ALEKSMath
Curriculum Directory

ALEKS Math Topic Guides

The ALEKS PPL assessment spans 6 comprehensive subject domains. Select a topic guide to review essential formulas, worked examples, and interactive micro-quizzes.

Domain 1 • Arithmetic & Real Numbers

Pre-Algebra

Cutoff: 0–29%

Order of operations (PEMDAS), fractions, decimals, negative numbers, ratios, proportions, percentages, and Cartesian coordinate plotting.

PEMDAS & OperationsFraction ArithmeticPercentages & RatiosCartesian Plane
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Domain 2 • Linear Equations & Inequalities

Algebra 1

Cutoff: 30–45%

Multi-step linear equations, slope & intercept, graphing lines, systems of 2 linear equations, factoring polynomials, and exponent rules.

Linear EquationsSlope & GraphingSystems of EquationsFactoring Polynomials
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Domain 3 • 2D & 3D Shapes & Coordinates

Geometry

Essential for STEM

Perimeter, area, volume, Pythagorean theorem, right triangles, circle geometry, angle relationships, and distance/midpoint formulas.

Pythagorean TheoremCircles & π3D Solid VolumesCoordinate Geometry
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Domain 4 • Quadratics & Non-Linear Functions

Algebra 2

Cutoff: 46–60%

Quadratic formula, complex numbers, radical expressions, rational functions, exponential growth, and logarithmic transformations.

Quadratic FormulaRadicals & RootsLogarithmsComplex Numbers
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Domain 5 • Advanced Polynomials & Analysis

College Algebra

Cutoff: 61–75%

Polynomial division, rational zero theorem, composite functions f(g(x)), function inverses, transformations, and vertical/horizontal asymptotes.

Composite FunctionsRational ZeroesInverse FunctionsAsymptotes
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Domain 6 • Trigonometry & Analytical Geometry

Pre-Calculus

Cutoff: 76–100%

Unit circle angles, radians & degrees, trigonometric identities (sin, cos, tan), inverse trig functions, conic sections, and 2D vectors.

Unit Circle ValuesTrig IdentitiesRadians to DegreesVector Magnitudes
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Want to test all 6 topics at once?

Our full-length diagnostic simulator draws 25 realistic adaptive questions across all these domains to evaluate your complete knowledge space.