PSAT 8/9 Math Multiple-Choice Practice Test 3

1. James joins a local billiards club. The club charges a monthly membership fee of $15 and each hour of play costs $1.50. Which of the expressions below shows James’s monthly cost at the billiards club when he plays for h hours?

2. Albert: t = 9h

Buster: t = 3h

The equations above show the number of trees, t, chopped per hour, h, by two lumberjacks, Albert and Buster. Based on these equations, which of the following statements is true?

3. The power P, in watts, of an electrical circuit can be calculated using the formula , where V is the voltage of the circuit, in volts, and R is the resistance of the circuit, in ohms. Assuming that the voltage does not change, what is the effect on the power when the resistance is multiplied by a factor of 2?

4. Research scientists are testing the effect of a new antibiotic on bacterial growth. They start with a colony of 1,500 bacteria and take counts every 10 minutes for an hour, as shown in the table below.

Bacterial Count Over Time Following Antibiotic Treatment

Which of the following represents the best interpretation of the y-intercept of the line created when these data points are plotted in the xy-plane if minutes, m, are plotted on the x-axis and number of bacteria, b, are plotted on the y-axis?

5. In the equation F = 5(g + 2) – 3, which of the following gives the value of g in terms of F?

A.

B.

C.

D.

6. What is the value of z given the equation 4(z + 3) – 6 = 5(z – 1)?

7. If and x ≠ –2, what is the value of x?

8. Which of the following is a solution to the equation p² + 20p + 75 = 0?

9. Gail’s homemade iced tea is a combination of green tea and raspberry purée. If the green tea and raspberry purée are in a ratio of 23 : 7, and a pitcher of iced tea can hold 900 mL, what is the amount of green tea, in mL, that Gail needs to make a pitcher of iced tea?

10. Which if the following is a solution to the equation

(x + 8) = 56?

11.

Chris is coating strawberries in chocolate for dessert. The table above displays 6 strawberries and their corresponding amounts of chocolate coating in grams (g). If Chris adds a 7th strawberry coated in chocolate, what is one possible value for the amount of chocolate coating that would decrease the mean of the data but increase the range?