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Beginning Algebra,9780137436262
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Beginning Algebra

by Tobey, John; Slater, Jeffrey
Edition:
4th
ISBN13:

9780137436262

ISBN10:
0137436262
Format:
Paperback
Pub. Date:
1/1/1998
Publisher(s):
Prentice Hall
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Summary

Suitable for beginning algebra courses including lecture-based classes, discussion oriented classes, self-paced classes, mathematics labs, and computer or audio-visual supported learning centers. This clear, accessible treatment of beginning algebra features an enhanced problem-solving strategy highlighted by A Mathematics Blueprint for Problem Solving that helps students determine where to begin the problem-solving process, as well as how to plan subsequent problem-solving steps. Also includes Step-by-Step Procedure, realistic Applications, and Cooperative Learning Activities in Putting Your Skills to Work Applications.

Table of Contents

Preface to the Student x
Diagnostic Pretest xx
A Brief Review of Arithmetic Skills
1(66)
Pretest Chapter 0
2(1)
Simplifying and Finding Equivalent Fractions
3(8)
Addition and Subtraction of Fractions
11(11)
Putting Your Skills to Work: The High Jump: Raising the Bar
21(1)
Multiplication and Division of Fractions
22(8)
Putting Your Skills to Work: The Stock Market
29(1)
Use of Decimals
30(11)
Putting Your Skills to Work: The Mathematics of Major World Languages
40(1)
Use of Percent
41(8)
Putting Your Skills to Work: Analysis of Car Sales in the United States
48(1)
Estimation
49(5)
Mathematics Blueprint for Problem Solving
54(13)
Chapter Organizer
60(3)
Review Problems
63(2)
Test
65(2)
Real Numbers and Variables
67(58)
Pretest Chapter 1
68(1)
Addition of Signed Numbers
69(12)
Putting Your Skills to Work: Mathematical Prediction of Future Expenses
80(1)
Subtraction of Signed Numbers
81(5)
Multiplication and Division of Signed Numbers
86(8)
Exponents
94(3)
Use the Distributive Property to Simplify Expressions
97(4)
Combine Like Terms
101(4)
Order of Arithmetic Operations
105(3)
Use Substitution to Evaluate Expressions
108(6)
Putting Your Skills to Work: Measuring Your Level of Fitness
113(1)
Grouping Symbols
114(11)
Putting Your Skills to Work: Consumer Price Index
117(1)
Chapter Organizer
118(2)
Review Problems
120(3)
Test
123(2)
Equations and Inequalities
125(54)
Pretest Chapter 2
126(1)
The Addition Principle
127(6)
The Multiplication Principle
133(6)
Using the Addition and Multiplication Principles Together
139(7)
Equations with Fractions
146(6)
Formulas
152(6)
Putting Your Skills to Work: Fuel Economy of a Car at Various Speeds
157(1)
Write and Graph Inequalities
158(5)
Solve Inequalities
163(16)
Putting Your Skills to Work: Overseas Travel
169(1)
Chapter Organizer
170(2)
Review Problems
172(3)
Test
175(2)
Comulative Test for Chapters 0-2
177(2)
Solving Applied Problems
179(60)
Pretest Chapter 3
180(2)
Translate English Phrases into Algebraic Expressions
182(6)
Use Equations to Solve Word Problems
188(9)
Solve Word Problems: Comparisons
197(6)
Solve Word Problems: The Value of Money and Percents
203(11)
Putting Your Skills to Work: Automobile Loans and Installment Loans
213(1)
Solve Word Problems Using Geometric Formulas
214(11)
Putting Your Skills to Work: A Mathematical Prediction of Rainfall
224(1)
Use Inequalities to Solve Word Problems
225(14)
Chapter Organizer
230(1)
Review Problems
231(3)
Putting Your Skills to Work: Using Mathematics for Search and Rescue
234(1)
Test
235(2)
Cumulative Test for Chapters 0-3
237(2)
Exponents and Polynomials
239(52)
Pretest Chapter 4
240(1)
The Rules of Exponents
241(10)
Negative Exponents and Scientific Notation
251(8)
Putting Your Skills to Work: The Mathematics of Forests
258(1)
Addition and Subtraction of Polynomials
259(4)
Multiplication of Polynomials
263(6)
Multiplication: Special Cases
269(7)
Putting Your Skills to Work: The Mathematics of DNA
