Algebra 2: Prentice Hall Mathematics

by Bellman, Allan E.; Bragg, Sadie Chavis; Charles, Randall I.; Handlin, William G.; Kennedy, Dan

• ISBN13: 9780130625687
• ISBN10: 013062568X
• Edition: 3rd
• Format: Hardcover
• Copyright: 2003-05-01
• Publisher: Savvas Learning Company

Table of Contents

Chapter 1 Tool of Algebra
Diagnosing Readiness	2	(2)
1-1 Properties of Real Numbers	4	(8)
Investigation: Exploring Pi,	11	(1)
1-2 Algebraic Expressions	12	(6)
1-3 Solving Equations	18	(6)
Technology: Spreadsheets,	25
Checkpoint Quiz 1	24	(2)
1-4 Solving Inequalities	26	(7)
Reading Math: Reading an Example,	32	(1)
1-5 Absolute Value Equations and Inequalities	33	(5)
Checkpoint Quiz 2	38	(1)
1-6 Probability	39	(7)
Assessment
Test-Taking Strategies: Writing Gridded Responses,	46	(1)
Chapter Review,	47	(3)
Chapter Test,	50	(1)
Standardized Test Prep: Reading Comprehension,	51	(1)
Chapter 2 Functions, Equations, and Graphs
Diagnosing Readiness	52	(3)
2-1 Relations and Functions	55	(7)
Algebra 1 Review: The Coordinate Plane,	54	(8)
2-2 Linear Equations	62	(10)
Extension: Piecewise Functions,	71	(1)
2-3 Direct Variation	72	(5)
Checkpoint Quiz 1	77	(1)
2-4 Using Linear Models	78	(8)
Technology: Finding a Line of Best Fit,	85	(1)
2-5 Absolute Value Functions and Graphs	86	(5)
2-6 Vertical and Horizontal Translations	91	(8)
Checkpoint Quiz 2	98	(1)
2-7 Two-Variable Inequalities	99	(7)
Reading Math: Reading for Problem Solving,	105	(1)
Assessment
Test-Taking Strategies: Writing Short Responses,	106	(1)
Chapter Review,	107	(3)
Chapter Test,	110	(1)
Standardized Test Prep: Cumulative Review,	111	(1)
Real-World Snapshots: Applying Variation	112	(2)
Chapter 3 Linear systems
Diagnosing Readiness	114	(2)
3-1 Graphing Systems of Equations	116	(7)
Extension: Parametric Equations,	122	(1)
3-2 Solving Systems Algebraically	123	(7)
Reading Math: Reading for Problem Solving,	129	(1)
3-3 Systems of Inequalities	130	(4)
Checkpoint Quiz 1	134	(1)
3-4 Linear Programming	135	(7)
Technology: Linear Programming,	141	(1)
3-5 Graphs in Three Dimensions	142	(5)
Checkpoint Quiz 2	147	(1)
3-6 Systems with Three Variables	148	(8)
Assessment
Test-Taking Strategies: Writing Extended Responses,	156	(1)
Chapter Review,	157	(3)
Chapter Test,	160	(1)
Standardized Test Prep: Reading Comprehension,	161	(1)
Chapter 4 Matrices
Diagnosing Readiness	162	(2)
4-1 Organizing Data Into Matrices	164	(6)
4-2 Adding and Subtracting Matrices	170	(8)
Technology: Working With Matrices,	177	(1)
4-3 Matrix Multiplication	178	(7)
Checkpoint Quiz 1	185	(2)
4-4 Geometric Transformations With Matrices	187	(8)
Geometry Review: Geometric Transformations,	186	(9)
4-5 2x2 Matrices, Determinants, and Inverses	195	(7)
4-6 3x3 Matrices, Determinants, and Inverses	202	(5)
Extension: Networks,	208
Checkpoint Quiz 2	207	(3)
4-7 Inverse Matrices and Systems	210	(7)
Reading Math: Reading for Problem Solving,	216	(1)
4-8 Augmented Matrices and Systems	217	(7)
Assessment
Test-Taking Strategies: Making Quantitative Comparisons,	224	(1)
Chapter Review,	225	(3)
