New SAT Math Multiple Choice Practice Test 8

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1. An air pump at a gas station dispenses 90 pounds of air for $0.25. Which of the following expressions gives the number of pounds of air dispensed, P, for d dollars?

  • A. P = d + 90
  • B. P = d + 360
  • C. P = 90d
  • D. P = 360d

2. Taylor is 6 feet tall. If 1 foot is equal to approximately 0.3 meters, then which of the following is closest to Taylor's height in meters?

  • A. 1.8
  • B. 2
  • C. 18
  • D. 20

3. A developer is creating a plan for a 44-acre park that includes a 4-acre lake that cannot be developed. If 8 to 10 acres, inclusive, must be reserved for soccer fields, which of the following inequalities shows all possible values for p, the amount of land that within the park that is available for development?

  • A. 26 ≤ p ≤ 40
  • B. 30 ≤ p ≤ 32
  • C. 34 ≤ p ≤ 36
  • D. 36 ≤ p ≤ 40

4. Fuel Efficiency by Vehicle Weight

The scatterplot above shows the fuel efficiency, in miles per gallon, of a variety of vehicles weighing between 1.5 and 4 tons. Based on the line of best fit to the data represented, which of the following is the closest to the expected miles per gallon of a vehicle that weighs 3 tons?

  • A. 20
  • B. 24
  • C. 27
  • D. 28

5.

As part of a recent wildlife conservation effort in Guatemala, park rangers in Tikal National Park have tracked the growing number of white-nosed coati living within a certain protected region over the period 1994-2004.

According to the data above, if the population of coati in the protected region of Tikal National Park increased at the same rate from 2004-2006 as it did from 2000-2004, then what was the number of coati in the park in 2006 ?

  • A. 180
  • B. 190
  • C. 200
  • D. 210

6.

If the equation above has infinitely many solutions for d, what is the value of a ?

  • A. -10
  • B. 10
  • C. 15
  • D. 20

7. Maggie's and Glenn's Distances from Home During Jog

Maggie and Glenn both leave from the same house to go for a jog along a trail. Shortly after leaving, Maggie realizes she forgot her iPod and returns home to find it before heading back out onto the same trail. The graph above shows how far each of them is from home for the first fifteen minutes of their jogs.

What is Glenn's approximate average speed in meters per second for the portion of his jog shown?

  • A. 3.3
  • B. 15
  • C. 200
  • D. 12000

8. Environmentalists have been monitoring the area of a glacier in Canada. The glacier is slowly shrinking. The glacier originally occupied 15,000 square miles, but after two years of monitoring the glacier, the scientists document that the area of the glacier is now 14,910 square miles. If y is the number of years since monitoring began, which equation best describes the glacier's area, G(y), as a function of time?

  • A. G(y) = 15,000
  • B. G(y) = 15,000 (0.003)y
  • C. G(y) = 15,000(0.997)y
  • D. G(y) = 0.997y

9. Mike consumes an average of 1,680 calories per day. Each day he has finals, Mike consumes 12% more calories per day than he usually does. During the last day of finals, he celebrates by consuming an additional 900 calories. Which of the following represents the total number of calories Mike consumes during d days of finals?

  • A. 1.12(1,680d + 900)
  • B. 1.12(1,680d) + 900
  • C. 1.12(1,680 + 900)d
  • D. (1,680 + 0.12d) + 900

10. The varsity swim team at Northwest High is planning a team trip and needs to choose between Austin, TX, and Pensacola, FL. The team takes a vote and the results of the vote are shown in the table below.

Juniors Seniors
Austin, TX 14 19
Pensacola, FL 7 23

Given the information shown above, which of the following statements is true?

  • A. The number of juniors that prefer Pensacola, FL, is twice the number of juniors that prefer Austin, TX.
  • B. The seniors are more than three times as likely to prefer Pensacola, FL, than are the juniors.
  • C. The number of seniors that prefer Austin, TX, is 5% more than the number of juniors that prefer Austin.
  • D. One-third of the juniors prefer Pensacola, FL.

11. The 2013 U.S. Census recorded the highest educational attainment of all adults aged 25 years or older in county T, one of the most educated parts of the country. The results are given in the two-way table below.

According to the data presented in the table above, if you were to choose a person at random out of the entire population aged 25 years or older in county T, what is the approximate probability that the person you chose is a man with a doctoral degree (given as a percent)?

  • A. 2%
  • B. 7%
  • C. 28%
  • D. 51%

12. The cost in dollars, C, of producing a custom-made T-shirt with a team logo is given by the formula C = 110 + , where x is the number of T-shirts produced. When every T-shirt produced is sold, the revenue from selling the customized T-shirts is given by R = 15x - . Which one of the following would be the formula for the profit from producing and selling x T-shirts?

(Profit = Revenue - Cost)

  • A. - - x + 110
  • B. - - x + 110
  • C. - + x - 110
  • D. - + x - 110

13. While on vacation in Morocco, Erik decided to splurge on a fancy hotel that cost 2,000 Moroccan dirhams per night. If he stayed in that particular hotel for three nights, but his bank only lets him withdraw $200 at a time, how many visits to the ATM must Erik have made in order to cover the cost of his hotel stay?

(Note: 1 Moroccan dirham = $0.11)

  • A. 1
  • B. 2
  • C. 3
  • D. 4

14. Peter's Petrol Station is selling regular unleaded gas for $3.49 a gallon and premium gas for $3.79 a gallon. If a car wash is purchased, then a discount of $0.10 per gallon is applied. During one morning, a total of 850 gallons of gas was sold, and 100 gallons were sold at the discounted rate. The total collected in sales was $3,016.50. Solving which of the following systems of equations yields the number of regular unleaded gallons of gas, u, and the number of premium gallons of gas, p, that were sold during that morning?

  • A. u + p = 850
    3.49u + 3.79p = 301.65
  • B. u + p = 850
    3.49u + 3.79p = 3,016.50
  • C. u + p = 850
    3.49u + 3.79p = 3,026.50
  • D. u + p = 3,016.50
    3.49u + 3.79p = 850

15. Of the 784 juniors and seniors at Abingdon High School, 319 are currently enrolled in one or more Advanced Placement (AP) courses. Of these AP students, 75 are enrolled in AP Biology, 58 are enrolled in AP U.S. History, and 22 are enrolled in both AP Biology and AP U.S. History. Approximately what percent of the juniors and seniors at Abingdon High School are enrolled in AP courses other than Biology and U.S. History?

  • A. 17%
  • B. 27%
  • C. 37%
  • D. 47%