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Table of Contents
Chapter 0 Preparing for Algebra01 Plan for Problem Solving 02 Real Numbers 03 Operations with Integers 04 Adding and Subtracting Rational Numbers 05 Multiplying and Dividing Rational Numbers 06 The Percent Proportion 07 Perimeter 08 Area 09 Volume 010 Surface Area 011 Simple Probability and Odds 012 Mean, Median, Mode, Range and Quartiles 013 Representing DataUnit 1 Relationships between QuantitiesChapter 1 Expressions, Equations, and Functions 11 Variables and Expressions 12 Order of Operations 13 Properties of Numbers Extend 13 Algebra Lab: Accuracy 14 The Distributive Property 15 Equations 16 Relations 17 Functions Extend 17 Graphing Technology Lab: Representing Functions18 Interpreting Graphs of Functions Chapter 2 Linear Equations21 Writing Equations Explore 22 Algebra Lab: Solving Equations 22 Solving OneStep Equations Explore 23 Algebra Lab: Solving MultiStep Equations 23 Solving MultiStep Equations 24 Solving Equations with the Variable on Each Side 25 Solving Equations Involving Absolute Value 26 Ratios and Proportions Extend 26 Spreadsheet Lab: Descriptive Modeling 27 Percent of Change Extend 27 Algebra Lab: Percentiles 28 Literal Equations and Dimensional Analysis29 Weighted AveragesUnit 2 Linear RelationshipsChapter 3 Linear FunctionsExplore 31 Algebra Lab: Analyzing Linear Graphs 31 Graphing Linear Equations32 Solving Linear Equations by Graphing Extend 32 Graphing Technology Lab: Graphing Linear EquationsExplore 33 Algebra Lab: Rate of Change of a Linear Function 33 Rate of Change and Slope 34 Direct Variation 35 Arithmetic Sequences as Linear Functions Extend 35 Algebra Lab: Inductive and Deductive Reasoning 36 Proportional and Nonproportional Relationships Chapter 4 Equations of Linear Functions Explore 41 Graphing Technology Lab: Investigating SlopeIntercept Form 41 Graphing Equations in SlopeIntercept Form Extend 41 Graphing Technology Lab: The Family of Linear Graphs 42 Writing Equations in SlopeIntercept Form 43 Writing Equations in PointSlope Form 44 Parallel and Perpendicular Lines 45 Scatter Plots and Lines of Fit Extend 45 Algebra Lab: Correlation and Causation 46 Regression and MedianFit Lines 47 Inverse Linear Functions Extend 47 Algebra Lab: Drawing InversesChapter 5 Linear Inequalities51 Solving Inequalities by Addition and Subtraction Explore 52 Algebra Lab: Solving Inequalities 52 Solving Inequalities by Multiplication and Division 53 Solving MultiStep Inequalities Explore 54 Algebra Lab: Reading Compound Statements 54 Solving Compound Inequalities 55 Inequalities Involving Absolute Value 56 Graphing Inequalities in Two VariablesExtend 56 Graphing Technology Lab: Graphing Inequalities Chapter 6 Systems of Linear Equations and Inequalities61 Graphing Systems of Equations Extend 61 Graphing Technology Lab: Systems of Equations 62 Substitution 63 Elimination Using Addition and Subtraction 64 Elimination Using Multiplication 65 Applying Systems of Linear Equations Extend 65 Algebra Lab: Using Matrices to Solve Systems of Equations66 Systems of InequalitiesExtend 66 Graphing Technology Lab: Systems of InequalitiesUnit 3 Exponential and Quadratic RelationshipsChapter 7 Exponents and Exponential Functions 71 Multiplication Properties of Exponents 72 Division Properties of Exponents 73 Rational Exponents 74 Scientific NotationExplore 75 Graphing Technology Lab: Family of Exponential Functions75 Exponential FunctionsExtend 75 Graphing Technology Lab: Solving Exponential Equations and Inequalities76 Growth and DecayExtend 76 Algebra Lab: Analyzing Exponential Equations77 Geometric Sequences as Exponential FunctionsExtend 77 Algebra Lab: Average Rate of Change of Exponential Functions78 Recursive FormulasChapter 8 Quadratic Expressions and EquationsExplore 81 Algebra Lab: Adding and Subtracting Polynomials81 Adding and Subtracting Polynomials82 Multiplying a Polynomial by a Monomial Explore 83 Algebra Lab: Multiplying Polynomials 83 Multiplying Polynomials 84 Special Products Explore 85 Algebra Lab: Factoring Using the Distributive Property 85 Using the Distributive Property Explore 86 Algebra Lab: Factoring Trinomials 86 Solving x^{2} + bx + c = 0 87 Solving ax^{2} + bx + c = 0 88 Differences of Squares 89 Perfect Squares Chapter 9 Quadratic Functions and Equations91 Graphing Quadratic FunctionsExtend 91 Graphing Technology Lab: Rate of Change of a Quadratic Function 92 Solving Quadratic Equations by Graphing Extend 92 Graphing Technology Lab: Quadratic Inequalities Explore 93 Graphing Technology Lab: Family of Quadratic Functions 93 Transformations of Quadratic FunctionsExtend 93 Graphing Technology Lab: Systems of Linear and Quadratic Equations 94 Solving Quadratic Equations by Completing the Square Extend 94 Algebra Lab: Finding the Maximum or Minimum Value 95 Solving Quadratic Equations by Using the Quadratic Formula 96 Analyzing Functions with Successive Differences and Ratios Extend 96 Graphing Technology Lab: Curve Fitting 97 Special FunctionsExtend 97 Graphing Technology Lab: PiecewiseLinear Functions Unit 4 Advanced Functions and EquationsChapter 10 Radical Functions and GeometryExplore 101 Algebra Lab: Inverse Functions101 Square Root Functions Extend 101 Graphing Technology Lab: Graphing Square Root Functions 102 Simplifying Radical Expressions Extend 102 Algebra Lab: Rational and Irrational Numbers 103 Operations with Radical Expressions Extend 103 Algebra Lab: Simplifying nth Root Expressions104 Radical Equations 105 The Pythagorean Theorem Extend 105 Algebra Lab: Distance on the Coordinate PlaneExplore 106 Algebra Lab: Trigonometric Ratios 106 Trigonometric Ratios Chapter 11 Rational Functions and EquationsExplore 111 Graphing Technology Lab: Inverse Variation 111 Inverse Variation Explore 112 Graphing Technology Lab: Family of Rational Functions112 Rational Functions 113 Simplifying Rational ExpressionsExtend 113 Graphing Technology Lab: Simplifying Rational Expressions 114 Multiplying and Dividing Rational Expressions 115 Dividing Polynomials 116 Adding and Subtracting Rational Expressions 117 Mixed Expressions and Complex Fractions 118 Rational Equations and FunctionsExtend 118 Graphing Technology Lab: Solving Rational Equations Unit 5 Data AnalysisChapter 12 Statistics and Probability 121 Samples and Studies Extend 121 Algebra Lab: Evaluating Published Data122 Statistics and Parameters 123 Distributions of Data 124 Comparing Sets of Data 125 Simulations 126 Permutations and Combinations 127 Probability of Compound Events Extend 127 Algebra Lab: TwoWay Frequency Tables128 Probability Distributions Extend 128 Graphing Technology Lab: The Normal Curve