Saxon Math Algebra 2

3rd edition

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Saxon Math Algebra 2 is a comprehensive algebra 2 math textbook typically used after completing Saxon Math Algebra 1. It includes both traditional second-year algebra topics and a complete semester of informal geometry, with applications in real-world, abstract, and interdisciplinary domains. It consists of 129 lessons that cover a broad range of topics, including geometric functions, angles, perimeters, proportional segments, negative exponents, quadratic equations, metric conversions, logarithms, and advanced factoring. (see table of contents below).

Each lesson includes practice exercises and problem sets, along with cumulative reviews to ensure students have a firm understanding of previously covered material. The book provides ample opportunities for students to develop their problem-solving skills and critical thinking abilities, making it a valuable resource for both teachers and students. Overall, the book aims to prepare students for high school pre-calculus and trigonometry courses.

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Table of Contents

Lesson A - Geometry Review - Angles - Review of Absolute Value - Properties and Definitions
Lesson B - Review
Lesson 1 - Polygons - Triangles - Transversals - Proportional Segments
Lesson 2 - Negative Exponents - Product and Power Theorems for Exponents - Circle Relationships
Lesson 3 - Evaluation of Expressions - Adding Like Terms
Lesson 4 - Distributive Property - Solutions of Equations - Change Sides and Signs
Lesson 5 - Word Problems - Fractional Parts of a Number
Lesson 6 - Equations with Decimal Numbers - Consecutive Integer Word Problems
Lesson 7 - Percent - Equations from Geometry
Lesson 8 - Polynomials - Graphing Linear Equations - Intercept-Slope Method
Lesson 9 - Percent Word Problems
Lesson 10 - Pythagorean Theorem
Lesson 11 - Addition of Fractions - Inscribed Angles
Lesson 12 - Equation of a Line
Lesson 13 - Substitution - Area of an Isosceles Triangle
Lesson 14 - Finding the Equation of a Line
Lesson 15 - Elimination
Lesson 16 - Multiplication of Polynomials - Division of Polynomials
Lesson 17 - Subscripted Variables - Angle Relationships
Lesson 18 - Ratio Word Problems - Similar Triangles
Lesson 19 - Value Word Problems - AA Means AAA
Lesson 20 - Simplification of Radicals - Line Parallel to a Given Line
Lesson 21 - Scientific Notation - Two Statements of Equality
Lesson 22 - Uniform Motion Problems - Equal Distances - Similar Triangles and Proportions
Lesson 23 - Graphical Solutions
Lesson 24 - Fractional Equations - Overlapping Triangles
Lesson 25 - Monomial Factoring - Cancellation - Parallel Lines
Lesson 26 - Trinomial Factoring - Overlapping Right Triangles
Lesson 27 - Rational Expressions
Lesson 28 - Complex Fractions - Rationalizing the Denominator
Lesson 29 - Uniform Motion Problems
Lesson 30 - Deductive Reasoning - Euclid - Vertical Angles Are Equal - Corresponding Angles - 180° in a Triangle
Lesson 31 - Negative Reciprocals - Perpendicular Lines - Remote Interior Angles
Lesson 32 - Quotient Theorem for Square Roots - Congruency - Congruent Triangles
Lesson 33 - Major Rules of Algebra - Complex Fractions
Lesson 34 - Uniform Motion Problems, Part 3
Lesson 35 - Angles in Polygons - Inscribed Quadrilaterals - Fractional Exponents
Lesson 36 - Contrived Problems - Multiplication and Division of Rational Expressions
Lesson 37 - Chemical Compounds - Parallelograms
Lesson 38 - Powers of Sums - Solving by Factoring - Only Zero Equals Zero
Lesson 39 - Difference of Two Squares - Parallelogram Proof - Rhombus
Lesson 40 - Abstract Fractional Equations
Lesson 41 - Units - Unit Multipliers
Lesson 42 - Estimating with Scientific Notation
Lesson 43 - Sine, Cosine, and Tangent - Inverse Functions
Lesson 44 - Solving Right Triangles
Lesson 45 - Difference of Two Squares Theorem
Lesson 46 - More on Radical Expressions - Radicals to Fractional Exponents
Lesson 47 - Rate Unit Conversions - More on Fractional Exponents
Lesson 48 - Radical Equations
Lesson 49 - Linear Intercepts - Transversals
Lesson 50 - Quadratic Equations - Completing the Square
Lesson 51 - Imaginary Numbers - Product of Square Roots Theorem - Euler's Notation - Complex Numbers
Lesson 52 - Chemical Mixture Problems, Type A
Lesson 53 - Metric Unit Conversions - English Units to Metric Units - Weight Combination by Percent
