1. The USDA recommends that adult females consume 75 milligrams of ascorbic acid, also known as vitamin C, each day. Because smoking inhibits vitamin absorption, smokers are encouraged to consume an additional 35 milligrams daily. If one grapefruit contains 40 milligrams of vitamin C and one serving of spinach contains 10 milligrams, which of the following inequalities represents the possible intake of grapefruit, g, and spinach, s, that a smoking female could consume to meet or surpass the USDA’s recommended amount of vitamin C?
A) 40g + 10s ≥ 75
B) 40g + 10s ≥ 110
C) 40g + 10s > 110
D) 40/g + 30/s ≥ 110

2. The scatterplot above shows the relationship between the amount of time spent watching commercials each day and the amount of money spent each week on brand-name grocery products for 10 consumers. The line of best fit for the data is also shown. Which of the following best represents the meaning of the slope of the line of best fit in the context of this question?
A) The predicted amount of time spent watching commercials when a person spends 0 dollars on brand-name products
B) The predicted amount of money spent on brand-name products when a person spends 0 minutes watching commercials
C) The predicted increase in time spent watching commercials for every dollar increase in money spent on brand-name products
D) The predicted increase in money spent on brand-name products for every one-minute increase in time spent watching commercials

3. There are very few states in the United States that require public schools to pay sales tax on their purchases. For this reason, many schools pay for student portraits and then the parents reimburse the school. Parents can choose between the
basic package for $29.50 and the deluxe package for $44.50. If 182 parents ordered packages and the school’s total bill was
$6,509, which of the following systems of equations could be used to find the number of parents who ordered a basic package, b, and the number who ordered a deluxe package, d, assuming no parent ordered more than one package?

4. The graph of a polynomial function p(x) is shown above. For what value(s) of x does p(x) = −4 ?
A) −1
B) 4
C) −7 and 5
D) −7, 4, and 5

5. If 4x + 3 = 19, what is the value of 4x − 3 ?
A) −19
B) 4
C) 13
D) 19

6. What is the slope of the line shown in the above graph?
A) -2 
B) -7/9
C) -6/9
D) 2

7. Most crimes in the United States are governed by state law rather than federal. Suppose two states passed laws that raised the penalty for committing armed robbery. The figure above represents the crime rate for armed robbery in both states after the laws were passed. Based on the graph, which of thenfollowing statements is true?
A) State A’s law had a more positive impact on the crime rate for armed robbery.
B) State B’s law had a more positive impact on the crime rate for armed robbery.
C) The laws in both states had the same impact on the crime rate for armed robbery.
D) Without axis labels, it is not possible to determine which state’s law had a bigger impact.

8. On average, for every 2,500 cans of colored paint a home improvement chain mixes, exactly 40 are the wrong color (defective). At this rate, how many cans of paint were mixed during a period in which exactly 128 were defective?
A) 5,200
B) 7,500
C) 8,000
D) 10,200

9. According to the American Association of University Women, the mean age of men who have a college degree at their first marriage is 29.9 years. The mean age of women with a college degree at their first marriage is 28.4 years. Which of the following must be true about the combined mean age, m, of men and women with college degrees at their first marriage?
A) m = 29.15
B) m > 29.15
C) m < 29.15
D) 28.4 < m < 29.9

10. When scuba divers ascend from deep water, they must either rise slowly or take safety breaks to avoid nitrogen buildup in their lungs. The length of time a diver should take to ascend is directly proportional to how many feet she needs to ascend. If a scuba diver can safely ascend 165 feet in 5.5 minutes, then how many feet can she ascend in 90 seconds?
A) 45
B) 60
C) 75
D) 90

11. The chief financial officer of a shoe company calculates that the cost, C, of producing p pairs of a certain shoe is C = 17p + 1,890. The marketing department wants to sell the shoe for $35 per pair. The shoe company will make a profit only if the total revenue from selling p pairs is greater than the total cost of producing p pairs. Which of the following inequalities gives the number of pairs of shoes, p, that the company needs to sell in order to make a profit?
A) p < 54
B) p > 54
C) p < 105
D) p > 105

12. The human body has a very limited ability to store carbohydrates, which is why it is important for athletes to consume them during long training sessions or competitions. It is recommended that athletes consume approximately 3 calories per minute in situations like these. How many calories would an athlete biking a 74-mile race need to consume, assuming he bikes at an average speed of 9.25 miles per hour during the race?
A) 480
B) 1,440
C) 1,665
D) 2,053.5

Questions 14 and 15 refer to the following information.

