CLEP College Algebra study guide
Aligned to College Board CLEP College Algebra exam information, public content percentages, calculator guidance, and study resources reviewed June 2026
601 practice questions
80 flashcards
Completely free

CLEP College Algebra Exam Prep

Practice algebraic operations, equations, inequalities, systems, functions, graphs, transformations, inverse functions, exponential and logarithmic models, real and complex numbers, factorials, binomial theorem, calculator decisions, routine and nonroutine algebra with 601 original questions.

601 original questions
Official-outline mapped
60-question mocks

Most popular

Start with free practice questions

Jump into a mixed set drawn from 601 free practice questions.

Free Practice Questions

Exam structure

Know the split before you start drilling

Algebraic Operations

25%

25 scored + 0 pretest

Equations and Inequalities

25%

25 scored + 0 pretest

Functions and Their Properties

30%

30 scored + 0 pretest

Number Systems and Operations

20%

20 scored + 0 pretest

Exam length

90 minutes

College Board describes CLEP College Algebra as approximately 60 questions in 90 minutes.

Calculator

TI-30XS MultiView

The exam provides an online scientific, nongraphing calculator for sections where it is available.

Problem style

50% routine / 50% nonroutine

College Board says roughly half the test involves routine straightforward problems and half tests concepts or applications.

Largest content area

Functions 30%

College Board lists functions and their properties as about 30% of the exam, with algebraic operations, equations and inequalities, and number systems making up the remainder.

ACE recommendation

50 score / 3 credits

College Board lists an ACE recommended credit-granting score of 50 and a semester-hour recommendation of 3.

Bank size

601

This prep page includes 601 original CLEP College Algebra practice questions.

Start your CLEP College Algebra plan

How to study for CLEP College Algebra

Use this sequence to cover the highest-return CLEP College Algebra skills first.

1

1. Master function structure

Start with function notation, domain, range, graphs, transformations, inverse functions, and modeling.

2

2. Strengthen equation solving

Practice linear, quadratic, rational, radical, absolute value, exponential, and logarithmic equations with solution checks.

3

3. Run 60-question mocks

Use weighted mocks to practice pacing, calculator decisions, routine problems, and nonroutine applications.

About the exam

CLEP College Algebra Exam structure

CLEP College Algebra prep with 601 original practice questions aligned to College Board's public 2026 exam description, algebraic operations, equations and inequalities, functions and their properties, number systems and operations, calculator strategy, routine and nonroutine problems, flashcards, and weighted mocks.

Issuer and path

CLEP College Algebra Exam Prep is administered through College Board. Check official resources before booking, retesting, or relying on a stale requirement.

Algebraic Operations

25%

25 scored + 0 pretest

Operations with exponents and radicals, polynomials, rational expressions, factoring, simplifying, logarithm properties, and algebraic manipulation.

Equations and Inequalities

25%

25 scored + 0 pretest

Linear, quadratic, rational, radical, absolute value, exponential, logarithmic, and system solving, including solution sets and extraneous answers.

Functions and Their Properties

30%

30 scored + 0 pretest

Function notation, domain, range, evaluation, graphs, transformations, inverse functions, composition, modeling, and nonroutine function reasoning.

Number Systems and Operations

20%

20 scored + 0 pretest

Real and complex numbers, properties of operations, absolute value, factorials, binomial theorem, sequences, and number-based algebraic reasoning.

Before scheduling CLEP College Algebra

Check your college's CLEP credit policy, confirm whether you will test at a center or by remote proctoring, practice with the TI-30XS MultiView calculator, and plan for a 90-minute exam with approximately 60 questions.

Official Outline Coverage Map

Coverage is mapped to official outline item counts so content depth can be checked without hard-coding a single exam.

Official outline
TopicOfficial outline itemsYour questionsYour flashcardsConfidence
Exponents, Radicals, and Algebraic Simplification9508
Priority
Polynomials, Factoring, and Rational Expressions8508
Priority
Logarithm Properties and Algebraic Expression Structure8508
Priority
Linear Equations, Inequalities, and Systems9508
Priority
Quadratic, Rational, Radical, and Absolute Value Equations8508
Priority
Exponential and Logarithmic Equations8508
Priority
Function Notation, Domain, Range, and Evaluation10618
Priority
Graphs, Transformations, Inverse Functions, and Behavior10608
Priority
Function Modeling and Nonroutine Algebra Problems10608
Priority
Real Numbers, Complex Numbers, Factorials, and Binomial Theorem201208
Priority

How to use this guide

How to study for CLEP College Algebra

Build each answer from algebraic structure: identify the expression, equation, function, domain, graph feature, or number system property before calculating or selecting a shortcut.

