Saxon Math Algebra 1

3rd edition

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Saxon Math Algebra 1 is a comprehensive algebra math textbook. It is typically used after the completion of either Saxon Math 8/7 or Saxon Math Algebra 1/2. Saxon Math uses a spiral approach, employing incremental development of new math concepts and continuous review of previous concepts. This book consists of 120 lessons covering topics such as including signed numbers, exponents, and roots; absolute value; equations and inequalities; scientific notation; unit conversions; polynomials; graphs; factoring; quadratic equations; direct and inverse variations; exponential growth; statistics; probability, and more (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 algebra 2 courses.

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Table of Contents

Lesson 1 - Addition and Subtraction of Fractions - Lines and Segments
Lesson 2 - Angles - Polygons - Triangles - Quadrilaterals
Lesson 3 - Perimeter - Circumference
Lesson 4 - Review of Arithmetic
Lesson 5 - Sets - Absolute Value - Addition of Signed Numbers
Lesson 6 - Addition - Adding More Than Two Numbers - Inserting Parentheses - Subtraction
Lesson 7 - The Opposite of a Number - Simplifying More Difficult Notations
Lesson 8 - Area
Lesson 9 - Multiplication of Signed Numbers - Inverse Operations - Division of Signed Numbers
Lesson 10 - Division by Zero - Exchange of Factors in Multiplication - Conversions of Area
Lesson 11 - Reciprocal and Multiplicative Inverse - Order of Operations - Identifying Multiplication and Addition
Lesson 12 - Symbols of Inclusion - Order of Operations
Lesson 13 - Multiple Symbols of Inclusion - More on Order of Operations - Products of Signed Numbers
Lesson 14 - Evaluation of Algebraic Expressions
Lesson 15 - Surface Area
Lesson 16 - More Complicated Evaluations
Lesson 17 - Factors and Coefficients - Terms - The Distributive Property
Lesson 18 - Like Terms - Addition of Like Terms
Lesson 19 - Exponents - Powers of Negative Numbers - Roots - Evaluation of Powers
Lesson 20 - Volume
Lesson 21 - Product Rule for Exponents - Addition of Like Terms with Exponents
Lesson 22 - Review of Numerical and Algebraic Expressions - Statements and Sentences - Conditional Equations
Lesson 23 - Equivalent Equations - Additive Property of Equality
Lesson 24 - Multiplicative Property of Equality
Lesson 25 - Solution of Equations
Lesson 26 - More Complicated Equations
Lesson 27 - More on the Distributive Property - Simplifying Decimal Equations
Lesson 28 - Fractional Parts of Numbers - Functional Notation
Lesson 29 - Negative Exponents - Zero Exponents
Lesson 30 - Algebraic Phrases - Decimal Parts of a Number
Lesson 31 - Equations with Parentheses
Lesson 32 - Word Problems
Lesson 33 - Products of Prime Factors - Statements About Unequal Quantities
Lesson 34 - Greatest Common Factor
Lesson 35 - Factoring the GCF - Canceling
Lesson 36 - Distributive Property of Rational Expressions - Minus Signs and Negative Exponents
Lesson 37 - Inequalities - Greater Than and Less Than - Graphical Solutions of Inequalities
Lesson 38 - Ratio Problems
Lesson 39 - Trichotomy Axiom - Negated Inequalities - Advanced Ratio Problems
Lesson 40 - Quotient Rule for Exponents - Distributive Property of Rational Expressions
Lesson 41 - Addition of Like Terms in Rational Expressions - Two-Step Problems
Lesson 42 - Solving Multivariable Equations
Lesson 43 - Least Common Multiple - Least Common Multiples of Algebraic Expressions
Lesson 44 - Addition of Rational Expressions
Lesson 45 - Range, Median, Mode, and Mean
Lesson 46 - Conjunctions
Lesson 47 - Percents Less Than 100 - Percents Greater Than 100
Lesson 48 - Polynomials - Degree - Addition of Polynomials
Lesson 49 - Multiplication of Polynomials
Lesson 50 - Polynomial Equations - Ordered Pairs - Cartesian Coordinate System
Lesson 51 - Graphs of Linear Equations - Graphs of Vertical and Horizontal Lines
Lesson 52 - Addition of Rational Expressions with Unequal Denominators - Overall Average
