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Algebra 2

Algebra 2 Algebra 2

ISBN: 9780618250202 / 0618250204

Table of Contents

Chapter 1

Equations And Inequalities

1.1 Real Numbers and Number Operations Exercises p.7
1.2 Algebraic Expressions and Models Exercises p.14
Quiz p.17
1.3 Solving Linear Equations Exercises p.22
1.4 Rewriting Equations and Formulas Exercises p.29
1.5 Problem Solving Using Algebraic Models Exercises p.37
Quiz p.40
1.6 Solving Linear Inequalities Exercises p.45
1.7 Solving Absolute Value Equations and Inequalities Exercises p.53
Quiz p.56
Chapter Review p.58
Chapter Test p.61
Chapter Standardized Test p.62

Chapter 2

Linear Equations And Functions

2.1 Functions and Their Graphs Exercises p.71
2.2 Slope and Rate of Change Exercises p.79
2.3 Quick Graphs of Linear Equations Exercises p.86
Quiz p.89
2.4 Writing Equations of Lines Exercises p.95
2.5 Correlation and Best-Fitting Lines Exercises p.103
Quiz p.106
2.6 Linear Inequalities in Two Variables Exercises p.111
2.7 Piecewise Functions Exercises p.117
2.8 Absolute Value Functions Exercises p.125
Quiz p.128
Chapter Review p.130
Chapter Test p.133
Chapter Standardized Test p.134

Chapter 3

Systems Of Linear Equations And Inequalities

3.1 Solving Linear Systems by Graphing Exercises p.142
3.2 Solving Linear Systems Algebraically Exercises p.152
Quiz 1 p.155
3.3 Graphing and Solving Systems of Linear Inequalities Exercises p.159
3.4 Linear Programming Exercises p.166
Quiz 2 p.169
3.5 Graphing Linear Equations in Three Variables Exercises p.173
3.6 Solving Systems of Linear Inequalities in Three Variables Exercises p.181
Quiz 3 p.184
Chapter Review p.186
Chapter Test p.189
Chapter Standardized Test p.190
Cumulative Practice p.192

Chapter 4

Matrices And Determinants

4.1 Matrix Operations Exercises p.203
4.2 Multiplying Matrices Exercises p.211
4.3 Determinants and Cramer's Rule Exercises p.218
Quiz 1 p.221
4.4 Identity and Inverse Matrices Exercises p.227
4.5 Solving Systems Using Inverse Matrices Exercises p.233
Quiz 2 p.236
Exercises (extension) p.238
Chapter Review p.240
Chapter Test p.243
Chapter Standardized Test p.244

Chapter 5

Quadratic Functions

5.1 Graphing Quadratic Functions Exercises p.253
5.2 Solving Quadratic Equations by Factoring Exercises p.260
5.3 Solving Quadratic Equations by Finding Square Roots Exercises p.267
Quiz 1 p.270
5.4 Complex Numbers Exercises p.277
5.5 Completing the Square Exercises p.286
5.6 The Quadratic Formula and the Discriminant Exercises p.295
Quiz 2 p.298
5.7 Graphing and Solving Quadratic Inequalities Exercises p.303
5.8 Modeling with Quadratic Functions Exercises p.309
Quiz 3 p.312
Chapter Review p.314
Chapter Test p.317
Chapter Standardized Test p.318

Chapter 6

Polynomials And Polynomial Functions

6.1 Using Properties of Exponents Exercises p.326
6.2 Evaluating and Graphing Polynomial Functions Exercises p.333
6.3 Adding, Subtracting, and Multiplying Polynomials Exercises p.341
Quiz 1 p.344
6.4 Factoring and Solving Polynomial Equations Exercises p.348
6.5 The Remainder and Factor Theorems Exercises p.356
6.6 Finding Rational Zeros Exercises p.362
Quiz 2 p.365
6.7 Using the Fundamental Theorem of Algebra Exercises p.369
6.8 Analyzing Graphs of Polynomial Functions Exercises p.376
6.9 Modeling with Polynomial Functions Exercises p.383
Quiz 3 p.386
Chapter Review p.388
Chapter Test p.391
Chapter Standardized Test p.392
Cumulative Practice p.394

Chapter 7

Powers, Roots, And Radicals

7.1 nth Roots and Rational Exponents Exercises p.404
7.2 Properties of Rational Exponents Exercises p.411
Quiz 1 p.414
7.3 Power Functions and Function Operations Exercises p.418
7.4 Inverse Functions Exercises p.426
Quiz 2 p.429
7.5 Graphing Square Root and Cube Root Functions Exercises p.434
7.6 Solving Radical Equations Exercises p.441
7.7 Statistics and Statistical Graphs Exercises p.449
Quiz 3 p.452
Chapter Review p.456
Chapter Test p.459
Chapter Standardized Test p.460