Chapter Test,	228	(1)
Standardized Test Prep: Cumulative Review,	229	(1)
Real-World Snapshots: Applying Inequalities	230	(2)
Chapter 5 Quadratic Equations and Functions
Diagnosing Readiness	232	(2)
5-1 Modeling Data with Quadratic Functions	234	(7)
Technology: Modeling Using Residuals,	240	(1)
5-2 Properties of Parabolas	241	(7)
5-3 Translating Parabolas	248	(6)
Checkpoint Quiz 1	254	(1)
5-4 Factoring Quadratic Expressions	255	(8)
5-5 Quadratic Equations	263	(7)
Algebra 1 Review: square Roots and Radicals,	262	(7)
Extension: Quadratic Inequalities,	269	(1)
5-6 Complex Numbers	270	(6)
Checkpoint Quiz 2	276	(2)
5-7 Completing the Square	278	(7)
Investigation: Completing the Square,	277	(7)
Reading Math: Reading Formulas,	284	(1)
5-8 The Quadratic Formula	285	(7)
Assessment
Test-Taking strategies: Using a Variable,	292	(1)
Chapter Review,	293	(3)
Chapter Test,	296	(1)
Standardized Test Prep: Reading Comprehension,	297	(1)
Chapter 6 Polynomials and Polynomial Functions
Diagnosing Readiness	298	(2)
6-1 Polynomial Functions	300	(7)
Extension: End Behavior,	306	(1)
6-2 Polynomials and Linear Factors	307	(7)
6-3 Dividing Polynomials	314	(6)
Checkpoint Quiz 1	320	(1)
6-4 Solving Polynomial Equations	321	(8)
Reading Math: Reading for Problem Solving,	327	(1)
Extension: Descartes's Rule of Signs,	328	(1)
6-5 Theorems about Roots of Polynomial Equations	329	(6)
6-6 The Fundamental Theorem of Algebra	335	(4)
6-7 Permutations and Combinations	339	(6)
Checkpoint Quiz 2	345	(2)
6-8 The Binomial Theorem	347	(5)
Investigation: Pascal's Triangle,	346	(6)
Assessment
Test-Taking Strategies: Drawing a Diagram,	352	(1)
Chapter Review,	353	(3)
Chapter Test,	356	(1)
Standardized Test Prep: Cumulative Review,	357	(1)
Real-World Snapshots: Applying Quadratic Functions	358	(2)
Chapter 7 Radical Functions and Rational Exponents
Diagnosing Readiness	360	(3)
7-1 Roots and Radical Expressions	363	(5)
Algebra 1 Review: Properties of Exponents,	362	(6)
7-2 Multiplying and Dividing Radical Expressions	368	(6)
7-3 Binomial Radical Expressions	374	(4)
Checkpoint Quiz 1	378	(1)
7-4 Rational Exponents	379	(6)
7-5 Solving Radical Equations	385	(7)
Geometry Review: Radical Expressions in Formulas,	391	(1)
7-6 Function Operations	392	(6)
Reading Math: Reading Mathematical Symbols,	399
Checkpoint Quiz 2	398	(2)
7-7 Inverse Relations and Functions	400	(8)
Technology: Graphing Inverses,	407	(1)
7-8 Graphing Radical Functions	408	(6)
Assessment
Test-Taking Strategies: Finding Multiple Correct Answers,	414	(1)
Chapter Review,	415	(3)
Chapter Test,	418	(1)
Standardized Test Prep: Reading Comprehension,	419	(1)
Chapter 8 Exponential and Logarithmic Functions
Diagnosing Readiness	420	(2)
8-1 Exploring Exponential Models	422	(9)
Technology: Fitting Exponential Curves to Data,	430	(1)
8-2 Properties of Exponential Functions	431	(6)
Checkpoint Quiz 1	437	(1)
8-3 Logarithmic Functions as Inverses	438	(8)
Reading Math: Reading Data,	445	(1)
8-4 Properties of Logarithms	446	(7)
Technology: Verifying Properties of Logarithms,	452	(1)
