Algebra 1

Algebra 1 textbook answersISBN: 9780130519665
Author: Prentice Hall
Published: 2001

Chapters: 1 2 3 4 5 6 7 8 9 10 11 12 13

Chapter 1

Introduction To Algebra

1-1 Symbols and Expressions Exercises p.7
1-2 The Commutative and Identity Properties Exercises p.14
1-3 Exponential Notation Exercises p.17
1-4 The Associative Properties Exercises p.22
1-5 The Distributive Property of Multiplication over Addition Exercises p.27
1-6 Writing Expressions Exercises p.30
1-7 Solving Equations: An Introduction Exercises p.36
1-8 Reasoning Strategies: Draw a Diagram Problems p.39
1-9 Using Formulas Exercises p.42
1-10 Reasoning Strategies: Try, Test, Revise Problems p.45
Chapter Wrap Up p.47
Chapter Assessment p.50

Chapter 2

Integers And Rational Numbers

2-1 Integers and Number Line Exercises p.57
2-2 Rational Numbers Exercises p.61
2-3 Addition of Rational Numbers Exercises p.68
2-4 Subtraction of Rational Numbers Exercises p.74
2-5 Multiplication of Rational Numbers Exercises p.79
2-6 Division of Rational Numbers Exercises p.84
Exercises p.86
Problems p.88
2-7 Using the Distributive Property Exercises p.91
2-8 Inverse of a Sum of Simplifying Exercises p.96
2-9 Writing Equations Problems p.100
2-10 Number Properties and Proofs Exercises p.105
Chapter Wrap Up p.107
Chapter Assessment p.110

Chapter 3


3-1 The Addition Property of Equality Exercises p.116
3-2 The Multiplication Property of Equality Exercises p.122
3-3 Using the Properties Together Exercises p.127
3-4 Expressions and Equations Exercises p.133
3-5 More on Solving Equations Exercises p.137
3-6 Clearing an Equation of Fractions or Decimals Exercises p.140
3-7 Formulas Exercises p.143
3-8 Solving Equations Involving Absolute Value Exercises p.146
3-9 Proportions Exercises p.150
3-10 Using Percent Exercises p.156
3-11 More Expressions and Equations Exercises p.160
3-12 Reasoning Strategies: Make an Organized List Problems p.164
Chapter Wrap Up p.165
Chapter Assessment p.168

Chapter 4


4-1 Inequalities and Their Graphs Exercises p.173
4-2 The Addition Property of Inequalities Exercises p.178
4-3 The Multiplication Property of Inequalities Exercises p.182
4-4 Using the Properties Together Exercises p.184
4-5 Using Inequalities Exercises p.189
Exercises p.193
4-6 Reasoning Strategies: Use Logical Reasoning Problems p.195
Chapter Wrap Up p.196
Chapter Assessment p.197
Cumulative Review p.198

Chapter 5

Exponents And Polynomials

5-1 Exponents Exercises p.207
5-2 More with Exponents Exercises p.212
Connections: Geometry p.213
5-3 Multiplying and Dividing Polynomials Exercises p.215
5-4 Scientific Notation Exercises p.219
5-5 Polynomials Exercises p.224
5-6 More on Polynomials Exercises p.229
5-7 Addition of Polynomials Exercises p.233
5-8 Subtraction of Polynomials Exercises p.238
5-9 Multiplication of Monomials and Binomials Exercises p.242
5-10 Multiplying Binomials: Special Products Exercises p.247
5-11 Multiplying Polynomials Exercises p.251
Problems p.253
5-12 Reasoning Strategies: Make a Table, Look for a Pattern Problems p.255
Chapter Wrap Up p.256
Chapter Assessment p.259

Chapter 6

Polynomials And Factoring

6-1 Factoring Polynomials Exercises p.264
Connections: Geometry p.265
6-2 Differences of Two Squares Exercises p.268
6-3 Trinomial Squares Exercises p.271
6-4 Factoring x^2 + bx + c Exercises p.276
6-5 Factoring ax^2 + bx + c Exercises p.279
6-6 Factoring by Grouping Exercises p.282
6-7 Factoring: A General Strategy Exercises p.284
6-9 Using Equations That Factor Exercises p.285
6-7 Factoring: A General Strategy Exercises p.285
6-8 Solving Equations by Factoring Exercises p.289
6-9 Using Equations That Factor Problems p.298
Chapter Wrap Up p.299
Chapter Assessment p.301

