# Accuplacer Math: Quantitative Reasoning, Algebra, and Statistics Placement Test Study Guide Final Exam

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!

#### Question 1 1. A small rental car company has three black cars, one white car, two blue cars, and two red cars available to rent. What is the probability that the next car that will be selected for rental will be a blue or white car?

#### Question 2 2. What is the solution for the following absolute value equation?

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Question 3
3.
Which of the following is an equation for a line that is perpendicular to the line -12*x* + 6*y* = 8?

#### Question 4 4. What is the vertical height of the top of a 20-foot-long extension ladder that is leaning against a house if the base of the ladder is placed a horizontal distance of 5 feet away from the base of the house on level ground?

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Question 5
5.
What is the sum of the following rational values?

5 1/12 - 11 3/4 + 6 7/8

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Question 6
6.
What is the solution for *x* in the following inequality?

-12*x* + 8 > -4

*x*in the following inequality?

*x*+ 8 > -4

#### Question 7 7. The sum of a sequence of 3 consecutive even integers = 1680. What is the value of the second integer of the sequence?

#### Question 8 8. A fashion designer drew a sketch of a dress on a 1:50 scale. If the waist of the dress in the sketch is 0.44 inches, what is the waist size of the actual dress?

#### Question 9 9. During the past 5 weeks, Toby's weekly income has been $562.14, $912.44, $844. 32, $982.75, and $716.09, respectively. What was Toby's mean weekly income during this time period?

#### Question 10 10. If the area of a circle is 420 square meters, what is its circumference?

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Question 11
11.
The center of a circle is located at the Cartesian coordinates of (-3, 8). What are the coordinates of the center of the reflection of this circle about the *x*-axis?

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Question 12
12.
What is the solution to *y*^6 = 27*x*^9 when *x* = 4?

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Question 13
13.
What is the simplified form of the following expression?

(3*x*^4 / 9*y*^3) / (12*x*^6 / 3*y*)

*x*^4 / 9

*y*^3) / (12

*x*^6 / 3

*y*)

#### Question 14 14. The U.S. Customs and Border Protection Department imposes a tax of 3% of the declared value of any non-exempt items purchased by U.S. residents while traveling abroad who wish to bring said items into the United States. If David paid $34.93 in customs taxes, what was the declared value of the non-exempt goods he purchased abroad?

#### Question 15 15. During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the median number of medals won during these Olympic Games.

#### Accuplacer Math: Quantitative Reasoning, Algebra, and Statistics Placement Test Study Guide Final Free Practice Test Instructions

Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. When you have completed the free practice test, click 'View Results' to see your results. Good luck!