The dot plot above represents the distribution of values in dataset A. Which of the following statements must be true?

I. The range of dataset A is 12.

II. The median of dataset A is 6.

In triangles \(ABC\) and \(DEF\), angles A and D each have measure 68° and angles C and F each have measure 19°. Which additional piece of information is sufficient to determine whether triangle \(ABC\) is similar to triangle \(DEF\)?

The function \(f(x) = ax + 2 + c\,\) passes through the points (0, 4) and (−1, 2). What is the value of \(a + c\,\)?

If \(\dfrac{9x^2}{3x + 1} = \dfrac{1}{3x + 1} + B\), what is \(B\) in terms of \(x\)?

The scatterplot below shows the number of households with 3 cars from 2000 to 2010 in a small community.

Based on the line of best fit shown, which of the following values is closest to the average yearly increase in the number of households with 3 cars?

\(x^2 + y^2 = 185\)

\(x = −6y\)

If \((x, y)\) is a solution to the system of equations shown above, then \(y^2 =\)

\(f(x + 1) = 3(x + 2)\) for all values of \(x\). What is the value of \(f(−7)\)?

If the two roots of \(6x^2 + 6x = 12\) are \(r_1\) and \(r_2\), what is the product \(r_1 \cdot r_2\)?

\(3x + 2y = 6\)

\(7x + 4y = 9\)

Based on the system of equations above, what is the value of the product \(xy\)?

A librarian analyzed a random sample of 100 books borrowed from the library during spring break. Of those sampled, 35 books were young adult fiction. If a total of 2,000 books were borrowed during spring break, which of the following is the most appropriate conclusion?