# Algebra 1, 4th Edition

ISBN: 9781602773011
Author: Saxon
Published: 2009

## Chapters: 123456789101112

### Chapter 1

Lessons 1 – 10, Investigation 1

 1 Classifying Real Numbers Warm Up p.2 Lesson Practice p.5 Practice p.5 2 Understanding Variables and Expressions Warm Up p.7 Lesson Practice p.9 Practice p.10 3 Simplifying Expressions Using the Product Property of Exponents Warm Up p.12 Practice p.14 Lesson Practice p.14 4 Using Order of Operations Warm Up p.17 Lesson Practice p.19 Practice p.20 5 Finding Absolute Value and Adding Real Numbers, Exploration: Modeling Real Number Addition Warm Up p.22 Exploration p.23 Lesson Practice p.25 Practice p.25 6 Subtracting Real Numbers Warm Up p.27 Lesson Practice p.28 Practice p.29 7 Simplifying and Comparing Expressions with Symbols of Inclusion Warm Up p.31 Lesson Practice p.33 Practice p.34 8 Using Unit Analysis to Convert Measures, Exploration: Using Unit Analysis Warm Up p.36 Exploration p.37 Lesson Practice p.39 Practice p.40 9 Evaluating and Comparing Algebraic Expressions Warm Up p.43 Lesson Practice p.44 Practice p.45 10 Adding and Subtracting Real Numbers Warm Up p.47 Practice p.49 Lesson Practice p.49 LAB 1 Graphing Calculator: Generating Random Numbers Lab Practice p.52 INV 1 Investigation: Determining the Probability of an Event, Exploration: Conducting Experiments to Find Probabilities Exercises p.53 Investigation Practice p.55

### Chapter 2

Lessons 11 – 20, Investigation 2

 11 Multiplying and Dividing Real Numbers Warm Up p.56 Lesson Practice p.59 Practice p.60 12 Using the Properties of Real Numbers to Simplifying Expressions Warm Up p.63 Practice p.66 Lesson Practice p.66 13 Calculating and Comparing Square Roots Warm Up p.69 Practice p.71 Lesson Practice p.71 14 Determining the Theoretical Probability of an Event, Exploration: Finding Theoretical Probability Warm Up p.74 Exploration p.74 Lesson Practice p.76 Practice p.77 15 Using the Distributive Property to Simplifying Expressions Warm Up p.80 Lesson Practice p.82 Practice p.83 16 Simplifying and Evaluating Variable Expressions Warm Up p.86 Lesson Practice p.89 Practice p.90 17 Translating Between Words and Algebraic Expressions Warm Up p.93 Lesson Practice p.94 Practice p.95 18 Combining Like Terms Warm Up p.98 Practice p.100 Lesson Practice p.100 19 Solving One-Step Equations by Adding or Subtracting, Exploration: Using Algebra Tiles to Model One-Step Equations Warm Up p.103 Exploration p.104 Lesson Practice p.106 Practice p.107 20 Graphing on a Coordinate Plane Warm Up p.110 Lesson Practice p.113 Practice p.114 INV 2 Investigation: Graphing a Relationship Exercises p.117 Investigation Practice p.119

### Chapter 3

Lessons 21 – 30, Investigation 3

 21 Solving One-Step Equations by Multiplying and Dividing, Exploration: Using Inverse Operations Warm Up p.120 Exploration p.121 Lesson Practice p.123 Practice p.124 22 Analyzing and Comparing Statistical Graphs, Exploration: Analyzing Bar Graphs Exploration p.127 Warm Up p.127 Lesson Practice p.130 Practice p.131 23 Solving Two-Step Equations Warm Up p.134 Lesson Practice p.137 Practice p.137 24 Solving Decimal Equations Warm Up p.140 Lesson Practice p.142 Practice p.142 25 Differentiating Between Relations and Functions Warm Up p.146 Practice p.149 Lesson Practice p.149 26 Solving Multi-Step Equations Warm Up p.153 Lesson Practice p.155 Practice p.155 27 Identifying Misleading Representations of Data Warm Up p.159 Lesson Practice p.160 Practice p.161 28 Solving Equations with Variables on Both Sides, Exploration: Modeling Variables on Both Sides of an Equation Exploration p.164 Warm Up p.164 Practice p.167 Lesson Practice p.167 29 Solving Literal Equations Warm Up p.171 Practice p.174 Lesson Practice p.174 LAB 2 Graphing Calculator: Creating a Table Lab Practice p.178 30 Graphing Functions Warm Up p.179 Lesson Practice p.182 Practice p.183 INV 3 Investigation: Analyzing the Effect of Bias in Sampling Surveys, and Bar Graphs, Exploration: Making and Analyzing Biased Graphs Exercises p.187 Investigation Practice p.189

