CCA / G / 01
Algebra foundations
Algebra 1 in depth.
Open the syllabusUnited States · Credit by exam · College Board CLEP
The CLEP College Algebra exam lets a student show, in one 90-minute sitting, that they already know the algebra of a one-semester college course. Homeschool families use it to turn a strong algebra year into transcript credit; adults use it to skip a requirement they learned at work or years ago. Whether it earns credit is your college's decision, not College Board's. This page sets out what College Board says is on the exam and how it is scored, how to check a college's policy, and how to prepare, with examples and practice we wrote.
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In short
CLEP College Algebra is a College Board credit-by-exam test covering a one-semester college algebra course: about 60 questions in 90 minutes, with a built-in TI-30XS scientific calculator. Scores run from 20 to 80, and the American Council on Education recommends 3 semester hours for a 50, though each college sets its own policy. Our College Math Placement Test Prep course includes it, taught live online in a group class or one to one.
Credit-level algebra
The placement and credit course covers the exam directly; the other two fill gaps below it or continue beyond it.

CCA / 01
CLEP College Algebra, ALEKS PPL, ACCUPLACER and TSIA2.
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CCA / 02
Algebra 2 and precalculus, the ground the exam stands on.
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CCA / 03
Calculus and beyond, once the credit is earned.
Open the syllabus →The exam
College Board says the exam contains approximately 60 questions to be answered in 90 minutes, and that some of them are pretest questions that do not count.
| Feature | What College Board says |
|---|---|
| Content level | Material usually taught in a one-semester college course in algebra |
| Length | Approximately 60 questions in 90 minutes, some unscored pretest questions |
| Problem mix | About 50% routine problems, about 50% nonroutine problems |
| Calculator | TI-30XS MultiView scientific (nongraphing), built into the exam software |
| Arithmetic | The test "places little emphasis on arithmetic calculations" |
| Scoring | One point per correct answer; nothing deducted for wrong or skipped answers |
| Score scale | A scaled score from 20 to 80 |
| ACE recommendation | Credit-granting score 50; 3 semester hours |
| Retest | Not the same exam title within three months |
Sources: CLEP College Algebra exam, Understand Scores and CLEP Exam Policies, read 31 October 2026. CLEP is a College Board trademark; we are not connected with College Board or CLEP.
College Board says "Nearly half the test is made up of routine problems requiring basic algebraic skills; the remainder involves solving nonroutine problems in which test takers must demonstrate their understanding of concepts."
Routine problems reward fluency: factoring, solving, simplifying. Nonroutine problems reward understanding: what a function's graph says about its inverse, or why an equation has no real solution.
That is about a minute and a half per question on average, our arithmetic. Routine items should take less, which banks time for the nonroutine ones.
Because wrong answers cost nothing, College Board's advice is to answer every question. A blank can only score zero.
Topics
Four topic areas with approximate weights. Functions are the largest single share, at about 30 percent.
| Topic area | Share | What it includes |
|---|---|---|
| Algebraic operations | 25% | Operations with exponents; factoring and expanding polynomials; operations with algebraic expressions; absolute value; properties of logarithms |
| Equations and inequalities | 25% | Linear, quadratic and absolute value equations and inequalities; systems of equations and inequalities; exponential and logarithmic equations |
| Functions and their properties | 30% | Definition, interpretation and representation; domain and range; evaluation; algebra of functions; graphs (intercepts, symmetry, transformations); inverse functions |
| Number systems and operations | 20% | Real numbers; complex numbers; factorials and binomial theorem |
College Board adds that each test may contain "a variety of functions, including linear, polynomial (degree ≤ 5), rational, absolute value, power, exponential, logarithmic, and piecewise defined." It also says test takers are expected to be familiar with "currently taught algebraic vocabulary, symbols, and notation", so the notation itself, f(x), f inverse, i for the square root of -1, has to be second nature.
The built-in TI-30XS MultiView is available "during the entire testing time", and College Board says students "are expected to know how and when to make appropriate use of the calculator."
It is nongraphing, so it will evaluate a logarithm or a power but will not draw the graph for you. Students used to graphing calculators should practise reading graphs from equations by hand.
Hold your own Algebra 2 notes up against the number systems list. Complex numbers, factorials and the binomial theorem are not part of every high school course, and inverse functions are easy to skim.
