Table of Contents
Preface vii
Chapter 1 Solving Linear Equations with Algebra 1
1.1 Properties of Algebra 1
1.2 Solving One-Step Algebra Equations 7
1.3 Solving Multi-Step Algebra Equations 11
1.4 Isolating Variables in Equations with Multiple Variables 14
Chapter 2 Polynomial Arithmetic 19
2.1 Classifying Monomials, Binomials, and Trinomials 19
2.2 Multiplying and Dividing Monomials 22
2.3 Combining Like Terms 26
2.4 Multiplying Monomials and Polynomials 29
2.5 Adding and Subtracting Polynomials 32
2.6 Multi-Step Algebra Equations Involving Polynomial Arithmetic 36
2.7 Multiplying Polynomials by Polynomials 40
2.8 Factoring Polynomials 45
2.9 More Complicated Factoring 51
Chapter 3 Quadratic Equations 55
3.1 Solving Quadratic Equations by Taking the Square Root of Both Sides of the Equation 55
3.2 Solving Quadratic Equations by Guess and Check 63
3.3 Solving Quadratic Equations by Completing the Square 66
3.4 Solving Quadratic Equations by Factoring 71
3.5 The Relationship Between Factors and Roots 76
3.6 Solving Quadratic Equations with the Quadratic Formula 79
3.7 Word Problems Involving Quadratic Equations 83
Chapter 4 Systems of Linear Equations 89
4.1 Solving Systems with Guess and Check 89
4.2 Solving Simpler Systems of Equations with Algebra 95
4.3 Solving More Complicated Systems of Equations with Algebra 102
4.4 Solving Word Problems with Systems of Equations 111
Chapter 5 Graphs of Solution Sets of Linear Equations 117
5.1 Producing a Graph by Identifying Two or More Points 117
5.2 Calculating and Interpreting Slope 129
5.3 Slope-Intercept Form 138
5.4 Graphing Solution Sets to Linear Equations with a Graphing Calculator 146
5.5 Determining an Equation for a Given Graph 158
5.6 Word Problems Involving Finding the Equation of a Line 165
Chapter 6 Graphing Solution Sets for Quadratic Equations 171
6.1 Graphing Solution Sets to Quadratic Equations 171
6.2 Using the Graphing Calculator to Solve Quadratic Equations 188
6.3 Solving Linear-Quadratic Systems of Equations 196
6.4 Graphing Quadratic Equations for Real-World Applications 205
Chapter 7 Linear Inequalities 213
7.1 One-Variable Linear Inequalities 213
7.2 Graphing Two-Variable Linear Inequalities 218
7.3 Graphing Systems of Linear Inequalities 230
Chapter 8 Exponential Equations 243
8.1 Solving Exponential Equations 243
8.2 Graphing Solution Sets to Two-Variable Exponential Equations 246
8.3 Distinguishing Between Linear, Quadratic, and Exponential Equations 254
8.4 Real-World Problems Involving Exponential Equations 268
Chapter 9 Creating and Interpreting Equations from Real-World Scenarios 273
9.1 Creating and Interpreting Linear Equations 273
9.2 Creating and Interpreting Exponential Equations 279
Chapter 10 Functions 287
10.1 Describing Functions 287
10.2 Function Graphs 292
10.3 Defining a Function with an Equation 304
10.4 Function Transformations 316
Chapter 11 Sequences 329
11.1 Types of Sequences 329
11.2 Recursively Defined Sequences 331
11.3 Closed Form Defined Sequences 338
Chapter 12 Regression Curves 345
12.1 Line of Best Fit 345
12.2 The Correlation Coefficient 356
12.3 Parabolas and Exponential Curves of Best Fit 367
Chapter 13 Statistics 381
13.1 Measures of Central Tendency 381
13.2 Graphically Representing Data 391
Chapter 14 Test-Taking Strategies 399
14.1 Time Management 399
14.2 Know How to Get Partial Credit 400
14.3 Know Your Calculator 401
14.4 Use the Reference Sheet 407
14.5 How Many Points Do You Need to Pass? 408
Answers and Solution Hints to Practice Exercises 409
Glossary of Algebra I Terms 439
The Algebra I Regents Examination 447
June 2018 Examination 450
Answer Key 471
June 2019 Examination 472
Answer Key 494
Index 495
