• 120 questions

CLEP College Algebra Practice Test

Unofficial practice questions on the four areas of the College Board's College Algebra outline.

For which value of x is |2x − 6| equal to 0?

Pick an answer, then press Check answer. Then you see Correct or Not quite, with the reason. Keys: A to D pick, Enter checks.

Print covers the next 60 questions. Share this set copies a link to the same questions in the same order.

Exam mode: 60 questions, 90 minutes.

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Unofficial practice questions, not affiliated with the College Board. Bank checked October 6, 2026.

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All 120 questions

Algebraic operations 30

  • Add 1/x + 1/(x + 1), where x ≠ 0 and x ≠ −1. College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), operations with algebraic expressions
  • Expand (2x − 3)². College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), factoring and expanding polynomials
  • Expand (x + 3)(x − 5). College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), factoring and expanding polynomials
  • Factor 2x² + 5x − 3 completely. College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), factoring and expanding polynomials
  • Factor 3x³ − 12x completely. College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), factoring and expanding polynomials
  • Factor 9x² − 25 completely. College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), factoring and expanding polynomials
  • Factor x² − 7x + 12 completely. College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), factoring and expanding polynomials
  • Factor x³ − 8 completely. College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), factoring and expanding polynomials
  • For which value of x is |2x − 6| equal to 0? College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), absolute value
Show all 120 questions (111 more)

Algebraic operations, continued

  • If x < 0, which expression equals |x|? College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), absolute value
  • Rationalize the denominator of 6/√3. College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), operations with algebraic expressions
  • Simplify (2x³)(5x⁴). College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), operations with exponents
  • Simplify (3x²y)³. College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), operations with exponents
  • Simplify (5x² − 3x + 2) − (2x² + x − 6). College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), operations with algebraic expressions
  • Simplify (16x⁴)^(1/2), where x > 0. College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), operations with exponents
  • Simplify (x² − 4)/(x² − 2x), where x ≠ 0 and x ≠ 2. College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), operations with algebraic expressions
  • Simplify (x² − 9)/(x − 3), where x ≠ 3. College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), operations with algebraic expressions
  • Simplify (x²y⁻¹)² / (x⁻¹y³), where x ≠ 0 and y ≠ 0. College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), operations with exponents
  • Simplify 12x⁸ / (4x²), where x ≠ 0. College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), operations with exponents
  • Simplify √50 + √18. College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), operations with algebraic expressions
  • What is the coefficient of x² in the expansion of (x + 2)(x² − 3x + 4)? College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), factoring and expanding polynomials
  • What is the value of 27^(2/3)? College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), operations with exponents
  • What is the value of log₂(32)? College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), properties of logarithms
  • What is the value of log₃(1/9)? College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), properties of logarithms
  • What is the value of log₆(4) + log₆(9)? College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), properties of logarithms
  • What is the value of |3 − 8| − |−4|? College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), absolute value
  • Which expression equals ln(x⁵) − ln(x²), where x > 0? College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), properties of logarithms
  • Which expression equals log(x²y), where x > 0 and y > 0? College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), properties of logarithms
  • Which expression equals log₅(7)? College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), properties of logarithms
  • Which expression equals x⁻³ for x ≠ 0? College Board, CLEP College Algebra outline: Algebraic operations (25% of the exam), operations with exponents

Equations and inequalities 30

  • A line has slope −2 and passes through (3, 1). What is its equation? College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), linear equations and inequalities
  • Completing the square rewrites x² + 6x − 7 = 0 as (x + 3)² = k. What is k? College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), quadratic equations and inequalities
  • The graphs of y = x² and y = x + 6 meet at two points. What are their x-coordinates? College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), systems of equations and inequalities
  • How many real solutions does x² + 6x + 9 = 0 have? College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), quadratic equations and inequalities
  • How many solutions does the system 2x − 4y = 6 and x − 2y = 5 have? College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), systems of equations and inequalities
  • In the system 3x + 2y = 12 and y = x + 1, what is x? College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), systems of equations and inequalities
  • Solve 2(x − 3) = 5x + 9. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), linear equations and inequalities
  • Solve 2^(x + 1) = 32. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), exponential and logarithmic equations
  • Solve 2x² + 3x − 2 = 0. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), quadratic equations and inequalities
  • Solve 3x − 7 = 11. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), linear equations and inequalities
  • Solve 5 − 2x ≤ 11. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), linear equations and inequalities
  • Solve 9^x = 27. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), exponential and logarithmic equations
  • Solve e^(2x) = 7. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), exponential and logarithmic equations
  • Solve log₂(x) + log₂(x − 2) = 3. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), exponential and logarithmic equations
  • Solve log₃(x − 1) = 2. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), exponential and logarithmic equations
  • Solve the system 2x + y = 7 and x − y = 2. What is (x, y)? College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), systems of equations and inequalities
  • Solve x/3 + 2 = x/2. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), linear equations and inequalities
  • Solve x² − 4x + 1 = 0. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), quadratic equations and inequalities
  • Solve x² − 5x − 14 = 0. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), quadratic equations and inequalities
  • Solve x² − x − 6 < 0. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), quadratic equations and inequalities
  • Solve x² ≥ 16. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), quadratic equations and inequalities
  • Solve |2x + 1| < 7. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), absolute value equations and inequalities
  • Solve |2x − 5| = 3x. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), absolute value equations and inequalities
  • Solve |x + 2| ≥ 4. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), absolute value equations and inequalities
  • Solve |x − 3| = 5. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), absolute value equations and inequalities
  • Solve |x − 4| + 6 = 2. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), absolute value equations and inequalities
  • Solve −4 < 3x + 2 ≤ 11. Give the answer in interval notation. College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), linear equations and inequalities
  • What is the discriminant of 3x² − 2x + 5 = 0? College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), quadratic equations and inequalities
  • What is the slope of the line through (1, 2) and (4, 11)? College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), linear equations and inequalities
  • Which point satisfies both y > 2x − 1 and y ≤ −x + 4? College Board, CLEP College Algebra outline: Equations and inequalities (25% of the exam), systems of equations and inequalities

