Schaum's Outline of Elementary Algebra (Schaum's Outline Series) / Edition 3

Schaum's Outline of Elementary Algebra (Schaum's Outline Series) / Edition 3

by Barnett Rich, Philip Schmidt
     
 

This third edition of the perennial bestseller defines the recent changes in how the discipline is taught and introduces a new perspective on the discipline. New material in this third edition includes:



A modernized section on trigonometry
An introduction to mathematical modeling
Instruction in use of the graphing calculator
2,000 solved

See more details below

Overview

This third edition of the perennial bestseller defines the recent changes in how the discipline is taught and introduces a new perspective on the discipline. New material in this third edition includes:



A modernized section on trigonometry
An introduction to mathematical modeling
Instruction in use of the graphing calculator
2,000 solved problems
3,000 supplementary practice problems and more

Product Details

ISBN-13:
9780071410830
Publisher:
McGraw-Hill Companies, The
Publication date:
01/01/2004
Series:
Schaum's Outline Series
Edition description:
Third Edition
Pages:
400
Product dimensions:
8.12(w) x 10.74(h) x 0.44(d)

Table of Contents

Chapter 1From Arithemetic to Algebra1
1.Representing Numbers by Letters1
2.Interchanging Numbers in Addition2
3.Interchanging Numbers in Multiplication3
4.Symbolizing the Operations in Algebra4
5.Expressing Addition and Subtraction Algebraically5
6.Expressing Multiplication and Division Algebraically6
7.Expressing Two or More Operations Algebraically6
8.Order in Which Fundamental Operations Are Performed8
9.The Uses of Parentheses: Changing the Order of Operations9
10.Multiplying Factors in Terms: Numerical and Literal Coefficients10
11.Repeated Multiplying of a Factor: Base, Exponent, and Power11
12.Combining Like and Unlike Terms13
Chapter 2Simple Equations and Their Solutions21
1.Kinds of Equalities: Equations and Identities21
2.Translating Verbal Statements into Equations22
3.Solving Simple Equations by Using Inverse Operations23
4.Rules of Equality for Solving Equations25
5.Using Division to Solve an Equation26
6.Using Multiplication to Solve an Equation28
7.Using Subtraction to Solve an Equation30
8.Using Addition to Solve an Equation31
9.Using Two or More Operations to Solve an Equation32
Chapter 3Signed Numbers43
1.Understanding Signed Numbers: Positive and Negative Numbers43
2.Using Number Scales for Signed Numbers44
3.Adding Signed Numbers48
4.Simplifying the Addition of Signed Numbers50
5.Subtracting Signed Numbers51
6.Multiplying Signed Numbers53
7.Finding Powers of Signed Numbers55
8.Dividing Signed Numbers56
9.Evaluating Expressions Having Signed Numbers58
Chapter 4Introduction to Monomials and Polynomials64
1.Understanding Monomials and Polynomials64
2.Adding Monomials65
3.Arranging and Adding Polynomials66
4.Subtracting Monomials67
5.Subtracting Polynomials68
6.Using Parentheses and Other Grouping Symbols to Add or Subtract Polynomials69
7.Multiplying Monomials and Powers of the Same Base71
8.Multiplying a Polynomial by a Monomial72
9.Multiplying Polynomials73
10.Dividing Powers and Monomials74
11.Dividing a Polynomial by a Monomial76
12.Dividing a Polynomial by a Polynomial77
Chapter 5First-Degree Equations86
1.Reviewing the Solution of First-Degree Equations Having Positive Roots86
2.Solving First-Degree Equations Having Negative Solutions88
3.Solving Equations by Transposing90
4.Solving Equations Containing Parentheses91
5.Solving Equations Containing One Fraction or Fractions Having the Same Denominator92
6.Solving Equations Containing Fractions Having Different Denominators: Lowest Common Denominator93
7.Solving Equations Containing Decimals95
8.Solving Literal Equations96
9.The Graphing Calculator97
Chapter 6Formulas105
1.Points and Lines105
2.Understanding Polygons, Circles, and Solids106
3.Formulas for Perimeters and Circumferences: Linear Measure111
4.Formulas for Areas: Square Measure115
