Math Test 2

A musician has a new song available for downloading or streaming. The musician earns $0.09 each time the song is downloaded and $0.002
each time the song is streamed. Which of the following expressions represents the amount, in dollars, that the musician earns if the song is
downloaded d times and streamed s times?

A quality control manager at a factory selects 7 lightbulbs at random for inspection out of every 400 lightbulbs produced. At this rate, how many
lightbulbs will be inspected if the factory produces 20,000 lightbulbs?

The amount of money a performer earns is directly proportional to the number of people attending the performance. The performer earns $120 at a
performance where 8 people attend.

How much money will the performer earn when 20 people attend a performance?

The amount of money a performer earns is directly proportional to the number of people attending the performance. The performer earns $120 at a
performance where 8 people attend.

The performer uses 43% of the money earned to pay the costs involved in putting on each performance. The rest of the money earned is the performer’s
profit. What is the profit the performer makes at a performance where 8 people attend?

When 4 times the number x is added to 12, the result is 8. What number results when 2 times x is added to 7 ?

In a video game, each player starts the game with k points and loses 2 points each time a task is not completed. If a player who gains no additional
points and fails to complete 100 tasks has a score of 200 points, what is the value of k ?

A worker uses a forklift to move boxes that weigh either 40 pounds or 65 pounds each. Let x be the number of 40-pound boxes and y be the number of
65-pound boxes. The forklift can carry up to either 45 boxes or a weight of 2,400 pounds. Which of the following systems of inequalities represents this
relationship?

Tony is planning to read a novel. The table above shows information about the novel, Tony’s reading speed, and the amount of time he plans to spend
reading the novel each day. If Tony reads at the rates given in the table, which of the following is closest to the number of days it would take Tony to read the entire novel?

On January 1, 2000, there were 175,000 tons of trash in a landfill that had a capacity of 325,000 tons. Each year since then, the amount of trash in the landfill increased by 7,500 tons. If y represents the time, in years, after January 1, 2000, which of the following inequalities describes the set of years where the landfill is at or above capacity?

A researcher conducted a survey to determine whether people in a certain large town prefer watching sports on television to attending the sporting event. The researcher asked 117 people who visited a local restaurant on a Saturday, and 7 people refused to respond. Which of the following factors makes it least likely that a reliable conclusion can be drawn about the sports-watching preferences of all people in the town?

The distance traveled by Earth in one orbit around the Sun is about 580,000,000 miles. Earth makes one complete orbit around the Sun in one year. Of
the following, which is closest to the average speed of Earth, in miles per hour, as it orbits the Sun?

The atomic weight of an unknown element, in atomic mass units (amu), is approximately 20% less than that of calcium. The atomic weight of calcium
is 40 amu. Which of the following best approximates the atomic weight, in amu, of the unknown element?

A survey was taken of the value of homes in a county, and it was found that the mean home value was $165,000 and the median home value was $125,000. Which of the following situations could explain the difference between the mean and median home values in the county?

What is the median number of siblings for all the students surveyed?

Based on the survey data, which of the following most accurately compares the expected total number of students with 4 siblings at the two schools?

A project manager estimates that a project will take x hours to complete, where x > 100. The goal is for the estimate to be within 10 hours of the time it will actually take to complete the project. If the manager meets the goal and it takes y hours to complete the project, which of the following inequalities
represents the relationship between the estimated time and the actual completion time?

Which of the following expresses the square of the distance from the radio antenna in terms of the intensity of the radio signal and the power of the
signal?

For the same signal emitted by a radio antenna, Observer A measures its intensity to be 16 times the intensity measured by Observer B. The distance of
Observer A from the radio antenna is what fraction of the distance of Observer B from the radio antenna?

Two samples of water of equal mass are heated to 60 degrees Celsius ( °C ). One sample is poured into an insulated container, and the other sample is
poured into a non-insulated container. The samples are then left for 70 minutes to cool in a room having  a temperature of 25°C . The graph above shows the temperature of each sample at 10-minute intervals. Which of the following statements correctly compares the average rates at which the temperatures
of the two samples change?

A coastal geologist estimates that a certain country’s beaches are eroding at a rate of 1.5 feet per year. According to the geologist’s estimate, how long will it take, in years, for the country’s beaches to erode by 21 feet?

If h hours and 30 minutes is equal to 450 minutes, what is the value of h ?

In one semester, Doug and Laura spent a combined 250 hours in the tutoring lab. If Doug spent 40 more hours in the lab than Laura did, how many hours did Laura spend in the lab?

a=18t +15
Jane made an initial deposit to a savings account. Each week thereafter she deposited a fixed amount to the account. The equation above models the
amount a, in dollars, that Jane has deposited after t weekly deposits. According to the model, how many dollars was Jane’s initial deposit? (Disregard
the $ sign when typing your answer.)

According to the formula, what will be the number of plants two years from now if K = 4000 ? (Round your answer to the nearest whole number.)

The botanist would like to increase the number of plants that the environment can support so that the population of the species will increase more rapidly. If the botanist’s goal is that the number of plants will increase from 3000 this year to 3360 next year, how many plants must the modified environment support?