The price of Kryptokoin over an 8 month period is shown in the illustration. Paul takes cash from his shoebox and buys 10 of the coins in April. Three months later he sells 5 of the coins, and in August he sells the remaining 5 coins. He puts the cash from each of these sales back in the shoebox.

Assuming no other cash was taken or added, by what amount has the cash in the shoebox increased?

\(2x + 4y = 16\)

\(3x − 6y = 12\)

If (\(x, y\)) is a solution to the system of equations above, what is the value of \(x + y\)?

If Eric was 22 years old \(x\) years ago and Shelley will be 24 years old in \(y\) years, what was the average of their ages 4 years ago?

Monthly Sales (in thousands of dollars)

A retail store tracks its monthly sales. The table above shows the sales figures for the first five months of the year. In June, the store made \(y\) thousand dollars in sales, which made the total sales for the first half of the year exactly double the sales from January through April. What is the value of \(y\)?

Type and Duration of Movies Playing at a Cinema Complex

The table above shows information about movies playing at a cinema complex last weekend. If one of these movies is selected at random, what is the probability that it is an animated movie with a runtime under 2 hours?

Function \(f\) is defined by \(f(x) = m^x+n\), where \(m\) and \(n\) are constants. In the \(xy\)-plane, the graph of \(y=f(x)+7\) has a \(y\)-intercept of \((0,1)\). The sum of \(m\) and \(n\) is \(−8\). What is the value of \(m\)?

The frequency of a set of 50 integers is summarized in the histogram shown. What is the difference between the greatest and the smallest possible means of the dataset?

A sphere with a diameter of 5 cm is being machined out of a cube that is just large enough to contain the inscribed sphere. If the sphere weighs 52 grams, which of the following best approximates the weight of material removed from the cube during the machining of the sphere?

Parallelogram QRST has an area of 120 and its longest side (QT) is 24. The angle opposite the vertical is 30°, and the vertical is from R to point U, which lies along QT. What is the length of the hypotenuse of Triangle QRU, rounded to the nearest whole number?

For triangle \(ABC\) shown below, what is its area rounded to the nearest tenth?