Algebra 1
Smith, Charles, Dossey, Bittinger
Prentice Hall

NutshellMath covers the following topics in this book:

Symbols and Expressions
Commutative, Identity, Associative and Distributive Properties
Exponential Notation
Writing Expressions and Solving Equations
Reasoning Strategies, Diagrams and Using Formulas

Integers and the Number Line
Operations with Rational Numbers; Addition, Subtraction, Multiplication, Division
Using the Distributive Property
Inverse of a Sum and Simplifying
Writing Equations
Number Properties and Proofs

The Addition and Multiplication Properties of Equality
Expression and Equations
Solving Equations; Clearing Fractions and Decimals and Working with Absolute Value
Formulas
Proportions and Percent

Inequalities and Their Graphs
The Addition and Multiplication Properties of Inequalities
Using Inequalities and Logical Reasoning

Exponents and Scientific Notation
Operations with Monomials and Polynomials; Addition, Subtraction, Multiplication and Division
Special Products of Binomials

Factoring Polynomials
Differences of Two Squares and Trinomial Squares
Factoring Trinomials with or without Leading Coefficients
Factoring Strategies; Grouping
Solving Equations by Factoring and Using Equations that Factor

Graphing Ordered Pairs and Equations
Equations and Slope
Finding the Equation of a Line and Fitting Equations to Data
Parallel and Perpendicular Lines
Proofs and Simplification

Solving System of Equations by Graphing, the Substitution Method or the Addition Method
Using Systems of Equations; Motion Problems, Digit and Coin Problems

Sets, Intersections and Unions
Compound Sentences
Equation and Inequalities and Absolute Value
Inequalities in Two Variables
Graphing Systems of Linear Inequalities

Operations with Rational Expressions Simplifying, Multiplying, and Dividing
Operations with Rational Expressions; Addition or Subtraction with Like or Unlike Denominators
Solving Rational Equations
Using Rational Equations; Mixture Problems, Dividing Polynomials
Complex Rational Expressions
Proofs

Real Numbers
Operations with Radical Expressions; Simplifying, Multiplying, Dividing, Adding and Subtracting
The Pythagorean Theorem
Equations with Radicals

Relations and Functions and Their Graphs
Linear Functions
Quadratic Functions
Direct and Inverse Variation
Joint and Combined Variation

Introduction to Quadratic Equations
Solving Quadratic Equations; Completing the Square, The Quadratic Formula
Solving Rational Equations
Solving Radical Equations
Using Quadratic Equations