Solidify your arithmetic, learn about variables and graphs, level up your algebra, and learn the essentials of geometry.
| 1.1.1. | Adding Fractions and Whole Numbers Using Models | |
| 1.1.2. | Adding Fractions and Whole Numbers | |
| 1.1.3. | Subtracting Fractions and Whole Numbers Using Models | |
| 1.1.4. | Subtracting Fractions and Whole Numbers |
| 1.2.1. | Least Common Multiples | |
| 1.2.2. | Least Common Denominators | |
| 1.2.3. | Comparing Fraction Models Using Common Denominators | |
| 1.2.4. | Comparing Fractions Using Common Denominators | |
| 1.2.5. | Adding Fractions With Unlike Denominators Using Models | |
| 1.2.6. | Subtracting Fractions With Unlike Denominators Using Models | |
| 1.2.7. | Adding Fractions With Unlike Denominators | |
| 1.2.8. | Subtracting Fractions With Unlike Denominators |
| 1.3.1. | Adding Mixed Numbers With Unlike Denominators | |
| 1.3.2. | Subtracting Mixed Numbers With Unlike Denominators | |
| 1.3.3. | Subtracting Mixed Numbers With Unlike Denominators Using Improper Fractions |
| 1.4.1. | Multiplying Unit Fractions by Whole Numbers Using Models | |
| 1.4.2. | Multiplying Fractions by Whole Numbers Using Models | |
| 1.4.3. | Multiplying Fractions by Whole Numbers | |
| 1.4.4. | Multiplying Fractions by Whole Numbers: Word Problems | |
| 1.4.5. | Strategies to Simplify Whole Number and Fraction Multiplication | |
| 1.4.6. | Multiplying Mixed Numbers by Whole Numbers | |
| 1.4.7. | Multiplying Fractions by Unit Fractions Using Models | |
| 1.4.8. | Multiplying Fractions Using Models | |
| 1.4.9. | Multiplying Fractions | |
| 1.4.10. | Multiplying Fractions: Word Problems | |
| 1.4.11. | Strategies to Simplify Fraction Multiplication | |
| 1.4.12. | Multiplying Mixed Numbers by Fractions | |
| 1.4.13. | Multiplying Mixed Numbers | |
| 1.4.14. | Multiplying Mixed Numbers: Word Problems |
| 1.5.1. | Dividing Whole Numbers by Unit Fractions Using Models | |
| 1.5.2. | Dividing Whole Numbers by Unit Fractions | |
| 1.5.3. | Dividing Unit Fractions by Whole Numbers Using Models | |
| 1.5.4. | Dividing Unit Fractions by Whole Numbers | |
| 1.5.5. | Reciprocals | |
| 1.5.6. | Dividing Whole Numbers by Fractions Using Models | |
| 1.5.7. | Dividing Whole Numbers by Fractions | |
| 1.5.8. | Dividing Fractions by Whole Numbers Using Models | |
| 1.5.9. | Dividing Fractions by Whole Numbers | |
| 1.5.10. | Dividing Fractions Using Models | |
| 1.5.11. | Dividing Fractions |
| 2.6.1. | Introduction to Ratios | |
| 2.6.2. | Equivalent Ratios | |
| 2.6.3. | Writing Ratios Using Fractions | |
| 2.6.4. | Ratio Tables | |
| 2.6.5. | Graphing Ratios | |
| 2.6.6. | Unit Rates | |
| 2.6.7. | Solving Problems Using Unit Rates | |
| 2.6.8. | Speed as a Unit Rate |
| 2.7.1. | Units of Length | |
| 2.7.2. | Units of Mass | |
| 2.7.3. | Units of Time | |
| 2.7.4. | Units of Volume | |
| 2.7.5. | Units of Area and Volume | |
| 2.7.6. | Unit Conversions Using Base Units of Mass | |
| 2.7.7. | Two-Step Unit Conversions | |
| 2.7.8. | Unit Conversions Using Base Units of Length | |
| 2.7.9. | Unit Conversions Using Units of Time | |
| 2.7.10. | Converting Units of Area to Smaller Units | |
| 2.7.11. | Converting Units of Area to Larger Units | |
| 2.7.12. | Determining Units in Formulas | |
| 2.7.13. | Selecting Units for Rates of Change | |
| 2.7.14. | Degrees of Accuracy |
| 2.8.1. | Understanding Percentages Using Models | |
