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Accuplacer Advanced Algebra and Functions Practice Test 2026

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About this Exam

Prepare with the Accuplacer Advanced Algebra and Functions Practice Test 2026 practice quiz. This question bank includes 25 questions covering frac, value, equation, function, and angle. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

Sample Questions

Question 1
If \frac1a + \frac{1}{2a} = b , what is the value of a in terms of b ?
\frac{3}{2b}
10
\frac{5}{4}
(5, -1)
Explanation:
Correct answer: \frac{3}{2b}
Question 2
(2x – 3) (x² + 4x – 5) is equivalent to which of the following expressions?
2
2x³ + 5x² – 22x + 15
y= (x + 1)² -4
\frac{7}{5}
Explanation:
Correct answer: 2x³ + 5x² – 22x + 15
Question 3
In the following figure, lines AB and CD are parallel, with AD and BC intersecting at E . If the lengths of AE, BE , and EC are 2, 4, and 5 respectively, what is the length of ED ?
3.5
1.5
2.5
5
Explanation:
Correct answer: 2.5
Question 4
If f(x) = x² -4x and g(x) = 3x + 6, what is the value of \frac{f(6)}{g(-4)} = ?
2
1
-1
-2 View Correct Answer Answer Key: D Q5. What is the equation of the line that is parallel to the following line and passes through the origin? View Correct Answer Answer Key: D Q6. All of the following are functions EXCEPT View Correct Answer Answer Key: C Q7. If a and b are the two solutions to the equation 2x² – 14x = -20 , which of the following is a possible value of a-b ? (A) 3 (B) 5 (C) 7 (D) 10 View Correct Answer Answer Key: A Q8. Which of the following equations is the function shown in this xy graph? (A) y= (x + 1)(x + 3) (B) y= (x + 1)(x – 3) (C) y= (x + 1)² -4 (D) y= (x – 1)² -4 View Correct Answer Answer Key: C Q9. Points A and B are two points on the circle centered at O , shown here. If OB= 4 and the measure of angle AOB is 40 degrees, what is the arc length AB ? (A) \frac{2π}{9} (B) \frac{4π}{9} (C) \frac{8π}{9} (D) \frac{16π}{9} View Correct Answer Answer Key: C Q10 . Jonathan invested $2000 in a CD that paid 4% interest compounded annually. He used the equation f(t)=2000(n) t to calculate the amount his CD will be worth in t years. Which of the following values should he use for n ? (A) 0.04 (B) 0.4 (C) 1.04 (D) 1.4 View Correct Answer Answer Key: C Q11. What is the value of x if \frac{x+2}{x-3} = \frac{x-5}{x-1} ? (A) \frac{13}{7} (B) \frac{13}{9} (C) \frac{17}{7} (D) \frac{17}{9} View Correct Answer Answer Key: D Q12. Which value(s) are excluded from the domain of the function fx = \frac{1}{x² - 10x + 25} ? (A) 5 (B) -5 (C) 5 and -5 (D) No values are excluded. View Correct Answer Answer Key: A Q13. The equation \frac{x - 4}{4} = \frac{2}{x - 6} has two possible values for x. What is the sum of these two values? (A) 8 (B) 10 (C) 12 (D) 16 View Correct Answer Answer Key: B Q14. If log 6 11x = 2 , then x equals (A) \frac{11}{36} (B) \frac{11}{64} C) \frac{36}{11} (D) \frac{64}{11} View Correct Answer Answer Key: C Q15. In triangle XYZ, angle Y is a right angle if sin X= \frac{7}{25} then sin Z =? (A) \frac{7}{24} (B) \frac{24}{25} C) \frac{24}{7} (D) \frac{25}{7} View Correct Answer Answer Key: B Q16. Which of the following is the equation for this circle? (A) (x-2)² + y² =3 (B) x² + (y+2)² =3 (C) (x+2)² + y² =9 (D) x² + (y-2)² =9 View Correct Answer Answer Key: D Q17. If f(x)=x² – 4x , what is the value of 2f(a-1) ? (A) 2a² + 8a – 6 (B) 2a² – 12a – 6 (C) 2a² – 8a + 10 (D) 2a² – 12a + 10 View Correct Answer Answer Key: D Q18. \sqrt{x² -1}-2=x Solve for x. (A) \frac{4}{5} (B) \frac{5}{4} C) - \frac{4}{5} (D) - \frac{5}{4} View