Chapter 8

Exponential And Logarithmic Functions

8.1 Exponential Growth Exercises p.469
8.2 Exponential Decay Exercises p.477
8.3 The Number "e" Exercises p.483
Quiz 1 p.485
8.4 Logarithmic Functions Exercises p.490
8.5 Properties of Logarithms Exercises p.496
8.6 Solving Exponential and Logarithmic Equations Exercises p.505
Quiz 2 p.508
8.7 Modeling with Exponential and Power Functions Exercises p.513
8.8 Logistic Growth Functions Exercises p.520
Quiz 3 p.522
Chapter Review p.524
Chapter Test p.527
Chapter Standardized Test p.528

Chapter 9

Rational Equations And Functions

9.1 Inverse and Joint Variation Exercises p.537
9.2 Graphing Simple Rational Functions Exercises p.543
9.3 Graphing General Rational Functions Exercises p.550
Quiz 1 p.553
9.4 Multiplying and Dividing Rational Expressions Exercises p.558
9.5 Addition, Subtraction, and Complex Fractions Exercises p.565
9.6 Solving Rational Equations Exercises p.571
Quiz 2 p.574
Chapter Review p.576
Chapter Test p.579
Chapter Standardized Test p.580
Cumulative Practice p.582

Chapter 10

Quadratic Relations And Conic Sections

10.1 The Distance and Midpoint Formulas Exercises p.592
10.2 Parabolas Exercises p.598
10.3 Circles Exercises p.604
Quiz 1 p.607
10.4 Ellipses Exercises p.612
10.5 Hyperbolas Exercises p.618
Quiz 2 p.621
10.6 Graphing and Classifying Conics Exercises p.628
10.7 Solving Quadratic Systems Exercises p.635
Quiz 3 p.638
Exercises (Extension) p.640
Chapter Review p.642
Chapter Test p.645
Chapter Standardized Test p.646

Chapter 11

Sequences And Series

11.1 An Introduction to Sequences and Series Exercises p.655
11.2 Arithmetic Sequences and Series Exercises p.663
11.3 Geometric Sequences and Series Exercises p.670
Quiz 1 p.673
11.4 Infinite Geometric Series Exercises p.678
11.5 Recursive Rules for Sequences Exercises p.684
Quiz 2 p.687
Exercises (Extension) p.690
Chapter Review p.692
Chapter Test p.695
Chapter Standardized Test p.696

Chapter 12

Probability And Statistics

12.1 The Fundamental Counting Principle and Permutations Exercises p.705
12.2 Combinations and the Binomial Theorem Exercises p.712
Quiz 1 p.715
12.3 An Introduction to Probability Exercises p.719
12.4 Probability of Compound Events Exercises p.727
12.5 Probability of Independent and Dependent Events Exercises p.734
Quiz 2 p.737
12.6 Binomial Distributions Exercises p.742
12.7 Normal Distributions Exercises p.749
Quiz 3 p.752
Exercises (Extension) p.754
Chapter Review p.756
Chapter Test p.759
Chapter Standardized Test p.760
Cumulative Practice p.762

Chapter 13

Trigonometric Ratios And Functions

13.1 Right Triangle Trigonometry Exercises p.772
13.2 General Angles and Radian Measure Exercises p.780
Quiz 1 p.783
13.3 Trigonometric Functions of Any Angle Exercises p.788
13.4 Inverse Trigonometric Functions Exercises p.795
Quiz 2 p.798
13.5 The Law of Sines Exercises p.803
13.6 The Law of Cosines Exercises p.810
13.7 Parametric Equations and Projectile Motion Exercises p.816
Quiz 3 p.819
Chapter Review p.822
Chapter Test p.825
Chapter Standardized Test p.826

Chapter 14

Trigonometric Graphs, Identities, And Equations

14.1 Graphing Sine, Cosine, and Tangent Functions Exercises p.835
14.2 Translations and Reflections of Trigonometric Graphs Exercises p.844
Quiz 1 p.847
14.3 Verifying Trigonometric Identities Exercises p.852
14.4 Solving Trigonometric Equations Exercises p.859
14.5 Modeling with Trigonometric Functions Exercises p.865
Quiz 2 p.868
14.6 Using Sum and Difference Formulas Exercises p.872
14.7 Using Double- and Half-Angle Formulas Exercises p.879
Quiz 3 p.882
Chapter Review p.884
Chapter Test p.887
Chapter Standardized Test p.888
Cumulative Practice p.890
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