🕹️ Practice arcade
Extra games, not extra homework — timed sprints, survival runs that end when your lives run out, and mastery drills built from the same skills College Algebra teaches.
⚡ Sprints
Beat the clock.
⚡ Like-Term Blitz
Sixty seconds. Simplify as many expressions as you can — combine like terms, distribute, repeat.
⚡ Equation Sprint
Solve as many linear equations as you can before the clock runs out.
🧩 Factoring Frenzy
Factor trinomials — easy ones first, then the ones where the leading coefficient isn't 1.
📈 Slope Sprint
Two points, one slope. How many can you find in a minute?
⚡ Language of Math Sprint
Word phrases to numbers, set sizes, interval integer counts, perfect squares, evaluating expressions, and absolute value distances — 120 seconds.
⚡ Fundamentals of Algebra Sprint
Order of operations, absolute value bounds, integer and rational exponents, scientific notation, and polynomial arithmetic — 120 seconds.
⚡ Rational Expressions Sprint
Simplify, multiply, divide, and evaluate rational expressions and complex fractions — 90 seconds.
⚡ Simplify Radicals Sprint
Pull out perfect-square factors and rationalize denominators — 90 seconds.
⚡ Equations and Applications Sprint
Literal equations, motion/geometry/interest word problems, absolute value and discriminant, rational and radical equations, quadratic-in-form — 150 seconds.
⚡ Inequalities and Critical Values Sprint
Compound inequality bounds, and critical values for rational and polynomial inequalities — 90 seconds.
⚡ Graphs and Functions Sprint
Distance and midpoint, circles from general form, parallel lines, piecewise and step functions — 150 seconds.
⚡ Function Fundamentals Sprint
Evaluate functions, find a domain's left endpoint, average rate of change, horizontal shifts, and inverse functions — 120 seconds.
⚡ Polynomial Functions Sprint
Projectile motion, vertex optimization, discriminant analysis, zeros and multiplicity, polynomial and synthetic division, the Remainder Theorem, and Rational Zero candidates — 150 seconds.
⚡ Complex Numbers and Zero Location Sprint
Complex arithmetic, conjugates, the Fundamental Theorem, Descartes' Rule of Signs, the Upper Bound Theorem, and irrational conjugate pairs — 120 seconds.
⚡ Rational Functions Sprint
Hidden domain exclusions, hole heights, and horizontal/slant asymptotes — 90 seconds.
⚡ Other Functions and Modeling Sprint
Radical function domains, absolute value vertices, direct/inverse/joint/combined variation, correlation and regression, and fitting an exponential model — 150 seconds.
⚡ Exponential and Logarithmic Fundamentals Sprint
Exponential models, evaluating and bracketing logarithms, and expanding log properties — 120 seconds.
⚡ Compound Growth and Equations Sprint
Compound interest (periodic and continuous), change of base, solving exponential and log equations, and half-life/doubling time — 150 seconds.
⚡ Exponential Applications Sprint
Newton's Law of Cooling, decibel scales, logistic growth, and exponential inequality direction — 150 seconds.
⚡ Angles and Circular Motion Sprint
Coterminal angles, fractions of a turn, arc length, sector area, angular speed, and trig function periods — 150 seconds.
⚡ Right Triangle Trig Sprint
Pythagorean triples, cofunction ratios, 45-45-90 and 30-60-90 triangles, and solving right triangles — 120 seconds.
⚡ Unit Circle Definitions Sprint
Find the missing coordinate of a point on the unit circle — 60 seconds.
⚡ Graphs of Trig Functions Sprint
Sine/cosine extremes, amplitude/period/phase shift, tan/cot/sec/csc graphs, sinusoidal models, and simple harmonic motion — 180 seconds.
⚡ Trig Identities Sprint
Cofunction identities, sum/difference formulas, combining sine and cosine, exact values, double- and half-angle identities, and product-to-sum — 180 seconds.
⚡ Inverse Trig and Equations Sprint
Evaluating inverse trig functions, compositions, and solving basic, identity-based, and multiple-angle trig equations — 150 seconds.
⚡ Triangles and Surveying Sprint
Law of Sines and Cosines, the ambiguous SSA case, Heron's formula, and baseline surveying — 180 seconds.
⚡ Vectors and Complex Numbers Sprint
Dot product, scalar projection, complex modulus and argument, De Moivre's Theorem, and nth roots of complex numbers — 180 seconds.
⚡ Geometric Vectors Sprint
Vector components from magnitude/direction, and unit vector components — 90 seconds.
⚡ Conic Sections Sprint
Circles, ellipses, parabolas, hyperbolas, rotation of axes, and completing the square on a translated conic — 180 seconds.
⚡ Parametric and Projectile Sprint
Constructing parametric equations, and projectile position/time-of-flight — 120 seconds.
⚡ Polar Conics Sprint
Evaluate a conic's polar equation at a given angle — 60 seconds.
🧮 Systems & Matrices Sprint
Solve systems, evaluate determinants, and work with matrices — 2.5 minutes.
