On a certain street there are 7 houses. The value of each of these houses is provided in the table below. An 8th house is being added on the same street and will have a value in excess of $255,000.

What is the lowest value that this new home can have such that the mean of all 8 house values will be greater than or equal to the median of the 8 house values?

What is the value of \(a + b \,\)?

A movie theater charges $11.50 for an Adult ticket and $9.75 for a Child ticket. The theater offers a 20% discount on all tickets whenever 10 or more tickets are purchased together.

Brenda spent $95.60 total buying tickets for her group. Seven (7) of the tickets she purchased were Adult tickets. How many Child tickets did she purchase?\(\)

In a recent survey of two popular best-selling books, two-fifths of the 2,200 polled said they did not enjoy the second book, but did enjoy the first book. Of those, 40% were adults over 18.

If three-eighths of those surveyed were adults over 18, how many adults over 18 did NOT report that they enjoyed the first book but not the second book?

The diameter of a circle is increased by 80%. By what percent is the area increased?

At a research lab, the current ratio of scientists to engineers is 5:1. The lab is considering a plan where 75 new team members would be hired in the ratio of two engineers per scientist, which would change the ratio of scientists to engineers to approximately 2:3.

Approximately how many scientists currently work at the research lab?

In the coordinate plane, line \(m\) passes through the origin and has a slope of \(3\). If points \((6, y)\) and \((x, 12)\) are on line \(m\), then \(y − x = \; ?\)

If the function \(f(x)\) is defined for all real numbers by the following equation: \(f(x) = \dfrac{x^2 + 2}{2}\)

Then \(f(f(2)) = \)

If \(a = \frac{-1}{b}\) and \(c = \frac{1}{d}\) for integers \(a, b, c\) and \(d\), in which of the following ranges does the product \(abcd\) fall?

If \((x)^{-1} = -\frac{1}{2}\) then \((x)^{-2}\) equals which of the following?