TSI
A bag contains 8 red marbles, 3 blue marbles, and 4 green marbles. What is the probability Carlos draws a red marble, does not replace it, and then draws another red marble?
Choices: 2/15, 4/15, 32/105, 64/225
4/15
64 is 4 times the difference between Sarah's age, a, and 44. Assume that Sarah is older than 44.
60
A rock is dropped into the center of a circular pond. The ripple moved outward at 4 m/s. How fast does the area change, with respect to time, when the ripple is 3m from the center?
24π meters
A communications company charges $5.00 for the first 10 minutes of a call and $1.20 for each minute thereafter. Which of the following equations correctly relates the price in dollars, d, to the number of minutes, m (when m is greater than or equal to 10)?
Choices:
d = 5 + 1.2m
d = 5 + 1.2(m - 10)
d = 5m + 1.1(m + 10)
d=(m + 10)(5 + 1.2)
d = 5 + 1.2(m - 10)
At the north campus of a performing arts school, 40% of the students are music majors. At the south campus, 80% of the students are music majors. The campuses are merged into one east campus. If half of the 1200 students at the east campus are music majors, how many students did each of the north and south campuses have before the merge?
North: 900
South: 300
Frustrated with your calculus class, you attach a rocket to it and launch it down from your dorm window. The height of the book, in feet over the car after t seconds is given by the function h(t) = 200 – 16t2. The book will dent your car if it’s going more than 100 feet per second. Will your car get dented?
Hint:The given equation is not for the velocity of a falling object. It is a position function.
Yes
If an item with an original price of $25.98 is marked down by 25%, and a coupon for 20% off is additionally applied, what is the final price?
Choices: $19.49, $17.77, $15.59, $13.28
$15.59
If the area of a rectangular game board is 336 square inches and its perimeter is 76 inches, what is the length of the shorter side?
Choices: 10 inches, 14 inches, 19 inches, 24 inches
14 inches
A spherical balloon is being inflated at the rate of 10 cu in/sec. What is the rate of change of the area when the balloon has a radius of 6 in?
10/3 inches
There are 80 students in a school. Every student is taking either algebra or pre-calculus, and some students are taking both. There are 60 students in the algebra class. If 15 students are taking both algebra and pre-calculus, what is the probability that a randomly selected student is taking pre-calculus but not algebra?
Choices, 1/4, 1/3, 3/8, 3/4
1/4
John and Julie represented West High in a math contest. John outscored Julie by 16 points; as a team, they scored 80 points.
David and Dana represented East High in the same contest. Dana outscored David by 10 points; as a team they scored 60 points. Arrange the four students from highest score to lowest score.
John, Dana, Julie, David
Find the volume of the largest box that can fit within the plane of:
x + 2y + 3z = 6
4/3
If the average of 7 and x is equal to the average of 9, 4, and x, what is the value of x?
Choices: 4, 5, 6, 7
5
Two inlet pipes lead into a large water tank. One pipe can fill the tank in 45 minutes; the other can fill it in 40 minutes. To the nearest tenth of a minute, how long would it take the two pipes together to fill the tank if both were opened at the same time?
Choices: 23.8 minutes, 26.2 minutes, 21.2 minutes, 18.8 minutes
~21.18 or 21.2 minutes
A child is flying a kite. The kite is at a height of 60 m with 75 m of cord out, as shown. If the kite moves horizontally at a speed of 6 km/h away from the child, determine how fast the cord is being let out at this instant. Determine also the rate at which the angle theta is decreasing.
1) 3600 km/h
2) -64 deg/h