### Chapter 4

Lessons 31 – 40, Investigation 4

 31 Using Rates, Ratios, and Proportions Warm Up p.190 Practice p.193 Lesson Practice p.193 32 Simplifying and Evaluating Expressions with Interger and Zero Exponents Warm Up p.197 Lesson Practice p.200 Practice p.201 33 Finding the Probability of Independent and Dependent Events Warm Up p.204 Lesson Practice p.208 Practice p.208 34 Recognizing and Extending Arithmetic Sequences Warm Up p.211 Lesson Practice p.214 Practice p.214 35 Locating and Using Intercepts Warm Up p.217 Lesson Practice p.220 Practice p.221 36 Writing and Solving Proportions, Exploration: Changing Dimensions Warm Up p.223 Exploration p.225 Lesson Practice p.226 Practice p.227 37 Using Scientific Notation, Exploration: Applying Scientific Notation Exploration p.230 Warm Up p.230 Lesson Practice p.233 Practice p.233 38 Simplifying Expressions Using the GCF Warm Up p.236 Practice p.240 Lesson Practice p.240 39 Using the Distributive Property to Simplifying Rational Expressions Warm Up p.243 Practice p.246 Lesson Practice p.246 40 Simplifying and Evaluating Expressions Using the Power Property for Exponents, Exploration: Raising a Power to a Power Exploration p.249 Warm Up p.249 Lesson Practice p.251 Practice p.252 INV 4 Investigation: Using Deductive and Inductive Reasoning Exercises p.254 Investigation Practice p.255

### Chapter 5

Lessons 41 – 50, Investigation 5

 41 Finding Rates of Change and Slope, Exploration: Analyzing a Graph Warm Up p.256 Lesson Practice p.259 Practice p.260 42 Solving Percent Problems Warm Up p.263 Lesson Practice p.266 Practice p.266 43 Simplifying Rational Expressions Warm Up p.270 Practice p.272 Lesson Practice p.272 44 Finding Slope Using the Slope Formula Warm Up p.275 Lesson Practice p.278 Practice p.279 45 Translating Between Words and Inequalities Warm Up p.282 Lesson Practice p.284 Practice p.285 46 Simplifying Expressions with Square Roots and Higher – Order Roots Warm Up p.288 Lesson Practice p.290 Practice p.291 47 Solving Problems Involving the Percent of Change Warm Up p.294 Practice p.296 Lesson Practice p.296 48 Analyzing Measures of Central Tendency Warm Up p.299 Lesson Practice p.301 Practice p.302 LAB 3 Graphing Calculator: Graphing Linear Functions Lab Practice p.306 49 Writing Equations in Slope – Intercept Form Warm Up p.307 LAB 3 Graphing Calculator: Graphing Linear Functions Lab Practice p.310 49 Writing Equations in Slope – Intercept Form Practice p.311 50 Graphing Inequalities Warm Up p.314 Lesson Practice p.316 Practice p.317 INV 5 Investigation: Using Logical Reasoning Exercises p.320 Investigation Practice p.321

### Chapter 6

Lessons 51 – 60, Investigation 6

 41 Finding Rates of Change and Slope, Exploration: Analyzing a Graph Exploration p.256 51 Simplifying Rational Expressions, Exploration: Finding Products of Square Roots Warm Up p.322 Lesson Practice p.325 Practice p.325 52 Determining the Equation of a Line Given Two Points Warm Up p.329 Lesson Practice p.331 Practice p.332 53 Adding and Subtracting Polynomials, Exploration: Using Algebra Tiles to Add or Subtract Polynomials Warm Up p.335 Exploration p.337 Lesson Practice p.339 Practice p.340 LAB 4 Graphing Calculator: Drawing Box-and-Whisker Plots Lab Practice p.344 54 Displaying Data in a Box-and-Whisker Plot Warm Up p.345 Lesson Practice p.348 Practice p.348 LAB 5 Graphing Calculator: Calculating the Intersection of Two Lines Lab Practice p.353 55 Solving Systems of Linear Equations by Graphing Warm Up p.354 Lesson Practice p.357 Practice p.357 56 Identifying, Writing, and Graphing Direct Variation, Exploration: Using Direct Variation Exploration p.361 Warm Up p.361 Practice p.365 Lesson Practice p.365 57 Finding the Least Common Multiple Warm Up p.368 Lesson Practice p.372 Practice p.372 58 Multiplying Polynomials, Exploration: Modeling Products of Binomials Warm Up p.375 Exploration p.376 Practice p.379 Lesson Practice p.379 59 Solving Systems of Linear Equations by Substitution Warm Up p.382 Lesson Practice p.386 Practice p.387 60 Finding Special Products of Binomials, Exploration: Multiplying Binomials Warm Up p.390 Exploration p.390 Practice p.393 Lesson Practice p.393 INV 6 Investigation: Transforming Linear Functions Investigation Practice p.397

