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ALGEBRA 1
(TEXTBOOK)
Over 6,000 exercises and problems. Includes chapter reviews and tests
for only $36 or buy both (DVD set and Textbook)
for $69.95
($80 if bought separately)

Inspired by NCTM* recommendations, its emphasis is on continuity. From simple English-Math translations to variability, graphing, linearity, and quadratics to prepare students for transition into Geometry and Algebra II. All of this while also reviewing important ancillary topics such as measurements and ratios, and introducing geometric concepts and data analysis.


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Table of Contents
Why Study Algebra?     1
Chapter 1: Working with Numbers and Variables     6       (Click here to review PDF excerpts of Chapter 1)
What Is a Variable?     7
1.1 Turning Plain English into Algebra     8
1.2 Order of Operations     11
1.3 Arithmetic and Geometric Sequences     13
1.4 The Properties of Algebra     15
1.5 Ratios, Proportion and Percent     17
1.6 The Number Line     21
Chapter Review     24
Chapter Test     25

Chapter 2: Introduction to Equations     26       (Click here to review PDF excerpts of Chapter 2)
Mayan Mathematics     27
2.1 Equations: Addition and Subtraction     28
2.2 Equations: Multiplication and Division     30
2.3 Equations: Two or More Steps     32
2.4 Formulas     34
Chapter Review     36
Chapter Test     37

Chapter 3: Linear Equations     38       (Click here to review PDF excerpts of Chapter 3)
Who Invented the Computer?     39
3.1 Coordinate Plane     40
3.2 From Linear Pattern to Equation     42
3.3 The Slope     46
3.4 Parallel and Intersecting Slopes     52
3.5 From Equation to Line, from Line to Equation     55
3.6 Linear Models     58
Chapter Review     60
Chapter Test     62

Chapter 4: Inequalities     64       (Click here to review PDF excerpts of Chapter 4)
Vannevar Bush, Internet Pioneer     65
4.1 Inequalities     66
4.2 Absolute Values     71
4.3 Graphing Inequalities with Two Variables     75
Chapter Review     78
Chapter Test     80

Chapter 5: Systems of Equations     82       (Click here to review PDF excerpts of Chapter 5)
Babylonian Mathematics     83
5.1 Systems of Equations: Solve by Graphing     84
5.2 Systems of Equations: Solve by Substitution     86
5.3 Systems of Equations: Solve by Addition     88
5.4 Systems of Equations and Problem Solving     90
5.5 Graphing Systems of Inequalities     93
Chapter Review     96
Chapter Test     97

Chapter 6: Polynomials     98       (Click here to review PDF excerpts of Chapter 6)
How to Play the Stock Market     99
6.1 Monomials: Multiplication and Division     100
6.2 Polynomials     102
6.3 Addition and Subtraction of Polynomials     105
6.4 Multiplication of Polynomials     108
Chapter Review     111
Chapter Test     113

Chapter 7: Factoring     114       (Click here to review PDF excerpts of Chapter 7)
How Does GPS Work?     115
7.1 Common Factors in Polynomials     116
7.2 Difference of Two Squares     118
7.3 Perfect Trinomial Squares     120
7.4 Factoring Trinomials: (x^2 + bx + c)     122
7.5 Factoring Trinomials: (ax^2 + bx + c)     124
7.6 Factoring by Grouping     126
Chapter Review     128
Chapter Test     129

Chapter 8: Radicals     130       (Click here to review PDF excerpts of Chapter 8)
Flying with Bernoulli     131
8.1 Simplifying Radical Expressions     132
8.2 Operations with Radical Expressions     136
8.3 Radical Equations     139
8.4 The Pythagorean Theorem     141
8.5 The Distance Formula     143
Chapter Review     144
Chapter Test     146

Chapter 9: Quadratics     147       (Click here to review PDF excerpts of Chapter 9)
Artificial Body Parts     148
9.1 Solving Quadratic Equations by Factoring     149
9.2 Completing the Square     152
9.3 The Quadratic Formula     155
9.4 Exponential Functions (Growth and Decay)     158
Chapter Review     161
Chapter Test     162

Chapter 10: Rational Numbers     163       (Click here to review PDF excerpts of Chapter 10)
The History of Chess     164
10.1 Rational Expressions     165
10.2 Multiplying Rational Expressions     167
10.3 Dividing Rational Expressions     168
10.4 Dividing Polynomials     169
10.5 Addition and Subtraction of Rational Expressions with Like Denominators     172
10.6 Addition and Subtraction of Rational Expressions with Different Denominators     174
10.7 Rational Equations     177
10.8 Complex Fractions     179
Chapter Review     181
Chapter Test     183

Chapter 11: Statistics     184       (Click here to review PDF excerpts of Chapter 11)
What Is Statistics?     185
11.1 Measures of Central Tendencies and Spread     186
11.2 Introduction to Probability     189
11.3 The Counting Principle, Permutations, and Combinations     192
11.4 Tools for Exploring Data     194
Chapter Review     198
Chapter Test     199

Chapter 12: Transition to Geometry     200       (Click here to review PDF excerpts of Chapter 12)
Recipe for Geometry     201
12.1 Measurements     202
12.2 Similarity     206
12.3 Perimeter and Circumference     209
12.4 Area     212
12.5 Volume     216
12.6 Transformations: Reflections, Translations, and Rotations     219
Chapter Review     222
Chapter Test     224

Glossary     225
Selected Answers     231
Index     246






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