1. Operate

Simplify expressions, apply exponent and logarithm properties, factor, and manage restrictions.

2. Solve

Solve equations, inequalities, and systems while checking domains and solution sets.

3. Analyze functions

Evaluate functions, interpret graphs, use transformations, find inverses, and build models.

4. Check number systems

Use real and complex number properties, factorials, binomial expansion, and reasonableness checks.

Exponents, Radicals, and Algebraic Simplification
Operations

Exponents, Radicals, and Algebraic Simplification

This topic tests exponent laws, rational exponents, radical simplification, fractional exponents, order of operations, and valid algebraic simplification.

Key rules

Rule 1

Exponents, Radicals, and Algebraic Simplification questions reward the answer that follows the official source, the professional role, and the stated facts.

Exam cue: Identify the candidate role, client or public risk, source rule, calculation, or process step being tested.

Rule 2

The strongest answer identifies the rule, safety concern, ethical duty, calculation, client factor, or process step before acting.

Exam cue: Check whether the fact pattern is using a national standard, jurisdiction rule, handbook policy, or scenario-specific instruction.

Rule 3

Eliminate answers that ignore requirements, skip documentation, overreach the role, or treat convenience as the standard.

Exam cue: Choose the compliant and professionally scoped answer before the convenient or familiar answer.

Common traps

Treating related standards as interchangeable without checking the source.

Prevention: Avoid answers that rely only on habit, ignore the stated source, skip safety or compliance steps, or choose convenience over the professional standard.

Skipping screening, documentation, authorization, sanitation, recordkeeping, or other required procedure.

Prevention: Avoid answers that rely only on habit, ignore the stated source, skip safety or compliance steps, or choose convenience over the professional standard.

Choosing an answer that protects convenience instead of client safety, public protection, or the stated professional duty.

Prevention: Avoid answers that rely only on habit, ignore the stated source, skip safety or compliance steps, or choose convenience over the professional standard.

Memory anchors

Exponent Law

Exponent laws combine powers only when bases and operations make the rule valid.

Rational Exponent

A rational exponent represents a root, a power, or both depending on numerator and denominator.

Radical Simplification

Radical simplification removes perfect powers while preserving the value and domain.

Negative Exponent

A negative exponent indicates a reciprocal, not a negative number.

Zero Exponent

A nonzero base raised to the zero power equals 1.

Order of Operations

Order of operations protects structure before combining terms or applying powers.

Like Terms

Like terms have matching variable factors and exponents before coefficients can be combined.

Domain Restriction

A domain restriction excludes values that make denominators zero or even roots invalid in real numbers.

Next best moves

Quick check-up

Use a short quiz to confirm the rule pattern is actually sticking.

Check-up Questions

1-2 question checkpoint

Using the product rule for exponents, simplify the expression x^5 · x^3 to a single power of x.

Using the quotient rule for exponents, simplify x^9 / x^4 to a single power of x (assume x ≠ 0).

Answer all questions to submit.

Next step personalized recommendations

Open another topic next

Official resources

Verify the details with the official sources

Use these links for eligibility, scheduling, handbook rules, and issuer updates. Our guide helps you study; official sources tell you what the testing partner currently requires.

FAQ

Common CLEP College Algebra questions

Is this official College Board CLEP College Algebra content?

No. These are original practice questions aligned to College Board's public CLEP College Algebra exam description and topic percentages. They are not copied from secure CLEP test forms.

How many questions are on CLEP College Algebra?

College Board describes the exam as approximately 60 questions in 90 minutes, with some pretest questions that are not scored.

What calculator is available?

College Board lists an online scientific, nongraphing TI-30XS MultiView calculator for this exam.

What is the biggest content area?

Functions and their properties are the largest public category at about 30% of the exam.

What should I practice first?

Start with functions, equations, and algebraic operations because they drive many routine and nonroutine items.

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