🔢 Sequences & Series Sprint
Evaluate sequence terms, partial sums, and binomial expansions — 2.5 minutes.
🎲 Counting & Probability Sprint
Count arrangements and compute expected value, conditional, Bayes, and binomial probabilities — 2 minutes.
🧮 Composition & Difference Quotient Sprint
Evaluate composite functions and simplify difference quotients — ninety seconds of pre-derivative footwork.
🔀 Conditional, Bayes & Expected Value Sprint
Conditional probability from a joint/marginal, Bayes' posterior, and E(X) from a table -- two minutes, mixed.
⚡ Polar Form Readiness Sprint
Modulus, argument, De Moivre's Theorem, and nth roots of complex numbers — the polar-form toolkit every later chapter leans on.
🔢 Complex Arithmetic & Modulus Sprint
Multiply two complex numbers for the real part, find z times its own conjugate, or find |z| -- the three arithmetic facts everything else in this course leans on.
💀 Survival
Each miss costs a life — lose them all and the run ends.
🎯 Mastery
No clock — just get N in a row.
🎯 Transformation Mastery
Five in a row, no time pressure — prove you've really got horizontal/vertical shifts down.
🎯 Right-Triangle Mastery
Ladders, sightlines, angles of elevation — five correct in a row against real scenes.
🕵️ Mistake Hunt
A worked solution, one bad step hiding in it — five hunts in a row, no clock.
🎯 Parametric Curve Basics
Plot a point from a parametrization, and know what trace vs. parametrization means — four in a row.
🎯 Eliminate the Parameter
Convert a parametrization into a single equation in x and y — four in a row.
🎯 Polar Coordinate Basics
What r and theta mean, negative r, and converting between polar and rectangular — five in a row.
🎯 Recognize the Polar Curve
Circles, roses, and cardioids — match the equation's shape to its family, four in a row.
🎯 Language of Math Concepts
Translating phrases to symbols, membership vs. subset, interval brackets, classifying real numbers, simplify/evaluate/solve, absolute value pitfalls, and logic notation — six in a row.
🎯 Fundamentals of Algebra Concepts
Ordering mixed reals, absolute value magnitude, field and equality properties, and scientific notation's coefficient rule — six in a row.
🎯 Rational Expression Concepts
Domain restrictions that survive cancelling, and building an LCD from the highest power of each distinct factor — four in a row.
🎯 Equations and Inequalities Concepts
Spotting linear form, no-solution vs. all-reals, absolute value's sandwich-vs-split, the discriminant's meaning, and inequality boundary rules — six in a row.
🎯 Function Fundamentals Concepts
Is it a function, reading increasing/decreasing from turning points, and classifying even/odd/neither — five in a row.
🎯 Polynomial and Rational Function Concepts
Linear vs. quadratic data, end behavior, the IVT's sign-change requirement, and vertical asymptote parity — five in a row.
🎯 Other Functions and Modeling Concepts
A radical function's domain strictness, power function end behavior, and choosing a model family from difference tables — four in a row.
🎯 Trigonometry Concepts
Quadrantal angles and where tan/sec/cot/csc go undefined — four in a row.
🎯 Graphs of Trig Functions Concepts
Which basic sinusoid starts at the midline moving which direction — three in a row.
🎯 Trig Identities Concepts
Even/odd classification and which restricted domain belongs to which inverse trig function — four in a row.
🎯 Analytic Geometry Concepts
Classifying a conic from its equation's coefficients — three in a row.
🧮 Partial Fractions Mastery
Decompose rational expressions into partial fractions — distinct linear, repeated linear, and irreducible quadratic factors.
🧮 Systems of Inequalities Concepts
Decide whether a point satisfies a system of linear inequalities.
🔢 Mathematical Induction Mastery
Identify the base case, verify summation formulas, and reason through inductive divisibility steps.
💰 Annuities Mastery
Compute the future value of an ordinary annuity.
🧮 Conjugate Reciprocal Mastery
Use the conjugate to find the real part of $1/z$ — four in a row.
🎯 Multiset Arrangements Mastery
Count arrangements of a multiset (repeated letters and all) correctly four times in a row.
🎯 Argument Quadrant Precision
A quadrant slip is the classic modulus/argument mistake — read a, b's signs correctly six times in a row.
🧠 Recall
Memorize it — no clock, no timer.
🧠 Unit Circle Recall
Every exact sine, cosine, and tangent, from memory — eight in a row, no clock.
🧠 Identity Recall
Pythagorean, reciprocal, quotient — state them cold, six in a row.
🧠 Rules of the Game
Product, quotient, power, change of base — the log rules, from memory.
🧠 Formula Vault
The quadratic formula and its neighbors — vertex, discriminant, completing the square.
🧠 Symbol Recall
∈, ⊂, ∪, ≤, ± — name every notation symbol on sight, eight in a row.
🔄 Degrees and Radians
$\pi/6$ or $30^\circ$ — same angle. Convert both directions, eight in a row.