8-5 Exponential and Logarithmic Equations	453	(7)
Technology: Linear and Exponential Models,	461
Checkpoint Quiz 2	460	(2)
8-6 Natural Logarithms	462	(6)
Assessment
Test-Taking Strategies: Testing Multiple Choices,	468	(1)
Chapter Review,	469	(3)
Chapter Test,	472	(1)
Standardized Test Prep: Cumulative Review,	473	(1)
Real-World Snapshots: Applying Exponential Functions	474	(2)
Chapter 9 Rational Functions
Diagnosing Readiness	476	(2)
9-1 Inverse Variation	478	(7)
Technology: Graphing Rational Functions,	484	(1)
9-2 Graphing Inverse Variations	485	(6)
9-3 Rational Functions and Their Graphs	491	(7)
Checkpoint Quiz 1	498	(1)
9-4 Rational Expressions	499	(5)
9-5 Adding and Subtracting Rational Expressions	504	(6)
Checkpoint Quiz 2	510	(2)
9-6 Solving Rational Equations	512	(7)
Investigation: Extraneous Solutions,	511	(7)
Reading Math: Reading for Problem Solving,	518	(1)
9-7 Probability of Multiple Events	519	(7)
Assessment
Test-Taking Strategies: Eliminating Answers,	526	(1)
Chapter Review,	527	(3)
Chapter Test,	530	(1)
Standardized Test Prep: Reading Comprehension,	531	(1)
Chapter 10 Quadratic Relations
Diagnosing Readiness	532	(3)
10-1 Exploring Conic Sections	535	(8)
Investigation: Conic Sections,	534	(8)
Technology: Graphing Conic Sections,	542	(1)
10-2 Parabolas	543	(6)
10-3 Circles	549	(5)
Extension: Using Parametric Form,	555
Checkpoint Quiz 1	554	(2)
10-4 Ellipses	556	(6)
10-5 Hyperbolas	562	(6)
Reading Math: Reading for Problem Solving,	569
Checkpoint Quiz 2	568	(2)
10-6 Translating Conic Sections	570	(8)
Extension: Solving Quadratic Systems,	577	(1)
Assessment
Test-Taking Strategies: Choosing Cannot Be Determined,	578	(1)
Chapter Review,	579	(3)
Chapter Test,	582	(1)
Standardized Test Prep: Cumulative Review,	583	(1)
Real-World Snapshots: Applying Conic Sections	584	(2)
Chapter 11 Sequences and Series
Diagnosing Readiness	586	(2)
11-1 Mathematical Patterns	588	(6)
11-2 Arithmetic Sequences	594	(6)
Extension: The Fibonacci Sequence,	599	(1)
11-3 Geometric Sequences	600	(5)
Reading Math: Reading for Problem Solving,	606
Checkpoint Quiz 1	605	(2)
11-4 Arithmetic Series	607	(7)
11-5 Geometric Series	614	(5)
Investigation: Geometry and Infinite Series,	613	(7)
Extension: Mathematical Induction,	620
Checkpoint Quiz 2	619	(4)
11-6 Area Under a Curve	623	(5)
Technology: Evaluating Series,	622	(6)
Assessment
Test-Taking Strategies: Using Estimation,	628	(1)
Chapter Review,	629	(3)
Chapter Test,	632	(1)
Standardized Test Prep: Reading Comprehension,	633	(1)
Chapter 12 Probability and Statistics
Diagnosing Readiness	634	(2)
12-1 Probability Distributions	636	(6)
12-2 Conditional Probability	642	(6)
Extension: Comparing Conditional Probabilities,	647	(1)
12-3 Analyzing Data	648	(7)
Checkpoint Quiz 1	655	(1)
12-4 Standard Deviation	656	(7)
12-5 Working with Samples	663	(8)
Reading Math: Reading Math Vocabulary,	670	(1)
12-6 Binomial Distributions	671	(6)
Checkpoint Quiz 2	677	(1)
12-7 Normal Distributions	678	(8)
Technology: Area Under a Curve,	685	(1)
Assessment
Test-Taking Strategies: Answering the Question Asked,	686	(1)
