9780201812480

Addison-Wesley : Algebra

by
  • ISBN13:

    9780201812480

  • ISBN10:

    0201812487

  • Edition: Student
  • Format: Hardcover
  • Copyright: 1994-01-01
  • Publisher: PRENTICE HALL SCHOOL GROUP

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Table of Contents

Introduction to Algebra
Ready for Introduction to Algebra?
2(2)
Symbols and Expressions
4(5)
Calculator: Order of Operations
7(2)
The Commutative and Identity Properties
9(6)
Exponential Notation
15(4)
Calculator: Evaluating Expressions Involving Exponents
17(2)
The Associative Properties
19(5)
Calculator: Evaluating Expressions
20(4)
The Distributive Property of Multiplication over Addition
24(5)
Explore
24(4)
Writing to Learn
28(1)
Problem Solving: Writing Expressions
29(4)
Historical Note
32(1)
Solving Equations: An Introduction
33(5)
Explore
33(5)
Problem Solving: Strategies Draw a Diagram
38(2)
Using Formulas
40(4)
Problem for Programmers
43(1)
Problem Solving: Strategies Guess, Check, Revise
44(10)
Summary and Review
47(3)
Test
50(2)
Integers and Rational Numbers
Ready for Integers and Rational Numbers?
52(2)
Integers and the Number Line
54(5)
Connections: Geometry
58(1)
Rational Numbers
59(4)
Addition of Rational Numbers
63(8)
Subtraction of Rational Numbers
71(6)
Calculator: Adding and Subtracting Rational Numbers
73(3)
Historical Note
76(1)
Multiplication of Rational Numbers
77(4)
Explore
77(3)
Subsets of the Rational Numbers
80(1)
Division of Rational Numbers
81(8)
Problem for Programmers
86(1)
Bonus Topic: Terminating and Repeating Decimals
86(1)
Problem Solving: Application Moment Problems
87(2)
Using the Distributive Property
89(4)
Inverse of a Sum and Simplifying
93(5)
Problem Solving: Strategies Write an Equation
98(4)
Number Properties and Proofs
102(12)
Summary and Review
107(3)
Test
110(2)
Equations
Ready for Equations?
112(2)
The Addition Property of Equality
114(5)
Explore
114(5)
The Multiplication Property of Equality
119(6)
Using the Properties Together
125(5)
Connections: Geometry
129(1)
Problem Solving: Expressions and Equations
130(6)
Problem for Programmers
135(1)
More on Solving Equations
136(3)
Clearing an Equation of Fractions or Decimals
139(3)
Formulas
142(3)
Solving Equations Involving Absolute Value
145(3)
Looking for Errors
147(1)
Problem Solving: Proportions
148(4)
Problem Solving: Using Percent
152(6)
Math History
152(2)
Calculator: Percents
154(4)
Problem Solving: More Expressions and Equations
158(5)
Problem Solving: Strategies Make an Organized List
163(9)
Summary and Review
165(3)
Test
168(2)
Inequalities
Ready for Inequalities?
170(2)
Inequalities and Their Graphs
172(3)
The Addition Property of Inequalities
175(5)
Connections: Geometry
179(1)
The Multiplication Property of Inequalities
180(3)
Using the Properties Together
183(4)
Biographical Note: George Polya
186(1)
Problem Solving: Using Inequalities
187(7)
Problem for Programmers
191(1)
Connections: Discrete Math If-Then Statements
192(1)
Problem Solving: Application Reading Graphs
193(1)
Problem Solving: Strategies Use Logical Reasoning
194(10)
Summary and Review
196(1)
Test
197(1)
Cumulative Review
198(4)
Exponents and Polynomials
Ready for Exponents and Polynomials?
202(2)
Exponents
204(5)
More with Exponents
209(5)
Calculator: Evaluating Expressions
209(4)
Suppose
213(1)
Multiplying and Dividing Monomials
214(3)
Scientific Notation
217(4)
Calculator: Calculating with Scientific Notation
219(2)
Polynomials
221(5)
More on Polynomials
226(5)
Calculator: Evaluating Polynomials
228(3)
Addition of Polynomials
231(5)
Problem for Programmers
235(1)
Subtraction of Polynomials
236(4)
Multiplication of Monomials and Binomials
240(5)
Looking for Errors