### Chapter 7

Lessons 61-70, Investigation 7

 61 Simplifying Radical Expressions Warm Up p.398 Practice p.401 Lesson Practice p.401 Lab 6 Graphing Calculator: Drawing Histograms Lab Practice p.405 62 Displaying Data in Stem-and-Leaf Plots and Histograms Warm Up p.406 Lesson Practice p.409 Practice p.409 63 Solving Systems of Linear Equations by Elimination Warm Up p.412 Lesson Practice p.415 Practice p.415 64 Identifying, Writing, and Graphing Inverse Variation Warm Up p.418 Practice p.421 Lesson Practice p.421 65 Writing Equations of Parallel and Perpendicular Lines Warm Up p.424 Lesson Practice p.426 Practice p.427 66 Solving Inequalities by Adding and Subtracting Warm Up p.430 Lesson Practice p.433 67 Solving and Classifying Special Systems of Linear Equations Practice p.439 68 Mutually Exclusive and Inclusive Events Practice p.446 69 Adding and Subtracting Radical Expressions Practice p.452 70 Solving Inequalities by Multiplying or Dividing Practice p.459

### Chapter 8

Lessons 71-80, Investigation 8

 71 Making and Analyzing Scatter Plots Practice p.471 72 Factoring Trinomials x? + bx + c Practice p.478 73 Solving Compound Inequalities Practice p.484 74 Solving Absolute-Value Equations Practice p.490 75 Factoring ax? + bx + c Practice p.497 76 Multiplying Radical Expressions Practice p.502 77 Solving Two-Step and Multi-Step Inequalities Practice p.507 78 Graphing Rational Expressions Practice p.514 79 Factoring Trinomials by Using the GCF Practice p.520 80 Calculating Frequency Distributions Practice p.526

### Chapter 9

Lessons 81-90, Investigation 9

 81 Solving Inequalities with Variables on Both Sides Practice p.535 82 Solving Multi-Step Compound Inequalities Practice p.540 83 Factoring Special Products Practice p.547 84 Identifying Quadratic Functions Practice p.553 85 Solving Problems Using the Pythagorean Theorem Practice p.560 86 Calculating the Midpoint and Length of a Segment Practice p.567 87 Factoring Polynomials by Grouping Practice p.573 88 Multiplying and Dividing Rational Expressions Practice p.580 89 Identifying Characteristics of Quadratic Functions Practice p.590 90 Adding and Subtracting Rational Expressions Practice p.595 INV 9 Investigation: Choosing a Factoring Method Investigation 9 p.598

### Chapter 10

Lessons 91-100, Investigation 10

 91 Solving Absolute-Value Inequalities Practice p.606 92 Simplifying Complex Fractions Practice p.612 93 Dividing Polynomials Practice p.620 94 Solving Multi-Step Absolute-Value Equations Practice p.628 95 Combining Rational Expressions with Unlike Denominators Practice p.634 96 Graphing Quadratic Functions Practice p.642 97 Graphing Linear Inequalities Practice p.652 98 Solving Quadratic Equations by Factoring Practice p.659 99 Solving Rational Equations Practice p.666 100 Solving Quadratic Equations by Graphing Practice p.673 INV 10 Investigation: Transforming Quadratic Functions Investigation 10 p.676

### Chapter 11

Lessons 101-110, Investigation 11

 101 Solving Multi-Step Absolute-Value Inequalities Practice p.681 102 Solving Quadratic Equations Using Square Roots Practice p.687 103 Dividing Radical Expressions Practice p.694 104 Solving Quadratic Equations by Completing the Square Practice p.702 105 Recognizing and Extending Geometric Sequences Practice p.709 106 Solving Radical Equations Practice p.717 107 Graphing Absolute-Value Functions Practice p.724 108 Identifying and Graphing Exponential Functions Practice p.731 109 Graphing Systems of Linear Inequalities Practice p.739 110 Using the Quadratic Functions Practice p.746 INV 11 Investigation: Investigating Exponential Growth and Decay Investigation 11 p.749

### Chapter 12

Lessons 111-120, Investigation 12

 111 Solving Problems Involving Permutations Practice p.758 112 Graphing and Solving Systems of Linear and Quadratic Equations Practice p.766 113 Interpreting the Discriminant Practice p.771 114 Graphing Square-Root Functions Practice p.779 116 Solving Simple and Compound Interest Problems Practice p.783 115 Graphing Cubic Functions Practice p.785 117 Using Trigonometric Ratios Practice p.800 118 Solving Problems Involving Combinations Practice p.806 119 Graphing and Comparing Linear, Quadratic, and Exponential Functions Practice p.814 120 Using Geometric Formulas to Find the Probability of an Event Practice p.820 INV 12 Investigation: Matrix Operations Investigation 12 p.826