Ludium - Learn by Doing

Intermediate Algebra

01Factors and the Greatest Common Factor 02GCF of Polynomial Terms 03Factoring Polynomials Using the GCF 04Factoring by Grouping Problem set0/10 Problem set 20/10 Practice∞

01Diamond Method for Trinomials (a = 1)02The Complete Factoring Checklist 03Splitting the Middle Term 04Diamond Method Special Cases Problem set0/10 Problem set 20/10 Practice∞

01Factoring Trinomials When a ≠ 1 02Sign Strategies for Factoring Trinomials 03Factoring Trinomials: GCF & Special Cases Problem set0/10 Problem set 20/10 Practice∞

01Factoring Checklist & Diamond Method 02Factoring a² − b² 03Factoring Completely 04Sum and Difference of Cubes Problem set0/10 Problem set 20/10 Practice∞

01The Zero Product Property 02Solving Quadratics by Factoring 03Factoring Quadratics: AC Method 04Factoring Higher-Degree Polynomials Problem set0/10 Problem set 20/10 Practice∞

01Translating Words into Equations 02Difference of Squares in Free Fall 03Area Word Problems as Quadratics 04Consecutive Integers & Right Triangles Problem set0/10 Problem set 20/10 Practice∞

01Domain of Rational Functions 02Simplifying Rational Expressions 03Factoring Out −1 in Rational Expressions 04Sum and Difference of Cubes Problem set0/10 Problem set 20/10 Practice∞

01Multiplying Rational Expressions 02Dividing Rational Expressions 03GCF, Diamond Method, and Grouping Problem set0/10 Problem set 20/10 Practice∞

01Adding & Subtracting Rational Expressions 02Finding the Least Common Denominator 03Least Common Denominators 04Equivalent Rational Expressions Problem set0/10 Problem set 20/10 Practice∞

01Adding & Subtracting Rational Expressions 02Rational Expressions: Factors vs. Terms 03Simplifying Rational Expressions 04Subtracting Rational Expressions Problem set0/10 Problem set 20/10 Practice∞

01Clearing Fractions with the LCD 02Solving Rational Equations 03Extraneous Solutions Problem set0/10 Problem set 20/10 Practice∞

01Cross Multiplication 02Proportions and Cross-Multiplication 03Rational Equations & the LCD Method 04Combined Work Rates: 1/a + 1/b = 1/x 05Two-Traveler D = R × T Problems Problem set0/10 Problem set 20/10 Practice∞

01Simplifying Complex Fractions 02Simplifying Complex Fractions 03Complex Fractions & Negative Exponents Problem set0/10 Problem set 20/10 Practice∞

01Graphing Linear Functions 02Three Forms of Linear Equations 03Slope Formula & Point-Slope Form 04Parallel & Perpendicular Line Equations Problem set0/10 Problem set 20/10 Practice∞

01Function Notation 02Negative Signs in Square Roots 03−x² vs (−x)² 04Four Parent Functions 05Horizontal & Vertical Shifts Problem set0/10 Problem set 20/10 Practice∞

01Evaluating Piecewise Functions 02Graphing Piecewise Functions 03Horizontal & Vertical Graph Shifts 04Reflections and Shifts Problem set0/10 Problem set 20/10 Practice∞

01Direct Variation: y = kx 02Inverse Variation Problem set0/10 Problem set 20/10 Practice∞

01Solving Linear Inequalities 02And Compound Inequalities 03Solving Three-Part Inequalities 04'Or' Inequalities and Set Union Problem set0/10 Problem set 20/10 Practice∞

01Absolute Value as Distance from Zero 02Solving Absolute Value Equations 03Isolating Absolute Value Equations 04|A| = |B|: Two Cases, Not Four Problem set0/10 Problem set 20/10 Practice∞

01Absolute Value Inequalities: Less-Than 02Absolute Value Inequalities: The OR Case Problem set0/10 Problem set 20/10 Practice∞

01Linear Inequalities and Half-Planes 02Cover-Up Method for Linear Inequalities 03When Cover-Up Fails 04Systems of Linear Inequalities Problem set0/10 Problem set 20/10 Practice∞

01Square Roots and Perfect Squares 02The Index Rule for Radicals 03Simplifying Radicals with Variables 04Graphing Radical Functions by Transforma…Problem set0/10 Problem set 20/10 Practice∞

01Rational Exponents 02Rational Exponents 03Rational and Negative Exponents 04Rules for Rational Exponents 05Fractional Exponents: Factor and Simplify 06Multiplying Radicals with Unlike Indices Problem set0/10 Problem set 20/10 Practice∞

01Product and Quotient Rules for Radicals 02Simplifying Radicals 03Simplifying Radicals by Chunking 04The Quotient Rule for Radicals Problem set0/10 Problem set 20/10 Practice∞

01Adding and Subtracting Like Radicals 02Adding and Subtracting Radicals 03Multiplying Radicals 04Squaring Radical Binomials with FOIL Problem set0/10 Problem set 20/10 Practice∞

01Rationalizing the Denominator 02Rationalizing nth Roots 03Rationalizing with Conjugates 04Rationalizing the Numerator Problem set0/10 Problem set 20/10 Practice∞

01Solving Radical Equations Using Inverse Powers 02Radical Equations That Become Quadratics 03Extraneous Solutions in Radical Equations 04Pythagorean Theorem with Radicals Problem set0/10 Problem set 20/10 Practice∞

01The Imaginary Unit i 02Adding and Subtracting Complex Numbers 03Multiplying Complex Numbers 04Complex Division by the Conjugate 05Powers of i and the Mod-4 Cycle Problem set0/10 Problem set 20/10 Practice∞

01The ± Rule for Solving Quadratics 02Square Root Method and Complex Solutions 03Completing the Square 04Deriving the Quadratic Formula Problem set0/10 Problem set 20/10 Practice∞

01Deriving the Quadratic Formula 02The Quadratic Formula 03Simplifying Quadratic Formula Answers 04The Discriminant 05Quadratics in Geometry: Choosing the Real Answer Problem set0/10 Problem set 20/10 Practice∞

01Extraneous Solutions in Radical Equations 02Solving Rational Equations 03Solving Quartics by Substitution 04Solving Equations by Substitution 05Work-Rate Problems with Quadratics Problem set0/10 Problem set 20/10 Practice∞

01Solving Quadratic Inequalities 02Quadratic Inequalities — Worked Examples 03Solving Cubic Inequalities by Sign 04Solving Rational Inequalities Problem set0/10 Problem set 20/10 Practice∞

01Quadratic Functions and Parabolas 02Horizontal Shifts and Vertex Form 03The Leading Coefficient a 04Graphing Parabolas in Vertex Form Problem set0/10 Problem set 20/10 Practice∞

01Graphing Parabolas from General Form 02Parabola Intercepts 03Graphing Parabolas: Vertex and Intercepts 04X-Intercepts: Factoring and the Sign Trap 05The Discriminant and Parabola Intercepts 06Graphing Parabolas When A Is Negative 07Quadratic Functions and Projectile Motion Problem set0/10 Problem set 20/10 Practice∞

01The Four Operations on Functions 02Composition of Functions: The Inside-Out Method 03Composition: Cancellation and Why Order Matters Problem set0/10 Problem set 20/10 Practice∞