PSAT 8/9 Math Multiple-Choice Practice Test 2

1.

A line that contains the point (, 0) is graphed in the xy-plane above. Which of the following equations represents the line?

B. f(x) = –x – 2

D. f(x) = –x + 1

2.

Sarah’s parents tracked the amount of time she spent on homework as she grew up. The scatterplot above shows how the amount of time t, in hours, Sarah spent on homework in relation to her age a, in years. Which of the following equations best models this data, where 6 ≤ a ≤ 12?

3.

The xy-plane above shows a graph of the line y = tx – r, where t and r are constants. What is the value of r?

4.

If the graph of line n in the xy-plane above is represented by the equation y = mx + c, where m and c are constants, which of the following set of inequalities is true about m and c?

A.

B.

C.

D.

5.

The average cost of a gallon of gas from 2000 to 2007 is displayed in the line graph above. How much more did a gallon of gas cost in 2007 than in 2003, according to the line graph?

Questions 6-7 refer to the following information.
John was interested in the effect caffeine had on his reading speed and graphed the relationship between caffeine intake, in milligrams per hour, and his reading speed, in pages per hour, in the scatterplot below.

6. Based on the data John collected, over which of the following intervals is there a positive relationship between his caffeine intake, in milligrams per hour, and his reading speed, in pages per hour?

7. John wants to estimate what his reading speed would be, in pages per hour, if he were to consume 45 mg of caffeine in an hour. Using the trend that he observed between 40 and 60 milligrams per hour, which of the following is closest to the reading speed, in pages per hour, that John can expect?

8. A data set showing the relationship between two variables is graphed in the xy-plane to produce the scatterplot below. A line of best fit is generated and is shown on the graph.

How much greater is the y-value of the data point at x = 4 than the y-value of the best fit line at the same x-value?

9. V = πr²h

The formula for the volume, V, of a cylinder is given above, where r is the radius of the cylinder and h is the height of the cylinder. Which of the following gives the height of the cylinder in terms of its volume and radius?

B.

C.

D.

10. Jean calculates how much money she spends on her dog Patches, and the results are shown below.

Expenses for Patches

On top of these costs, Jean also pays an annual municipal licensing fee of $55. The cost, P, of caring for Patches for a given number of weeks, w, in the year can be calculated using the equation P = 55 + (20 + 30)w. When this function is graphed in the xy-plane, what does the slope represent?