The figure shows the age distribution of homebuyers and the percent of the market each age range makes up in a particular geographic region.

14. A new real estate agent is deciding which age group she should market toward in order to get the most clients. Which of the following measures of the data would be best for her to use when making this decision?
A) Mean
B) Mode
C) Range
D) Median

15. Based on the information in the figure, which of the following statements is true?
A) The shape of the data is skewed to the right, so the mean age of homebuyers is greater than the median.
B) The shape of the data is skewed to the left, so the median age of homebuyers is greater than the mean.
C) The shape of the data is fairly symmetric, so the mean age of homebuyers is approximately equal to the median.
D) The data has no clear shape, so it is impossible to make a reliable statement comparing the mean and the median.

16. A railway company normally charges $35 round trip from the suburbs of a city into downtown. The company also offers a deal for commuters who use the train frequently to commute from their homes in the suburbs to their jobs in the city. Commuters can purchase a discount card for $900, after which they only have to pay $12.50 per round trip. How many round trips, t, must a commuter make in order for the discount card to be a better deal?
A) t < 40
B) t > 40
C) t < 72
D) t > 72

17. Most people save money before going on vacation. Suppose Etienne saved $800 to spend during vacation, 20 percent of which he uses to pay for gas. If he budgets 25 percent of the remaining money for food, allots $300 for the hotel, and spends the rest of the money on entertainment, what percentage of the original $800 did he spend on entertainment?
A) 14.5%
B) 17.5%
C) 22.5%
D) 28.5%

18. A microbiologist placed a bacteria sample containing approximately 2,000 microbes in a petri dish. For the first 7 days, the number of microbes in the dish tripled every 24 hours. If n represents the number of microbes after h hours, then which of the following equations is the best model for the data during the 7-day period?
A) n = 2,000(3)^h/24
B) n = 2,000(3)^24h
C) n = h/24 x 2,000
D) n = 24h x 2,000

19. A survey is conducted regarding a proposed change in the attendance policy at a law school. The table above categorizes the results of the survey by year of the student (1L, 2L, or 3L) and whether they are for, against, or undecided about the new policy. What fraction of all 1Ls and 2Ls are against the new policy?
A) 14/61
B) 24/61
C) 28/53
D) 28/177​

21. If an exponential function is used to model the data shown in the figure above, and it is written in the form f (x) = f (0)(1 + r)x, what would be the value of r ?
A) 2
B) 3
C) 4
D) 5

22. The Great Pyramid of Giza, built in the 26th century BCE just outside of Cairo, Egypt, had an original height of 480 feet, 8 inches, before some of the stones in which it was encased fell away. Inside the pyramid is a 53.75-foot passage, called the Dead End Shaft, which archeologists have yet to discover the purpose of. Suppose a museum is building a scale model of the pyramid for patrons to explore. Because of the museum’s ceiling height, they can only make the pyramid 71 feet, 6 inches tall. About how many feet long should the museum’s Dead End Shaft be? (1 foot = 12 inches)
A) 8
B) 12
C) 30
D) 96

24. Ethanol is an alcohol commonly added to gasoline to reduce the use of fossil fuels. A commonly used ratio of ethanol to gasoline is 1:4. Another less common and more experimental additive is methanol, with a typical ratio of methanol to gasoline being 1:9. A fuel producer wants to see what happens to cost and fuel efficiency when a combination of ethanol and methanol are used. In order to keep the ratio of gasoline to total additive the same, what ratio of ethanol to methanol should the company use?
A) 1:1
B) 4:9
C) 9:4
D) 36:9

25. Julia and Ravi are meeting at a museum. The figure above represents the drives from their homes to the museum. Based on the figure, which of the following statements is true?
A) Julia drove to the museum at a faster speed than Ravi.
B) Julia and Ravi drove to the museum at about the same speed.
C) It took Ravi longer to arrive at the museum because his home is farther away.
D) It took Julia longer to arrive at the museum because her home is farther away.

