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Let's Review: Algebra 1

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PREFACE

CHAPTER 1 SOLVING LINEAR EQUATIONS WITH ALGEBRA
1.1 Properties of Algebra
1.2 Solving One-Step Algebra Equations
1.3 Solving Multi-Step Algebra Equations
1.4 Isolating Variables in Equations with Multiple Variables

CHAPTER 2 POLYNOMAL ARITHMETIC
2.1 Classifying Monomials, Binomials, and Trinomials
2.2 Multiplying and Dividing Monomials
2.3 Combining Like Terms
2.4 Multiplying Monomials and Polynomials
2.5 Adding and Subtracting Polynomials
2.6 Multi-Step Algebra Equations Involving Polynomial Arithmetic
2.7 Multiplying Polynomials by Polynomials
2.8 Factoring Polynomials
2.9 More Complicates Factoring

CHAPTER 3 QUADRATIC EQUATIONS
3.1 Solving Quadratic Equations by Taking the Square Root of Both Sides of the Equation
3.2 Solving Quadratic Equations by Guess and Check
3.3 Solving Quadratic Equations by Completing the Square
2.4 Solving Quadratic Equations by Factoring
3.5 The Relationship Beetween Factors and Roots
3.6 Solving Quadratic Equations with the Quadratic Formula
3.7 Word Problems Involving Quadratic Equations

CHAPTER 4 SYSTEMS OF LINEAR EQUATIONS
4.1 Solving Systems with Guess and Check
4.2 Solving Simpler Systems of Equations with Algebra
4.3 Solving More Complicated Systems of Equations with Algebra
4.4 Solving Word Problems with Systems of Equations

CHAPTER 5 GRAPHS OF SOLUTION SETS OF LINEAR EQUATIONS
5.1 Producing a Graph by Identifying Two of More Points
5.2 Calculating and Interpreting Slope
5.3 Slope-Intercept Form
5.4 Graphing Solution Sets to Linear Equations with a Graphing Calculator
5.5 Determining an Equation for a Given Graph
5.6 Word Problems Involving Finding the Equation of a Line

CHAPTER 6 GRAPHING SOLUTION SETS FOR QUADRATIC EQUATIONS
6.1 Graphic Solution Sets to Quadratic Equations
6.2 Using the Graphing Calculator to Solve Quadratic Equations
6.3 Solving Linear-Quadratic Systems of Equations
6.4 Graphing Quadratic Equations for Real-World Applications

CHAPTER 7 LINEAR INEQUALITIES
7.1 One-Variable Linear Inequalities
7.2 Graphing Two-Variable Linear Inequalities
7.3 Graphing Systems of Linear Inequalities

CHAPTER 8 EXPONENTIAL EQUATIONS
8.1 Solving Exponetial Equations
8.2 Graphing Solution Sets to Two-Variable Exponential Equations
8.3 Distinguishing Between Linear, Quadratic, and Exponential Equations
8.4 Real-World Problems Involving Exponential Equations

CHAPTER 9 CREATING AND INTERPRETING EQUATIONS FROM REAL-WORLD SCENARIOS
9.1 Creating and Interpreting Linear Equations
9.2 Creating and Interpreting Exponential Equations

CHAPTER 10 FUNCTIONS
10.1 Describing Functions
10.2 Function Graphs
10.3 Defining a Function with an Equation
10.4 Function Transformations

CHAPTER 11 SEQUENCES
11.1 Types of Sequences
11.2 Recursively Defined Sequences
11.3 Closed Form Defined Sequences

CHAPTER 12 REGRESSION CURVES
12.1 Line of Best Fit
12.2 The Correlation Coefficient
12.3 Parabolas and Exponential Curves of Best Fit

CHAPTER 13 STATISTICS
13.1 Measures of Central Tendency
13.2 Graphically Representing Data

CHAPTER 14 TEST TAKING STRATEGIES
14.1 Time Management
14.2 Know How to Get Partial Credit
14.3 Know Your Calculator
14.4 Use the Reference Sheet
14.5 How Many Points Do You Need to Pass?

ANSEWRS AND SOLUTION HINTS TO PRACTICE EXERCISES
GLOSSARY OF ALGEBRA I TERMS
THE ALGEBRA I REGENTS EXAMINATION
INDEX

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This brand new book prepares students for the new Algebra I (Common Core) exam. In addition to the math review and exams, the book includes a 32-page color supplement of Common Core material. Students can use this one book to prepare for their Algebra I Regents exams whether or not their district has adopted Common Core standards.

Using many step-by-step demonstration examples and helpful diagrams, this book presents a clearly organized chapter-by-chapter review of all New York State Regents Algebra I topics. Students will also find helpful exercise sections within each chapter with a sampling of Regents-type multiple-choice and constructed-response questions. Includes the June 2014 Algebra I (Common Core) exam for more practice and review. Answers provided for all questions.

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