The equation above is true for all x, where a and b are constants. What is the value of ab ?
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| Beverage purchased | Beverage not purchased | Total | |
| Gasoline purchased | 60 | 25 | 85 |
| Gasoline not purchased | 35 | 15 | 50 |
| Total | 90 | 40 | 135 |
On Tuesday, a local gas station had 135 customers. The table above summarizes whether or not the customers on Tuesday purchased gasoline, a beverage, both, or neither. Based on the data in the table, what is the probability that a gas station customer selected at random on that day did not purchase gasoline?
Which of the following expressions is equivalent to ?
If for all positive values of x, what is the value of
?
A group of monarch butterflies migrated from Chicago, Illinois, to Michoacán, Mexico, flying a total of 2,100 miles. It took a single butterfly in the group 120 days to travel this route one way. On average, how many miles did the butterfly travel per day?
The data on the coat color and eye color for 48 Himalayan kittens available for adoption were collected and summarized in the table above. What fraction of the chocolate-colored kittens has deep blue eyes?
- Right triangle upper P upper Q upper R is labeled as follows:
- Angle upper R is a right angle.
- Right triangle upper S upper T upper U is labeled as follows:
- Angle upper U is a right angle.
- A note indicates the figures are not drawn to scale.
Right triangles and are similar, where corresponds to . If the measure of angle is , what is the measure of angle ?
The scatterplot shows the relationship between two variables, and . A line of best fit is also shown.
- The scatterplot has 10 data points.
- The data points are in a linear pattern trending down from left to right.
- A line of best fit is shown:
- The line of best slants down from left to right.
- 1 point is touching the line of best fit.
- 4 points are above the line of best fit.
- 5 points are below the line of best fit.
- The line of best fit passes through the following approximate coordinates:
- (2 comma 12)
- (8 comma 7)
- (13 comma 3)
Which of the following equations best represents the line of best fit shown?
Adam’s school is a 20-minute walk or a 5-minute bus ride away from his house. The bus runs once every 30 minutes, and the number of minutes, w, that Adam waits for the bus varies between 0 and 30. Which of the following inequalities gives the values of w for which it would be faster for Adam to walk to school?
If f is the function defined by , what is the value of
?
The scatterplot above shows the high temperature on a certain day and the elevation of 8 different locations in the Lake Tahoe Basin. A line of best fit for the data is also shown. What temperature is predicted by the line of best fit for a location in the Lake Tahoe Basin with an elevation of 8,500 feet?
The table above shows the number of students from two different high schools who completed summer internships in each of five years. No student attended both schools. Of the students who completed a summer internship in 2010, which of the following represents the fraction of students who were from Valley High School?
Which choice best describes data from the graph that support the students’ conclusion?
A total of 25 men registered for singing lessons. The frequency table shows how many of these singers have certain voice types. If one of these singers is selected at random, what is the probability he is a baritone?
- Clockwise from top left, the 3 lines are labeled s, q, and r.
- Line s intersects both line q and line r.
- At the intersection of line s and line q, 1 angle is labeled clockwise from top left as follows:
- Top right: 58°
- At the intersection of line s and line r, 1 angle is labeled clockwise from top left as follows:
- Top left: y°
- A note indicates the figure is not drawn to scale.
In the figure, line is parallel to line , and both lines are intersected by line . If , what is the value of ?
In the figure above, lines and m are parallel,
, and
. What is the value of x ?
In the figure above, ,
, and
are parallel. Points B and E lie on
and
, respectively. If
, and
, what is the length of
, to the nearest tenth?
What was the percent increase of the minimum wage from 1960 to 1970?
- The parabola opens upward.
- The parabola passes through the following points:
- (0 comma 0)
- (3 comma negative 12)
- (6 comma 0)
Scientists recorded data about the ocean water levels at a certain location over a period of hours. The graph shown models the data, where represents sea level. Which table gives values of and their corresponding values of based on the model?
The manager of an online news service received the report above on the number of subscriptions sold by the service. The manager estimated that the percent increase from 2012 to 2013 would be double the percent increase from 2013 to 2014. How many subscriptions did the manager expect would be sold in 2014?
A city has 50 city council members. A reporter polled a random sample of 20 city council members and found that 6 of those polled supported a specific bill. Based on the sample, which of the following is the best estimate of the number of city council members in the city who support the bill?
Pure beeswax has a density of 0.555 ounce per cubic inch. An online company sells pure beeswax at a price of $8.00 per ounce. What is the selling price, in dollars per cubic inch, for pure beeswax purchased from this company?
Which choice most effectively uses data from the graph to complete the text?
Data set A and data set B each contain 5 numbers. If the mean of data set A is equal to the mean of data set B, what is the value of x ?
The line graph shows the total amount of snow, in inches, recorded each year in Washington, DC, from 2003 to 2015. If is the percent decrease in the annual snowfall from 2003 to 2007, what is the value of p ?