PSAT Math Multiple-Choice Practice Test 12

The use of a calculator is permitted.

1. Which of the following expressions is equivalent to 2(x - 5) + 3?

2. A small glass tube used in a scientific lab can hold no more than 8.50 milliliters of liquid needed for a certain experiment. Approximately how many teaspoons can the beaker hold? (1 teaspoon ≈ 4.93 milliliters)

3. Every fifteen minutes, a lab assistant can centrifuge 3 vials of blood. If she continues at this rate, how many vials of blood will she centrifuge in 4 hours?

4. A company that produces sports drinks wants to test the effects of its new electrolyte-infused water on athletic performance. One of the runners in the study drinks a bottle of the company's new water before his 1,500-meter run and keeps track of his speed throughout the run. The figure below graphs his speed, in meters per second, on the y-axis and the distance, in meters, along the x-axis.

Based on the graph, which of the following statements is true?

5. What is the value of if 10a = 13?

6. (x - 3)2 = 16

Which of the following values of x satisfies the equation above?

Questions 7-9 refer to the following information.

The table above shows the results of a survey of a random sample of 200 high school students. The students were asked to indicate the option that best represented their summer plans.

7. If one of the females is selected at random, what is the approximate probability that the student indicated volunteering as her summer plans?

8. How many males in the survey plan to either work a summer job, relax, or volunteer over the summer?

9. The high school has a total of 1,200 students. Based on the data in the table, what is the predicted number of female students in the entire school who would indicate travel as their summer plans?

10. Dana buys a shirt, a pair of shoes, and a purse at the store. Her bill is $81, and the shoes cost 25 percent more than the purse and shirt combined. How much were the shoes?

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