South-Western Algebra 2

by Gerver, Robert K.; Sgroi, Richard; Carter, Claudia; Hansen, Mary; Molina, David

• ISBN13: 9780538680516
• ISBN10: 0538680512
• Edition: Student
• Format: Hardcover
• Copyright: 1997-03-01
• Publisher: South-Western Pub

Table of Contents

Modeling and Predicting
Theme: Cars and Business
Data Activity: Sticker Shock	2	(2)
Project: Model Cars	4	(1)
Use an Equation or Formula	5	(7)
Algebra Works: Credit Manager	11	(1)
Use a Spreadsheet	12	(7)
Project Connection	17	(1)
Algebra Works: Automobile Mechanic	18	(1)
Use a Matrix	19	(6)
Use Probability	25	(7)
Project Connection	30	(1)
Algebra Works: Actuary	31	(1)
Use Statistics	32	(6)
Project Connection	37	(1)
Use a Graph	38	(8)
Problem Solving File: Solving Problems with Scientific Notation	46	(13)
Review Problem Solving Strategies	49
Mixed Review	45	(5)
Chapter Review	50	(2)
Chapter Assessment
Chapter Text	52	(1)
Performance Assessment	53	(1)
Project Assessment	53	(1)
Cumulative Review	54	(1)
Standardized Test	55	(1)
Real Numbers, Equations, and Inequalities
Theme: Engineering
Data Activity: Electrical Resistance	56	(2)
Project: Engineering Your Career	58	(1)
Algebra Workshop: Graph on the Number Line	59	(3)
The Structure of the Real Numbers	62	(6)
Project Connection	67	(1)
Properties of the Real Numbers	68	(6)
Algebra Works: Environmental Engineer	73	(1)
Solving Equations and Inequalities in One Variable	74	(8)
Algebra Works: Civil Engineer	81	(1)
Solve Absolute Value Equations and Inequalities	82	(7)
Project Connection	87	(1)
Algebra Works: Sound Engineer	88	(1)
Explore Statistics: Graph Data	89	(5)
Project Connection	93	(1)
Problem Solving File: Work Backward	94	(13)
Review Problem Solving Strategies	97
Mixed Review	93	(5)
Chapter Review	98	(2)
Chapter Assessment
Chapter Test	100	(1)
Performance Assessment	101	(1)
Project Assessment	101	(1)
Cumulative Review	102	(1)
Standardized Test	103	(1)
Functions and Graphs
Theme: Personal Finance
Data Activity: There's no Place Like Home	104	(2)
Project: A Place to Call Home	106	(1)
Algebra Workshop: Symmetry	107	(5)
Project Connection	110	(1)
AlgebraWorks: Tax Assessor	111	(1)
Relations, Functions, and Graphs	112	(7)
Project Connection:	118	(1)
Linear Functions	119	(7)
Algebra Workshop: Explore Absolute Value	126	(6)
Project Connection:	130	(1)
Algebra Works: Stockbroker	131	(1)
Algebra Workshop: Symmetry in Other Functions	132	(5)
Inverse Functions	137	(6)
Algebra of Functions	143	(9)
Algebra Works: Real Estate Sales Agent	151	(1)
Problem Solving File: Direct Variation Functions	152	(13)
Review Problem Solving Strategies	155
Mixed Review	150	(6)
Chapter Review	156	(2)
Chapter Assessment
Chapter Test	158	(1)
Performance Assessment	159	(1)
Project Assessment	159	(1)
Cumulative Review	160	(1)
Standardized Test	161	(1)
Systems of Linear Equations
Theme: Manufacturing
Data Activity: Manufacturing	162	(2)
Project: A Manufacturing Simulation	164	(1)
Algebra Workshop: Exploring Systems of Equations	165	(3)
Solving Systems of Linear Equations	168	(8)
Project Connection	174	(1)
Algebra Works: Craft Worker	175	(1)
Solving Systems in Three Variables	176	(7)
Augmented Matrices	183	(6)
Multiplying Matrices	189	(7)
Project Connection	195	(1)
Identity and Inverse Matrices	196	(7)
Algebra Works: Cryptographic Technician	202	(1)
Solve Systems Using Inverse Matrices	203	(7)
Project Connection	208	(1)
Algebra Works: Safety Engineer	209	(1)
Determinants and Cramer's Rule	210	(6)