275(1)
Division of Polynomials
276(15)
Chapter Organizer
282(2)
Review Problems
284(3)
Test
287(2)
Cumulative Test for Chapters 0-4
289(2)
Factoring
291(48)
Pretest Chapter 5
292(1)
Introduction to Factoring
293(5)
Factor by Grouping
298(4)
Factoring Trinomials of the Form x2 + bx + c
302(7)
Factoring Trinomials of the Form ax2 + bx + c
309(5)
Special Cases of Factoring
314(5)
A Brief Review of Factoring
319(3)
Solving Quadratic Equations by Factoring
322(17)
Putting Your Skills to Work: Predicting Total Earnings by a Mathematical Series
330(1)
Chapter Organizer
331(1)
Review Problems
332(2)
Putting Your Skills to Work: The Mathematics of College Enrollment
334(1)
Test
335(2)
Cumulative Test for Chapters 0-5
337(2)
Rational Expressions and Equations
339(54)
Pretest Chapter 6
340(1)
Simplify Rational Expressions
341(7)
Multiplication and Division of Rational Expressions
348(6)
Addition and Subtraction of Rational Expressions
354(10)
Putting Your Skills to Work: The Mathematics of Boating
363(1)
Simplify Complex Rational Expressions
364(5)
Equations Involving Rational Expressions
369(5)
Ratio, Proportion, and Other Applied Problems
374(19)
Putting Your Skills to Work: Mathematical Measurement of Planet Orbit Time
383(1)
Chapter Organizer
384(2)
Review Problems
386(3)
Test
389(2)
Cumulative Test for Chapters 0-6
391(2)
Graphing and Functions
393(64)
Pretest Chapter 7
394(2)
Rectangular Coordinate Systems
396(8)
Graphing Linear Equations
404(10)
Slope of a Line
414(14)
Putting Your Skills to Work: Underwater Pressure
426(2)
Obtaining the Equation of a Line
428(4)
Graphing Linear Inequalities
432(4)
Functions
436(21)
Putting Your Skills to Work: Currency Exchange Graph
446(1)
Chapter Organizer
447(2)
Review Problems
449(4)
Test
453(2)
Cumulative Test for Chapters 0-7
455(2)
Systems of Equations
457(46)
Pretest Chapter 8
458(1)
Solve a System of Equations by Graphing
459(5)
Solve a System of Equations by the Substitution Method
464(6)
Solve a System of Equations by the Addition Method
470(9)
Putting Your Skills to Work: Using Mathematics to Make Computers Faster
478(1)
Review of Methods for Solving Systems of Equations
479(5)
Solve Word Problems Using a System of Equations
484(19)
Putting Your Skills to Work: Using Mathematics to Predict the Number of Pets
492(1)
Chapter Organizer
493(2)
Review Problems
495(3)
Putting Your Skills to Work: The Mathematics of the Break Even Point
498(1)
Test
499(2)
Cumulative Test for Chapters 0-8
501(2)
Radicals
503(54)
Pretest Chapter 9
504(1)
Square Roots
505(5)
Simplify Radicals
510(5)
Addition and Subtraction of Radicals
515(4)
Multiplication of Radicals
519(5)
Division of Radicals
524(6)
The Pythagorean Theorem and Radical Equations
530(7)
Word Problems Involving Radicals: Direct and Inverse Variation
537(20)
Chapter Organizer
547(1)
Review Problems
548(4)
Putting Your Skills to Work: Car Accident Investigation
552(1)
Test
553(2)
Cumulative Test for Chapter 0-9
555(2)
Quadratic Equations
557(52)
Pretest Chapter 10
558(1)
Introduction to Quadratic Equations
559(10)
Solutions by the Square Root Property and by Completing the Square
569(6)
Solutions by the Quadratic Formula
575(6)
Graphing Quadratic Equations
581(11)
Putting Your Skills to Work: Helping the Football Coach Plan the Defense
590(2)
Formulas and Applied Problems
592(17)
Chapter Organizer
597(2)
Putting Your Skills to Work: Measuring the Depth of Snowfall
599(1)
Review Problems
600(5)
Test
605(2)
Cumulative Test for Chapters 0-10
607(2)
Practice Final Examination 609
Glossary G-1
Appendix A: Table of Square Roots A-1
Appendix B: Metric Measurement and Conversion of Units A-2
Appendix C: Interpreting Data from Tables, Charts, and Graphs A-6
Appendix D: Inductive and Deductive Reasoning A-15
Solutions to Practice Problems SP-1
Selected Answers SA-1
Index of Applications I-1
Index I-3
Photo Credits P-1


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