| 2.8.2. | Converting Between Percentages and Fractions | |
| 2.8.3. | Converting Between Percentages and Decimals | |
| 2.8.4. | Finding Part of a Number Given a Whole and a Percentage | |
| 2.8.5. | Finding Part of a Number Given a Whole and a Percentage: Word Problems | |
| 2.8.6. | Finding a Percentage Given Two Numbers | |
| 2.8.7. | Finding a Percentage Given Two Numbers: Word Problems | |
| 2.8.8. | Finding a Total Given a Part and a Percentage | |
| 2.8.9. | Percentage Increase, Decrease, and Error |
| 3.9.1. | Subtracting a Positive Number From a Smaller Positive Number | |
| 3.9.2. | Subtracting a Positive Number From a Negative Number | |
| 3.9.3. | Subtracting a Positive Fraction From a Smaller Fraction | |
| 3.9.4. | Subtracting a Positive Decimal From a Smaller Decimal | |
| 3.9.5. | Adding a Positive Number to a Negative Number | |
| 3.9.6. | Adding a Negative Number | |
| 3.9.7. | Subtracting a Negative Number | |
| 3.9.8. | Additive Inverses of Numbers | |
| 3.9.9. | Solving Problems Using Addition and Subtraction of Rational Numbers | |
| 3.9.10. | Absolute Value |
| 3.10.1. | Multiplying Positive Numbers With Negative Numbers | |
| 3.10.2. | Multiplying Negative Numbers | |
| 3.10.3. | Dividing With Negative Numbers | |
| 3.10.4. | Equivalent Fractions With Negative Numbers | |
| 3.10.5. | Dividing With Negative Decimals and Fractions | |
| 3.10.6. | Reciprocals of Rational Numbers | |
| 3.10.7. | Multiplying and Dividing With Zero | |
| 3.10.8. | Fractions of Fractions | |
| 3.10.9. | Solving Problems Using the Four Operations on Rational Numbers |
| 3.11.1. | Prime and Composite Numbers | |
| 3.11.2. | Prime Factorization of Integers | |
| 3.11.3. | Finding Greatest Common Factors Using Prime Factorization | |
| 3.11.4. | Finding Lowest Common Multiples Using Prime Factorization | |
| 3.11.5. | Natural Numbers, Integers, and Rational Numbers |
| 4.12.1. | Introduction to Exponents | |
| 4.12.2. | Evaluating Exponents | |
| 4.12.3. | Evaluating Larger Exponents | |
| 4.12.4. | Evaluating Exponents With Fractional Bases | |
| 4.12.5. | Evaluating Exponents With Decimal Bases | |
| 4.12.6. | Evaluating Whole Number Expressions Containing Exponents | |
| 4.12.7. | Squaring Rational Numbers | |
| 4.12.8. | Cubing Rational Numbers | |
| 4.12.9. | Exponents With Rational Bases | |
| 4.12.10. | The Zeroth Power | |
| 4.12.11. | Powers of Negative One | |
| 4.12.12. | Negative Exponents |
| 4.13.1. | The Product Rule for Exponents | |
| 4.13.2. | The Quotient Rule for Exponents | |
| 4.13.3. | The Power Rule for Exponents | |
| 4.13.4. | The Power of Product Rule for Exponents | |
| 4.13.5. | The Power of Quotient Rule for Exponents | |
| 4.13.6. | Combining the Rules of Exponents |
| 4.14.1. | Evaluating Rational Number Expressions Without Exponents | |
| 4.14.2. | Evaluating Rational Number Expressions With Positive Integer Exponents | |
| 4.14.3. | Evaluating Rational Number Expressions With Integer Exponents |
| 4.15.1. | The Square Root of a Perfect Square | |
| 4.15.2. | Squaring a Square Root | |
| 4.15.3. | The Cube Root of a Perfect Cube | |
| 4.15.4. | Surds | |
| 4.15.5. | Simplifying Expressions With Surds | |
| 4.15.6. | Evaluating Numerical Expressions Containing Radicals | |
| 4.15.7. | Adding and Subtracting Radicals | |
| 4.15.8. | Rationalizing Denominators |
| 4.16.1. | Radicals as Fractional Exponents | |
