Algebra 1: An Integrated Approach
Larson, Boswell, Kanold, Stiff
McDougal Littell
NutshellMath covers the following topics in this book:
Numbers and Number Operations
Variables in Algebra
Exponents and Powers
Order of Operations
Equations and Inequalities
Verbal Models and Algebraic Models
A Problem Solving Plan
Tables and Graphs
The Real Number Line
Operations with Real Numbers; Addition, Subtraction, Multiplication and Division of Real Numbers
The Distributive Property
Matrices
Exploring Data; Rates and Ratios
Solving Equations; Solving Equations Using One Transformation, Solving Equations Using Two or More Transformations, Solving Equations with Variables on Both Sides, Solving Equations That Involve Decimals
Linear Equations and Problem Solving
Literal Equations and Their Formulas
Scatter Plots
Graphing Linear Equations; Graphing Linear Equations in One or Two Variables, Quick Graphs Using Intercepts, Quick Graphs Using Slope-Intercept Form
The Slope of a Line
Solutions and x-Intercepts
Graphs of Absolute Value Equations
Solving Absolute Value Equations
Equations of Lines Using Slope-Intercept Form, Given the Slope and a Point, or Given Two Points
Fitting a Line to Data
Standard Form of a Linear Equation
Point-Slope Form of the Equation of a Line
Problem Solving Using Linear Models
Solving Inequalities in One Variable
Problem Solving Using Inequalities
Compound Inequalities
Absolute Value and Inequalities
Graphing Linear Inequalities in Two Variables
Time Lines, Picture Graphs and Circle Graphs
Solving Linear Systems; Solving Linear Systems by Graphing, Substitution, or by Linear Combinations
Problem Solving Using Linear Systems
Special Types of Linear Systems
Solving Systems of Linear Inequalities
Linear Programming
Multiplication and Division Properties of Exponents
Negative and Zero Exponents
Scientific Notation
Problem Solving and Scientific Notation
Compound Interest, Exponential Growth, and Exponential Decay
Square Roots and the Pythagorean Theorem
Solving Quadratic Equations by Finding Square Roots
Graphs of Quadratic Equations
The Quadratic Formula
Problem Solving Using the Discriminant
Graphing Quadratic Inequalities
Operations with Polynomials; Adding, Subtracting, and Multiplying Polynomials
Special Cases of Multiplying Polynomials
Factoring; Special Products
Factoring Quadratic Trinomials
Solving Quadratic Equations by Factoring or Completing the Square
Problem Solving Using Ratios, Proportions, and Percents
Direct and Inverse Variation
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Dividing Polynomials
Solving Rational Equations
Functions and Relations
Functions; Linear Functions, Exponential Functions, Quadratic Functions, Rational Functions
Exploring Data; Stem-and-Leaf Plots, Box-and-Whisker Plots, Measures of Central Tendency, Mean, Median, and Mode
The Distance Formula
Simplifying Radicals
Operations with Radicals
Solving Radical Equations
The Tangent of an Angle
Formal Use of Properties of Algebra
Larson, Boswell, Kanold, Stiff
McDougal Littell
NutshellMath covers the following topics in this book:
Numbers and Number Operations
Variables in Algebra
Exponents and Powers
Order of Operations
Equations and Inequalities
Verbal Models and Algebraic Models
A Problem Solving Plan
Tables and Graphs
The Real Number Line
Operations with Real Numbers; Addition, Subtraction, Multiplication and Division of Real Numbers
The Distributive Property
Matrices
Exploring Data; Rates and Ratios
Solving Equations; Solving Equations Using One Transformation, Solving Equations Using Two or More Transformations, Solving Equations with Variables on Both Sides, Solving Equations That Involve Decimals
Linear Equations and Problem Solving
Literal Equations and Their Formulas
Scatter Plots
Graphing Linear Equations; Graphing Linear Equations in One or Two Variables, Quick Graphs Using Intercepts, Quick Graphs Using Slope-Intercept Form
The Slope of a Line
Solutions and x-Intercepts
Graphs of Absolute Value Equations
Solving Absolute Value Equations
Equations of Lines Using Slope-Intercept Form, Given the Slope and a Point, or Given Two Points
Fitting a Line to Data
Standard Form of a Linear Equation
Point-Slope Form of the Equation of a Line
Problem Solving Using Linear Models
Solving Inequalities in One Variable
Problem Solving Using Inequalities
Compound Inequalities
Absolute Value and Inequalities
Graphing Linear Inequalities in Two Variables
Time Lines, Picture Graphs and Circle Graphs
Solving Linear Systems; Solving Linear Systems by Graphing, Substitution, or by Linear Combinations
Problem Solving Using Linear Systems
Special Types of Linear Systems
Solving Systems of Linear Inequalities
Linear Programming
Multiplication and Division Properties of Exponents
Negative and Zero Exponents
Scientific Notation
Problem Solving and Scientific Notation
Compound Interest, Exponential Growth, and Exponential Decay
Square Roots and the Pythagorean Theorem
Solving Quadratic Equations by Finding Square Roots
Graphs of Quadratic Equations
The Quadratic Formula
Problem Solving Using the Discriminant
Graphing Quadratic Inequalities
Operations with Polynomials; Adding, Subtracting, and Multiplying Polynomials
Special Cases of Multiplying Polynomials
Factoring; Special Products
Factoring Quadratic Trinomials
Solving Quadratic Equations by Factoring or Completing the Square
Problem Solving Using Ratios, Proportions, and Percents
Direct and Inverse Variation
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Dividing Polynomials
Solving Rational Equations
Functions and Relations
Functions; Linear Functions, Exponential Functions, Quadratic Functions, Rational Functions
Exploring Data; Stem-and-Leaf Plots, Box-and-Whisker Plots, Measures of Central Tendency, Mean, Median, and Mode
The Distance Formula
Simplifying Radicals
Operations with Radicals
Solving Radical Equations
The Tangent of an Angle
Formal Use of Properties of Algebra