PSAT 8/9 Math Multiple-Choice Practice Test 7

1. The equations below show the total number of cars, t, that have passed through two intersections after d hours of daylight.

Intersection X: t = 450d

Intersection Y: t = 150d

Which of the following statements is an accurate comparison based on the equations?

Questions 2-4 refer to the following information.
Maria plans to purchase a new cell phone for her existing data plan. The cell phone will have a 6.5% sales tax on the purchase price, plus a flat fee of $20 for the phone charger. She has already used 2 Gigabytes of data this month, and her limit is 7 Gigabytes. Maria uses data for 2 hours each day and uses 0.25 Gigabytes for each of those hours. She will use the equation , where m is the number of minutes of power and n is the number of kilowatt-hours of electricity, to determine her charge efficiency, p.

2. Which of the following formulas can Maria use to determine the number of kilowatt-hours of electricity she needs to power her cell phone for a certain number of minutes?

B.

C.

3. Maria can use which of the following inequalities to model the number of days, d, she can use her phone before she hits or goes over her limit of 7 Gigabytes?

4. Including the flat fee for the phone charger and the sales tax, Maria will need to pay a total of $685.72 for the cell phone. How much is the purchase price of the cell phone, to the nearest dollar?

5. A new video game is being tested by a focus group. A group of researchers randomly selected people to evaluate, on a check system, the game they just played. The results of the evaluation are shown in the table below.

Video Game Evaluations

A total of 240 people played the video game. Based on the results of the evaluations, about how many people who played the video would have evaluated it as a √+ or higher?

6. The following data represents the shoulder heights in meters (m) of 7 elephants that live in a local zoo.

An additional elephant is added to the zoo, and its shoulder height is measured. Its shoulder height increases the median value of the group of elephants but decreases the mean value of the group. What is a possible measurement for the shoulder height of the 8th elephant?

Questions 7-8 refer to the following information.
Scientists say the ability to run fast helps animals outrun predators and catch prey. The table below shows the distance, in kilometers, covered in 10 minutes (min) of running for several mammals from Africa.
Average Speeds of African Mammals
Animal
Distance covered in 10 min of running
African wild dog
12 km
Cheetah
18 km
Elephant
7 km
Giraffe
9 km
Lion
14 km
Zebra
11 km

7. In a stampede, a lion ran for 20 min, a cheetah ran for 10 min, an African wild dog ran for 10 min, and a zebra ran for 40 min. What is the total distance, in meters, that was covered by the animals?

8. Which of the following mammals covers a distance closest to the combined distance covered by a cheetah running for 15 min and a giraffe running for 5 min?

9.

The xy-plane above shows line f. For constants r and s, the equation y = rx + s represents line f. Which of the following sets of inequalities is true about r and s?

A.

B.

C.

D.

10. Ms. Burke is growing tomatoes on a vine. She plants a starter plant with a height of 6 inches and estimates the height of the vine after each day for 6 days, as shown in the table below.

Height of Vine after Each Day of Growth

If the line passing through the points defined in the table is graphed on an xy-plane, which of the following is the best interpretation of the slope in the context of the problem?

11. A teacher estimates that 1.5% of the district’s students have red hair. Which of the following is the closest to the total number of students with red hair if there are approximately 350 students per school in the 9 different schools in the district?