ACCUPLACER EXAM WITH ANSWERS

ACCUPLACER EXAM WITH ANSWERS




Arithmetic

1. Question: What is 3.5+2.73.5 + 2.73.5+2.7? Answer: 6.26.26.2
2. Question: Calculate 4.8×6.54.8 \times 6.54.8×6.5. Answer: 31.231.231.2
3. Question: Simplify 58+34\frac{5}{8} + \frac{3}{4}85+43. Answer: 118\frac{11}
{8}811
4. Question: How many ounces are in 1.5 pounds? Answer: 242424 ounces
5. Question: If a car travels at an average speed of 60 miles per hour for 3 hours, how far
does it travel? Answer: 180180180 miles
6. Question: What is 25%25\%25% of 80? Answer: 202020
7. Question: Solve for xxx in the equation 2x+5=152x + 5 = 152x+5=15. Answer: x=5x =
5x=5
8. Question: Calculate 144\sqrt{144}144. Answer: 121212
9. Question: Convert 1.251.251.25 as a fraction in simplest form. Answer: 54\frac{5}
{4}45
10. Question: A rectangle has a length of 10 cm and a width of 6 cm. What is its perimeter?
Answer: 323232 cm

Elementary Algebra:

11. Question: Solve for xxx in the equation 3x−7=143x - 7 = 143x−7=14. Answer: x=7x =
7x=7
12. Question: Factorize x2−4x+4x^2 - 4x + 4x2−4x+4. Answer: (x−2)2(x-2)^2(x−2)2
13. Question: Solve the inequality: 2x+3<112x + 3 < 112x+3<11. Answer: x<4x < 4x<4
14. Question: What are the solutions to the equation x2−9=0x^2 - 9 = 0x2−9=0? Answer:
x=−3x = -3x=−3 or x=3x = 3x=3
15. Question: Simplify x2+4x+4x+2\frac{x^2 + 4x + 4}{x + 2}x+2x2+4x+4. Answer: x+2x
+ 2x+2
16. Question: If f(x)=2x2−5x+3f(x) = 2x^2 - 5x + 3f(x)=2x2−5x+3, find f(3)f(3)f(3).
Answer: 121212
17. Question: Solve for xxx in the equation 23x=8\frac{2}{3}x = 832x=8. Answer: x=12x =
12x=12
18. Question: Expand (2x−1)2(2x - 1)^2(2x−1)2. Answer: 4x2−4x+14x^2 - 4x +
14x2−4x+1
19. Question: Solve the equation ∣2x−5∣=7|2x - 5| = 7∣2x−5∣=7. Answer: x=6x = 6x=6 or
x=−1x = -1x=−1
20. Question: Factorize x2+7x+10x^2 + 7x + 10x2+7x+10. Answer: (x+2)(x+5)(x+2)(x+5)
(x+2)(x+5)

College-Level Math:

21. Question: Solve the system of equations:

, {2x+y=5x−3y=−2\begin{cases} 2x + y = 5 \\ x - 3y = -2 \end{cases}{2x+y=5x−3y=−2

Answer: x=1,y=3x = 1, y = 3x=1,y=3

22. Question: Find the slope of the line passing through the points (−1,2)(-1, 2)(−1,2) and
(3,−4)(3, -4)(3,−4). Answer: −1-1−1
23. Question: What is the equation of a circle with center (2,−3)(2, -3)(2,−3) and radius 4?
Answer: (x−2)2+(y+3)2=16(x - 2)^2 + (y + 3)^2 = 16(x−2)2+(y+3)2=16
24. Question: Calculate ∫01(2x+1) dx\int_0^1 (2x + 1) \, dx∫01(2x+1)dx. Answer: 222
25. Question: Solve for xxx in the equation log⁡2x=3\log_2 x = 3log2x=3. Answer: x=8x =
8x=8
26. Question: Find the domain of the function f(x)=1x−2f(x) = \frac{1}{x-2}f(x)=x−21.
Answer: x≠2x \neq 2x=2
27. Question: Solve the quadratic equation 2x2−5x+2=02x^2 - 5x + 2 = 02x2−5x+2=0.
Answer: x=12x = \frac{1}{2}x=21 or x=2x = 2x=2
28. Question: Calculate sin⁡−1(0.5)\sin^{-1}(0.5)sin−1(0.5). Answer: 30∘30^\circ30∘ or π6\
frac{\pi}{6}6π
29. Question: Find the midpoint of the line segment joining (−3,4)(-3, 4)(−3,4) and (5,−2)(5,
-2)(5,−2). Answer: (1,1)(1, 1)(1,1)
30. Question: If f(x)=x+1f(x) = \sqrt{x+1}f(x)=x+1, what is f−1(x)f^{-1}(x)f−1(x)?
Answer: y=x2−1y = x^2 - 1y=x2−1

Reading Comprehension:

31. Question: What is the main idea of the passage?

Answer: The passage discusses the effects of climate change on marine ecosystems.

32. Question: According to the passage, what are two reasons for the decline in bee
populations?

Answer: Pesticide use and habitat loss.

33. Question: Which word best describes the author's tone in the passage?

Answer: Concerned

34. Question: What inference can be made about the protagonist based on his actions in the
story?

Answer: He values honesty and loyalty.

35. Question: What is the purpose of the passage? Answer: To inform readers about the
benefits of organic farming.
36. Question: According to the passage, what are the consequences of deforestation?
Answer: Loss of biodiversity and increased carbon dioxide levels.