An Ironman Triathlon consists of swimming 2.4 miles, biking 112
miles, and running a marathon distance of 26.2 miles. Dylan completed
an Ironman Triathlon in 12 hours and 30 minutes. He spent
approximately half the time biking. He needed about 4 times as much
time to run the 26.2 miles as to swim the 2.4 miles. The average rate of
minutes per mile at which Dylan ran the marathon part of the Triathlon
is closest to which of the following?

A travel agency sells ship cruises for a popular cruise line. Historically,
135 cruises can be sold when the price is $950 per person. If the price
drops to the minimum allowed by the cruise line of $725 per person,
180 cruises can be sold. If the number of cruises sold increases at a
constant rate as the price p decreases, where p ≥ 725, which of the
following functions best models the situation described?

Before the tickets for this performance went on sale, a consultant for the theater had predicted that n, the number of tickets sold per section, would vary with p, the price in dollars for a ticket in that section, according to the formula n =2 800/p. By how many tickets did this model underestimate the actual total number of tickets sold?

In a writer’s workshop, there are half as many men
as women. If there are 24 total men and women in
the writer’s workshop, how many men are there?

One way of estimating a wildlife population of interest is to draw a
sample of the population, tag the animals, and then return them to the
population. Then, at a later date, draw another sample at random from
the same population and compare the results. An ecologist using this
methodology captures, tags, and then returns 198 fish to a lake. Three
months later the ecologist captures a sample of 135 of the same type of
fish, of which 22 were tagged. What would be the ecologist’s best
estimate for the number of fish of that type that are in the lake?

An airline flies two different planes over the same route. The faster of
the two planes travels at an average speed of 540 miles per hour, and
the other plane travels at an average speed of 450 miles per hour. How
many more miles can the faster plane travel in 12 seconds than the
slower plane?

If 15 more tickets were sold in the second mezzanine than in the first mezzanine, what is the total number of tickets that were sold for this performance?

The graph of a line in the xy-plane passes through the points (5, −5)
and (1, 3). The graph of a second line has a slope of 6 and passes
through the point (0, 1). If the two lines intersect at (p, q), what is the
value of p + q?

The square of a positive number is 0.24 greater than
the number itself. What is the number?

What is a possible value of x that satisfies 9 < 4x − |−3| < 10?

Let the function f be defined by f(x) = 2 - |x - 4| for all real values of x . What is the greatest possible value of f ?

A radioactive substance has an initial mass of 100 grams, and its mass is reduced by 40% every 5 years. Which equation could be used to find the number of grams in the mass, y, that remains after x years?

An Internet service provider offers three different
plans for residential users. Plan A charges users
\$500 for the first year of service, and \$80 per month
thereafter. Plan B charges users \$68 per month.
Plan C is a “high speed” plan that offers 200%
higher speeds for \$92 per month.

Isabelle has been using Plan A for over a year.
She recently reviewed her plan and realized that
if she had been using Plan B for same amount
of time, she would have saved $104 for Internet
service over the entire period. At the time of her
review, how many months had Isabelle been on
Plan A?

For what set of values of x is the expression |3x + 4| < 0 true?

If p(x) is a polynomial function and p(−1) = 3, which statement is true?

If 0<x<2π and 5 cos x= √5, what is the value of
\(\left ( \frac{\sin x}{3} \right )^{2}\)

A researcher is trying to estimate the daily amount
of time undergraduate computer science majors
spend on nonrecreational computer activities. She
surveys 120 students from among the computer
science majors at a large state university and
asks them, “How much time do you spend in
nonrecreational computer activities each day?”
The mean of these responses is 210 minutes per
day, with a standard deviation of 16.5 minutes.
If another researcher wishes to present the same
question to a new set of subjects at the same
university, which of the following subject groups
would most likely yield a data set with a smaller
margin of error for the estimated daily amount
of time undergraduate computer science majors
spend on nonrecreational computer activities?

$$\frac{5x-3y}{3x+5y}+\frac{2}{3}=1$$
In the equation above, what is the value of x/y?

x-3y=2y+7
x+2=3(y+1)
In the above system of equations, what is the value of x/y

The equation W = 120I − 12I² represents the power, W, in watts, of a
120-volt circuit having a resistance of 12 ohms when a current, I, is
flowing through the circuit. What is the maximum power, in watts, that
can be delivered in this circuit?

A 48-gram serving of breakfast cereal contains 8 grams of sugar. How many grams of sugar are there in a 57-gram serving of the same cereal?

An Internet service provider offers three different
plans for residential users. Plan A charges users
\$500 for the first year of service, and \$80 per month
thereafter. Plan B charges users \$68 per month.
Plan C is a “high speed” plan that offers 200%
higher speeds for \$92 per month.
Isabelle is now considering switching to either
Plan B or Plan C for her home business, but she
calculates that having the “high speed” plan will
save her only approximately 45 minutes of work
each month. At what minimum hourly rate, in
dollars per hour, would she have to value her work
(that is, how much more would she have to value
one hour of free time over one hour of work time)
for Plan C to be worth the extra cost over Plan B?

The local deli charges a fee for delivery. On Monday, they delivered
two dozen bagels to an office at a total cost of \$8. On Tuesday, three
dozen bagels were delivered at a total cost of \$11. Which system of
equations could be used to find the cost of a dozen bagels, b, if the
delivery fee is f?

7, 12, 22, 42, 82
Which of the following gives a rule for finding each
term in the sequence after the first?

During a coyote repopulation study, researchers
determine that the equation \(P = 250(1.32^{t})\)
describes the population P of coyotes t years
after their introduction into a new region. Which
of the following gives the values of I, the initial
population of coyotes, and r, the annual percent
increase in this population?

If the sum of 10 dimes, 5 nickels, and x quarters equals \$5.25, what is
the value of x?

Which of the following points is NOT on the graph of the line -2x - 3y = 36 in the xy-plane?

For i = √-1, which of the following complex numbers is equivalent to
(10i − 4i2) − (7 − 3i)?

$$\frac{2}{3}x-\frac{1}{4}y=6$$
$$kx-\frac{1}{3}y=8$$
If the system of equations above has an infinite number of solutions,
what is the value of the constant k?