| |

| |

Preface | |

| |

| |

| |

Sets, Operations, and Algebraic Language | |

| |

| |

| |

Numbers, Variables, and Symbols | |

| |

| |

| |

Classifying Real Numbers | |

| |

| |

| |

Learning More About Sets | |

| |

| |

| |

Operations with Signed Numbers | |

| |

| |

| |

Properties of Real Numbers | |

| |

| |

| |

Exponents and Scientific Notation | |

| |

| |

| |

Order of Operations | |

| |

| |

| |

Translating Between English and Algebra | |

| |

| |

| |

Linear Equations and Inequalities | |

| |

| |

| |

Solving One-Step Equations | |

| |

| |

| |

Solving Multistep Equations | |

| |

| |

| |

Solving Equations with Like Terms | |

| |

| |

| |

Algebraic Modeling | |

| |

| |

| |

Literal Equations and Formulas | |

| |

| |

| |

One-Variable Linear Inequalities | |

| |

| |

| |

Problem Solving and Technology | |

| |

| |

| |

Problem Solving Strategies | |

| |

| |

| |

Using a Graphing Calculator | |

| |

| |

| |

Comparing Mathematical Models | |

| |

| |

| |

Ratios, Rates, and Proportions | |

| |

| |

| |

Ratios and Rates | |

| |

| |

| |

Proportions | |

| |

| |

| |

Solving Motion Problems | |

| |

| |

| |

Solving Percent Problems | |

| |

| |

| |

Probability Ratios | |

| |

| |

| |

Polynomial Arithmetic and Factoring | |

| |

| |

| |

Combining Polynomials | |

| |

| |

| |

Multipying and Dividing Polynomials | |

| |

| |

| |

Factoring Polynomials | |

| |

| |

| |

Multiplying and Factoring Special Binomial Pairs | |

| |

| |

| |

Factoring Quadratic Trinomials | |

| |

| |

| |

Solving Quadratic Equations by Factoring | |

| |

| |

| |

Solving Word Problems with Quadratic Equations | |

| |

| |

| |

Rational Expressions and Equations | |

| |

| |

| |

Simplifying Rational Expressions | |

| |

| |

| |

Multiplying and Dividing Rational Expressions | |

| |

| |

| |

Combining Rational Expressions | |

| |

| |

| |

Rational Equations and Inequalities | |

| |

| |

| |

Radicals and Right Triangles | |

| |

| |

| |

Square and Cube Roots | |

| |

| |

| |

Operations with Radicals | |

| |

| |

| |

Combining Radicals | |

| |

| |

| |

The Pythagorean Theorem | |

| |

| |

| |

General Methods for Solving Quadratic Equations | |

| |

| |

| |

Similar Triangles and Trigonometry | |

| |

| |

| |

Trigonometric Ratios | |

| |

| |

| |

Solving Problems Using Trigonometry | |

| |

| |

| |

Area and Volume | |

| |

| |

| |

Areas of Parallelograms and Triangles | |

| |

| |

| |

Area of a Trapezoid | |

| |

| |

| |

Circumference and Area of a Circle | |

| |

| |

| |

Areas of Overlapping Figures | |

| |

| |

| |

Surface Area and Volume | |

| |

| |

| |

Graphing and Writing Equations of Lines | |

| |

| |

| |

Slope of a Line | |

| |

| |

| |

Slope-Intercept Form of a Linear Equation | |

| |

| |

| |

Slopes of Parallel Lines | |

| |

| |

| |

Graphing Linear Equations | |

| |

| |

| |

Direct Variation | |

| |

| |

| |

Point-Slope Form of a Linear Equation | |

| |

| |

| |

Functions, Graphs, and Models | |

| |

| |

| |

Function Concepts | |

| |

| |

| |

Function Graphs as Models | |

| |

| |

| |

The Absolute Value Function | |

| |

| |

| |

Creating a Scatter Plot | |

| |

| |

| |

Finding a Line of Best Fit | |

| |

| |

| |

Systems of Linear Equations and Inequalities | |

| |

| |

| |

Solving Linear Systems Graphically | |

| |

| |

| |

Solving Linear Systems By Substitution | |

| |

| |

| |

Solving Linear Systems By Combining Equations | |

| |

| |

| |

Graphing Systems of Linear Inequalities | |

| |

| |

| |

Quadratic and Exponential Functions | |

| |

| |

| |

Graphing a Quadratic Function | |

| |

| |

| |

Solving Quadratic Equations Graphically | |

| |

| |

| |

Solving a Linear-Quadratic System | |

| |

| |

| |

Exponential Growth and Decay | |

| |

| |

| |

Statistics and Visual Representations of Data | |

| |

| |

| |

Measures of Central Tendency | |

| |

| |

| |

Box-and-Whisker Plots | |

| |

| |

| |

Histograms | |

| |

| |

| |

Cumulative Frequency Histograms | |

| |

| |

| |

Counting and Probability of Compound Events | |

| |

| |

| |

Counting Using Permutations | |

| |

| |

| |

Probability of Compound Events | |

| |

| |

| |

Probability Formulas for Compound Events | |

| |

| |

Answers and Solution Hints to Practice Exercises | |

| |

| |

Glossary of Integrated Algebra Terms | |

| |

| |

The Integrated Algebra Regents Examination | |

| |

| |

June 2011 Regents Examination | |

| |

| |

Answers | |

| |

| |

June 2012 Regents Examination | |

| |

| |

Answers | |

| |

| |

Index | |