# Algebra 1: Concepts and Skills

ISBN: 9780547008332
Author: Holt McDougal
Published: 2010

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## Chapters: 123456789101112

### Chapter 1

Connections To Algebra

 1.1 Variables in Algebra Checkpoint p.3 Exercises p.6 1.2 Exponents and Powers Checkpoint p.9 Exercises p.12 1.3 Order of Operations Checkpoint p.15 Exercises p.18 Quiz 1 p.21 1.4 Equations and Inequalities Checkpoint p.25 Exercises p.27 1.5 Translating Words into Mathematical Symbols Checkpoint p.30 Exercises p.33 Quiz 2 p.35 1.6 A Problem Solving Plan Using Models Checkpoint p.37 Exercises p.39 1.7 Tables and Graphs Checkpoint p.42 Exercises p.45 1.8 An Introduction to Functions Checkpoint p.50 Exercises p.51 Quiz 3 p.54 Chapter Summary and Review p.55 Chapter Test p.59 Chapter Standardized Test p.60 Maintaining Skills p.61

### Chapter 2

Properties Of Real Numbers

 2.1 The Real Number Line Checkpoint p.66 Exercises p.68 2.2 Absolute Value Checkpoint p.72 Exercises p.74 2.3 Adding Real Numbers Checkpoint p.78 Exercises p.81 Quiz 1 p.83 2.4 Subtracting Real Numbers Checkpoint p.87 Exercises p.89 2.5 Multiplying Real Numbers Checkpoint p.93 Exercises p.96 2.6 The Distributive Property Checkpoint p.100 Exercises p.103 Quiz 2 p.106 2.7 Combining Like Terms Checkpoint p.107 Exercises p.110 2.8 Dividing Real Numbers Checkpoint p.114 Exercises p.116 Quiz 3 p.118 Chapter Summary and Review p.121 Chapter Test p.125 Chapter Standardized Test p.126 Maintaining Skills p.127

### Chapter 3

Solving Linear Equations

 3.1 Solving Equations Using Addition and Subtraction Checkpoint p.133 Exercises p.135 3.2 Solving Equations Using Multiplication and Division Checkpoint p.139 Exercises p.141 3.3 Solving Multi-Step Equations Checkpoint p.144 Exercises p.147 Quiz 1 p.149 3.4 Solving Equations with Variables on Both Sides Checkpoint p.152 Exercises p.154 3.5 More on Linear Equations Checkpoint p.158 Exercises p.160 3.6 Solving Decimal Equations Checkpoint p.163 Exercises p.166 Quiz 2 p.169 3.7 Formulas Checkpoint p.172 Exercises p.174 3.8 Ratios and Rates Checkpoint p.177 Exercises p.180 3.9 Percents Checkpoint p.184 Exercises p.186 Quiz 3 p.188 Chapter Summary and Review p.189 Chapter Test p.193 Chapter Standardized Test p.194 Cumulative Practice: Chapters 1-3 p.196

### Chapter 4

Graphing Linear Equations And Functions

 4.1 The Coordinate Plane Checkpoint p.203 Exercises p.206 4.2 Graphing Linear Equations Checkpoint p.210 Exercises p.213 4.3 Graphing Horizontal and Vertical Lines Checkpoint p.216 Exercises p.219 Quiz 1 p.221 4.4 Graphing Lines Using Intercepts Checkpoint p.223 4.5 The Slope of a Line Checkpoint p.230 Exercises p.233 4.6 Direct Variation Checkpoint p.236 Exercises p.239 Quiz 2 p.241 4.7 Graphing Lines Using Slope-Intercept Form Checkpoint p.244 Exercises p.246 4.8 Functions and Relations Checkpoint p.253 Exercises p.255 Quiz 3 p.258 Chapter Summary and Review p.259 Chapter Test p.263 Chapter Standardized Test p.264 Maintaining Skills p.265

### Chapter 5

Writing Linear Equations

 5.1 Slope-Intercept Form Checkpoint p.269 Exercises p.272 5.2 Point-Slope Form Checkpoint p.278 Exercises p.281 Quiz 1 p.284 5.3 Writing Linear Equations Given Two Points Checkpoint p.285 Exercises p.288 5.4 Standard Form Checkpoint p.291 Exercises p.294 Quiz 2 p.297 5.5 Modeling with Linear Equations Checkpoint p.298 Exercises p.301 5.6 Perpendicular Lines Checkpoint p.306 Exercises p.309 Chapter Summary and Review p.313 Chapter Test p.317 Chapter Standardized Test p.318 Maintaining Skills p.319

### Chapter 6

Solving And Graphing Linear Inequalities

 6.3 Solving Multi-Step Equations Quiz 1 p.314 6.1 Solving Inequalities Using Addition or Subtraction Checkpoint p.323 Exercises p.326 6.2 Solving Inequalities Using Multiplication or Division Checkpoint p.331 Exercises p.333 6.3 Solving Multi-Step Equations Checkpoint p.336 Exercises p.339 6.4 Solving Compound Inequalities involving “And” Checkpoint p.342 Exercises p.345 6.5 Solving Compound Inequalities Involving “Or” Checkpoint p.348 Exercises p.351 6.6 Solving Absolute-Value Equations Checkpoint p.355 Exercises p.358 Quiz 2 p.360 6.7 Solving Absolute-Value Inequalities Checkpoint p.362 Exercises p.364 6.8 Graphing Linear Inequalities in Two Variables Checkpoint p.368 Exercises p.370 Quiz 3 p.373 Chapter Summary and Review p.375 Chapter Test p.379 Chapter Standardized Test p.380 Maintaining Skills p.381 Cumulative Practice: Chapters 1-6 p.382