244(1)
Multiplying Binomials: Special Products
245(4)
Writing to Learn
248(1)
Multiplying Polynomials
249(5)
Problem Solving: Application Formulas in Health Care
253(1)
Problem Solving: Strategies Make a Table, Look for a Pattern
254(8)
Summary and Review
256(3)
Test
259(1)
Polynomials and Factoring
Ready for Polynomials and Factoring?
260(2)
Factoring Polynomials
262(4)
Explore
262(3)
Connections: Geometry
265(1)
Differences of Two Squares
266(4)
Trinomial Squares
270(3)
Factoring x2 + bx + c
273(5)
Suppose
277(1)
Factoring ax2 + bx + c
278(3)
Writing to Learn
280(1)
Factoring by Grouping
281(2)
Factoring: A General Strategy
283(3)
Connections: Discrete Math Binomial Expansion
285(1)
Solving Equations by Factoring
286(5)
Problem for Programmers
290(1)
Problem Solving: Using Equations
291(13)
Biographical Note: Thomas Harriot
296(1)
Problem Solving: College Entrance Exams Factoring
297(2)
Summary and Review
299(2)
Test
301(1)
Graphs and Linear Equations
Ready for Graphs and Linear Equations?
302(2)
Graphing Ordered Pairs
304(5)
Math History
304(5)
Graphing Equations
309(4)
Linear Equations and Their Graphs
313(5)
Explore
313(4)
Spatial Relations
317(1)
Slope
318(5)
Writing to Learn
322(1)
Equations and Slope
323(5)
Explore
323(4)
Suppose
327(1)
Finding the Equation of a Line
328(5)
Problem Solving: Fitting Equations to Data
333(5)
Parallel and Perpendicular Lines
338(4)
Explore
338(3)
Problem for Programmers
341(1)
Proofs
342(2)
Problem Solving: Strategies Simplify the Problem
344(14)
Problem Solving: Application Compound Interest
346(1)
Summary and Review
347(3)
Test
350(1)
Cumulative Review
351(5)
Systems of Equations
Ready for Systems of Equations?
356(2)
Solving Systems of Equations by Graphing
358(4)
Explore
358(4)
The Substitution Method
362(5)
Problem for Programmers
366(1)
The Addition Method
367(6)
Problem Solving: Using Systems of Equations
373(7)
Problem Solving: Motion Problems
380(7)
Looking for Errors
386(1)
Problem Solving: Digit and Coin Problems
387(13)
Problem Solving: College Entrance Exams Systems of Equations
392(2)
Problem Solving: Application Sales Taxes
394(1)
Summary and Review
395(2)
Test
397(1)
Inequalities and Absolute Value
Ready for Inequalities and Absolute Value?
398(2)
Sets, Intersections, and Unions
400(5)
Suppose
404(1)
Compound Sentences
405(6)
Connections: Discrete Math Truth Tables
410(1)
Equations and Absolute Value
411(2)
Inequalities and Absolute Value
413(4)
Explore
413(3)
Problem for Programmers
416(1)
Inequalities in Two Variables
417(4)
Writing to Learn
420(1)
Graphing Systems of Linear Inequalities
421(11)
Problem Solving: College Entrance Exams Quantitative Comparisons
425(2)
Summary and Review
427(2)
Test
429(1)
Rational Expressions and Equations
Ready for Rational Expressions and Equations?
430(2)
Simplifying Rational Expressions
432(4)
Explore
432(3)
Looking for Errors
435(1)
Multiplying Rational Expressions
436(3)
Dividing Rational Expressions
439(3)
Addition and Subtraction: Like Denominators
442(3)
Addition and Subtraction: Unlike Denominators
445(6)
Connections: Geometry
450(1)
Solving Rational Equations
451(4)
Problem Solving: Using Rational Equations
455(5)
Problem for Programmers
459(1)
Problem Solving: Mixture Problems
460(5)
Suppose
464(1)
Dividing Polynomials
465(4)
The Rule of False Position
468(1)
Complex Rational Expressions
469(3)
Biographical Note: Mary Somerville
471(1)
Proofs
472(3)
Problem Solving: Strategies Work Backward
475(7)
Summary and Review
477(2)
Test
479(1)
Radical Expressions and Equations
Ready for Radical Expressions and Equations?
480(2)
Real Numbers
482(5)
Calculator: Square Roots
484(2)
The Density Property
486(1)
Radical Expressions
487(4)
