Let's Review Regents: Algebra I Revised Edition

by Gary M. Rubinstein M.S.

Overview

Barron's Let's Review Regents: Algebra I gives students the step-by-step review and practice they need to prepare for the Regents exam. This updated edition is an ideal companion to high school textbooks and covers all Algebra I topics prescribed by the New York State Board of Regents.

Features include:

• In-depth Regents exam preparation, including two recent Algebra I Regents exams and answer keys
• Easy to read topic summaries
• Step-by-step demonstrations and examples
• Review of all Algebra I topics
• Hundreds of sample questions with fully explained answers for practice and review, and more

Teachers can also use this book to plan lessons and as a helpful resource for practice, homework, and test questions.

Product Details

ISBN-13:	9781506271989
Publisher:	Barrons Educational Services
Publication date:	01/05/2021
Series:	Barron's New York Regents
Sold by:	SIMON & SCHUSTER
Format:	eBook
Pages:	512
File size:	59 MB
Note:	This product may take a few minutes to download.
Age Range:	14 - 17 Years

About the Author

About the Publisher
In the 1930s, Manuel H. Barron opened a bookstore in Brooklyn, New York. 

People from the community asked Mr. Barron about books that might be available to help their children study for the New York State Regents exams. After realizing there wasn't anything available, Mr. Barron created his own study guides.

80 years later, Barron's has helped millions of people prepare for their next step.

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