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OpenStax Elementary Algebra 2e (2nd edition (2020), CC BY 4.0) has 10 chapters and 72 lessons. In MathBound’s free Algebra I game, each chapter becomes a sky island and each lesson a landing on it, asking that lesson’s kinds of problem. The book’s own numbers are kept, so your students can find their place.

Whole numbers through quadratic equations. Chapter and section names from OpenStax, used under CC BY 4.0.

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Before Chapter 1Pre-Algebra review, in The Guild Workshop

Optional, and the same for every book: a warm-up that is also the battle tutorial.

  1. P1Whole numbers and place valuePractice it
  2. P2Picturing fractionsPractice it
  3. P3Adding and subtracting fractionsPractice it
  4. P4DecimalsPractice it
  5. P5Units of measurementPractice it

Chapter 1Foundations

In the game: Windward Landing, island 1

  1. 1.1Introduction to Whole NumbersWhole Numbers and Place Value
  2. 1.2Use the Language of AlgebraUse the Language of Algebra
  3. 1.3Add and Subtract IntegersAdd and Subtract Integers
  4. 1.4Multiply and Divide IntegersMultiply and Divide Integers
  5. 1.5Visualize FractionsVisualize Fractions
  6. 1.6Add and Subtract FractionsAdd and Subtract Fractions
  7. 1.7DecimalsDecimals
  8. 1.8The Real NumbersThe Real Numbers
  9. 1.9Properties of Real NumbersProperties of Real Numbers
  10. 1.10Systems of MeasurementMeasurement and Unit Conversions

Chapter 2Solving Linear Equations

In the game: Brasswing Bluffs, island 2

  1. 2.1Addition and Subtraction PropertiesOne-Step Equations: Adding and Subtracting
  2. 2.2Multiplication and Division PropertiesOne-Step Equations: Multiplying and Dividing
  3. 2.3aVariables on Both SidesVariables on Both Sides, Two-Step Equations
  4. 2.3bVariables and Constants on Both SidesVariables and Constants on Both Sides
  5. 2.4General StrategyMulti-Step Linear Equations
  6. 2.5Fractions and DecimalsEquations with Fractions and Decimals
  7. 2.6FormulasSolving Formulas for a Variable, Distance, Rate and Time
  8. 2.7Linear InequalitiesSolving Linear Inequalities

Chapter 3Math Models

In the game: Lantern Isle, island 3

  1. 3.1Problem-Solving StrategyTurning Words into Equations
  2. 3.2Percent ApplicationsPercent Word Problems
  3. 3.3Mixture ApplicationsMixture and Coin Problems, Mixture Problems with Systems
  4. 3.4Geometry ApplicationsPerimeter, Area and Circles, Right Triangles
  5. 3.5Uniform MotionDistance, Rate and Time
  6. 3.6Linear Inequalities ApplicationsInequality Word Problems

Chapter 4Graphs and Functions

In the game: Cogspire Heights, island 4

  1. 4.1Rectangular Coordinate SystemThe Coordinate Plane
  2. 4.2Graph Linear EquationsGraph Linear Equations
  3. 4.3InterceptsIntercepts
  4. 4.4SlopeSlope
  5. 4.5Slope-Intercept FormSlope-Intercept Form, Linear Models in Context
  6. 4.6Equation of a LineEquation of a Line
  7. 4.7Linear InequalitiesGraphing Inequalities in Two Variables

Chapter 5Systems of Linear Equations

In the game: Mistfall Terraces, island 5

  1. 5.1Solve by GraphingSolving Systems by Graphing
  2. 5.2Solve by SubstitutionSolving Systems by Substitution
  3. 5.3Solve by EliminationSolving Systems by Elimination
  4. 5.4Systems ApplicationsSystems of Equations Word Problems, Solving Systems by Substitution, Turning Words into Equations, Perimeter, Area and Circles
  5. 5.5Mixture Applications with SystemsMixture Problems with Systems
  6. 5.6Systems of Linear InequalitiesSystems of Linear Inequalities, Solving Systems by Graphing, Graphing Inequalities in Two Variables

Chapter 6Polynomials

In the game: Kitecliff Reach, island 6

  1. 6.1Add and Subtract PolynomialsAdd and Subtract Polynomials
  2. 6.2Multiplication Properties of ExponentsProduct and Power Properties of Exponents
  3. 6.3Multiply PolynomialsMultiply Polynomials
  4. 6.4Special ProductsSpecial Products
  5. 6.5Divide MonomialsQuotient Property and Zero Exponents
  6. 6.6Divide PolynomialsDivide Polynomials
  7. 6.7Integer Exponents and Scientific NotationInteger Exponents and Scientific Notation

Chapter 7Factoring

In the game: Gearwhistle Foundry, island 7

  1. 7.1Greatest Common Factor and GroupingGreatest Common Factor and Grouping
  2. 7.2Factor Trinomials x^2+bx+cFactoring Trinomials (x² + bx + c)
  3. 7.3Factor Trinomials ax^2+bx+cFactoring Trinomials (ax² + bx + c)
  4. 7.4Factor Special ProductsFactor Special Products
  5. 7.5General Factoring StrategyGeneral Factoring Strategy
  6. 7.6Quadratic EquationsSolving Quadratics by Factoring

Chapter 8Rational Expressions and Equations

In the game: Sunsail Archipelago, island 8

  1. 8.1Simplify Rational ExpressionsSimplify Rational Expressions
  2. 8.2Multiply and DivideMultiplying and Dividing Rational Expressions
  3. 8.3Add/Subtract with Common DenominatorsAdding Rational Expressions (Common Denominators)
  4. 8.4Add/Subtract with Unlike DenominatorsAdding Rational Expressions (Unlike Denominators)
  5. 8.5Complex Rational ExpressionsComplex Rational Expressions
  6. 8.6Solve Rational EquationsSolve Rational Equations
  7. 8.7Proportion and Similar FiguresProportion and Similar Figures
  8. 8.8Uniform Motion and WorkDistance, Rate and Time, Solve Rational Equations, Motion and Work Problems
  9. 8.9Direct and Inverse VariationDirect and Inverse Variation

Chapter 9Roots and Radicals

In the game: Thunderhead Rookery, island 9

  1. 9.1Simplify and Use Square RootsUsing Square Roots
  2. 9.2Simplify Square RootsSimplify Square Roots
  3. 9.3Add and Subtract Square RootsAdd and Subtract Square Roots
  4. 9.4Multiply Square RootsMultiply Square Roots
  5. 9.5Divide Square RootsDivide Square Roots
  6. 9.6Solve Radical EquationsSolve Radical Equations, Solving Quadratics by Factoring
  7. 9.7Higher RootsHigher Roots
  8. 9.8Rational ExponentsRational Exponents, Product and Power Properties of Exponents

Chapter 10Quadratic Equations

In the game: Copperroot Hollow, island 10

  1. 10.1Square Root PropertySquare Root Property
  2. 10.2Complete the SquareComplete the Square
  3. 10.3Quadratic FormulaQuadratic Formula
  4. 10.4Quadratic ApplicationsQuadratic Word Problems, Right Triangles
  5. 10.5Graph Quadratic EquationsGraphing Parabolas

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