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Table of Contents
Chapter 0 Preparing for Algebra
01 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 Data
Unit 1 Relationships between Quantities
Chapter 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 Functions
18 Interpreting Graphs of Functions
Chapter 2 Linear Equations
21 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 Analysis
29 Weighted Averages
Unit 2 Linear Relationships
Chapter 3 Linear Functions
Explore 31 Algebra Lab: Analyzing Linear Graphs
31 Graphing Linear Equations
32 Solving Linear Equations by Graphing
Extend 32 Graphing Technology Lab: Graphing Linear Equations
Explore 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 Inverses
Chapter 5 Linear Inequalities
51 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 Variables
Extend 56 Graphing Technology Lab: Graphing Inequalities
Chapter 6 Systems of Linear Equations and Inequalities
61 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 Equations
66 Systems of Inequalities
Extend 66 Graphing Technology Lab: Systems of Inequalities
Unit 3 Exponential and Quadratic Relationships
Chapter 7 Exponents and Exponential Functions
71 Multiplication Properties of Exponents
72 Division Properties of Exponents
73 Rational Exponents
74 Scientific Notation
Explore 75 Graphing Technology Lab: Family of Exponential Functions
75 Exponential Functions
Extend 75 Graphing Technology Lab: Solving Exponential Equations and Inequalities
76 Growth and Decay
Extend 76 Algebra Lab: Analyzing Exponential Equations
77 Geometric Sequences as Exponential Functions
Extend 77 Algebra Lab: Average Rate of Change of Exponential Functions
78 Recursive Formulas
Chapter 8 Quadratic Expressions and Equations
Explore 81 Algebra Lab: Adding and Subtracting Polynomials
81 Adding and Subtracting Polynomials
82 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 Equations
91 Graphing Quadratic Functions
Extend 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 Functions
Extend 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 Functions
Extend 97 Graphing Technology Lab: PiecewiseLinear Functions
Unit 4 Advanced Functions and Equations
Chapter 10 Radical Functions and Geometry
Explore 101 Algebra Lab: Inverse Functions
101 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 Expressions
104 Radical Equations
105 The Pythagorean Theorem
Extend 105 Algebra Lab: Distance on the Coordinate Plane
Explore 106 Algebra Lab: Trigonometric Ratios
106 Trigonometric Ratios
Chapter 11 Rational Functions and Equations
Explore 111 Graphing Technology Lab: Inverse Variation
111 Inverse Variation
Explore 112 Graphing Technology Lab: Family of Rational Functions
112 Rational Functions
113 Simplifying Rational Expressions
Extend 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 Functions
Extend 118 Graphing Technology Lab: Solving Rational Equations
Unit 5 Data Analysis
Chapter 12 Statistics and Probability
121 Samples and Studies
Extend 121 Algebra Lab: Evaluating Published Data
122 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 Tables
128 Probability Distributions
Extend 128 Graphing Technology Lab: The Normal Curve