Math History
487(1)
Calculator: Evaluating Radical Expressions
488(2)
Connections: Geometry
490(1)
Simplifying Radical Expressions
491(4)
Explore
491(3)
Bonus Topic: Cube Roots
494(1)
Multiplying Radical Expressions
495(3)
Bonus Topic: Approximating Square Roots
497(1)
Dividing and Simplifying
498(6)
Explore
498(5)
Bonus Topic: Rational Exponents
503(1)
Calculator: Finding Roots
503(1)
Addition and Subtraction
504(5)
Problem Solving: Application Injury Severity Score
507(2)
The Pythagorean Theorem
509(5)
Calculator: Finding Missing Lengths
510(2)
Problem for Programmers
512(1)
Bonus Topic: The Distance Formula
513(1)
Problem Solving: Using the Pythagorean Theorem
514(5)
Writing to Learn
518(1)
Equations with Radicals
519(17)
Problem Solving: College Entrance Exams Odd and Even Problems
523(2)
Summary and Review
525(3)
Test
528(1)
Cumulative Review
529(5)
Relations and Functions
Ready for Relations and Functions?
534(2)
Relations and Functions?
536(6)
Calculator: Evaluating Functions
539(2)
Writing to Learn
541(1)
Functions and Graphs
542(5)
Explore
542(3)
Problem for Programmers
545(1)
Biographical Note: Leonard Euler
545(1)
Bonus Topic: Exploring Absolute Value Functions
546(1)
Problem Solving: Linear Functions
547(5)
Connections: Discrete Math Interval Graphs
550(2)
Quadratic Functions
552(5)
Explore
552(4)
Connections: Geometry
556(1)
Direct Variation
557(4)
Inverse Variation
561(4)
Spatial Relations
564(1)
Joint and Combined Variation
565(11)
Problem Solving: Situational Problem Solving Starting a Business
570(1)
Summary and Review
571(2)
Test
573(1)
Quadratic Equations
Ready for Quadratic Equations?
574(2)
Introduction to Quadratic Equations
576(4)
More Solving Quadratic Equations
580(6)
Connections: Geometry
585(1)
Solving by Completing the Square
586(3)
The Quadratic Formula
589(6)
Calculator: Approximating Solutions of Quadratic Equations
592(3)
Solving Rational Equations
595(3)
Problem for Programmers
597(1)
Solving Radical Equations
598(4)
Looking for Errors
601(1)
Problem Solving: Quadratic Equations
602(12)
Problem Solving: Applications Annual Percentage Rate
607(1)
Problem Solving: Situational Problem Solving Designing a School Picnic
608(1)
Summary and Review
609(2)
Test
611(1)
Trigonometry
Ready for Trigonometry?
612(2)
Similar Right Triangles
614(5)
Trigonometric Ratios
619(6)
Calculator Investigation
624(1)
Trigonometric Values
625(3)
Calculator: Finding Trigonometric Values
625(1)
Calculator: Finding Angles
626(2)
Problem Solving: Right Triangle Problems
628(12)
Problem for Programmers
632(1)
Problem Solving: Application Surveying
633(1)
Problem Solving: Situational Problem Solving Designing a Park
634(1)
Summary and Review
635(2)
Test
637(1)
Introduction to Probability and Statistics
Ready for Introduction to Probability and Statistics?
638(2)
Probability
640(4)
Math History
640(3)
Probability: It's a Small World
643(1)
More on Probability
644(5)
Experimental Probability and Simulation
649(4)
Statistics: Organizing Data
653(4)
Graphs of Data
657(4)
Measures of Central Tendency
661(4)
Problem for Programmers
664(1)
Scatter Plots and Data Relationships
665(19)
Problem Solving: Application Weather Vane Plot
669(2)
Problem Solving: College Entrance Exams Averages
671(2)
Summary and Review
673(2)
Test
675(2)
Cumulative Review
677(7)
Appendix
Mixed Practice
684(30)
Computer Exploration
714(10)
TI-81 Investigations
724(16)
Milestones in Mathematics
740(4)
Tables
744(5)
Table 1 Squares and Square Roots
745(1)
Table 2 Values of Trigonometric Functions
746(1)
Table 3 Geometric Formulas
747(1)
Table 4 Symbols
748(1)
Glossary 749(8)
Selected Answers 757(38)
Index 795

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