The Dow's Schoolroom

Review of the Saxon Math Program

Saxon Algebra 1
Third Edition
Table of Contents

Preface

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

Rules for Addition

Adding More Than Two Numbers

Inserting Parentheses Mentally

Definition of Subtraction

Lesson 7

The Opposite of a Number

Simplifying More Difficult Notations

Lesson 8

Area

Lesson 9

Rules for Multiplication of Signed Numbers

Inverse Operations

Rules for Division of Signed Numbers

Summary

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 vLesson 33 Products of Prime Factors

Statements About Unequal Quantities

Lesson 34 Greatest Common Factor

Lesson 35 Factoring the Greatest Common Factor

Canceling

Lesson 36 Distributive Property of Rational Expressions that Contain Positive Exponents

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 that Contain Negative Exponents

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 with Equal Denominators

Addition of Rational Expressions with Unequal Denominators

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 More on 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 Consecutive 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 of the Form D1 + D2 = N

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 xAxis

Combinations of Shifts and Reflections

Lesson 111 More on Conjunctions

Disjunctions

Lesson 112 More on Multiplication of Radical Expressions

Lesson 113 Direct Variation

Inverse Variation

Lesson 114 Exponential Key

Exponential Growth

Using the Graphing Calculator to Graph Exponential Functions

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

Appendix A Properties of the Set of Real Numbers

Appendix B Glossary

Answers

Index