Accuplacer Advanced Algebra and Functions Practice Test 2026

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)

Correct Answer:

\frac{3}{2b}

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}

Correct Answer:

2x³ + 5x² – 22x + 15

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

Correct Answer:

2.5

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

Correct Answer:

2

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.

Correct Answer:

D

Explanation:

Correct answer: D

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Accuplacer Advanced Algebra and Functions Practice Test 2026

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Accuplacer Advanced Algebra and Functions Practice Test 2026

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