Chapter Review,	687	(3)
Chapter Test,	690	(1)
Standardized Test Prep: Cumulative Review,	691	(1)
Real-World Snapshots: Applying Sequences	692	(2)
Chapter 13 Periodic Functions and Trigonometry
Diagnosing Readiness	694	(2)
13-1 Exploring Periodic Data	696	(8)
13-2 Angles and the Unit Circle	704	(8)
Geometry Review: Special Right Triangles,	703	(9)
13-3 Radian Measure	712	(7)
Investigation: Measuring Radians,	711	(8)
Checkpoint Quiz 1	719	(1)
13-4 The Sine Function	720	(9)
Technology: Graphing Trigonometric Functions,	728	(1)
13-5 The Cosine Function	729	(6)
13-6 The Tangent Function	735	(7)
Reading Math: Reading a Graph,	741	(1)
13-7 Translating Sine and Cosine Functions	742	(6)
Checkpoint Quiz 2	748	(1)
13-8 Reciprocal Trigonometric Functions	749	(7)
Assessment
Test-Taking Strategies: Using Mental Math,	756	(1)
Chapter Review,	757	(3)
Chapter Test,	760	(1)
Standardized Test Prep: Reading Comprehension,	761	(1)
Chapter 14 Trigonometric Identities and Equations
Diagnosing Readiness	762	(2)
14-1 Trigonometric Identities	764	(5)
14-2 Solving Trigonometric Equations Using Inverses	769	(9)
Extension: Lissajous Figures,	777	(1)
14-3 Right Triangles and Trigonometric Ratios	778	(7)
Reading Math: Reading a Diagram,	786
Checkpoint Quiz 1	785	(2)
14-4 Area and The Law of Sines	787	(7)
Extension: The Ambiguous Case,	793	(1)
14-5 The Law of Cosines	794	(6)
14-6 Angle Identities	800	(6)
Checkpoint Quiz 2	806	(1)
14-7 Double-Angle and Half-Angle Identities	807	(5)
Assessment
Test-Taking Strategies: Answering Open-Ended Questions,	812	(1)
Chapter Review,	813	(3)
Chapter Test,	816	(1)
Standardized Test Prep: Cumulative Review,	817	(3)
Real-World Snapshots: Applying Trigonometry	820	(2)
Extra Practice	822	(14)
Skills Handbook
Draw a Diagram	836	(1)
Try, Check, Revise	837	(1)
Look for a Pattern and Make a Table	838	(1)
Solve a Simpler Problem	839	(1)
Use Logical Reasoning	840	(1)
Work Backward	841	(1)
Percents and Percent Applications	842	(1)
Operations with Fractions	843	(1)
Ratios and Proportions	844	(1)
Simplifying Expressions with Integers	845	(1)
Valuating Formulas and Solving Literal Equations	846	(1)
Area and Volume	847	(1)
The Coordinate Plane, Midpoint, and Slope	848	(1)
Solving Linear Equations and Inequalities	849	(1)
Absolute Value Equations and Inequalities	850	(1)
Graphing Two-Variable Equations and Inequalities	851	(1)
Operations with Exponents	852	(1)
Factoring and Operations with Polynomials	853	(1)
Scientific Notation and Significant Digits	854	(1)
Operations with Radicals	855	(1)
The Pythagorean Theorem and the Distance Formula	856	(1)
Bar Graphs and Circle Graphs	857	(1)
Descriptive Statistics and Histograms	858	(1)
Operations with Rational Expressions	859	(1)
Tables
Measures	860	(1)
Symbols	861	(1)
Squares and Square Roots	862	(1)
Trigonometric Ratios	863	(1)
Random Numbers	864	(1)
Properties and Formulas	865	(6)
English/Spanish Illustrated Glossary	871	(43)
Answers to Instant Check System™	914	(29)
Selected Answers	943	(39)
Index	982	(14)
Acknowledgments	996