Functions and their properties 36

  • A function is defined by f(x) = 3x + 1 when x < 2 and f(x) = x² when x ≥ 2. What is f(2) + f(−1)? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), evaluation of functions
  • A linear function has f(0) = 3, f(2) = 11 and f(4) = 19. What is f(10)? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), definition, interpretation, and representation/modeling
  • A plumber charges a $45 call fee plus $60 an hour. Which function gives the cost, in dollars, of a job that takes h hours? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), definition, interpretation, and representation/modeling
  • A population starts at 500 and doubles every 6 years. Which function gives the population after t years? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), definition, interpretation, and representation/modeling
  • The graph of which function is symmetric about the origin? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), graphs and their properties (intercepts, symmetry, and transformations)
  • The graph of which function is symmetric about the y-axis? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), graphs and their properties (intercepts, symmetry, and transformations)
  • The graph of y = x² is shifted 3 units right and 2 units down. What is the new equation? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), graphs and their properties (intercepts, symmetry, and transformations)
  • The graph of y = √x is reflected across the x-axis. What is the new equation? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), graphs and their properties (intercepts, symmetry, and transformations)
  • The height of a ball in feet, t seconds after it is thrown, is h(t) = −16t² + 80t + 4. What is its greatest height? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), definition, interpretation, and representation/modeling
  • If f(x) = 2x + 1 and g(x) = x², what is f(g(x))? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), algebra of functions
  • If f(x) = 2x + 5, what is f⁻¹(11)? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), inverse functions
  • If f(x) = 2x² − 3x + 1, what is f(−2)? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), evaluation of functions
  • If f(x) = 3 · 2^x, what is f(−2)? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), evaluation of functions
  • If f(x) = 3x − 2 and g(x) = x² + 5, what is (f + g)(x)? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), algebra of functions
  • If f(x) = 5x − 8, for which value of x is f(x) = 12? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), evaluation of functions
  • If f(x) = x + 1 and g(x) = x − 2, what is the domain of (f/g)(x)? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), algebra of functions
  • If f(x) = x + 4 and g(x) = x − 4, what is (f · g)(x)? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), algebra of functions
  • If f(x) = x − 3 and g(x) = x² + 2, what is g(f(x))? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), algebra of functions
  • If f(x) = x² + 1, what is the average rate of change of f from x = 2 to x = 5? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), evaluation of functions
  • If f(x) = x² − 4, which expression equals f(a + 1)? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), evaluation of functions
  • If f(x) = √(x + 1) and g(x) = x³, what is f(g(2))? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), algebra of functions
  • The point (2, 7) is on the graph of a one-to-one function f. Which point must be on the graph of f⁻¹? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), inverse functions
  • The value of a machine in dollars after t years is V(t) = 15,000 − 1,200t. By how many dollars does the value fall each year? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), definition, interpretation, and representation/modeling
  • What are the x-intercepts of the graph of y = x² − 2x − 8? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), graphs and their properties (intercepts, symmetry, and transformations)
  • What is the domain of f(x) = (x + 1)/(x² − 9)? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), domain and range
  • What is the domain of f(x) = ln(5 − x)? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), domain and range
  • What is the domain of f(x) = √(x − 4)? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), domain and range
  • What is the inverse of f(x) = 3x − 6? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), inverse functions
  • What is the inverse of f(x) = e^(x − 2)? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), inverse functions
  • What is the inverse of f(x) = x³ + 1? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), inverse functions
  • What is the range of f(x) = 2^x − 1? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), domain and range
  • What is the range of f(x) = x² − 6x + 5? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), domain and range
  • What is the range of f(x) = |x − 2| + 3? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), domain and range
  • What is the vertex of the graph of y = x² − 8x + 10? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), graphs and their properties (intercepts, symmetry, and transformations)
  • What is the y-intercept of the graph of y = 2x² − 3x − 5? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), graphs and their properties (intercepts, symmetry, and transformations)
  • Which of these relations is NOT a function? College Board, CLEP College Algebra outline: Functions and their properties (30% of the exam), definition, interpretation, and representation/modeling

