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1. A home improvement store that sells carpeting charges a flat installation fee and a certain amount per square foot of carpet ordered. If the total cost for f square feet of carpet is given by the function C(f ) = 3.29f + 199, then the value 3.29 best represents which of the following?

  • A. The installation fee
  • B. The cost of one square foot of carpet
  • C. The number of square feet of carpet ordered
  • D. The total cost not including the installation fee

2.

The United States Constitution requires that any candidate for the presidency be at least 35 years of age, although no president to date has been that young. The figure above shows the distribution of the ages of the presidents through 2012 at the time they were inaugurated. Based on the information shown, which of the following statements is true?

  • A. The shape of the data is skewed to the left, so the mean age of the presidents is greater than the median.
  • B. The shape of the data is fairly symmetric, so the mean age of the presidents is approximately equal to the median.
  • C. The data has no clear shape, so it is impossible to make a reliable statement comparing the mean and the median.
  • D. The same number of 55-or-older presidents have been inaugurated as ones who were younger than 55, so the mean age is exactly 55.

3.

Which value of x satisfies the equation above?

  • A. –5
  • B. –3
  • C. –1
  • D. 1

4.

The following quadratic equations are all representations of the graph shown above. Which equation could you use to find the minimum value of the function, without doing any additional work?

  • A.
  • B.
  • C.
  • D.

5. The Farmers' Market sells apples by the basket. The market charges $3.00 for the basket itself, plus $1.97 per pound of apples. A 6% sales tax is also applied to the entire purchase. Which equation represents the total cost of p pounds of apples at the Farmers' Market?

  • A. c = (1.97 + 0.06p) + 3
  • B. c = 1.06(1.97p) + 3
  • C. c = 1.06(1.97 + 3)p
  • D. c = 1.06(1.97p + 3)

6.

Which of the following is a solution to the system of inequalities shown in the figure above?

  • A. (1, 5)
  • B. (2, 6)
  • C. (4, 1)
  • D. (5, 4)

7. Marion is a city planner. The city she works for recently purchased new property on which it plans to build administrative offices. Marion has been given the task of sizing the lots for new buildings, using the following guidelines:

The square footage of each lot should be greater than or equal to 3,000 square feet, but less than or equal to 15,000 square feet.

Each lot size should be at least 30% greater in area than the size before it.

To simplify tax assessment calculations, the square footage of each lot must be a multiple of 1,000 square feet.

Which list of lot sizes meets the city guidelines and includes as many lots as possible?

  • A. 3,000; 5,000; 10,000; 15,000
  • B. 3,000; 4,500; 6,000; 7,500; 10,000; 15,000
  • C. 3,000; 4,000; 6,000; 8,000; 11,000; 15,000
  • D. 3,000; 3,900; 5,100; 6,600; 8,600; 11,200; 14,600

8. One function of the Environmental Protection Agency (EPA) is to reduce air pollution. After implementing several pollution reduction programs in a certain city, EPA calculated that the air pollution should decrease by approximately 8% each year. What kind of function could be used to model the amount of air pollution in this city over the next several years, assuming no other significant changes?

  • A. A linear function
  • B. A quadratic function
  • C. A polynomial function
  • D. An exponential function

9. Escape velocity is the speed that a traveling object needs to break free of a planet or moon's gravitational field without additional propulsion (for example, without using fuel). The formula used to calculate escape velocity is , where G represents the universal gravitational constant, m is the mass of the body from which the object is escaping, and r is the distance between the object and the body's center of gravity. Which equation represents the value of r in terms of v, G, and m?

  • A.
  • B.
  • C.
  • D.

10. A movie rental kiosk dispenses DVDs and Blu-rays. DVDs cost $2.00 per night and Blu-rays cost $3.50 per night. Between 5 PM and 9 PM on Saturday, the kiosk dispensed 209 movies and collected $562.00. Solving which system of equations would yield the number of DVDs, d, and the number of Blu-rays, b, that the kiosk dispensed during the 4-hour period?

  • A.
  • B.
  • C.
  • D.

11. The United States Senate has two voting members for each of the 50 states. The 113th Congress had a 4:1 male-to-female ratio in the Senate. Forty-five of the male senators were Republican. Only 20 percent of the female senators were Republican. How many senators in the 113th Congress were Republican?

  • A. 20
  • B. 49
  • C. 55
  • D. 65

12. According to the Project on Student Debt prepared by The Institute for College Access and Success, 7 out of 10 students graduating in 2012 from a four-year college in the United States had student loan debt. The average amount borrowed per student was $29,400, which is up from $18,750 in 2004. If student debt experiences the same total percent increase over the next eight years, approximately how much will a college student graduating in 2020 owe, assuming she takes out student loans to pay for her education?

  • A. $40,100
  • B. $44,300
  • C. $46,100
  • D. $48,200

13. Annalisa has 10 beanbags to throw in a game. She gets 7 points if a beanbag lands in the smaller basket and 3 points if it lands in the larger basket. If she gets b beanbags into the larger basket and the rest into the smaller basket, which expression represents her total score?

  • A. 3b
  • B. 3b + 7
  • C. 30 + 4b
  • D. 70 – 4b

14. In a 2010 poll, surveyors asked registered voters in four different New York voting districts whether they would consider voting to ban fracking in the state. Hydraulic fracturing, or "fracking," is a mining process that involves splitting rocks underground to remove natural gas. According to ecologists, environmental damage can occur as a result of fracking, including contamination of water. The results of the 2010 survey are shown in the following table.

In Favor of Ban Against Ban No Opinion Total
District A 23,247 17,106 3,509 43,862
District B 13,024 12,760 2,117 27,901
District C 43,228 49,125 5,891 98,244
District D 30,563 29,771 3,205 63,539
Total 110,062 108,762 14,722 233,546

According to the data, which district had the smallest percentage of voters with no opinion on fracking?

  • A. District A
  • B. District B
  • C. District C
  • D. District D

15. In a 2010 poll, surveyors asked registered voters in four different New York voting districts whether they would consider voting to ban fracking in the state. Hydraulic fracturing, or "fracking," is a mining process that involves splitting rocks underground to remove natural gas. According to ecologists, environmental damage can occur as a result of fracking, including contamination of water. The results of the 2010 survey are shown in the following table.

In Favor of Ban Against Ban No Opinion Total
District A 23,247 17,106 3,509 43,862
District B 13,024 12,760 2,117 27,901
District C 43,228 49,125 5,891 98,244
District D 30,563 29,771 3,205 63,539
Total 110,062 108,762 14,722 233,546

A random follow-up survey was administered to 500 of the respondents in District C. They were asked if they planned to vote in the next election. The follow-up survey results were: 218 said they planned to vote, 174 said they did not plan to vote, and 108 said they were unsure. Based on the data from both the initial survey and the follow-up survey, which of the following is most likely an accurate statement?

  • A. Approximately 19,000 people in District C who support a ban on fracking can be expected to vote in the next election.
  • B. Approximately 21,000 people in District C who support a ban on fracking can be expected to vote in the next election.
  • C. Approximately 43,000 people in District C who support a ban on fracking can be expected to vote in the next election.
  • D. Approximately 48,000 people in District C who support a ban on fracking can be expected to vote in the next election.