Authors: Lawrence S. Leff M.S.
ISBN-13: 9780764135910, ISBN-10: 0764135910
Format: Paperback
Publisher: Barron's Educational Series, Incorporated
Date Published: September 2007
Edition: (Non-applicable)
Book Synopsis
(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
Table of Contents
Preface vii
Sets, Operations, and Algebraic Language 1
Numbers, Variables, and Symbols 1
Classifying Real Numbers 6
Learning More About Sets 8
Operations with Signed Numbers 12
Properties of Real Numbers 16
Exponents and Scientific Notation 21
Order of Operations 27
Translating Between English and Algebra 30
Linear Equations and Inequalities 34
Solving One-Step Equations 34
Solving Multistep Equations 38
Solving Equations with Like Terms 42
Algebraic Modeling 49
Literal Equations and Formulas 56
One-Variable Linear Inequalities 62
Problem Solving and Technology 68
Problem Solving Strategies 68
Using a Graphing Calculator 79
Comparing Mathematical Models 87
Ratios, Rates, and Proportions 94
Ratios and Rates 94
Proportions 99
Solving Motion Problems 104
Solving Percent Problems 109
Probability Ratios 120
Polynomial Arithmetic andFactoring 128
Combining Polynomials 128
Multiplying and Dividing Polynomials 131
Factoring Polynomials 137
Multiplying and Factoring Special Binomial Pairs 140
Factoring Quadratic Trinomials 143
Solving Quadratic Equations by Factoring 148
Solving Word Problems with Quadratic Equations 153
Rational Expressions and Equations 159
Simplifying Rational Expressions 159
Multiplying and Dividing Rational Expressions 163
Combining Rational Expressions 166
Rational Equations and Inequalities 170
Radicals and Right Triangles 173
Square and Cube Roots 173
Operations with Radicals 177
Combining Radicals 183
The Pythagorean Theorem 186
Similar Triangles and Trigonometry 196
Proportions in Similar Triangles 196
Trigonometric Ratios 201
Solving Problems Using Trigonometry 210
Area and Volume 217
Areas of Parallelograms and Triangles 217
Area of a Trapezoid 226
Circumference and Area of a Circle 231
Areas of Overlapping Figures 235
Surface Area and Volume 242
Graphing and Writing Equations of Lines 249
Slope of a Line 249
Slope-Intercept Form of a Linear Equation 258
Slopes of Parallel Lines 266
Graphing Linear Equations 271
Direct Variation 276
Point-Slope Form of a Linear Equation 279
Functions, Graphs, and Models 282
Function Concepts 282
Function Graphs as Models 289
The Absolute Value Function 296
Creating a Scatter Plot 299
Finding a Line of Best Fit 302
Systems of Linear Equations and Inequalities 311
Solving Linear Systems Graphically 311
Solving Linear Systems By Substitution 318
Solving Linear Systems By Combining Equations 325
Graphing Systems of Linear Inequalities 331
Quadratic and Exponential Functions 338
Graphing a Quadratic Function 338
Solving Quadratic Equations Graphically 349
Solving a Linear-Quadratic System 357
Exponential Growth and Decay 361
Statistics and Visual Representations of Data 371
Measures of Central Tendency 371
Percentiles and Quartiles 380
Histograms and Stem-and-Leaf Plots 384
Cumulative Frequency Histograms 394
Counting and Probability of Compound Events 403
Venn Diagrams and Counting 403
Counting Using Permutations 408
Probability of Compound Events 416
Probability Formulas 421
Answers and Solution Hints to Practice Exercises 432
Glossary of Integrated Algebra Terms 456
Learning About the Integrated Algebra Regents Examination 465
Sample Regents Examinations with Answers 469
Index 483
Subjects