Table of Contents
Preface v
Chapter 1 Polynomial Expressions and Equations 1
1.1 Polynomial Arithmetic 1
1.2 Polynomial Factoring 8
1.3 The Remainder Theorem and the Factor Theorem 15
1.4 Polynomial Equations 18
1.5 Quadratic Graphs 23
1.6 Polynomial Graphs 41
Chapter 2 Rational Expressions and Equations 57
2.1 Arithmetic with Rational Expressions 57
2.2 Solving Rational Equations 68
2.3 Graphing Rational Functions 75
Chapter 3 Exponential and Logarithmic Expressions and Equations 82
3.1 Properties of Exponents 82
3.2 Solving Exponential Equations by Guess and Check or by Graphing 88
3.3 Logarithms 99
3.4 Transformed Graphs of Exponential and Logarithmic Functions 111
3.5 Using Exponential or Logarithmic Equations in Real-World Scenarios 117
Chapter 4 Radical Expressions and Equations 126
4.1 Simplifying Radicals 126
4.2 Imaginary and Complex Numbers 130
4.3 Solving Radical Equations 137
4.4 Graphs of Radical Functions 144
Chapter 5 Trigonometric Expressions and Equations 157
5.1 Unit Circle Trigonometry 157
5.2 Trigonometry Equations 176
5.3 Radian Measure 183
5.4 Graphs of the Sine and Cosine Functions 189
5.5 Graphically Solving Trig Equations 212
5.6 Modeling Real-World Scenarios with Trig Functions 215
5.7 Trigonometry Identities 221
Chapter 6 Systems of Equations 228
6.1 Two Equations with Two Unknowns 228
6.2 The Elimination Method for Three Equations with Three Unknowns 238
6.3 Using a Graphing Calculator to Solve Systems of Equations 244
Chapter 7 Functions 248
7.1 Composite Functions 248
7.2 Inverse Functions 256
Chapter 8 Sequences 269
8.1 Sequences and Series 269
Chapter 9 Probability 276
9.1 Sample Spaces 276
9.2 Calculating Probabilities Involving Independent Events 286
9.3 Calculating Probabilities Involving Dependent Events 292
Chapter 10 Normal Distribution 301
10.1 Standard Deviation 301
10.2 Normal Distribution 309
Chapter 11 Statistics 316
11.1 Types of Statistical Studies 316
11.2 Inferential Statistics 318
Chapter 12 Test-Taking Strategies 331
12.1 Time Management 331
12.2 Know How to Get Partial Credit 332
12.3 Know Your Calculator 334
12.4 Use the Reference Sheet 340
12.5 How Many Points Do You Need to Pass? 341
Answers and Solution Hints to Practice Exercises 342
Glossary of Algebra II Terms 363
The Algebra II Regents Examination 370
June 2018 Examination 373
Answer Key 398
June 2019 Examination 399
Answer Key 422
Index 423
