This ALEKS cheat sheet distills the ALEKS PPL math placement assessment into a printable rundown of the formulas and moves the adaptive engine probes most. It's a premium cheat sheet built by Capital Prep — the one premium prep we trust — and it's yours free. Reinforce it with the rest of your free ALEKS toolkit: the practice test, study guide, and flashcards.
ALEKS exam at a glance
- Score: 0-100 placement score (percentage of topics mastered) — no pass/fail
- Format: Adaptive and open-response — you build answers, not multiple choice
- Questions: About 25-30 per assessment, drawn from ~314 topics
- Time: Untimed; most students finish in 60-90 minutes
- Placement: Each college sets its own course cut scores for your 0-100 result
- Retakes: Typically up to 5 attempts; Prep & Learning Module hours required between
- Published by: ALEKS Corporation (McGraw Hill)
What’s on the ALEKS cheat sheet
- Real Numbers — order of operations (PEMDAS), signed-number rules, fraction and percent moves, ratios, and proportions.
- Equations & Inequalities — linear equations, the inequality sign-flip rule, systems, and the quadratic formula plus discriminant.
- Linear & Quadratic Functions — slope, y-intercept, y = mx + b, and the parabola vertex x = −b/(2a).
- Exponents, Polynomials, Rational & Radical — exponent laws, FOIL, factoring patterns, restricted values, and x^(1/n) = the nth root.
- Exponentials & Logarithms — the definition log base b of x = y ⇔ bʸ = x, plus the product, quotient, and power rules.
- Geometry & Trigonometry — area, volume, the distance and midpoint formulas, the Pythagorean theorem, and SOH-CAH-TOA.
How to use it in your final week
- Memorize the non-negotiable formulas first — quadratic formula, slope = (y₂ − y₁)/(x₂ − x₁), vertex x = −b/(2a), and the three log rules — since ALEKS is open-response and won't hand you answer choices.
- Star your weakest topic area from a full practice run, then read only that block of the sheet before drilling it — targeted beats exhaustive when you're placing, not passing.
- Do a final pass on the memory hooks the morning of the test: PEMDAS, difference of squares a² − b² = (a + b)(a − b), x^(1/n) = the nth root of x, and SOH-CAH-TOA.
- Pair each review pass with a short set of practice questions so you're producing answers, not just recognizing formulas — that's how the real ALEKS asks them.
The cheat sheet is your review layer — your ALEKS practice test drives the exam-readiness ring at the top of this page. Download it, review, then take a full practice exam (or drill with the study guide and flashcards) to see where you stand.
ALEKS cheat sheet FAQ
Yes — the ALEKS cheat sheet downloads as a PDF at no cost and with no sign-up. It sits alongside Career Employer's free ALEKS toolkit: the practice test, study guide, and flashcards, so you can review the formulas here and drill them there.
It condenses the highest-yield facts from all eight ALEKS PPL topic areas onto a quick reference — order-of-operations and percent moves, the quadratic formula, slope and vertex formulas, exponent and log rules, radical simplification, and the geometry and SOH-CAH-TOA formulas you'll build answers with.
There is no passing score to show — ALEKS PPL is a placement assessment, not a pass/fail test. It reports a single 0-100 score equal to the percentage of topics you've mastered, and each college sets its own cut scores. The sheet focuses on the formulas that raise that score rather than a threshold.
It's a review layer, not a substitute for solving problems. Because ALEKS is open-response, you have to produce exact answers, so use the sheet to lock in the formulas, then grind the practice test and the official Prep and Learning Module to actually lift your placement.
Click the download button or the preview card at the top of this page to open the PDF right away. Bookmark this page so you can pull the sheet up again the morning of your ALEKS attempt.
References
- 1.McGraw Hill. “ALEKS PPL: Placement, Preparation and Learning.” mheducation.com, 2026. ↑
- 2.ALEKS Corporation (McGraw Hill). “Higher Education Math Placement — Placement Problem Types.” aleks.com, 2026. ↑
- 3.University of Oregon Testing Center. “What topics are covered during the ALEKS PPL Assessment?.” uoregon.edu, 2026. ↑

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