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ACCUPLACER AAF Test: Advanced Algebra and Functions for STEM Placement
AAF is the ACCUPLACER test that places students into college algebra, precalculus, and calculus. See its eleven skill areas, what each score band expects, worked original examples, and what to review first.
Short answer
Advanced Algebra and Functions (AAF) is the highest ACCUPLACER math test, meant for students entering STEM fields and for non-STEM fields that need advanced math, such as medicine, economics, and accounting. It has 20 stand-alone multiple-choice questions in its standard adaptive form, scored from 200 to 300, across eleven skill areas: linear equations and graphs, factoring, quadratics, functions, radical and rational equations, polynomials, exponential and logarithmic equations, geometry, and trigonometry. Colleges use it to place students into their higher-level math courses, and each college sets its own cutoffs.
Who takes AAF
College Board aims AAF at students headed into STEM fields of study, and at students in non-STEM fields that require some advanced math; its examples are medicine, economics, and accounting. You may be assigned AAF directly because of your major, or reach it by branching up from a strong Quantitative Reasoning, Algebra, and Statistics (QAS) score, depending on how your college sets up the test. The math-test guide explains the routing.
At the top end, AAF scores separate one advanced course from the next. Mohawk Valley Community College's chart, updated in September 2026, places AAF scores of 263 to 275 into MA150 and 276 and above into MA151, for example. Your college's cutoffs will differ, so find them before you set a target.
The eleven skill areas
| Skill area | What College Board includes |
|---|---|
| Linear equations | Writing and solving equations and inequalities; systems of two equations |
| Linear applications and graphs | Linear models, graphs of lines and inequalities, parallel and perpendicular lines, systems |
| Factoring | Quadratics, cubics, and other polynomials |
| Quadratics | Writing and solving quadratic equations by factoring or the quadratic formula; systems with a quadratic |
| Functions | Function notation, evaluating linear and quadratic functions, graphs, functions in context |
| Radical and rational equations | Writing, solving, and graphing; domain and range; simplifying expressions |
| Polynomial equations | Writing, solving, and graphing polynomial equations and functions |
| Exponential and logarithmic equations | Writing, solving, graphing, and interpreting them |
| Geometry concepts for Algebra 1 | Area, perimeter, volume, distance formula, Pythagorean theorem, transformations |
| Geometry concepts for Algebra 2 | Volume of non-prisms, intersecting lines, similar and congruent triangles, circle equations |
| Trigonometry | Right-triangle and special-triangle trig, equivalent trig functions, graphs, radians and arc length, Law of Sines and Law of Cosines |
That is a wide syllabus for 20 questions, so the adaptive engine samples it. You won't see every area, but you can't predict which ones, so a single blind spot such as logarithms can cost several points if the engine lands there. To check coverage early, work AAF problems across functions, exponentials, and trig with full solutions.
What each score band expects
| Band | Skills students typically add |
|---|---|
| 200–220 | Write a linear equation from a table; find angles with intersecting lines and triangles; solve simple square-root equations |
| 221–230 | Factor quadratics and simple polynomials; linear models from real situations; triangle perimeter and area; slopes of parallel lines |
| 231–240 | Systems of linear equations with integer coefficients; one variable from a relationship; rectangle area problems |
| 241–250 | Simplify rational expressions; square a binomial; slope and equation from a graph or table |
| 251–260 | Parallel and perpendicular lines from equations; simple exponential functions in function notation; add rational expressions with different denominators; connect quadratic graphs and equations |
| 261–270 | Combine and evaluate functions in function notation; domain, range, maximum, and minimum; trig ratios in a right triangle; compare linear and exponential behavior |
| 271–300 | Absolute value functions across graphs, tables, and equations; transformations in function notation; trig in the unit circle; inverse functions; evaluate logarithms |
The jump from the 250s to the 260s is where function notation and trigonometry arrive. If your target is in the mid-260s or higher, those two areas are not optional.
Worked examples (original, not from the test)
1. Factoring to solve (221–230). Solve x² − 5x − 14 = 0.
Find two numbers that multiply to −14 and add to −5: −7 and 2. So (x − 7)(x + 2) = 0, and x = 7 or x = −2.
2. Squaring a binomial (241–250). Expand (2x − 3)².
(2x − 3)(2x − 3) = 4x² − 12x + 9. The trap answer is 4x² + 9, which forgets the middle term.
3. Adding rational expressions (251–260). Simplify 3/x + 2/(x + 1).
Common denominator x(x + 1): [3(x + 1) + 2x] / [x(x + 1)] = (5x + 3) / (x² + x).
4. Combining functions (261–270). If f(x) = 2x + 1 and g(x) = x², what is f(g(3))?
Work from the inside: g(3) = 9, then f(9) = 19. Evaluating f first gives g(f(3)) = 49, a different composition.
5. Right-triangle trig (261–270). In a right triangle, the side opposite angle A is 5 and the hypotenuse is 13. What is cos A?
The adjacent side is √(13² − 5²) = 12, so cos A = 12/13.
6. Logarithms (271–300). Evaluate log₂ 32.
Ask "2 to what power is 32?" 2⁵ = 32, so the answer is 5.
Where AAF points usually slip
- Dropped middle terms when squaring binomials.
- Domain restrictions on rational and radical expressions: x can't make a denominator zero or an even root negative.
- Composition order: f(g(x)) means apply g first.
- Exponential vs linear: a constant percent change is exponential; a constant amount of change is linear.
- Calculator dependence: some questions offer an on-screen TI-84, but not all, and you can't bring your own.
How to prepare for AAF
Rebuild algebra fluency first, because every AAF area depends on it: factoring, rational expressions, and solving equations by hand. Then move to functions and graphs, then exponentials and logs, and finish with trigonometry and the Algebra 2 geometry ideas. Practice with a TI-84-style graphing calculator only where it helps, such as checking an intersection, and use the Student Portal's calculator practice to get used to the on-screen version.
If you haven't taken algebra recently, prepare for QAS as well: it covers the skills AAF builds on, and some colleges read your QAS score when AAF is low. Mohawk Valley's chart, for example, tells advisors to check the QAS score when AAF is below 237. When practice shows one area dragging, such as logarithms or trig ratios, focus your next AAF sessions on the skill area that keeps missing, then return to mixed sets.
Trust the source
Official sources
Exam policies can change. Use these primary sources for the most current details.