The total area of a coastal city is 92.1 square miles, of which 11.3 square miles is water. If the city had a population of 621,000 people in the year 2010, which of the following is closest to the population density, in people per square mile of land area, of the city at that time?
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The equation above can be used to calculate the distance d, in miles, traveled by a car moving at a speed of 55 miles per hour over a period of t hours. For any positive constant k, the distance the car would have traveled after hours is how many times the distance the car would have traveled after
hours?
The table above shows some values of x and their corresponding values for the linear function f. What is the x-intercept of the graph of
in the xy-plane?
If , what is the value of x ?
Which choice most effectively uses data from the graph to complete the statement?
In the xy-plane above, points P, Q, R, and T lie on the circle with center O. The degree measures of angles and
are each 30°. What is the radian measure of angle
?
In the figure above, segments AE and BD are parallel. If angle BDC measures 58° and angle ACE measures 62°, what is the measure of angle CAE ?
- The center of the circle is point upper O.
- Points upper S, upper R, upper Q, and upper P are on the circle.
- Line segment upper P upper R is a diameter of the circle.
- Line segment upper Q upper S is a diameter of the circle.
- Diameters upper P upper R and upper Q upper S intersect at point upper O.
- A note indicates the figure is not drawn to scale.
The circle shown has center , circumference , and diameters and . The length of arc is twice the length of arc . What is the length of arc ?
- From left to right the values of the vertical bars in the box plot are as follows:
- First vertical bar: 2
- Second vertical bar: 4
- Third vertical bar: 5
- Fourth vertical bar: 7
- Fifth vertical bar: 8
The box plot summarizes data values. What is the median of this data set?
The volume of right circular cylinder A is 22 cubic centimeters. What is the volume, in cubic centimeters, of a right circular cylinder with twice the radius and half the height of cylinder A?
The equation is true for all
, where a and d are integers. What is the value of
?
- The side lengths are labeled as follows:
- a
- b
- c
- The angle opposite the side labeled c is a right angle.
- A note indicates the figure is not drawn to scale.
For the right triangle shown, and . Which expression represents the value of ?
Which of the following expressions is equivalent to ?
Ken is working this summer as part of a crew on a farm. He earned $8 per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salary to $10 per hour for the rest of the week. Ken saves 90% of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $270 for the week?
Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?
| 1 Star | 2 Stars | 3 Stars | 4 Stars | Total | |
| Employee A | 16 | 49 | 72 | 8 | 145 |
| Employee B |
4 |
10 | 22 | 34 | 70 |
| Employee C | 8 | 56 | 45 | 16 | 125 |
| Employee D | 22 | 42 | 84 | 12 | 160 |
| Total | 50 | 157 | 223 | 70 | 500 |
A supervisor at a call center reviewed 500 calls taken by four employees and rated the employees’ performance on each call on a scale from 1 star to 4 stars. The ratings for each employee are shown in the table above. According to the table, to the nearest whole percent, what percent of Employee A’s calls received a rating of 1 star?
Which of the following is equivalent to the sum of and
?
The expression above can be written in the form , where a and b are constants. What is the value of
?
The table above gives the values of the function f for some values of x. Which of the following equations could define f ?
To earn money for college, Avery works two part-time jobs: A and B. She earns $10 per hour working at job A and $20 per hour working at job B. In one week, Avery earned a total of s dollars for working at the two part-time jobs. The graph above represents all possible combinations of numbers of hours Avery could have worked at the two jobs to earn s dollars. What is the value of s ?
Which choice most effectively uses data from the graph to complete the text?
Each dot in the scatterplot above represents the temperature and the number of people who visited a beach in Lagos, Nigeria, on one of eleven different days. The line of best fit for the data is also shown. According to the line of best fit, what is the number of people, rounded to the nearest 10, predicted to visit this beach on a day with an average temperature of 32°C?
If the given expression is rewritten in the form , where k is a constant, what is the value of k ?
The equation above represents the speed y, in feet per second, of Sheila’s bicycle x seconds after she applied the brakes at the end of a ride. If the equation is graphed in the xy-plane, which of the following is the best interpretation of the x-coordinate of the line’s x-intercept in the context of the problem?
Points A and B lie on a circle with radius 1, and arc has length
. What fraction of the circumference of the circle is the length of arc
?