| 4.16.2. | The Product Rule for Radicals | |
| 4.16.3. | The Quotient Rule for Radicals |
| 5.17.1. | Introduction to Algebraic Expressions | |
| 5.17.2. | Constructing Algebraic Expressions | |
| 5.17.3. | Evaluating Linear Expressions | |
| 5.17.4. | Evaluating Rational Expressions | |
| 5.17.5. | Identifying Terms in Linear Expressions | |
| 5.17.6. | Identifying Coefficients and Constants in Linear Expressions | |
| 5.17.7. | The Greatest Common Factor of Two Linear Expressions |
| 5.18.1. | Identifying Like Terms in a Linear Expression | |
| 5.18.2. | Collecting Like Terms in a Linear Expression | |
| 5.18.3. | Applying the Distributive Law With Linear Expressions | |
| 5.18.4. | The Distributive Law With Three Terms | |
| 5.18.5. | Distributing the Negative Sign in a Linear Expression | |
| 5.18.6. | Simplifying Linear Expressions Using the Distributive Law | |
| 5.18.7. | Simplifying Linear Expressions When a Group of Terms Is Subtracted | |
| 5.18.8. | Simplifying Linear Expressions Containing Fractions | |
| 5.18.9. | Factoring Linear Expressions |
| 5.19.1. | Solving Linear Equations by Trial and Error | |
| 5.19.2. | Solving One-Step Addition and Subtraction Equations | |
| 5.19.3. | Solving One-Step Multiplication and Division Equations |
| 5.20.1. | Solving Two-Step Equations | |
| 5.20.2. | Solving Linear Equations With Fractional Coefficients | |
| 5.20.3. | Solving Linear Equations With Decimal Coefficients | |
| 5.20.4. | Solving Linear Equations With Variables on Both Sides | |
| 5.20.5. | Solving Linear Equations by Clearing a Rational Expression | |
| 5.20.6. | Solving Linear Equations Using Cross-Multiplication | |
| 5.20.7. | Solving Two-Variable Equations | |
| 5.20.8. | Equations With Many Solutions and No Solutions | |
| 5.20.9. | Solving Linear Equations With Unknown Coefficients | |
| 5.20.10. | Solving Linear Equations With Unknown Coefficients by Factoring | |
| 5.20.11. | Solving Many-Variable Equations |
| 5.21.1. | Interpreting Linear Expressions | |
| 5.21.2. | Modeling With Linear Equations |
| 5.22.1. | Inequalities | |
| 5.22.2. | Compound Inequalities | |
| 5.22.3. | Verifying Solutions of Linear Inequalities | |
| 5.22.4. | Solving One-Step Linear Inequalities | |
| 5.22.5. | Solving Two-Step Inequalities | |
| 5.22.6. | Representing Solutions to Inequalities on Number Lines | |
| 5.22.7. | Further Solving Linear Inequalities | |
| 5.22.8. | Solving Compound Inequalities | |
| 5.22.9. | Interval Notation | |
| 5.22.10. | Unbounded Intervals | |
| 5.22.11. | Unions of Intervals | |
| 5.22.12. | Intersections of Intervals | |
| 5.22.13. | Compound OR Inequalities | |
| 5.22.14. | Compound AND Inequalities |
| 5.23.1. | Solving Equations Using the Square Root Method | |
| 5.23.2. | Solving Equations With Odd Exponents Using the Nth Root Method | |
| 5.23.3. | Solving Equations With Even Exponents Using the Nth Root Method |
| 6.24.1. | The Cartesian Coordinate System | |
| 6.24.2. | The Distance Between Two Points in the Coordinate Plane | |
| 6.24.3. | Two-Variable Linear Equations and Their Solutions | |
| 6.24.4. | Graphing Linear Equations | |
| 6.24.5. | Horizontal and Vertical Lines | |
| 6.24.6. | Calculating Slopes of Straight Lines | |
| 6.24.7. | Equations of Lines in Slope-Intercept Form | |
| 6.24.8. | Finding Properties of Lines Given in Slope-Intercept Form | |
| 6.24.9. | Equations of Lines in Point-Slope Form | |
