Prealgebra & Introductory Algebra

• Preface to Instructors
• Preface to Students
• XYZ Learning Strategies   New
  • Chapter Introduction
  • Learning Styles and Study Plans
  • Growth Mindset: Growth, Resilience, Hardiness, Grit
  • Reading and Cognitive Techniques
• 1 - Whole Numbers
  • Chapter Introduction
  • 1.1 - Place Value and Names for Numbers
  • 1.2 - Addition with Whole Numbers, and Perimeter
  • 1.3 - Subtraction with Whole Numbers
  • 1.4 - Rounding Numbers, Estimating Answers, and Displaying Information
  • 1.5 - Multiplication with Whole Numbers, and Area
  • 1.6 - Division with Whole Numbers
  • 1.7 - Exponents and Order of Operations
  • Chapter Test & Summary
• 2 - Operations with Integers
  • Chapter Introduction
  • 2.1 - Positive and Negative Numbers
  • 2.2 - Addition with Integers
  • 2.3 - Subtraction with Integers
  • 2.4 - Multiplication with Integers
  • 2.5 - Division with Integers
  • Chapter Test & Summary
• 3 - Solving Equations
  • Chapter Introduction
  • 3.1 - The Distributive Property and Algebraic Expressions
  • 3.2 - The Addition and Subtraction Properties of Equality
  • 3.3 - The Multiplication and Division Properties of Equality
  • 3.4 - Linear Equations in One Variable
  • 3.5 - Evaluating Formulas
  • 3.6 - Applications
  • Chapter Test & Summary
• 4 - Fractions
  • Chapter Introduction
  • 4.1 - Introduction to Fractions
  • 4.2 - Prime Numbers, Factors, and Reducing to Lowest Terms
  • 4.3 - Multiplication with Fractions, and the Area of a Triangle
  • 4.4 - Division with Fractions
  • 4.5 - Addition and Subtraction with Fractions
  • 4.6 - Operations with Mixed Numbers
  • 4.7 - Order of Operations and Complex Fractions
  • 4.8 - Solving Equations Involving Fractions
  • Chapter Test & Summary
• 5 - Decimals
  • Chapter Introduction
  • 5.1 - Decimal Notation, Place Value, and Rounding
  • 5.2 - Addition and Subtraction with Decimals
  • 5.3 - Multiplication with Decimals
  • 5.4 - Division with Decimals
  • 5.5 - Fractions and Decimals
  • 5.6 - Equations With Decimals
  • 5.7 - Square Roots and The Pythagorean Theorem
  • 5.8 - Simplifying Square Roots
  • 5.9 - Adding and Subtracting Square Roots
  • Chapter Test & Summary
• 6 - Ratio and Proportion
  • Chapter Introduction
  • 6.1 - Ratios
  • 6.2 - Rates and Unit Pricing
  • 6.3 - Proportions
  • 6.4 - Applications of Proportions
  • 6.5 - Similar Figures
  • 6.6 - Mean, Median, and Mode
  • Chapter Test & Summary
• 7 - Percent
  • Chapter Introduction
  • 7.1 - Percents, Decimals, and Fractions
  • 7.2 - Percent Problems
  • 7.3 - General Applications of Percent
  • 7.4 - Sales Tax and Commission
  • 7.5 - Percent Increase or Decrease, and Discount
  • 7.6 - Interest
  • 7.7 - Pie Charts
  • Chapter Test & Summary
• 8 - Measurement
  • Chapter Introduction
  • 8.1 - Perimeter and Area
  • 8.2 - Surface Area
  • 8.3 - Volume
  • 8.4 - Length
  • 8.5 - Weight and Capacity
  • 8.6 - Converting Between the Two Systems, and Temperature
  • 8.7 - Operations with Time, and Mixed Units
  • Chapter Test & Summary
• 9 - Linear Equations and Inequalities in One Variable
  • Chapter Introduction
  • 9.1 - Algebraic Expressions
  • 9.2 - Linear Equations Revisited
  • 9.3 - A General Approach to Linear Equations
  • 9.4 - Formulas
  • 9.5 - Applications of Linear Equations
  • 9.6 - Linear Inequalities in One Variable
  • Chapter Test & Summary
• 10 - Exponents and Polynomials
  • Chapter Introduction
  • 10.1 - Multiplication with Exponents and Scientific Notation
  • 10.2 - Negative Exponents
  • 10.3 - Operations with Monomials
  • 10.4 - Addition and Subtraction of Polynomials
  • 10.5 - Multiplication of Polynomials
  • 10.6 - Special Products
  • 10.7 - Dividing Polynomials
  • Chapter Test & Summary
• 11 - Factoring Polynomials
  • Chapter Introduction
  • 11.1 - The Greatest Common Factor and Factoring by Grouping
  • 11.2 - Factoring Trinomials of the Form x² + bx + c
  • 11.3 - Factoring Trinomials of the Form ax² + bx + c
  • 11.4 - The Difference of Two Squares and Perfect Square Trinomials
  • 11.5 - The Sum and Difference of Two Cubes
  • 11.6 - Factoring: A General Review
  • 11.7 - Solving Quadratic Equations by Factoring
  • 11.8 - Applications of Quadratic Equations
  • Chapter Test & Summary
• 12 - Rational Expressions and Equations
  • Chapter Introduction
  • 12.1 - Simplifying Rational Expressions
  • 12.2 - Multiplication and Division of Rational Expressions
  • 12.3 - Addition and Subtraction of Rational Expressions
  • 12.4 - Equations Involving Rational Expressions
  • 12.5 - Applications of Rational Equations
  • 12.6 - Complex Fractions
  • Chapter Test & Summary
• 13 - Graphing Linear Equations with Applications
  • Chapter Introduction
  • 13.1 - The Rectangular Coordinate System
  • 13.2 - Graphs of Linear Equations
  • 13.3 - Intercepts
  • 13.4 - Slope
  • 13.5 - Equations of Lines
  • 13.6 - Linear Inequalities in Two Variables
  • 13.7 - Displaying Information
  • 13.8 - Introduction to Functions
  • 13.9 - Variation
  • Chapter Test & Summary
• 14 - Systems of Equations
  • Chapter Introduction
  • 14.1 - Solving Linear Systems by Graphing
  • 14.2 - The Substitution Method
  • 14.3 - The Elimination Method
  • 14.4 - Applications of Systems of Equations
  • 14.5 - System of Linear Inequalities
  • Chapter Test & Summary
• 15 - Radical Expressions and Equations
  • Chapter Introduction
  • 15.1 - Radical Expressions
  • 15.2 - Simplifying Radicals
  • 15.3 - Addition and Subtraction of Radicals
  • 15.4 - Multiplication and Division of Radicals
  • 15.5 - Radical Equations
  • 15.6 - Complex Numbers
  • Chapter Test & Summary
• 16 - Quadratic Equations and Functions
  • Chapter Introduction
  • 16.1 - Factoring and the Square Root Property
  • 16.2 - Completing the Square
  • 16.3 - The Quadratic Formula
  • 16.4 - Graphing Quadratic Equations
  • Chapter Test & Summary
• Answers
• Index