Algebra 1 Volume One : Integration Applications Connections

by Collins, William; Foster, Alan G.; Winters, Leslie J.; Swart, William L.; Cuevas, Gilbert J.; Rath, James; Moore-Harris; Gordon, Berchie

• ISBN13: 9780028253336
• ISBN10: 0028253337
• Format: Hardcover
• Copyright: 1998-01-01
• Publisher: Glencoe/McGraw-Hill School Pub Co

Table of Contents

Getting Acquainted with the Graphing Calculator	2	(2)
Exploring Expressions, Equations, and Functions	4	(66)
Variables and Expressions	6	(6)
Patterns and Sequences	12	(7)
Order of Operations	19	(6)
Integration: Statistics Stem-and-Leaf Plots	25	(7)
Open Sentences	32	(5)
Self Test	36	(1)
Identity and Equality Properties	37	(8)
Modeling Mathematics: The Distributive Property	44	(1)
The Distributive Property	45	(6)
Commutative and Associative Properties	51	(5)
A Preview of Graphs and Functions	56	(14)
Highlights	63	(1)
Study Guide and Assessment	64	(6)
Exploring Rational Numbers	70	(70)
Integers and the Number Line	72	(6)
Integration: Statistics Line Plots	78	(7)
Modeling Mathematics: Adding and Subtracting Integers	84	(1)
Adding and Subtracting Integers	85	(8)
Rational Numbers	93	(7)
Self Test	99	(1)
Adding and Subtracting Rational Numbers	100	(6)
Modeling Mathematics: Multiplying Integers	105	(1)
Multiplying Rational Numbers	106	(6)
Dividing Rational Numbers	112	(7)
Modeling Mathematics: Estimating Square Roots	118	(1)
Square Roots and Real Numbers	119	(7)
Problem Solving: Write Equations and Formulas	126	(14)
Highlights	133	(1)
Study Guide and Assessment	134	(4)
Comulative Review, Chapters 1-2	138	(2)
Solving Linear Equations	140	(52)
Modeling Mathematics: Solving One-Step Equations	142	(2)
Solving Equations by Using Addition and Subtraction	144	(6)
Solving Equations by Using Multiplication and Division	150	(6)
Modeling Mathematics: Solving Multi-Step Equations	155	(1)
Solving Multi-Step Equations	156	(6)
Self Test	161	(1)
Integration: Geometry Angles and Triangles	162	(6)
Solving Equations with the Variable on Both Sides	168	(5)
Solving Equations and Formulas	173	(5)
Integration: Statistics Measures of Central Tendency	178	(14)
Highlights	185	(1)
Study Guide and Assessment	186	(6)
Using Proportional Reasoning	192	(60)
Modeling Mathematics: Ratios	194	(1)
Ratios and Proportions	195	(6)
Integration: Geometry Similar Triangles	201	(5)
Integration: Trigonometry Trigonometric Ratios	206	(9)
Percents	215	(7)
Self Test	221	(1)
Percent of Change	222	(6)
Integration: Probability Probability and Odds	228	(5)
Weighted Averages	233	(6)
Direct and Inverse Variation	239	(13)
Highlights	245	(1)
Study Guide and Assessment	246	(4)
Cumulative Review, Chapters 1-4	250	(2)
Graphing Relations and Functions	252	(70)
The Coordinate Plane	254	(8)
Graphing Technology: Relations	260	(2)
Relations	262	(9)
Graphing Technology: Equations	270	(1)
Equations as Relations	271	(9)
Graphing Technology: Linear Relations and Functions	278	(2)
Graphing Linear Equations	280	(7)
Self Test	286	(1)
Functions	287	(8)
Writing Equations from Patterns	295	(10)
Graphing Technology: Measures of Variation	303	(2)
Integration: Statistics Measures of Variation	305	(17)
Highlights	315	(1)
Study Guide and Assessment	316	(6)
Analyzing Linear Equations	322	(60)
Modeling Mathematics: Slope	324	(1)
Slope	325	(7)
Writing Linear Equations in Point-Slope and Standard Forms	332	(7)
Integration: Statistics Scatter Plots and Best-Fit Lines	339	(7)
Writing Linear Equations in Slope-Intercept Form	346	(10)
Self Test	353	(1)
Graphing Technology: Parent and Family Graphs	354	(2)
Graphing Linear Equations	356	(6)
Integration: Geometry Parallel and Perpendicular Lines	362	(7)
Integration: Geometry Midpoint of a Line Segment	369	(13)
Highlights	375	(1)
Study Guide and Assessment	376	(4)
Cumulative Review, Chapters 1-6	380	(2)
Solving Linear Inequalities	382	(68)
Solving Inequalities by Using Addition and Subtraction	384	(8)
