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100
The recommended daily calcium intake for a 20-year-old is 1,000 milligrams (mg). One cup of milk contains 299 mg of calcium and one cup of juice contains 261 mg of calcium. Which of the following inequalities represents the possible number of cups of milk m and cups of juice j a 20-year-old could drink in a day to meet or exceed the recommended daily calcium intake from these drinks alone?
299m + 261j≥ 1,000
100
What kind of graph does y=x make?
linear graph
100
( √2 - √3 )² =
5 - 2√6
100
Of the following, which is greater than ½ ? a.2/5 b.4/7 c.4/9 d.5/11
4/7
100
What kind of graph does y= x^3 make?
Cubic (Tangent) Graph
200
If n ≠ 0, which of the following must be greater than n? I 2n II n² III 2 - n
NONE
200
n and p are integers greater than 1 5n is the square of a number 75np is the cube of a number. The smallest value for n + p is
14
200
The sum of the cubes of any two consecutive positive integers is always... a) odd integer b) even integer c) square of an integer d) cube of an integer
Odd Integer
200
If p is a positive integer, which could be an odd integer? a) 2p+2 b) p^3 - p c) 7p - 3 d) p^2 - p
7p - 3
200
What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?
100
300
A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?
5n
300
An international bank issues its Traveler credit cards worldwide. When a customer makes a purchase using a Traveler card in a currency different from the customer’s home currency, the bank converts the purchase price at the daily foreign exchange rate and then charges a 4% fee on the converted cost. Sara lives in the United States, but is on vacation in India. She used her Traveler card for a purchase that cost 602 rupees (Indian currency). The bank posted a charge of $9.88 to her account that included the 4% fee. What foreign exchange rate, in Indian rupees per one U.S. dollar, did the bank use for Sara’s charge? Round your answer to the nearest whole number.
63
300
If y+2q= 15, q+2p= 5, ana p+ 2y= 7, then p+q+y=
9
300
2^30 + 2^30 + 2^30 + 2^30 =
2^32
300
In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?
24
400
The gas mileage for Peter’s car is 21 miles per gallon when the car travels at an average speed of 50 miles per hour. The car’s gas tank has 17 gallons of gas at the beginning of a trip. If Peter’s car travels at an average speed of 50 miles per hour, which of the following functions f models the number of gallons of gas remaining in the tank t hours after the trip begins?
f(t)= 17- 50t/21
400
A car wash cleans x cars per hour, for y hours, at z dollars per car. How much money in cents does the car wash receive?
100xyz
400
A typical image taken of the surface of Mars by a camera is 11.2 gigabits in size. A tracking station on Earth can receive data from the spacecraft at a data rate of 3 megabits per second for a maximum of 11 hours each day. If 1 gigabit equals 1,024 megabits, what is the maximum number of typical images that the tracking station could receive from the camera each day?
10
400
If f(x) = │(x² – 50)│, what is the value of f(-5) ?
25
400
At a primate reserve, the mean age of all the male primates is 15 years, and the mean age of all female primates is 19 years. Which of the following must be true about the mean age m of the combined group of male and female primates at the primate reserve?
15<m<19
500
When a scientist dives in salt water to a depth of 9 feet below the surface, the pressure due to the atmosphere and surrounding water is 18.7 pounds per square inch. As the scientist descends, the pressure increases linearly. At a depth of 14 feet, the pressure is 20.9 pounds per square inch. If the pressure increases at a constant rate as the scientist’s depth below the surface increases, which of the following linear models best describes the pressure p in pounds per square inch at a depth of d feet below the surface?
p=0.44d+14.74
500
A company’s manager estimated that the cost C, in dollars, of producing n items is C equals 7 n plus 350. The company sells each item for $12. The company makes a profit when total income from selling a quantity of items is greater than the total cost of producing that quantity of items. Which of the following inequalities gives all possible values of n for which the manager estimates that the company will make a profit?
n > 70
500
What is the rate of a bicycle traveling at 10 mph a distance of 5 miles and at 20mph the same distance?
13 1/3mph
500
A research assistant randomly selected 75 undergraduate students from the list of all students enrolled in the psychology-degree program at a large university. She asked each of the 75 students, “How many minutes per day do you typically spend reading?” The mean reading time in the sample was 89 minutes, and the margin of error for this estimate was 4.28 minutes. Another research assistant intends to replicate the survey and will attempt to get a smaller margin of error. Which of the following samples will most likely result in a smaller margin of error for the estimated mean time students in the psychology-degree program read per day?
300 randomly selected undergraduate
500
Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional onetime untaxed fee of $5.00 is charged by the hotel. Which of the following represents Aaron’s total charge, in dollars, for staying x nights?
1.08(99.95X)+5
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