| 6.24.10. | Equations of Lines in Standard Form | |
| 6.24.11. | Determining Properties of Lines Given in Standard Form |
| 6.25.1. | Modeling With Linear Equations in Two Variables | |
| 6.25.2. | Further Modeling With Linear Equations in Two Variables | |
| 6.25.3. | Analyzing and Interpreting Graphs of Linear Equations |
| 6.26.1. | Introduction to Systems of Linear Equations | |
| 6.26.2. | Solving Systems of Two Linear Equations Using Substitution | |
| 6.26.3. | Introduction to the Elimination Method | |
| 6.26.4. | Solving Systems of Linear Equations Using Elimination: One Transformation | |
| 6.26.5. | Solving Systems of Linear Equations Using Elimination: Two Transformations | |
| 6.26.6. | Systems of Linear Equations With Fractional Coefficients | |
| 6.26.7. | Systems of Linear Equations With Decimal Coefficients | |
| 6.26.8. | Solving Systems of Nonlinear Equations Using Graphs | |
| 6.26.9. | Systems of Equations With No Solutions and Infinitely Many Solutions | |
| 6.26.10. | Calculating the Intersection of Two Lines |
| 7.27.1. | Writing Radical Expressions Using Fractional Exponents | |
| 7.27.2. | The Square Root of a Perfect Square With Algebraic Expressions | |
| 7.27.3. | The Square Root of a Perfect Square With Domain Restrictions | |
| 7.27.4. | The Cube Root of a Perfect Cube With Algebraic Expressions | |
| 7.27.5. | Simplifying Square Root Expressions Using the Product Rule | |
| 7.27.6. | Combining Radical Expressions Using the Product Rule | |
| 7.27.7. | Evaluating Algebraic Radical Expressions | |
| 7.27.8. | Adding and Subtracting Radical Expressions |
| 7.28.1. | Equivalent Expressions With Fractions | |
| 7.28.2. | Simplifying Rational Expressions | |
| 7.28.3. | Simplifying Rational Expressions by Factoring | |
| 7.28.4. | Splitting Rational Expressions Into Separate Terms |
| 7.29.1. | Solving Rational Equations Containing One Fractional Term | |
| 7.29.2. | Solving Rational Equations Using Cross-Multiplication | |
| 7.29.3. | Solving Rational Equations Containing Binomials Using Cross-Multiplication | |
| 7.29.4. | Solving Rational Equations Using the Flip Method |
| 8.30.1. | Introduction to Functions | |
| 8.30.2. | Visual Representations of Functions | |
| 8.30.3. | Graphs of Functions | |
| 8.30.4. | The Domain of a Function | |
| 8.30.5. | Global Extrema of Functions | |
| 8.30.6. | End Behavior of Functions | |
| 8.30.7. | The Range of a Function | |
| 8.30.8. | The Range of a Function: Advanced Cases | |
| 8.30.9. | The Roots of a Function | |
| 8.30.10. | Increasing and Decreasing Functions | |
| 8.30.11. | Piecewise Functions | |
| 8.30.12. | Modeling With Linear Functions |
| 9.31.1. | Absolute Value Expressions | |
| 9.31.2. | Rules of Absolute Value | |
| 9.31.3. | Further Rules of Absolute Value | |
| 9.31.4. | Absolute Value Equations | |
| 9.31.5. | Further Absolute Value Equations | |
| 9.31.6. | Absolute Value Inequalities | |
| 9.31.7. | Absolute Value Graphs |
| 10.32.1. | The Product Rule for Exponents With Algebraic Expressions | |
| 10.32.2. | The Quotient Rule for Exponents With Algebraic Expressions | |
| 10.32.3. | The Power Rule for Exponents With Algebraic Expressions | |
| 10.32.4. | The Power of Product Rule With Algebraic Expressions | |
| 10.32.5. | The Power of Quotient Rule With Algebraic Expressions |
| 10.33.1. | Solving Exponential Equations | |
