sat-dog

Two data sets of $23$ integers each are summarized in the histograms shown. For each of the histograms, the first interval represents the frequency of integers greater than or equal to $10$, but less than $20$. The second interval represents the frequency of integers greater than or equal to $20$, but less than $30$, and so on. What is the smallest possible difference between the mean of data set A and the mean of data set B?

One pound of grapes costs $2. At this rate, how many dollars will c pounds of grapes cost?

A random sample of 50 people from a town with a population of 14,878 were asked to name their favorite flavor of ice cream. If 7 people in the sample named chocolate as their favorite ice‑cream flavor, about how many people in the town would be expected to name chocolate?

The graph of the function $f$, where $y=f(x)$, gives the total cost $y$, in dollars, for a certain video game system and $x$ games. What is the best interpretation of the slope of the graph in this context?

Which choice best describes data from the graph that weaken the student’s conclusion?

On a 210-mile trip, Cameron drove at an average speed of 60 miles per hour for the first x hours. He then completed the trip, driving at an average speed of 50 miles per hour for the remaining y hours. If , what is the value of y ?

In a study of cell phone use, 799 randomly selected US teens were asked how often they talked on a cell phone and about their texting behavior. The data are summarized in the table above. If one of the 799 teens surveyed is selected at random, what is the probability that the teen talks on a cell phone daily?

Jeremy deposited x dollars in his investment account on January 1, 2001. The amount of money in the account doubled each year until Jeremy had 480 dollars in his investment account on January 1, 2005. What is the value of x ?

What is the solution to the given system of equations?

Which of the following points is the solution to the system of equations?

Which of the following is equivalent to the expression above?

In the expression  , p is a constant. This expression is equivalent to the expression . What is the value of p ?

Tanya earns $13.50 per hour at her part-time job. When she works z hours, she earns dollars. Which of the following expressions gives the amount, in dollars, Tanya will earn if she works hours?

Which of the following is a solution to the given equation?

Which of the following MUST be true?

1. Every member of team A completed the race in less time than any member of team B.
2. The median time it took the members of team B to complete the race is greater than the median time it took the members of team A to complete the race.
3. There is at least one member of team B who took more time to complete the race than some member of team A.

Which choice best describes data in the graph that support Ayalew and her colleagues’ hypothesis?

In the figure above, what is the length of ?

In the equation above, a is a constant and . If the equation has two integer solutions, what is a possible value of a ?

During a month, Morgan ran r miles at 5 miles per hour and biked b miles at 10 miles per hour. She ran and biked a total of 200 miles that month, and she biked for twice as many hours as she ran. What is the total number of miles that Morgan biked during the month?

From 2005 through 2014, the number of music CDs sold in the United States declined each year by approximately 15% of the number sold the preceding year. In 2005, approximately 600 million CDs were sold in the United States. Of the following, which best models C, the number of millions of CDs sold in the United States, t years after 2005?

The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?

What is the solution set of the equation above?

The graph of the function f, defined by , is shown in the xy-plane above. If the function g (not shown) is defined by , what is one possible value of a such that ?

The scatterplot above shows a company’s ice cream sales d, in dollars, and the high temperature t, in degrees Celsius (°C), on 12 different days. A line of best fit for the data is also shown. Which of the following could be an equation of the line of best fit?

Which choice most effectively uses data from the graph to complete the example?