)
Practice Test
461(2)
Factoring
463(82)
Greatest Common Factor and Factoring by Grouping
464(13)
Factoring Trinomials of the Form x2 + bx + c
477(7)
Factoring Trinomials of the Form ax2 + bx + c, where a ≠ 1
484(9)
Factoring Special Products
493(9)
Strategies for Factoring
502(6)
Solving Quadratic Equations by Factoring
508(12)
Graphs of Quadratic Equations and Functions
520(25)
Summary
532(5)
Review Exercises
537(3)
Practice Test
540(1)
Chapters 1--6 Cumulative Review Exercises
541(4)
Rational Expressions and Equations
545(98)
Simplifying Rational Expressions
546(15)
Multiplying and Dividing Rational Expressions
561(11)
Adding and Subtracting Rational Expressions with the Same Denominator
572(7)
Adding and Subtracting Rational Expressions with Different Denominators
579(12)
Complex Rational Expressions
591(11)
Solving Equations Containing Rational Expressions
602(12)
Applications with Rational Expressions
614(29)
Summary
629(6)
Review Exercises
635(5)
Practice Test
640(3)
More on Inequalities, Absolute Value, and Functions
643(66)
Compound Inequalities
644(15)
Equations Involving Absolute Value
659(5)
Inequalities Involving Absolute Value
664(9)
Functions and Graphing
673(16)
Function Operations
689(20)
Summary
697(5)
Review Exercises
702(5)
Practice Test
707(2)
Systems of Equations
709(108)
Solving Systems of Linear Equations Graphically
710(12)
Solving Systems of Linear Equations by Substitution
722(14)
Solving Systems of Linear Equations by Elimination
736(18)
Solving Systems of Linear Equations in Three Variables
754(13)
Solving Systems of Linear Equations Using Matrices
767(11)
Cramer's Rule
778(10)
Solving Systems of Linear Inequalities
788(29)
Summary
799(6)
Review Exercises
805(5)
Practice Test
810(2)
Chapters 1--9 Cumulative Review Exercises
812(5)
Rational Exponents, Radicals, and Complex Numbers
817(86)
Radical Expressions and Functions
818(12)
Rational Exponents
830(12)
Multiplying, Dividing, and Simplifying Radicals
842(10)
Adding, Subtracting, and Multiplying Radical Expressions
852(9)
Rationalizing Numerators and Denominators of Radical Expressions
861(11)
Radical Equations and Problem Solving
872(10)
Complex Numbers
882(21)
Summary
890(7)
Review Exercises
897(5)
Practice Test
902(1)
Quadratic Equations
903(80)
Completing the Square
904(15)
Solving Quadratic Equations Using the Quadratic Formula
919(14)
Solving Equations That Are Quadratic in Form
933(10)
Graphing Quadratic Functions
943(15)
Solving Nonlinear Inequalities
958(25)
Summary
971(5)
Review Exercises
976(4)
Practice Test
980(3)
Exponential and Logarithmic Functions
983(84)
Composite and Inverse Functions
984(15)
Exponential Functions
999(12)
Logarithmic Functions
1011(10)
Properties of Logarithms
1021(9)
Common and Natural Logarithms
1030(7)
Exponential and Logarithmic Equations with Applications
1037(30)
Summary
1050(9)
Review Exercises
1059(6)
Practice Test
1065(2)
Conic Sections
1067
The Parabola and the Circle
1068(16)
Ellipses and Hyperbolas
1084(15)
Nonlinear Systems of Equations
1099(8)
Nonlinear Inequalities and Systems of Inequalities
1107
Summary
1116(8)
Review Exercises
1124(6)
Practice Test
1130(3)
Chapters 1--13 Cumulative Review Exercises
1133
Appendices A--E 1(1)
Answers 1(1)
Glossary 1(1)
Index 1(1)
Photograph Credits 1

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