Modeling Mathematics: Solving Inequalities	391	(1)
Solving Inequalities by Using Multiplication and Division	392	(7)
Solving Multi-Step Inequalities	399	(6)
Solving Compound Inequalities	405	(8)
Self Test	412	(1)
Integration: Probability Compound Events	413	(7)
Solving Open Sentences Involving Absolute Value	420	(7)
Integration: Statistics Box-and-Whisker Plots	427	(9)
Graphing Technology: Box-and-Whisker Plots	433	(2)
Graphing Technology: Graphing Inequalities	435	(1)
Graphing Inequalities in Two Variables	436	(14)
Highlights	443	(1)
Study Guide and Assessment	444	(6)
Solving Systems of Linear Equations and Inequalities	450	(44)
Graphing Technology: Systems of Equations	452	(2)
Graphing Systems of Equations	454	(8)
Substitution	462	(7)
Elimination Using Addition and Subtraction	469	(6)
Self Test	474	(1)
Elimination Using Multiplication	475	(7)
Graphing Systems of Inequalities	482	(12)
Highlights	487	(1)
Study Guide and Assessment	488	(4)
Cumulative Review, Chapters 1-8	492	(2)
Exploring Polynomials	494	(62)
Multiplying Monomials	496	(5)
Dividing by Monomials	501	(5)
Scientific Notation	506	(8)
Modeling Mathematics: Polynomials	513	(1)
Polynomials	514	(8)
Modeling Mathematics: Adding and Subtracting Polynomials	520	(2)
Adding and Subtracting Polynomials	522	(7)
Self Test	527	(1)
Modeling Mathematics: Multiplying a Polynomial by a Monomial	528	(1)
Multiplying a Polynomial by a Monomial	529	(7)
Modeling Mathematics: Multiplying Polynomials	534	(2)
Multiplying Polynomials	536	(6)
Special Products	542	(14)
Highlights	549	(1)
Study Guide and Assessment	550	(6)
Using Factoring	556	(52)
Factors and Greatest Common Factor	558	(7)
Modeling Mathematics: Factoring Using the Distributive Property	564	(1)
Factoring Using the Distributive Property	565	(9)
Modeling Mathematics: Factoring Trinomials	572	(2)
Factoring Trinomials	574	(7)
Self Test	580	(1)
Factoring Differences of Squares	581	(6)
Perfect Squares and Factoring	587	(7)
Solving Equations by Factoring	594	(14)
Highlights	601	(1)
Study Guide and Assessment	602	(4)
Cumulative Review, Chapters 1-10	606	(2)
Exploring Quadratic and Exponential Functions	608	(50)
Graphing Technology: Quadratic Functions	610	(1)
Graphing Quadratic Functions	611	(9)
Graphing Technology: Parent and Family Graphs	618	(2)
Solving Quadratic Equations by Graphing	620	(8)
Solving Quadratic Equations by Using the Quadratic Formula	628	(7)
Self Test	633	(1)
Graphing Technology: Exponential Functions	634	(1)
Exponential Functions	635	(8)
Growth and Decay	643	(15)
Highlights	651	(1)
Study Guide and Assessment	652	(6)
Exploring Rational Expressions and Equations	658	(52)
Simplifying Rational Expressions	660	(7)
Graphing Technology: Rational Expressions	666	(1)
Multiplying Rational Expressions	667	(4)
Dividing Rational Expressions	671	(4)
Dividing Polynomials	675	(6)
Self Test	680	(1)
Rational Expressions with Like Denominators	681	(4)
Rational Expressions with Unlike Denominators	685	(5)
Mixed Expressions and Complex Fractions	690	(6)
Solving Rational Equations	696	(14)
Highlights	703	(1)
Study Guide and Assessment	704	(4)
Cumulative Review, Chapters 1-12	708	(2)
Exploring Radical Expressions and Equations	710	(46)
Modeling Mathematics: The Pythagorean Theorem	712	(1)
Integration: Geometry The Pythagorean Theorem	713	(6)
Simplifying Radical Expressions	719	(8)
Graphing Technology: Simplifying Radical Expressions	726	(1)
Operations with Radical Expressions	727	(5)
Self Test	731	(1)
Radical Equations	732	(5)
Integration: Geometry The Distance Formula	737	(6)
Modeling Mathematics: Completing the Square	742	(1)
Solving Quadratic Equations by Completing the Square	743	(13)
Highlights	749	(1)
Study Guide and Assessment	750	(6)
Extra Practice	756	(31)
Chapter Tests	787	(7)
Glossary	794	(9)
Spanish glossary	803	(13)
Selected Answers	816	(33)
Photo Credits	849	(2)
Applications & Connections Index	851	(3)
Index	854