By College Board's weights, functions and number systems together make up about half the exam, which is why our plan gives them the most time.
Scores and credit
The American Council on Education recommends 50, but your college decides. Check its policy before you register.
College Board explains that the raw score, the number of questions answered correctly, "is then converted to a scaled score that ranges from 20 to 80, and this is the score that appears on your score report."
For this exam, the American Council on Education (ACE) recommends a credit-granting score of 50 and 3 semester hours, but College Board notes that "individual institutions can set their own CLEP credit policies."
For multiple-choice exams like College Algebra, College Board says "Scores are displayed on your test screen immediately following the CLEP test," and a test-taker copy is available in the My CLEP portal within 24 hours.
Colleges usually need an official score. College Board mentions two free score sends during registration, and says scores for exams taken on or after July 1, 2022 remain available for 10 years.
Worked examples
Our own examples, one from each topic area. They are not CLEP items and do not reproduce College Board's sample questions.
| Step | Reasoning |
|---|---|
| 1. Swap the roles | Write y = (2x + 3)/(x - 1), then solve for x in terms of y |
| 2. Clear the fraction | y(x - 1) = 2x + 3, so xy - y = 2x + 3 |
| 3. Gather x terms | xy - 2x = y + 3, so x(y - 2) = y + 3 |
| 4. Solve and rename | x = (y + 3)/(y - 2), so f inverse (x) = (x + 3)/(x - 2) |
| 5. Read the domains | f excludes x = 1 and never outputs 2; the inverse excludes x = 2 and never outputs 1 |
| Step | Reasoning |
|---|---|
| 1. Use the quotient rule | log_b M - log_b N = log_b (M/N) |
| 2. Simplify | log_2 (48/3) = log_2 16 |
| 3. Recognise the power | 16 = 2^4, so the value is 4 |
| Problem | Reasoning | Result |
|---|---|---|
| Binomial term | Choose x three times from five factors: C(5, 3) = 10 ways, and the other two factors give 2^2 = 4 | 10 x 4 x^3 = 40x^3 |
| Complex division, step 1 | Multiply top and bottom by the conjugate 1 + i | (3 + 2i)(1 + i) / ((1 - i)(1 + i)) |
| Complex division, step 2 | Top: 3 + 3i + 2i + 2i^2 = 1 + 5i; bottom: 1 - i^2 = 2 | 1/2 + 5/2 i |
from math import comb, log2
def f(x):
return (2 * x + 3) / (x - 1)
def f_inv(x):
return (x + 3) / (x - 2)
for x in [0, 3, -4, 10]:
assert abs(f_inv(f(x)) - x) < 1e-12
print(log2(48) - log2(3)) # 4.0
print(comb(5, 3) * 2 ** 2) # 40, the x^3 coefficient
print((3 + 2j) / (1 - 1j)) # (0.5+2.5j)Output: 4.0, then 40, then (0.5+2.5j). The loop checks that f inverse undoes f at four points. A student who can write this check understands what an inverse is, which is exactly what the nonroutine questions probe.
Practice and plan
Twelve problems we wrote across the four topic areas, with answers, then a plan for a homeschool student or adult studying alongside work.
| # | Topic area | Problem | Answer |
|---|---|---|---|
| 1 | Operations | Simplify (x^-2 y^3)^2 x^5 | x y^6 |
| 2 | Operations | Factor completely 3x^3 - 12x | 3x(x - 2)(x + 2) |
| 3 | Operations | Write 2 log x + log 5 as one logarithm | log (5x^2) |
| 4 | Equations | Solve |2x - 3| < 7 | -2 < x < 5 |
| 5 | Equations | Solve 3^(2x - 1) = 81 | x = 5/2 |
| 6 | Equations | Solve x + y = 7 and 2x - y = 2 | x = 3, y = 4 |
| 7 | Functions | Domain of g(x) = the square root of (6 - 2x) | x ≤ 3 |
| 8 | Functions | If f(x) = x^2 and g(x) = x + 3, find f(g(-1)) | 4 |
| 9 | Functions | Shift y = |x| right 2 and down 5 | y = |x - 2| - 5 |
| 10 | Number systems | Simplify i^7 | -i |
| 11 | Number systems | Evaluate 6! / (4! 2!) | 15 |
| 12 | Number systems | Is the square root of 50 rational? | No: 5 root 2 |
College Board's College Algebra study-resources page lists free outside materials, and says plainly that "none of these sources are designed specifically for CLEP exam preparation." We teach from the exam's published topic list, with our own problems, and use College Board's free sample questions as they are.
