Table of Contents

1.1   The Real Numbers   2
1.2   Fractions   9
1.3   Addition and Subtraction of Real Numbers   19
1.4   Multiplication and Division of Real Numbers   25
1.5   Exponential Expressions and the Order of Operations   29
1.6   Algebraic Expressions   36
1.7   Properties of the Real Numbers   44
1.8   Using the Properties to Simplify Expressions   52

Collaborative Activities   58
Chapter Summary   59
Enriching Your Mathematical Word Power   61
Review Exercises   62
Chapter 1 Test   64

2.1   The Addition and Multiplication Properties of Equality   66
2.2   Solving General Linear Equations   73
2.3   Identities, Conditional Equations, and Inconsistent Equations   79
2.4   Formulas   86
2.5   Translating Verbal Expressions into Algebraic Expressions   94
2.6   Number, Geometric, and Uniform Motion Applications   102
2.7   Discount, Investment, and Mixture Applications   108

Collaborative Activities   114
Chapter Summary   115
Enriching Your Mathematical Word Power   116
Review Exercises   116
Chapter 2 Test   119
Making Connections Chapters 1–2   120

3.1   Inequalities   122
3.2   Compound Inequalities   132
3.3   Absolute Value Equations and Inequalities   142

Collaborative Activities   150
Chapter Summary   157
Enriching Your Mathematical Word Power   152
Review Exercises   152
Chapter 3 Test   154
Making Connections Chapters 1–3   156

4.1   Graphing Lines in the Coordinate Plane   158
4.2   Slope   170
4.3   Equations of Lines in Slope-Intercept and Standard Form   181
4.4   The Point-Slope Form   190
4.5   Applications of Linear Equations   197
4.6   Introduction to Functions   203

Collaborative Activities   213
Chapter Summary   214
Enriching Your Mathematical Word Power   215
Review Exercises   216
Chapter 4 Test   219
Making Connections Chapters 1–4   221

5.1   Addition and Subtraction of Polynomials   224
5.2   Multiplication of Polynomials   231
5.3   Multiplication of Binomials   238
5.4   Special Products   242
5.5   Division of Polynomials   247
5.6   Positive Integral Exponents   254
5.7   Negative Exponents and Scientific Notation   259

Collaborative Activities   268
Chapter Summary   269
Enriching Your Mathematical Word Power   271
Review Exercises   272
Chapter 5 Test   275
Making Connections Chapters 1–5   276

6.1   Factoring Out Common Factors   278
6.2   Factoring the Special Products and Factoring by Grouping   284
6.3   Factoring ax2 + bx + c with a equal to 1   290
6.4   Factoring ax2 + bx + c with a not equal to 1   296
6.5   The Factoring Strategy   302
6.6   Solving Quadratic Equations by Factoring   307

Collaborative Activities   316
Chapter Summary   316
Enriching Your Mathematical Word Power   318
Review Exercises   319
Chapter 6 Test   321
Making Connections Chapters 1–6   322

7.1   Reducing Rational Expressions   324
7.2   Multiplication and Division   333
7.3   Finding the Least Common Denominator   340
7.4   Addition and Subtraction   346
7.5   Complex Fractions   354
7.6   Solving Equations with Rational Expressions   360
7.7   Applications of Ratios and Proportions   365
7.8   Applications of Rational Expressions   373

Collaborative Activities   380
Chapter Summary   381
Enriching Your Mathematical Word Power   382
Review Exercises   383
Chapter 7 Test   387
Making Connections Chapters 1–7   388

Midtext Diagnostic Review   389

8.1   Solving Systems by Graphing and Substitution   394
8.2   The Addition Method   403
8.3   Systems of Linear Equations in Three Variables   411
8.4   Solving Linear Systems Using Matrices   418
8.5   Determinants and Cramer’s Rule   426
8.6   Graphing Linear Inequalities in Two Variables   436
8.7   Graphing Systems of Linear Inequalities   444
8.8   Linear Programming   451

Collaborative Activities   458
Chapter Summary   458
Enriching Your Mathematical Word Power   461
Review Exercises   462
Chapter 8 Test   465
Making Connections Chapters 1–8   466

9.1   Radicals   468
9.2   Rational Exponents   478
9.3   Operations with Radicals   487
9.4   More Operations with Radicals   493
9.5   Solving Equations with Radicals and Exponents   498
9.6   Complex Numbers   509

Collaborative Activities   517
Chapter Summary   517
Enriching Your Mathematical Word Power   520
Review Exercises   520
Chapter 9 Test   523
Making Connections Chapters 1–9   524

10.1   Factoring and Completing the Square   526
10.2   The Quadratic Formula   535
10.3   Quadratic Functions and Their Graphs   543
10.4   More on Quadratic Equations   554
10.5   Quadratic and Rational Inequalities   562

Collaborative Activities   572
Chapter Summary   573
Enriching Your Mathematical Word Power   574
Review Exercises   575
Chapter 10 Test   579
Making Connections Chapters 1–10   580

11.1   Graphs of Functions and Relations   582
11.2   Transformations of Graphs   592
11.3   Combining Functions   601
11.4   Inverse Functions   609
11.5   Variation   620
11.6   Synthetic Division and the Factor Theorem   628

Collaborative Activities   634
Chapter Summary   634
Enriching Your Mathematical Word Power   636
Review Exercises   637
Chapter 11 Test   641
Making Connections Chapters 1–11   643

12.1   Exponential Functions and Their Applications   646
12.2   Logarithmic Functions and Their Applications   657
12.3   Properties of Logarithms   665
12.4   Solving Equations and Applications   672

Collaborative Activities   680
Chapter Summary   681
Enriching Your Mathematical Word Power   682
Review Exercises   682
Chapter 12 Test   685
Making Connections Chapters 1–12   687

13.1   Nonlinear Systems of Equations   690
13.2   The Parabola   698
13.3   The Circle   706
13.4   The Ellipse and Hyperbola   713
13.5   Second-Degree Inequalities   724

Collaborative Activities   730
Chapter Summary   730
Enriching Your Mathematical Word Power   733
Review Exercises   733
Chapter 13 Test   737
Making Connections Chapters 1–13   739

14.1   Sequences   742
14.2   Series   748
14.3   Arithmetic Sequences and Series   752
14.4   Geometric Sequences and Series   757
14.5   Binomial Expansions   766

Collaborative Activities   772
Chapter Summary   772
Enriching Your Mathematical Word Power   774
Review Exercises   774
Chapter 14 Test   776
Making Connections Chapters 1–14   777

Appendix   A-1
A   Geometry Review   A-1
B   Table of Squares and Square Roots   A-4
C   Common Logarithms   A-5
Answers   A-7
Index   I-1