Number systems and operations 24

  • Expand (x − 2)³. College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), factorials and binomial theorem
  • How many terms are in the expansion of (a + b)⁷? College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), factorials and binomial theorem
  • Simplify (1 + i)². College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), complex numbers
  • Simplify (2 + 3i)(1 − 4i). College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), complex numbers
  • Simplify (3 + 2i) + (5 − 6i). College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), complex numbers
  • Simplify (3 + i)/(1 − i). College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), complex numbers
  • Simplify (n + 1)!/(n − 1)!, where n is a positive integer. College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), factorials and binomial theorem
  • Simplify √(−49). College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), complex numbers
  • Simplify √72. College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), real numbers
  • Solve x² + 4x + 13 = 0 over the complex numbers. College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), complex numbers
  • What is the absolute value (modulus) of 3 − 4i? College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), complex numbers
  • What is the coefficient of x² in the expansion of (x + 3)⁴? College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), factorials and binomial theorem
  • What is the complex conjugate of 4 − 7i? College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), complex numbers
  • What is the distance between −7 and 5 on the number line? College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), real numbers
  • What is the third term in the expansion of (2x + 1)⁵, written in descending powers of x? College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), factorials and binomial theorem
  • What is the value of 6!/4!? College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), factorials and binomial theorem
  • What is the value of i²⁷? College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), complex numbers
  • What is the value of the binomial coefficient C(8, 3)? College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), factorials and binomial theorem
  • Which fraction equals the repeating decimal 0.363636…? College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), real numbers
  • Which inequality describes the interval [−2, 5)? College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), real numbers
  • Which of these is NOT a real number? College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), real numbers
  • Which of these numbers is irrational? College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), real numbers
  • Which of these numbers is rational? College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), real numbers
  • Which of these numbers is the greatest? College Board, CLEP College Algebra outline: Number systems and operations (20% of the exam), real numbers

How this list was compiled: Our own questions, written to the College Board's published outline of the CLEP College Algebra exam (https://clep.collegeboard.org/clep-exams/college-algebra, read 2026-10-06): algebraic operations 25%, equations and inequalities 25%, functions and their properties 30%, number systems and operations 20%. The bank holds 30, 30, 36 and 24 questions, the same shares. Every answer is algebra or arithmetic on what the question itself prints, and each was worked out a second time on 2026-10-06. Licence: Questions, choices and explanations are original work of this site.

How it works

This free CLEP College Algebra practice test has 120 questions of our own, weighted like the College Board's outline, each with its working. It is unofficial and is not affiliated with, endorsed by or sponsored by the College Board.

Read the full guide

What the exam covers

The College Board's outline, read October 6, 2026, has four areas: algebraic operations (25%), equations and inequalities (25%), functions and their properties (30%), and number systems and operations (20%). This bank holds 30, 30, 36 and 24 questions, the same shares.

Timing

The real exam has about 60 questions to answer in 90 minutes, and some are pretest questions that are not scored. Exam mode uses the same 60 and 90.

How the math is written

Integer powers are written x² or x⁻³. Other exponents use a caret, as in 2^x or x^(1/2). √ is a square root, log₂ is a logarithm in base 2, and i is the imaginary unit.

  • A CLEP exam takes no points off for a wrong answer, so answer every question.
  • About half the exam is routine problems and half asks you to apply a concept, the College Board says.

Questions and answers

Is this algebra CLEP practice test the real exam?

No. Every question is our own, written to the College Board's published outline. None is copied or reworded from a real exam or an official sample question, and a score here does not predict a score there.

Is there a college algebra CLEP practice test PDF?

Yes. Print the question sheet makes a paper test of these questions, with an answer key if you tick it. Choose Save as PDF in the print window to keep it as a CLEP algebra practice test PDF.

What score do you need on the CLEP College Algebra exam?

There is no single pass mark. Scores run from 20 to 80. The American Council on Education recommends that colleges grant 3 semester hours for a score of 50, and each college sets its own policy.

Can you use a calculator on the CLEP College Algebra exam?

Yes. The College Board says a scientific, nongraphing calculator is built into the exam software for the whole test. The exam puts little weight on arithmetic.

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