Lesson 53 - Power Rule for Exponents - Conversions of Volume
Lesson 54 - Substitution Axiom - Simultaneous Equations - Solving Simultaneous Equations by Substitution
Lesson 55 - Complex Fractions - Division Rule for Complex Fractions
Lesson 56 - Finite and Infinite Sets - Membership in a Set - Rearranging Before Graphing
Lesson 57 - Addition of Algebraic Expressions with Negative Exponents
Lesson 58 - Percent Word Problems
Lesson 59 - Rearranging Before Substitution
Lesson 60 - Geometric Solids - Prisms and Cylinders
Lesson 61 - Subsets - Subsets of the Set of Real Numbers
Lesson 62 - Square Roots - Higher Order Roots - Evaluating Using Plus or Minus
Lesson 63 - Product of Square Roots Rule - Repeating Decimals
Lesson 64 - Domain - Additive Property of Inequality
Lesson 65 - Addition of Radical Expressions - Weighted Average
Lesson 66 - Simplification of Radical Expressions - Square Roots of Large Numbers
Lesson 67 - Review of Equivalent Equations - Elimination
Lesson 68 - More About Complex Fractions
Lesson 69 - Factoring Trinomials
Lesson 70 - Probability - Designated Order
Lesson 71 - Trinomials with Common Factors - Subscripted Variables
Lesson 72 - Factors That Are Sums - Pyramids and Cones
Lesson 73 - Factoring the Difference of Two Squares - Probability Without Replacement
Lesson 74 - Scientific Notation
Lesson 75 - Writing the Equation of a Line - Slope-Intercept Method of Graphing
Lesson 76 - Consecutive Integers
Lesson 77 - Consecutive Odd and Even Integers - Fraction and Decimal Word Problems
Lesson 78 - Rational Equations
Lesson 79 - Systems of Equations with Subscripted Variables
Lesson 80 - Operations with Scientific Notation
Lesson 81 - Graphical Solutions - Inconsistent Equations - Dependent Equations
Lesson 82 - Evaluating Functions - Domain and Range
Lesson 83 - Coin Problems
Lesson 84 - Multiplication of Radicals - Functions
Lesson 85 - Stem-and-Leaf Plots - Histograms
Lesson 86 - Division of Polynomials
Lesson 87 - More on Systems of Equations - Tests for Functions
Lesson 88 - Quadratic Equations - Solution of Quadratic Equations by Factoring
Lesson 89 - Value Problems
Lesson 90 - Word Problems with Two Statements of Equality
Lesson 91 - Multiplicative Property of Inequality - Spheres
Lesson 92 - Uniform Motion Problems About Equal Distances
Lesson 93 - Products of Rational Expressions - Quotients of Rational Expressions
Lesson 94 - Uniform Motion Problems
Lesson 95 - Graphs of Non-Linear Functions - Recognizing Shapes of Various Non-Linear Functions
Lesson 96 - Difference of Two Squares Theorem
Lesson 97 - Angles and Triangles - Pythagorean Theorem - Pythagorean Triples
Lesson 98 - Distance Between Two Points - Slope Formula
Lesson 99 - Uniform Motion - Unequal Distances
Lesson 100 - Place Value - Rounding Numbers
Lesson 101 - Factorable Denominators
Lesson 102 - Absolute Value Inequalities
Lesson 103 - More on Rational Equations
Lesson 104 - Abstract Rational Equations
Lesson 105 - Factoring by Grouping
Lesson 106 - Linear Equations - Equation of a Line Through Two Points
Lesson 107 - Line Parallel to a Given Line - Equation of a Line with a Given Slope
Lesson 108 - Square Roots Revisited - Radical Equations
Lesson 109 - Advanced Trinomial Factoring
Lesson 110 - Vertical Shifts - Horizontal Shifts - Reflection About the x Axis - Combinations of Shifts and Reflections
Lesson 111 - More on Conjunctions - Disjunctions
Lesson 112 - More on Multiplication of Radical Expressions
Lesson 113 - Direct and Inverse Variation
Lesson 114 - Exponential Key - Exponential Growth - Using the Graphing Calculato
Lesson 115 - Linear Inequalities
Lesson 116 - Quotient Rule for Square Roots
Lesson 117 - Direct and Inverse Variation Squared
Lesson 118 - Completing the Square
Lesson 119 - The Quadratic Formula - Use of the Quadratic Formula
Lesson 120 - Box-and-Whisker Plots

Corrections/Errata

Corrections and errata for this book can be found here.

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