### Chapter 7

Systems Of Linear Equations And Inequalities

 7.1 Graphing Linear Systems Checkpoint p.390 Exercises p.392 7.2 Solving Linear Systems by Substitution Checkpoint p.397 Exercises p.399 7.3 Solving Linear Systems by Linear Combinations Checkpoint p.402 Exercises p.405 Quiz 1 p.408 7.4 Linear Systems and Problem Solving Checkpoint p.410 Exercises p.412 7.5 Special Types of Linear Systems Checkpoint p.417 Exercises p.420 7.6 Systems of Linear Inequalities Checkpoint p.425 Exercises p.427 Quiz 2 p.430 Chapter Summary and Review p.431 Chapter Test p.435 Chapter Standardized Test p.436 Maintaining Skills p.437

### Chapter 8

Exponents And Exponential Functions

 8.1 Multiplication Properties of Exponents Checkpoint p.443 Exercises p.446 8.2 Zero and Negative Exponents Checkpoint p.450 Exercises p.452 8.3 Graphs of Exponential Functions Checkpoint p.455 Exercises p.458 Quiz 1 p.460 8.4 Division Properties of Exponents Checkpoint p.462 Exercises p.465 8.5 Scientific Notation Checkpoint p.469 Exercises p.472 Quiz 2 p.474 8.6 Exponential Growth Functions Checkpoint p.476 Exercises p.479 8.7 Exponential Decay Functions Checkpoint p.482 Exercises p.485 Quiz 3 p.488 Chapter Summary and Review p.489 Chapter Test p.493 Chapter Standardized Test p.494 Maintaining Skills p.495

### Chapter 9

 9.1 Square Roots Checkpoint p.499 Exercises p.502 9.2 Solving Quadratic Equations by Finding Square Roots Checkpoint p.505 Exercises p.508 9.3 Simplifying Radicals Checkpoint p.511 Exercises p.514 Quiz 1 p.517 Quiz 1 p.517 Checkpoint p.520 Exercises p.523 9.5 Solving Quadratic Equations by Graphing Checkpoint p.526 Exercises p.529 9.6 Solving Quadratic Equations by the Quadratic Formula Checkpoint p.533 Checkpoint p.533 Exercises p.536 Quiz 2 p.539 9.7 Using the Discriminant Checkpoint p.541 Exercises p.543 9.8 Graphing Quadratic Inequalities Checkpoint p.547 Exercises p.550 Quiz 3 p.552 Chapter Summary and Review p.553 Chapter Test p.557 Chapter Standardized Test p.558 Maintaining Skills p.559 Cumulative Practice: Chapters 1-9 p.560

### Chapter 10

Polynomials And Factoring

 10.1 Adding and Subtracting Polynomials Checkpoint p.568 Exercises p.571 10.2 Multiplying Polynomials Checkpoint p.575 Exercises p.578 10.3 Special Products of Polynomials Checkpoint p.582 Exercises p.585 Quiz 1 p.587 10.4 Solving Quadratic Equations in Factored Form Checkpoint p.588 Exercises p.591 10.5 Factoring x^2 + bx + c Checkpoint p.595 Exercises p.599 10.6 Factoring ax^2 + bx +c Checkpoint p.603 Exercises p.606 Quiz 2 p.608 10.7 Factoring Special Products Checkpoint p.610 Exercises p.613 10.8 Factoring Cubic Polynomials Checkpoint p.616 Exercises p.620 Quiz 3 p.622 Chapter Summary and Review p.623 Chapter Test p.627 Chapter Standardized Test p.628 Maintaining Skills p.629

### Chapter 11

Rational Expressions And Equations

 11.1 Proportions Checkpoint p.634 Exercises p.636 11.2 Direct and Inverse Variation Checkpoint p.640 Exercises p.642 11.3 Simplifying Rational Expressions Checkpoint p.647 Exercises p.649 Quiz 1 p.651 11.4 Multiplying and Dividing Rational Expressions Checkpoint p.653 Exercises p.655 11.5 Adding and Subtracting with Like Denominators Checkpoint p.659 Exercises p.660 11.6 Adding and Subtracting with Unlike Denominators Checkpoint p.663 Exercises p.667 11.7 Rational Equations Checkpoint p.670 Exercises p.674 Quiz 2 p.677 Chapter Summary and Review p.681 Chapter Test p.685 Chapter Standardized Test p.686 Maintaining Skills p.687

### Chapter 12

Radicals And More Connections To Geometry

 12.1 Functions Involving Square Roots Checkpoint p.692 Exercises p.695 12.2 Operations with Radical Expressions Checkpoint p.698 Exercises p.701 12.3 Solving Radical Equations Checkpoint p.705 Exercises p.707 Quiz 1 p.709 12.4 Rational Exponents Checkpoint p.711 Exercises p.713 12.5 Completing the Square Checkpoint p.716 Exercises p.719 12.6 The Pythagorean Theorem and Its Converse Checkpoint p.725 Exercises p.727 Quiz 2 p.729 12.7 The Distance Formula Checkpoint p.731 Exercises p.733 12.8 The Midpoint Formula Checkpoint p.736 Exercises p.738 12.9 Logical Reasoning: Proof Checkpoint p.741 Exercises p.743 Quiz 3 p.746 Chapter Summary and Review p.747 Chapter Test p.751 Chapter Standardized Test p.752 Cumulative Practice: Chapters 1-12 p.754