Algebra 1: Concepts and Skills
Larson, Boswell, Kanold, Stiff
McDougal Littell
NutshellMath covers the following topics in this book:
Variables in Algebra
Exponents and Powers
Order of Operations
Equations and Inequalities
Translating Words into Mathematical Symbols
Problem Solving with Models
Tables and Graphs
Introduction to Functions
The Real Number Line
Absolute Value
Operations with Real Numbers; Adding, Subtracting, Multiplying and Dividing
The Distributive Property
Combining Like Terms
Solving Equations Using Addition, Subtraction, Multiplication and Division
Solving Multi-Step Equations and Equations with Variables on Both Sides
Solving Decimal Equations
Formulas
Ratios, Rates and Percents
The Coordinate Plane
Graphing Linear Equations, Horizontal and Vertical Lines
The Slope of a Line
Graphing Lines Using Intercepts or Slope Intercept Form
Direct Variation
Functions and Relations
Slope-Intercept Form and Point-Slope Form
Writing Linear Equations Given Two Points
Standard Form of Linear Equations
Modeling with Linear Equations
Perpendicular Lines
Solving Inequalities with Addition, Subtraction, Multiplication or Division
Solving Multi-Step Linear Inequalities
Solving Compound Inequalities
Solving Absolute-Value Equations and Inequalities
Graphing Linear Inequalities in Two Variables
Solving Linear Systems by Graphing, Substitution or Linear Combination
Applications of Linear Systems; Problem Solving
Special Types of Linear Systems
Solving Systems of Linear Inequalities
Multiplication and Division Properties of Exponents
Zero and Negative Exponents
Scientific Notation
Exponential Growth and Decay Functions
Solving Quadratic Equations by Finding Square Roots, Graphing or the Quadratic Formula
Simplifying Radicals
Graphing Quadratic Functions and Inequalities
Applications of the Discriminant
Comparing Linear, Exponential and Quadratic Models
Operations with Polynomials; Adding, Subtracting, Multiplying and Dividing
Special Products of Polynomials
Factoring Trinomials With or Without Leading Coefficients
Factoring Special Products
Factoring Cubic Polynomials
Proportions
Direct and Inverse Variation
Simplifying Rational Expressions
Operations with Rational Expressions; Multiplying, Dividing, Adding and Subtracting
Rational Equations
Functions Involving Square Roots
Operations with Radical Expressions
Solving Radical Equations
Rational Exponents
Completing the Square
The Pythagorean Theorem and Its Converse
The Distance and Midpoint Formulas
Trigonometric Ratios
Logical Reasoning and Proofs
Larson, Boswell, Kanold, Stiff
McDougal Littell
NutshellMath covers the following topics in this book:
Variables in Algebra
Exponents and Powers
Order of Operations
Equations and Inequalities
Translating Words into Mathematical Symbols
Problem Solving with Models
Tables and Graphs
Introduction to Functions
The Real Number Line
Absolute Value
Operations with Real Numbers; Adding, Subtracting, Multiplying and Dividing
The Distributive Property
Combining Like Terms
Solving Equations Using Addition, Subtraction, Multiplication and Division
Solving Multi-Step Equations and Equations with Variables on Both Sides
Solving Decimal Equations
Formulas
Ratios, Rates and Percents
The Coordinate Plane
Graphing Linear Equations, Horizontal and Vertical Lines
The Slope of a Line
Graphing Lines Using Intercepts or Slope Intercept Form
Direct Variation
Functions and Relations
Slope-Intercept Form and Point-Slope Form
Writing Linear Equations Given Two Points
Standard Form of Linear Equations
Modeling with Linear Equations
Perpendicular Lines
Solving Inequalities with Addition, Subtraction, Multiplication or Division
Solving Multi-Step Linear Inequalities
Solving Compound Inequalities
Solving Absolute-Value Equations and Inequalities
Graphing Linear Inequalities in Two Variables
Solving Linear Systems by Graphing, Substitution or Linear Combination
Applications of Linear Systems; Problem Solving
Special Types of Linear Systems
Solving Systems of Linear Inequalities
Multiplication and Division Properties of Exponents
Zero and Negative Exponents
Scientific Notation
Exponential Growth and Decay Functions
Solving Quadratic Equations by Finding Square Roots, Graphing or the Quadratic Formula
Simplifying Radicals
Graphing Quadratic Functions and Inequalities
Applications of the Discriminant
Comparing Linear, Exponential and Quadratic Models
Operations with Polynomials; Adding, Subtracting, Multiplying and Dividing
Special Products of Polynomials
Factoring Trinomials With or Without Leading Coefficients
Factoring Special Products
Factoring Cubic Polynomials
Proportions
Direct and Inverse Variation
Simplifying Rational Expressions
Operations with Rational Expressions; Multiplying, Dividing, Adding and Subtracting
Rational Equations
Functions Involving Square Roots
Operations with Radical Expressions
Solving Radical Equations
Rational Exponents
Completing the Square
The Pythagorean Theorem and Its Converse
The Distance and Midpoint Formulas
Trigonometric Ratios
Logical Reasoning and Proofs