Lesson 54 - Polar Coordinates - Similar Triangles
Lesson 55 - Advanced Abstract Equations - Word Problems and Quadratic Equations
Lesson 56 - Angles in Circles - Proofs
Lesson 57 - Ideal Gas Laws
Lesson 58 - Lead Coefficients - More on Completing the Square
Lesson 59 - Experimental Data - Simultaneous Equations with Fractions and Decimals - Rectangular to
Lesson 60 - Direct and Inverse Variation
Lesson 61 - Chemical Mixture Problems, Type B
Lesson 62 - Complex Roots of Quadratic Equations
Lesson 63 - Addition of Vectors
Lesson 64 - Complex Fractions - Complex Numbers
Lesson 65 - Advanced Substitution
Lesson 66 - Signs of Fractions - 30-60-90 Triangles
Lesson 67 - Radical Denominators
Lesson 68 - Scientific Calculator - Scientific Notation - Powers and Roots
Lesson 69 - Gas Law Problems
Lesson 70 - Advanced Abstract Equations
Lesson 71 - Quadratic Formula
Lesson 72 - Lines from Experimental Data - Negative Angles
Lesson 73 - More on Radical Denominators
Lesson 74 - Uniform Motion with Both Distances Given
Lesson 75 - Factorable Denominators and Sign Changes
Lesson 76 - Using Both Substitution and Elimination - Negative Vectors
Lesson 77 - Advanced Radical Equations - Multiple Radicals
Lesson 78 - Force Vectors at a Point
Lesson 79 - Metric Volume - 45-45-90 Triangles
Lesson 80 - Direct Variation as a Ratio - Inverse Variation as a Ratio
Lesson 81 - Complex Numbers and Real Numbers - Products of Complex Conjugates - Division of Complex
Lesson 82 - Algebraic Simplifications
Lesson 83 - Product Rule with Variables - Power Rule with Variables
Lesson 84 - Degree of Equations - Solutions to Systems of Equations
Lesson 85 - Systems of Nonlinear Equations
Lesson 86 - Greater Than - Trichotomy and Transitive Axioms - Irrational Roots
Lesson 87 - Slope Formula
Lesson 88 - The Distance Formula - The Relationship PV nRT
Lesson 89 - Conjunctions - Disjunctions - Products of Chords and Secants
Lesson 90 - Systems of Three Equations
Lesson 91 - Linear Inequalities - Greater or Less Than or Equal To - Systems of Linear Inequalities
Lesson 92 - Boat in the River Problems
Lesson 93 - The Discriminant
Lesson 94 - Dependent and Independent Variables - Functions - Functional Notation
Lesson 95 - More Nonlinear Systems
Lesson 96 - Joint and Combined Variation - More on Irrational Roots
Lesson 97 - Advanced Substitution
Lesson 98 - Relationships of Numbers
Lesson 99 - Absolute-Value Inequalities, Conjunctions, and Disjunctions - Negative Numbers and Absolute Value
Lesson 100 - Graphs of Parabolas
Lesson 101 - Percent Markups
Lesson 102 - Sums of Functions - Products of Functions
Lesson 103 - Advanced Polynomial Division
Lesson 104 - Review of Complex Numbers - Subsets of the Real Numbers - Representing Repeating Decimals as Fractions
Lesson 105 - Advanced Factoring
Lesson 106 - More on Systems of Three Equations
Lesson 107 - Numbers, Numerals, and Value - Number Word Problems
Lesson 108 - Sum and Difference of Two Cubes
Lesson 109 - More on Fractional Exponents
Lesson 110 - Quadratic Inequalities (Greater Than)
Lesson 111 - Three Statements of Equality
Lesson 112 - Quadratic Inequalities (Less Than)
Lesson 113 - Logarithms - Antilogarithms
Lesson 114 - Nonlinear Inequalities
Lesson 115 - Exponential Equations - Exponential Functions - Compound Interest
Lesson 116 - Fundamental Counting Principle and Permutations - Probability - Independent Events
Lesson 117 - Letter Symbols for Sets - Set-Builder Notation
Lesson 118 - Logarithmic Equations
Lesson 119 - Absolute-Value Inequalities
Lesson 120 - Age Word Problems
Lesson 121 - Rational Inequalities
Lesson 122 - Laws of Logarithms - Intersection of Sets - Union of Sets - Venn Diagrams
Lesson 123 - Locus - Basic Construction
Lesson 124 - Conditions of Congruence - Proofs of Congruence - Isosceles Triangles
Lesson 125 - Distance Defined - Equidistant from Two Points - Equidistant from Sides of an Angle - Circle Proofs
Lesson 126 - Quadrilaterals - Chords and Arcs
Lesson 127 - Lines and Planes in Space
Lesson 128 - Circumscribed and Inscribed - Triangles - Circles - Proof of Pythagorean Theorem - Inscribed Angles
Lesson 129 - Stem-and-Leaf Plots - Measures of Central Tendency - The Normal Curve - Standard Deviation

Corrections/Errata

Corrections and errata for this book can be found here.

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