| 10.33.2. | Creating Exponential Growth Expressions | |
| 10.33.3. | Creating Exponential Decay Expressions |
| 10.34.1. | Exponential Functions | |
| 10.34.2. | Modeling Exponential Growth With Functions | |
| 10.34.3. | Interpreting Exponential Growth | |
| 10.34.4. | Solving Exponential Growth Problems | |
| 10.34.5. | Modeling Exponential Decay With Functions | |
| 10.34.6. | Interpreting Exponential Decay | |
| 10.34.7. | Solving Exponential Decay Problems | |
| 10.34.8. | Graphing Exponential Growth Functions | |
| 10.34.9. | Graphing Exponential Decay Functions |
| 11.35.1. | Introduction to Polynomials | |
| 11.35.2. | The Degree of a Polynomial | |
| 11.35.3. | Simplifying Polynomials | |
| 11.35.4. | The Distributive Law for Polynomials | |
| 11.35.5. | Adding and Subtracting Polynomials | |
| 11.35.6. | Monomials, Binomials and Trinomials | |
| 11.35.7. | Multiplying Binomials | |
| 11.35.8. | Multiplying Polynomials | |
| 11.35.9. | Squaring Binomials | |
| 11.35.10. | Expanding Binomials Using Pascal's Triangle | |
| 11.35.11. | The Difference of Squares Formula |
| 11.36.1. | The Greatest Common Factor of Two Monomials | |
| 11.36.2. | Factoring Simple Polynomials Using Greatest Common Factors | |
| 11.36.3. | Factoring Perfect Square Trinomials | |
| 11.36.4. | Factoring Perfect Square Trinomials With Leading Coefficients | |
| 11.36.5. | Factoring Differences of Squares | |
| 11.36.6. | Factoring Trinomials | |
| 11.36.7. | Factoring Trinomials Using Common Factors | |
| 11.36.8. | Factoring Trinomials With Leading Coefficients |
| 12.37.1. | Points, Lines, Rays, and Segments | |
| 12.37.2. | Parallel and Perpendicular Lines | |
| 12.37.3. | Measures of Segments | |
| 12.37.4. | Congruent Segments | |
| 12.37.5. | Midpoints | |
| 12.37.6. | Collinear Points | |
| 12.37.7. | The Segment Addition Postulate |
| 12.38.1. | Angles and Measures of Angles | |
| 12.38.2. | Measuring Angles Using a Protractor | |
| 12.38.3. | Sums of Angles | |
| 12.38.4. | Right, Straight, Full, and Null Angles | |
| 12.38.5. | Acute, Obtuse, and Reflex Angles | |
| 12.38.6. | Congruent Angles | |
| 12.38.7. | Vertical Angles | |
| 12.38.8. | Solving Problems With Angles |
| 12.39.1. | Complementary Angles | |
| 12.39.2. | Supplementary Angles | |
| 12.39.3. | Corresponding Angles | |
| 12.39.4. | Alternate Angles | |
| 12.39.5. | Consecutive Angles | |
| 12.39.6. | The Perpendicular Bisector Theorem |
| 12.40.1. | Introduction to Circles | |
| 12.40.2. | Arcs, Segments, and Sectors of Circles | |
| 12.40.3. | The Circumference of a Circle | |
| 12.40.4. | Areas of Circles |
| 13.41.1. | Interior Angles of Triangles | |
| 13.41.2. | Exterior Angles of Triangles | |
| 13.41.3. | Classifying Triangles | |
| 13.41.4. | The Triangle Inequality | |
| 13.41.5. | The Isosceles Triangle Theorem | |
| 13.41.6. | Heights of Triangles | |
| 13.41.7. | The Pythagorean Theorem | |
| 13.41.8. | The 45-45-90 Triangle | |
| 13.41.9. | The 30-60-90 Triangle |
| 13.42.1. | Polygons | |
| 13.42.2. | Interior Angles of Polygons | |
| 13.42.3. | Exterior Angles of Polygons | |
| 13.42.4. | Congruent Polygons | |
| 13.42.5. | Regular Polygons | |
| 13.42.6. | The Perimeter of a Polygon | |
| 13.42.7. | Classifying Quadrilaterals | |
| 13.42.8. | Properties of Rectangles and Squares |
| 13.43.1. | Areas of Rectangles and Squares | |
| 13.43.2. | Areas of Triangles | |
| 13.43.3. | Areas of Trapezoids |
