Elementary Algebra

by Carson, Tom; Gillespie, Ellyn

• ISBN13: 9780201771633
• ISBN10: 0201771632
• Edition: Teacher
• Format: Hardcover
• Copyright: 2003-08-01
• Publisher: Pearson College Div

Summary

While using Elementary Algebra, Second Edition, you will find that the text focuses on building competence and confidence. The authors present the concepts, show how to do the math, and explain the reasoning behind it in a language you can understand. The text ties concepts together using the Algebra Pyramid, which will help you see the big picture of algebra. The skills Carson presents through both the Learning Strategy boxes and the Study System, introduced in the Preface and incorporated throughout the text, will not only enhance your elementary algebra experience but will also help you succeed in future college courses. Book jacket.

Table of Contents

Preface	p. vii
To the Student	p. xvii
Learning Styles Inventory	p. xxiii
Foundations of Algebra	p. 1
Number Sets and the Structure of Algebra	p. 2
Fractions	p. 11
Adding and Subtracting Real Numbers; Properties of Real Numbers	p. 24
Multiplying and Dividing Real Numbers; Properties of Real Numbers	p. 41
Exponents, Roots, and Order of Operations	p. 56
Translating Word Phrases to Expressions	p. 70
Evaluating and Rewriting Expressions	p. 78
Summary	p. 89
Review Exercises	p. 95
Practice Test	p. 99
Solving Linear Equations and Inequalities	p. 101
Equations, Formulas, and the Problem-Solving Process	p. 102
The Addition Principle	p. 118
The Multiplication Principle	p. 132
Applying the Principles to Formulas	p. 147
Translating Word Sentences to Equations	p. 153
Solving Linear Inequalities	p. 164
Summary	p. 177
Review Exercises	p. 182
Practice Test	p. 186
Problem Solving	p. 189
Ratios and Proportions	p. 190
Percents	p. 205
Problems with Two or More Unknowns	p. 221
Rates	p. 236
Investment and Mixture	p. 244
Summary	p. 252
Review Exercises	p. 257
Practice Test	p. 262
Chapters 1-3 Cumulative Review Exercises	p. 264
Graphing Linear Equations and Inequalities	p. 267
The Rectangular Coordinate System	p. 268
Graphing Linear Equations	p. 277
Graphing Using Intercepts	p. 289
Slope-Intercept Form	p. 299
Point-Slope Form	p. 313
Graphing Linear Inequalities	p. 327
Introduction to Functions and Function Notation	p. 337
Summary	p. 355
Review Exercises	p. 363
Practice Test	p. 370
Polynomials	p. 373
Exponents and Scientific Notation	p. 374
Introduction to Polynomials	p. 387
Adding and Subtracting Polynomials	p. 400
Exponent Rules and Multiplying Monomials	p. 411
Multiplying Polynomials; Special Products	p. 423
Exponent Rules and Dividing Polynomials	p. 435
Summary	p. 451
Review Exercises	p. 454
Practice Test	p. 458
Factoring	p. 459
Greatest Common Factor and Factoring by Grouping	p. 460
Factoring Trinomials of the Form x[superscript 2] + bx + c	p. 471
Factoring Trinomials of the Form ax[superscript 2] + bx + c, where a [not equal] 1	p. 478
Factoring Special Products	p. 487
Strategies for Factoring	p. 496
Solving Quadratic Equations by Factoring	p. 502
Graphs of Quadratic Equations and Functions	p. 515
Summary	p. 525
Review Exercises	p. 530
Practice Test	p. 533
Chapters 1-6 Cumulative Review Exercises	p. 534
Rational Expressions and Equations	p. 537
Simplifying Rational Expressions	p. 538
Multiplying and Dividing Rational Expressions	p. 552
Adding and Subtracting Rational Expressions with the Same Denominator	p. 563
Adding and Subtracting Rational Expressions with Different Denominators	p. 570
Complex Rational Expressions	p. 582
Solving Equations Containing Rational Expressions	p. 591
Applications with Rational Expressions	p. 601
Summary	p. 615
Review Exercises	p. 622
Practice Test	p. 626
Systems of Equations	p. 629
Solving Systems of Linear Equations Graphically	p. 630
Solving Systems of Linear Equations by Substitution	p. 641
Solving Systems of Linear Equations by Elimination	p. 652
More Applications with Systems of Equations	p. 664
Solving Systems of Linear Inequalities	p. 678
Summary	p. 688
Review Exercises	p. 693
Practice Test	p. 697
Roots and Radicals	p. 699
Square Roots and Radical Expressions	p. 700
Multiplying and Simplifying Square Roots	p. 710
Dividing and Simplifying Square Roots	p. 716
Adding and Subtracting Square Roots	p. 727
Solving Radical Equations	p. 738
Higher Roots and Rational Exponents	p. 748
Summary	p. 760
Review Exercises	p. 764
Practice Test	p. 769
Chapters 1-9 Cumulative Review Exercises	p. 770
Quadratic Equations	p. 773
The Square Root Principle	p. 774
Solving Quadratic Equations by Completing the Square	p. 785
Solving Quadratic Equations Using the Quadratic Formula	p. 794
Complex Numbers	p. 806
Graphing Quadratic Equations	p. 815
Summary	p. 830
Review Exercises	p. 835
Practice Test	p. 839
Chapters 1-10 Cumulative Review Exercises	p. 841
Answers (Student edition only)	p. 1
Glossary	p. 1
Index	p. 1
Applications Index	p. 1
Photograph Credits	p. 1
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