aleks MATH
aleks MATH
ALEKS Functions, Radicals & Rational Expressions Practice Test
Practice with real ALEKS questions and step-by-step video lessons for function notation, composition, radicals, and rational expressions.
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How to Use StudyPug for ALEKS Functions, Radicals & Rational Expressions
A 4-step method built around ALEKS PPL Topic Area 6
1
Take a Diagnostic
See which function, radical, or rational subtopics need attention
2
Watch Video Lessons
Focused videos on functions, radicals, and rational algebra
3
Practice Problems
ALEKS-style questions with instant feedback
4
Take Mock Exam
Test-condition practice across all 8 topic areas
What's in ALEKS Functions, Radicals & Rational Expressions
Subtopics that appear in this topic area
Functions
- Function notation, domain, and range
- Evaluating, composing, and graphing functions
- Inverse functions and one-to-one functions
- Linear, quadratic, and piecewise functions
Radical Expressions & Equations
- Simplifying square and higher-order radicals
- Operations with radicals (add, subtract, multiply, divide)
- Rationalizing the denominator
- Solving radical equations and checking for extraneous roots
Rational Expressions & Equations
- Simplifying rational expressions
- Multiplying, dividing, adding, and subtracting rational expressions
- Solving rational equations and identifying excluded values
- Applications: work, distance, and mixture problems
ALEKS Functions, Radicals & Rational Expressions Study Guide
Start anywhere, or follow the topic-area-aligned order
Help
1. Function notation and evaluation
2. Domain and range
3. Types of functions
3. Composition and inverse functions
4. Simplifying radicals
5. Operations with radicals
6. Solving radical equations
7. Simplifying rational expressions
8. Multiplying and dividing
9. Adding and subtracting
10. Solving rational equations
11 Chapters · 37 Topics · 285 Videos
Everything You Need to Know About ALEKS Functions, Radicals & Rational Expressions
Format and scoring, so there are no surprises on test day.
Topic Area
6 of 8
Slice of the ALEKS PPL pie
Test Format
Adaptive
Questions adjust to your level
Full Placement Test
Up to 30
Open-response — multiple choice only as sub-parts
Cost
No cost
ALEKS practice with StudyPug
About the ALEKS Functions, Radicals & Rational Expressions topic area
Functions, Radicals & Rational Expressions is topic area 6 of the eight on the ALEKS Placement, Preparation and Learning (PPL) assessment — the adaptive math placement test used by colleges across the U.S. It measures how well you can work with functions, radical expressions and equations, and rational expressions and equations. Every question is open-response, so you solve rather than guess.
What does ALEKS Functions, Radicals & Rational Expressions cover?
On the ALEKS placement, Functions, Radicals & Rational Expressions questions draw on function notation, domain, and range, composing and graphing functions, inverse functions, simplifying and operating on radicals, rationalizing denominators, solving radical equations, simplifying rational expressions, and solving rational equations with excluded values. The test is adaptive: each answer shapes the next question, so you'll see problems matched to your current level.
Is ALEKS Functions, Radicals & Rational Expressions hard, and where do students struggle most?
Most students lose points on a few predictable Functions, Radicals & Rational Expressions skills — domain restrictions and excluded values, extraneous roots left behind after squaring both sides, and adding rational expressions with unlike denominators — ones that look familiar but haven't been practiced in years. Because ALEKS is open-response, partial knowledge that might survive a multiple-choice test gets exposed here.
How is the ALEKS placement scored?
ALEKS reports a score from 0–100, representing the percentage of math topics you have mastered. Each school sets its own cut scores for course placement, and most allow retakes after working in the ALEKS Prep and Learning module.
How StudyPug ALEKS prep works
Take a diagnostic, watch focused video lessons on your weak skills, practice with instant step-by-step feedback, then confirm with a full-length mock placement.
Functions, Radicals & Rational Expressions — FAQ
We've got answers to some popular questions.
Do I need a subscription to practice Functions, Radicals & Rational Expressions?
You can create an account and start working Functions, Radicals & Rational Expressions practice questions with step-by-step solutions right away. A StudyPug plan opens the certified-teacher video lessons, full diagnostics, mock exams and study plans across all eight of the ALEKS PPL study areas StudyPug organizes its prep into.
What does Functions, Radicals & Rational Expressions cover?
This area covers functions, radical expressions and equations, and rational expressions and equations — function notation, domain and range, evaluating, composing and graphing functions, inverse functions, simplifying and operating on radicals, rationalizing denominators, extraneous roots, and simplifying and solving rational expressions and equations. It is study area 6 of the eight StudyPug uses to organize ALEKS PPL prep, which runs from whole numbers through precalculus.
What ALEKS PPL score do I need?
ALEKS PPL is not pass or fail. Your score is the share of the placement topic universe you have mastered, reported as a percentage, and each college sets its own cutoff for each math course — the same score can place differently at two schools. Check your school's placement table or testing center for the cutoffs that apply to you.
Is ALEKS PPL the same as ACCUPLACER?
No — both place you into a first college math course, but they are different instruments. ALEKS PPL is adaptive and open-response: you type answers rather than pick them, it runs about 20-30 questions, and it reports a percentage of topics mastered. ACCUPLACER's math tests are multiple choice, 20 questions each, reported on a 200–300 scale. Your college decides which one you take.
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Last updated Aug 13, 2026
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