Problem Solving File: Using Matrices with Directed Graphs	216	(13)
Review Problem Solving Strategies	219
Mixed Review	215	(5)
Chapter Review	220	(2)
Chapter Assessment
Chapter Test	222	(1)
Performance Assessment	223	(1)
Project Assessment	223	(1)
Cumulative Review	224	(1)
Standardized Test	225	(1)
Polynomials and Factoring
Theme: Profit and Loss
Data Activity: Product Changes	226	(2)
Project: The Business Game	228	(1)
Algebra Workshop: Polynomials	229	(5)
Project Connection	233	(1)
Operations with Polynomials	234	(8)
Project Connection	240	(1)
Algebra Works: Movie Theater Manager	241	(1)
Factoring	242	(7)
Factoring Completely	249	(5)
Solving Polynomial Equations by Factoring	254	(8)
Project Connection	260	(1)
Algebra Works: Manufacturer	261	(1)
Problem Solving File: Use Algebra to Generalize	262	(13)
Review Problem Solving Strategies	265
Mixed Review	260	(6)
Chapter Review	266	(2)
Chapter Assessment
Chapter Test	268	(1)
Performance Assessment	269	(1)
Project Assessment	269	(1)
Cumulative Review	270	(1)
Standardized Test	271	(1)
Quadratic Functions and Equations
Theme: Transportation
Data Activity: Now Boarding	272	(2)
Project: Everybody's on the Move	274	(1)
Solve Quadratic Equations by Completing the Square	275	(7)
Project Connection	280	(1)
Algebra Works: Engine Mechanic	281	(1)
Algebra Workshop: Explore Quadratic Functions	282	(5)
Project Connection	285	(1)
Algebra Works: Cartographer	286	(1)
Graph Quadratic Functions	287	(9)
Project Connection	294	(1)
Algebra Works: Bridge Engineer	295	(1)
Use the Quadratic Formula	296	(7)
Solve Equations in Quadratic Form	303	(5)
Problem Solving File: Uniform and Nonuniform Motion	308	(13)
Review Problem Solving Strategies	311
Mixed Review	307	(5)
Chapter Review	312	(2)
Chapter Assessment
Chapter Test	314	(1)
Performance Assessment	315	(1)
Project Assessment	315	(1)
Cumulative Review	316	(1)
Standardized Test	317	(1)
Inequalities and Linear Programming
Theme: Government
Data Activity: Can We Count on You?	318	(2)
Project: Taxing Facts	320	(1)
Algebra Workshop: Graph Linear Inequalities	321	(3)
Graph Systems of Linear Inequalities	324	(8)
Project Connection	330	(1)
Algebra Works: IRS Customer Service Representative	331	(1)
Solve Quadratic Inequalities in One Variable	332	(7)
Project Connection	338	(1)
Graph Quadratic Inequalities	339	(7)
Project Connection	345	(1)
Algebra Workshop: Systems of Inequalities: Polygonal Regions	346	(4)
Algebra Works: Member of Congress	349	(1)
The Objective Function	350	(8)
Algebra Works: Environmental Protection Agent	357	(1)
Problem Solving File: Linear Programming in Investment Planning	358	(13)
Review Problem Solving Strategies	361
Mixed Review	356	(6)
Chapter Review	362	(2)
Chapter Assessment
Chapter Test	364	(1)
Performance Assessment	365	(1)
Project Assessment	365	(1)
Cumulative Review	366	(1)
Standardized Test	367	(1)
Exponents and Radicals
Theme: Aerospace
Data Activity: Flying High	368	(2)
Project: Blast Off!	370	(1)
Algebra Workshop: Explore Exponents and Radicals	371	(3)
Rational Exponents and Radicals	374	(7)
Project Connection	379	(1)
Algebra Works: Meteorologist	380	(1)
Algebra Workshop: Graphing Radical Functions	381	(4)
Exponential and Radical Expressions	385	(7)
Project Connection	390	(1)
Algebra Works: Aerospace Engineer	391	(1)
Solve Radical Equations	392	(7)
Project Connection	398	(1)
Complex Numbers and the Quadratic Equation	399	(6)
Operations with Complex Numbers	405	(5)