5.Formulas for Volumes: Cubic Measure120
6.Deriving Formulas124
7.Transforming Formulas126
8.Finding the Value of an Unknown in a Formula128
Chapter 7Graphs of Linear Equations137
1.Understanding Graphs137
2.Graphing Linear Equations141
3.Solving a Pair of Linear Equations Graphically147
4.Deriving a Linear Equation from a Table of Values150
5.Midpoint of a Segment152
6.Distance between Two Points153
Chapter 8Introduction to Simultaneous Equations163
1.Solving a Pair of Equations by Addition or Subtraction163
2.Solving a Pair of Equations by Substitution166
Chapter 9Problem Solving and Mathematical Modeling169
1.Number Problems Having One Unknown: Introduction to Problem Solving169
2.Number Problems Having Two Unknowns171
3.Consecutive-Integer Problems173
4.Age Problems175
5.Ratio Problems176
6.Angle Problems179
7.Perimeter Problems182
8.Coin or Stamp Problems185
9.Cost and Mixture Problems187
10.Investment or Interest Problems189
11.Motion Problems191
12.Mathematical Modeling197
Chapter 10Products and Factoring213
1.Understanding Factors and Products213
2.Factoring a Polynomial Having a Common Monomial Factor214
3.Squaring a Monomial215
4.Finding the Square Root of a Monomial216
5.Finding the Product of the Sum and Difference of Two Numbers217
6.Factoring the Difference of Two Squares218
7.Finding the Product of Two Binomials with Like Terms219
8.Factoring Trinomials in Form of x[superscript 2] + bx + c221
9.Factoring a Trinomial in Form of ax[superscript 2] + bx + c222
10.Squaring a Binomial223
11.Factoring a Perfect-Square Trinomial223
12.Completely Factoring Polynomials225
13.The Variable: Direct and Inverse Variation226
14.Understanding Direct Variation: y = kx or y / x = k227
15.Understanding Inverse Variation: xy = k230
Chapter 11Fractions241
1.Understanding Fractions241
2.Changing Fractions to Equivalent Fractions243
3.Reciprocals and Their Uses244
4.Reducing Fractions to Lowest Terms246
5.Multiplying Fractions248
6.Dividing Fractions249
7.Adding or Subtracting Fractions Having the Same Denominator250
8.Adding or Subtracting Fractions Having Different Denominators251
9.Simplifying Complex Fractions253
Chapter 12Roots and Radicals262
1.Understanding Roots and Radicals262
2.Understanding Rational and Irrational Numbers264
3.Finding the Square Root of a Number by Using a Graph265
4.Finding the Square Root of a Number by Using a Table or Calculator266
5.Simplifying the Square Root of a Product267
6.Simplifying the Square Root of a Fraction269
7.Adding and Subtracting Square Roots of Numbers271
8.Multiplying Square Roots of Numbers272
9.Dividing Square Roots of Numbers273
10.Rationalizing the Denominator of a Fraction274
11.Solving Radical Equations276
Chapter 13Quadratic Equations284
1.Understanding Quadratic Equations in One Unknown284
2.Solving Quadratic Equations by Factoring285
3.Solving Incomplete Quadratic Equations287
4.Solving a Quadratic Equation by Completing the Square289
5.Solving a Quadratic Equation by Quadratic Formula291
6.Solving Quadratic Equations Graphically293
Chapter 14The Pythagorean Theorem and Similar Triangles301
1.Law of Pythagoras301
2.Proportions: Equal Ratios305
3.Similar Triangles307
Chapter 15Introduction to Trigonometry315
1.Understanding Trigonometric Ratios315
2.Trigonometric Functions of an Acute Angle315
3.Trigonometric Functions of Complementary Angles316
4.Trigonometric Functions of 30[degree], 45[degree], 60[degree]316
Chapter 16Introduction to Geometry323
1.Solving Problems Graphically323
2.Understanding the Slope of a Line324
3.Understanding Congruent Triangles326
4.Understanding Symmetry330
5.Transformations331
Appendix AReview of Arithmetic343
1.The Whole Numbers343
2.Fractions345
3.Decimals348
4.Reviewing Percents and Percentage350
Appendix BThe Use of Calculators353
1.Using a Calculator to Perform the Fundamental Operations of Arithmetic353
2.Introduction to the Graphing Calculator354
Index359

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