26. If the graph of the function g(x) passes through the point (8, −3), then through which point does the graph of −g(x − 4) − 6 pass?
A) (−12, −9)
B) (−12, −3)
C) (4, −3)
D) (12, −3)

27. If f (x) = x − 1, g(x) = x³, and x ≤ 0, which of the following could NOT be in the range of f (g(x)) ?
A) −27
B) −3
C) −1
D) 1

28. Given the equation y = −3(x − 5)² + 8, which of the following statements is NOT true?
A) The y-intercept is (0, 8).
B) The axis of symmetry is x = 5.
C) The vertex is (5, 8).
D) The parabola opens downward.

29. Every weekend for 48 hours, a law firm backs up all client files by scanning and uploading them to a secure remote server. On average, the size of each client file is 2.5 gigabytes. The law firm’s computer can upload the scans at a rate of 5.25 megabytes per second. What is the maximum number of clientfiles the law firm can back up each weekend? (1 gigabyte = 1,000 megabytes)
A) 362
B) 363
C) 476
D) 477

30. Main Street and 2nd Street run parallel to each other. Both are one-way streets. Main Street runs south and 2nd Street runs north. The city is planning to build a new road, also one-way, that runs toward the southeast and cuts through both streets at an angle. Traffic turning off of Main Street would have to make a 125° turn onto the new road. What angle would traffic turning off of 2nd Street have to make turning onto the new road?
A) 55°
B) 65°
C) 125°
D) 235°

32. A company is buying two warehouses near its production plants in two states, New York and Georgia. As is always the case in the real estate market, the geographic location plays a major role in the price of the property. Consequently, the warehouse in New York costs $30,000 less than four times the Georgia warehouse. Together, the two warehouses cost the company $445,000. How many more thousand dollars does the New York property cost than the Georgia property?

33. The histogram above shows the number of vehicles that a car rental agency currently has available to rent, categorized by fuel efficiency ratings. If a customer randomly selects one of the available cars, what is the probability that he will get a car that has a fuel efficiency rating of at least 25 miles per gallon? Enter your answer as a decimal number.

34. The volume of a rectangular shipping crate being loaded onto a barge for international shipment across the Panama Canal is 10,290 cubic feet. If the length to width to height ratio of the crate is 3:5:2 (in that order), what is the length of the crate in feet?

35. A company conducted a study comparing the overall job performance of its regional managers with the length of time each one spent in the company’s management training program. The scatterplot above shows the results of the study. What is the length of the time spent in training, in months, of the manager represented by the data point that is the greatest
distance from the line of best fit (not shown)?

36. If (2³²)⁽²³²⁾= 2⁽²x⁾, what is the value of x ?

Questions 37 and 38 refer to the following information.

Three cars all arrive at the same destination at 4:00 p.m. The first car traveled 144 miles mostly by highway. The second car traveled 85 miles mainly on rural two-lane roads. The third car traveled 25 miles primarily on busy city streets.

37. The first car traveled at an average speed of 64 miles per hour. The second car started its drive at 2:18 p.m. How many minutes had the first car already been traveling before the second car started its drive?

38. The third car encountered heavy traffic for the first 60 percent of its trip and only averaged 15 miles per hour. Then traffic stopped due to an accident and the car did not move for 20 minutes. After the accident was cleared, the car averaged 30 miles per hour for the remainder of the trip. At what time in the afternoon did the third car start its trip? Use only digits for your answer. (For example, enter 1:25 p.m. as 125.)