Problem Solving File: Using Formulas: Annuities	410	(13)
Review Problem Solving Strategies	413
Mixed Review	409	(5)
Chapter Review	414	(2)
Chapter Assessment
Chapter Test	416	(1)
Performance Assessment	417	(1)
Project Assessment	417	(1)
Cumulative Review	418	(1)
Standardized Test	419	(1)
Exponential and Logarithmic Functions
Theme: Populations
Data Activity: Counting Many Heads	420	(2)
Project: America: Land of How Many?	422	(1)
Algebra Workshop: Explore Exponential Functions	423	(5)
Exponential Functions	428	(8)
AlgebraWorks: Oncologist	435	(1)
Logarithmic Functions	436	(7)
Project Connection	441	(1)
Algebra Works: Seismologist	442	(1)
Properties of Logarithms	443	(6)
Project Connection	448	(1)
Natural Logarithms	449	(5)
Project Connection	453	(1)
Solve Exponential and Logarithmic Equations	454	(6)
Algebra Works: Population Ecologist	459	(1)
Problem Solving File: Compound Interest	460	(13)
Review Problem Solving Strategies	463
Mixed Review	458	(6)
Chapter Review	464	(2)
Chapter Assessment
Chapter Test	466	(1)
Performance Assessment	467	(1)
Project Assessment	467	(1)
Cumulative Review	468	(1)
Standardized Test	469	(1)
Polynomial Functions
Theme: Amusement Parks
Data Activity: Fun for All Ages	470	(2)
Project: Scream Machines	472	(1)
Division of Polynomials	473	(6)
Project Connection	478	(1)
Synthetic Division and the Remainder and Factor Theorems	479	(7)
Project Connection	485	(1)
Algebra Workshop: Graphs of Polynomial Functions	486	(5)
Algebra Works: Demographer	490	(1)
Polynomial Equations	491	(9)
Project Connection	498	(1)
Algebra Works: Amusement Park Engineer	499	(1)
Problem Solving File: The Method of Finite Differences	500	(13)
Review Problem Solving Strategies	503
Mixed Review	498	(6)
Chapter Review	504	(2)
Chapter Assessment
Chapter Test	506	(1)
Performance Assessment	507	(1)
Project Assessment	507	(1)
Cumulative Review	508	(1)
Standardized Test	509	(1)
Rational Expressions and Equations
Theme: Photography
Data Activity: Importing and Exporting	510	(2)
Project: Making Enlargements	512	(1)
Algebra Workshop: Explore Rational Functions	513	(4)
Graph Rational Functions	517	(7)
Project Connection	523	(1)
Inverse and Joint Variation	524	(7)
Project Connection	529	(1)
Algebra Works: Lens Designer	530	(1)
Simplify, Multiply, and Divide Rational Expressions	531	(5)
Adding and Subtracting Rational Expressions	536	(7)
Project Connection	541	(1)
AlgebraWorks: Photographer	542	(1)
Simplifying Complex Rational Expressions	543	(5)
Solve Rational Equations	548	(6)
Problem Solving File: Area Under a Curve	554	(13)
Review Problem Solving Strategies	557
Mixed Review	553	(5)
Chapter Review	558	(2)
Chapter Assessment
Chapter Test	560	(1)
Performance Assessment	561	(1)
Project Assessment	561	(1)
Cumulative Review	562	(1)
Standardized Test	563	(1)
Conic Sections
Theme: Communication
Data Activity: Hello, Hello!	564	(2)
Project: Conics on Camera	566	(1)
The Distance and Midpoint Formulas	567	(5)
Algebra Workshop: Explore Conic Sections	572	(3)
Project Connection	574	(1)
Circles	575	(6)
Project Connection	580	(1)
Ellipses	581	(6)
Algebra Works: Acoustical Engineer	586	(1)
Hyperbolas	587	(5)
Parabolas	592	(6)
Project Connection	596	(1)
Algebra Works: Telecommunications Engineer	597	(1)
Identify Equations of Conic Sections	598	(5)
Graph and Solve Quadratic Systems	603	(7)
AlgebraWorks: Physician	609	(1)
Problem Solving File: Use Conics in Astronomy	610	(13)
Review Problem Solving Strategies	613