Correct Answer Answer Key: D Q19. if 125 x-1 = \sqrt{5} x+1 , what is the value of x? (A) \frac{5}{7} (B) \frac{7}{5} C) - \frac{5}{7} (D) - \frac{7}{5} View Correct Answer Answer Key: B Q20. if x-y = 3 and x² – y² =15 then x³ – y³ =? (A) 27 (B) 63 (C) 75 (D) 255 View Correct Answer Answer Key: B Q21. if f(x) = x² – 7 , what is the value of f(3) ? (A) 2 (B) -2 (C) 22 (D) -22 View Correct Answer Answer Key: A Q22. Which of the following is true of the end behavior of polynomial 3x 5 – 5x 3 – 7x? (A) It’s positive for both very large and very small values of x. (B) It’s negative for both very large and very small values of x. (C) It’s positive for very large values of x and negative for very small values of x. (D) It’s negative for very large values of x and positive for very small values of x. View Correct Answer Answer Key: C Q23. Which of the following functions includes the point (0, -9) when graphed on the xy-plane? (A) y = x 3 – 5x 2 -x + 9 (B) y = -9x 3 + 4x 2 – 6x – 2 (C) y = 6x 3 – 11x 2 + 8x – 9 (D) y = 3x 3 + 4x 2 -x + 9x View Correct Answer Answer Key: C Q24. Which of the following is a root of the function? y = (x+3)(x-1)(2x-5) (A) \frac{2}{5} (B) \frac{5}{2} (C) - \frac{2}{5} (D) - \frac{5}{2} View Correct Answer Answer Key: B Q25. What are the coordinates of the vertex of the quadratic function y= x 2 – 10x + 24? (A) (5, -1) (B) (1, -5) (C) (5, -10) (D) (10, -5) View Correct Answer Answer Key: A See more.. FREE Accuplacer Practice Test 2026 Official Study Guide [PDF] Reading Practice Test with Sentence Skills Writing Practice Test with grammar question s Arithmetic Practice Test Quantitative Reasoning, Algebra, and Statistics (QAS) Practice Test Advanced Algebra and Functions (AAF) Practice Test Sample Reading Tests Reading Practice Test – 1 Reading Practice Test – 2 Reading Practice Test – 3 Reading Practice Test – 4 Reading Practice Test – 5 Sample Math Tests Equations and Inequalities Exponents Probability Mean Median Mode Ratio Percentages Algebraic Expressions Fractions and Decimals Integers Pre-Algebra Rational Numbers Average Age Sample English Grammar Tests Sentence Completion 1 Sentence Completion 2 Word Analogies Practice Test Sample Critical Reading Tests Critical Reading 1 Critical Reading 2 Critical Reading 3
Explanation:
Correct answer: 2
Question 5
What is the equation of the line that is parallel to the following line and passes through the origin? View Correct Answer Answer Key: D
D
x² + (y-2)² =9
\frac{24}{25}
It’s positive for very large values of x and negative for very small values of x.
Explanation:
Correct answer: D

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Additional Information

Accuplacer Advanced Algebra and Functions Practice Test 2026

This practice set contains 25 questions from the matching question bank and focuses on frac, value, equation, function, and angle. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

This is an independent study resource intended for practice and review; it is not an official examination or an endorsement by any organization named in the title.

Frequently Asked Questions

This quiz contains a total of 25 practice questions carefully selected to test your knowledge on this subject.
Yes, you will have exactly 0 minutes to complete the exam. A countdown timer will be visible once you start.
Yes, you can retake this practice test as many times as you need. The questions and options may be randomized on subsequent attempts to ensure comprehensive learning.

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