Let's Review: Integrated Algebra
Reflecting the latest New York State curriculum change, this brand-new addition to Barron's Let's Review series covers all topics prescribed by the New York State Board of Regents for the new Integrated Algebra Regents exam, which replaces the Math A Regents exam. This book stresses rapid learning, using many step-by-step demonstration examples, helpful diagrams, enlightening "Math Fact" summaries, and graphing calculator approaches. Fourteen chapters review the following topics: sets,...
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(back cover) Barron's Review Course Series Let's Review: Integrated Algebra An ideal companion to high school math textbooks, this new book covers all required Integrated Algebra topics prescribed by the New York State Board of Regents. For Students: Easy-to-follow topic summaries designed for rapid learning Step-by-step demonstration examples Thorough preparation for classroom and Algebra Regents examinations Many practice exercises with answers Graphing calculator approaches For Teachers: A valuable lesson planning aid A helpful sources of practice, homework, and test questions
Preface viiSets, Operations, and Algebraic Language 1Numbers, Variables, and Symbols 1Classifying Real Numbers 6Learning More About Sets 8Operations with Signed Numbers 12Properties of Real Numbers 16Exponents and Scientific Notation 21Order of Operations 27Translating Between English and Algebra 30Linear Equations and Inequalities 34Solving One-Step Equations 34Solving Multistep Equations 38Solving Equations with Like Terms 42Algebraic Modeling 49Literal Equations and Formulas 56One-Variable Linear Inequalities 62Problem Solving and Technology 68Problem Solving Strategies 68Using a Graphing Calculator 79Comparing Mathematical Models 87Ratios, Rates, and Proportions 94Ratios and Rates 94Proportions 99Solving Motion Problems 104Solving Percent Problems 109Probability Ratios 120Polynomial Arithmetic andFactoring 128Combining Polynomials 128Multiplying and Dividing Polynomials 131Factoring Polynomials 137Multiplying and Factoring Special Binomial Pairs 140Factoring Quadratic Trinomials 143Solving Quadratic Equations by Factoring 148Solving Word Problems with Quadratic Equations 153Rational Expressions and Equations 159Simplifying Rational Expressions 159Multiplying and Dividing Rational Expressions 163Combining Rational Expressions 166Rational Equations and Inequalities 170Radicals and Right Triangles 173Square and Cube Roots 173Operations with Radicals 177Combining Radicals 183The Pythagorean Theorem 186Similar Triangles and Trigonometry 196Proportions in Similar Triangles 196Trigonometric Ratios 201Solving Problems Using Trigonometry 210Area and Volume 217Areas of Parallelograms and Triangles 217Area of a Trapezoid 226Circumference and Area of a Circle 231Areas of Overlapping Figures 235Surface Area and Volume 242Graphing and Writing Equations of Lines 249Slope of a Line 249Slope-Intercept Form of a Linear Equation 258Slopes of Parallel Lines 266Graphing Linear Equations 271Direct Variation 276Point-Slope Form of a Linear Equation 279Functions, Graphs, and Models 282Function Concepts 282Function Graphs as Models 289The Absolute Value Function 296Creating a Scatter Plot 299Finding a Line of Best Fit 302Systems of Linear Equations and Inequalities 311Solving Linear Systems Graphically 311Solving Linear Systems By Substitution 318Solving Linear Systems By Combining Equations 325Graphing Systems of Linear Inequalities 331Quadratic and Exponential Functions 338Graphing a Quadratic Function 338Solving Quadratic Equations Graphically 349Solving a Linear-Quadratic System 357Exponential Growth and Decay 361Statistics and Visual Representations of Data 371Measures of Central Tendency 371Percentiles and Quartiles 380Histograms and Stem-and-Leaf Plots 384Cumulative Frequency Histograms 394Counting and Probability of Compound Events 403Venn Diagrams and Counting 403Counting Using Permutations 408Probability of Compound Events 416Probability Formulas 421Answers and Solution Hints to Practice Exercises 432Glossary of Integrated Algebra Terms 456Learning About the Integrated Algebra Regents Examination 465Sample Regents Examinations with Answers 469Index 483
\ From Barnes & NobleEmpire State tests are changing: Beginning next year, the New York State Regents high school mathematics standards will be different. A new Integrated Algebra Regents exam will replace the old Math A Regents exam. Let's Review: Integrated Algebra is the first to be published that fully covers all topics prescribed in this important examination. In 14 easy-to-understand chapters, the book reviews sets, operations, and algebraic language; linear equations and formulas; problem solving and technology; ratios, rates, and proportions; polynomials and factoring; rational expressions and equations; and a plethora of other subjects. Essential information for a required test.\ \