Mixed Review	608	(6)
Chapter Review	614	(2)
Chapter Assessment
Chapter Test	616	(1)
Performance Assessment	617	(1)
Project Assessment	617	(1)
Cumulative Review	618	(1)
Standardized Test	619	(1)
Sequences and Series
Theme: Design
Data Activity: If the Ring Fits, Wear It	620	(2)
Project: Exploring Fractals	622	(1)
Algebra Workshop: Exploring Patterns and Sequences	623	(3)
Sequences	626	(7)
Project Connection	631	(1)
Algebra Works: Quilt Designer	632	(1)
Arithmetic and Geometric Sequences	633	(6)
Arithmetic and Geometric Series	639	(7)
Project Connection	644	(1)
Algebra Works: Computer Graphic Artist	645	(1)
Infinite Geometric Series	646	(7)
Algebra Works: Architect	652	(1)
The Binomial Theorem	653	(5)
Project Connection	657	(1)
Problem Solving File: Convergence and Divergence	658	(13)
Review Problem Solving Strategies	661
Mixed Review	657	(5)
Chapter Review	662	(2)
Chapter Assessment
Chapter Test	664	(1)
Performance Assessment	665	(1)
Project Assessment	665	(1)
Cumulative Review	666	(1)
Standardized Test	667	(1)
Probability and Statistics
Theme: Insuring America
Data Activity: Fire! Fire!	668	(2)
Project: Taking a Home Inventory	670	(1)
Permutations	671	(8)
Project Connection	677	(1)
Algebra Works: Locksmith	678	(1)
Combinations	679	(7)
Compound Probability	686	(9)
Algebra Works: Insurance Agent	694	(1)
Independent and Dependent Events	695	(8)
Project Connection	702	(1)
The Normal Distribution	703	(7)
The Binomial Distribution	710	(7)
Algebra Works: Travel Agent	716	(1)
Use Simulations	717	(7)
Project Connection	723	(1)
Problem Solving File: Polls and Sampling	724	(13)
Review Problem Solving Strategies	727
Mixed Review	723	(5)
Chapter Review	728	(2)
Chapter Assessment
Chapter Test	730	(1)
Performance Assessment	731	(1)
Project Assessment	731	(1)
Cumulative Review	732	(1)
Standardized Test	733	(1)
Trigonometric Functions and Graphs
Theme: Navigation
Data Activity: When Your Ship Comes In	734	(2)
Project: Using Navigation Instruments	736	(1)
Radian and Degree Measure	737	(6)
Project Connection	742	(1)
Algebra Workshop: Angles of Rotation	743	(3)
The Trigonometric Functions	746	(8)
Project Connection	752	(1)
Algebra Works: Pilot	753	(1)
Problem Solving File: Right Triangle Trigonometry	754	(4)
Review Problem Solving Strategies	757	(1)
Oblique Triangle Trigonometry	758	(7)
Algebra Works: Navigator	764	(1)
Algebra Workshop: Graphs of the Trigonometric Functions	765	(5)
Transformations of Graphs	770	(8)
Project Connection	777	(1)
Inverse Trigonometric Functions	778	(13)
Mixed Review	781	(1)
Chapter Review	782	(2)
Chapter Assessment
Chapter Test	784	(1)
Performance Assessment	785	(1)
Project Assessment	785	(1)
Cumulative Review	786	(1)
Standardized Test	787	(1)
Trigonometric Identities and Equations
Theme: Sound
Data Activity: Moving at the Speed of Sound	788	(2)
Project: Listen Here!	790	(1)
Prove Trigonometric Identities	791	(7)
Solve Trigonometric Equations	798	(6)
Project Connection	803	(1)
The Sum and Difference Identities	804	(8)
Project Connection	810	(1)
Algebra Works: Piano Tuner	811	(1)
Double-and Half-Angle Identities	812	(9)
Project Connection	819	(1)
Algebra Works: Aerodynamic Engineer	820	(1)
Polar Coordinates and Complex Numbers	821	(7)
Problem Solving File: Use Vectors	828
Review Problem Solving Strategies	831
Mixed Review	827
Chapter Review	832
Chapter Assessment
Chapter Test	834
Performance Assessment	835
Project Assessment	835
Cumulative Review	836
Standardized Test	837