Algebra 1 (Glencoe Mathematics)
Holliday, Moore-Harris, Marks, Day, Cuevas, Carter, Casey, Hayek
Glencoe / McGraw-Hill

NutshellMath covers the following topics in this book:

Variables and Expressions
Order of Operations
Open Sentences
Properties in Algebra; Identity and Equality Properties, The Distributive Property, Commutative and Associative Properties
Logical Reasoning
Graphs and Functions
Statistics; Analyzing Data by Using Tables and Graphs

Rational Numbers on the Number Line
Operations with Rational Numbers; Adding, Subtracting, Multiplying, and Dividing Rational Numbers
Statistics: Displaying and Analyzing Data
Probability: Simple Probability and Odds
Square Roots and Real Numbers

Writing Equations
Solving Equations; Solving Using Addition, Subtraction, Multiplication, and Division, Solving Multi-Step Equations, Solving Equations with Variables on Both Sides
Ratios, Proportions, and Percent of Change
Solving Equations and Formulas
Weighted Averages

The Coordinate Plane; Transformations on the Coordinate Plane
Relations; Equations as Relations
Graphing Linear Equations
Functions
Arithmetic Sequences
Writing Equations from Patterns

Slope and Direct Variation
Forms of Equations; Writing Equations in Slope-Intercept Form, Writing Equations in Point-Slope Form
Geometry: Parallel and Perpendicular Lines
Statistics: Scatter Plots and Lines of Fit

Solving Inequalities; Solving Inequalities by Addition, Subtraction, Multiplication, and Division, Solving Multi-Step Inequalities, Solving Compound Inequalities
Solving Open-Sentences Involving Absolute Value
Graphing Inequalities in Two Variables

Systems of Equations; Graphing Systems of Equations
Solving Systems of Equations and Inequalities; Graphing, Substitutions, Eliminations Using Addition and Subtractions, Elimination Using Multiplication
Graphing Systems of Inequalities

Operations with Monomials and Polynomials; Adding, Subtracting, Multiplying and Dividing Monomials and Polynomials
Scientific Notation
Special Products

Factors and Greatest Common Factors
Factoring Using the Distributive Property
Factoring Trinomials with or without a Leading Coefficient
Factoring Differences of Squares
Perfect Squares and Factoring

Graphing Quadratic Functions
Solving Quadratic Equations; Solving Quadratic Equations by Graphing, Solving Quadratic Equations by Completing the Square, Solving Quadratic Equations by Using the Quadratic Formula
Exponential Functions
Growth and Decay
Geometric Sequences

Simplifying Radical Expressions
Operations with Radical Expressions
Radical Equations
The Pythagorean Theorem
The Distance Formula
Similar Triangles
Trigonometric Ratios

Inverse Variation
Operations with Rational Expressions; Multiplying and Dividing Rational Expressions and Polynomials
Rational Expressions with Like and Unlike Denominators
Mixed Expressions and Complex Fractions
Solving Rational Equations

Sampling and Bias
Introduction to Matrices
Organizing Data; Histograms and Box-and-Whisker Plots
Measures of Variation

Counting Outcomes
Permutations and Combinations
Probability of Compound Events
Probability Distributions and Probability Simulations