Is CLEP the right move?
Our description of who usually benefits, and what to check first.
| Situation | What to check first |
|---|---|
| 1. Homeschool student after Algebra 2 | Whether target colleges accept the credit |
| 2. High school senior who has finished precalculus | Whether the credit duplicates a dual enrollment course |
| 3. Adult returning to a degree | Whether the degree requires College Algebra or another math course |
| 4. Military learner | Advice from the education service officer, as College Board suggests |
Make the CLEP policy of two or three target colleges the first step, not the last.
A strong Algebra 2 and precalculus year is usually the right preparation; the exam then adds a focused review.
Six weeks of steady evening study is a realistic plan for most adults who once took Algebra 2.
Retesting the same title must wait three months, so book when you are ready.
The catalogue
Live classes for students earning credit early and for those continuing once they have it.
CCA / G / 01
Algebra 1 in depth.
Open the syllabusCCA / G / 02
Algebra 2 and precalculus.
Open the syllabusCCA / G / 03
Checking algebra in Python.
Open the syllabusCCA / E / 01
CLEP, ALEKS, ACCUPLACER.
Open the syllabusCCA / E / 02
Functions in depth.
Open the syllabusCCA / E / 03
For statistics requirements.
Open the syllabusCCA / C / 01
Calculus to linear algebra.
Open the syllabusCCA / C / 02
AB and BC.
Open the syllabusCCA / C / 03
Statistics and linear algebra.
Open the syllabusHow lessons run
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays.
Weekdays
Daytime for homeschoolers, evenings for adults.
Weekends
Longer mixed-practice sessions.
1-on-1
Planned to your test date and college policy.
Functions get the most time.
Fluency, then understanding.
The exam's own calculator type.
Daytime batches available.
Evening study for working learners.
Fifteen to twenty, or one to one.
Student work
Older students often put algebra to work in code. See student labs.

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Fees
Our classes have a monthly fee in US dollars and no fixed term. The CLEP exam itself is paid for separately, to College Board, and is not part of what we charge.
Free first class
USD 0
no card required
Group batch
USD 100
a month, billed in US dollars
One to one
USD 150
a month, billed in US dollars
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Questions learners ask
College Board says the exam contains approximately 60 questions to be answered in 90 minutes. Some are pretest questions that are not scored, and you cannot tell which ones they are.
CLEP has no single pass mark. Scores run from 20 to 80, and the American Council on Education recommends credit for a 50, but each college sets its own required score.
ACE recommends 3 semester hours for a score of 50. Your college may grant a different amount, or none, so check its CLEP policy.
Yes. A TI-30XS MultiView scientific calculator is built into the exam software for the whole test. It is nongraphing, and College Board expects you to know when to use it.
College Board lists algebraic operations (25%), equations and inequalities (25%), functions and their properties (30%) and number systems and operations (20%), including complex numbers and the binomial theorem.
It covers a full semester of college algebra, and about half the questions are nonroutine. Students who are fluent through Algebra 2 and review functions and complex numbers usually find it manageable.
No. College Board says points are not deducted for wrong or skipped answers, so answer every question.
Yes, but not within three months of the earlier attempt. College Board says a retake inside that period is invalid, the score is canceled and fees are forfeited.
Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays.
No. We are an independent online school. We teach the published topics with our own problems and point you to College Board's free sample questions.
Elsewhere on this site
More math help for credit seekers and homeschool families.
Planning the years before CLEP.
The course the exam builds on.
Functions and inverses in depth.
The next course after the credit.
For seniors earning early credit.
How tutoring is usually priced.
Part of the guide: US math placement and college readiness tests
More guides: US state math tests by state · US gifted and selective school tests · Homeschool and school math curricula guide · US math and coding competitions guide
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Tell us which college's policy you are working to and when you hope to test. The teacher will check your functions and number-system skills first, since they are half the exam.
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