Chapter 7

Graphs And Linear Equations

7-1 Graphing Ordered Pairs Exercises p.307
7-2 Graphing Equations Exercises p.311
7-3 Linear Equations and Their Graphs Exercises p.316
Connections: Reasoning p.317
7-4 Slope Exercises p.321
7-5 Equations and Slope Exercises p.326
Connections: Reasoning p.327
7-6 Finding the Equation of a Line Exercises p.331
7-7 Fitting Equations to Data Exercises p.335
7-8 Parallel and Perpendicular Lines Exercises p.340
7-9 Proofs Exercises p.343
7-10 Reasoning Strategies: Simplify the Problem Problems p.345
Problem p.346
Chapter Wrap Up p.347
Chapter Assessment p.350
Cumulative Review p.351

Chapter 8

Systems Of Equations

8-1 Solving Systems of Equations by Graphing Exercises p.360
8-2 The Substitution Method Exercises p.365
8-3 The Addition Method Exercises p.371
8-4 Using Systems of Equations Exercises p.377
8-5 Motion Problems Exercises p.383
Error Analysis p.386
8-6 Digit and Coin Problems Exercises p.390
Problems p.393
Problems p.394
Chapter Wrap Up p.395
Chapter Assessment p.397

Chapter 9

Inequalities And Absolute Values

9-1 Sets, Intersections, and Unions Exercises p.403
9-2 Compound Sentences Exercises p.408
Exercises p.410
9-3 Equations and Absolute Value Exercises p.412
9-4 Inequalities and Absolute Value Exercises p.415
9-5 Inequalities in Two Variables Exercises p.419
9-6 Graphing Systems of Linear Inequalities Exercises p.423
Problems p.426
Chapter Wrap Up p.427
Chapter Assessment p.429

Chapter 10

Rational Expressions And Equations

10-1 Simplifying Rational Expressions Exercises p.434
10-2 Multiplying Rational Expressions Exercises p.437
10-3 Dividing Rational Expressions Exercises p.440
10-4 Addition and Subtraction: Like Denominators Exercises p.443
10-5 Addition and Subtraction: Unlike Denominators Exercises p.448
10-6 Solving Rational Equations Exercises p.453
10-7 Using Rational Equations Exercises p.458
10-8 Mixture Problems Exercises p.462
10-9 Dividing Polynomials Exercises p.467
Exercises p.468
10-10 Complex Rational Expressions Exercises p.470
10-11 Proofs Exercises p.474
10-12 Reasoning Strategies: Work Backward Problems p.476
Chapter Wrap Up p.477
Chapter Assessment p.479

Chapter 11

Radical Expressions And Equations

11-1 Real Numbers Exercises p.485
11-2 Radical Expressions Exercises p.489
11-3 Simplifying Radical Expressions Exercises p.493
11-4 Multiplying Radical Expressions Exercises p.496
11-5 Dividing and Simplifying Exercises p.501
11-6 Addition and Subtraction Exercises p.505
11-7 The Pythagorean Theorem Exercises p.510
11-8 Using the Pythagorean Theorem Exercises p.515
11-9 Equations with Radicals Exercises p.521
Chapter 11 Wrap Up p.525
Chapter Assessment p.528
Cumulative Review p.529

Chapter 12

Relations And Functions

12-1 Relations and Functions Exercises p.539
12-2 Functions and Graphs Exercises p.545
12-3 Linear Functions Exercises p.548
12-4 Quadratic Functions Exercises p.554
12-5 Direct Variation Exercises p.559
12-6 Inverse Variation Exercises p.563
12-7 Joint and Combined Variation Exercises p.568
Chapter Wrap Up p.571
Chapter Assessment p.573

Chapter 13

Quadratic Equations

13-1 Introduction to Quadratic Equations Exercises p.578
13-2 More Solving Quadratic Equations Exercises p.583
13-3 Solving by Completing the Square Exercises p.588
13-4 The Quadratic Formula Exercises p.593
13-5 Solving Rational Equations Exercises p.596
13-6 Solving Radical Equations Exercises p.600
13-7 Using Quadratic Equations Exercises p.605
Chapter Wrap Up p.609
Chapter Assessment p.611
Cumulative Review p.612

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