Chapter 1

Juliet is selling photographs as part of a project for her entrepreneurship class. She sells the first 20 photographs for $\mathrm{\$}10$ each. Because the first 20 photographs sold so quickly, she raised the price of the photographs to $\mathrm{\$}15$ each for the rest of the project. After her expenses, Juliet earns a profit of $80\mathrm{\%}$ of the revenues from her sales. What is the least number of photographs she must sell for the rest of the project to earn a profit of at least $\mathrm{\$}400$ ? A) 18 B) 20 C) 24 D) 32 $$\frac{p^{\frac{1}{4}}{q}^{-3}}{p^{-2}{q}^{\frac{1}{2}}}$$

Andrew works out for 30 minutes every other day. If he spends $35\mathrm{\%}$ of his workout time one day waiting for the weight rack, how many seconds of that day's workout did he spend waiting for the weight rack? A) 630 B) 35 C) 21 D) $10.5$

The graph of function $g$ in the $xy$-plane is a parabola defined by $g(x)=$ $(x-2)(x-4)$. Which of the following intervals contains the $x$ coordinate of the vertex of the graph? A) \(6

A) NO CHANGE B) commonplace, C) commonplace D) commonplace—

If the expression $\frac{1}{2}(x+c)(x-c)$, where $c$ is a positive constant, can be rewritten as $\frac{1}{2}{x}^2-5$, what is the value of $c$ ? A) $\sqrt{5}$ B) $\sqrt{10}$ C) 5 D) 10

Ten floorboards with equal widths laid down side-to-side cover a width of approximately $7\frac{3}{4}$ feet. At this rate, which of the following is the closest to the number of boards laid side-to-side needed to cover a width of 32 feet? A) 15 B) 20 C) 30 D) 40

Which of the following is equivalent to $\frac{z^2+7z-3}{z+2}$ ? A) $z+5-\frac{13}{z+2}$ B) $z+5-\frac{7}{z+2}$ C) $z+9-\frac{21}{z-2}$ D) $z+9-\frac{15}{z-2}$

Which choice best establishes the argument that follows? A) NO CHANGE B) companies should place restrictions on the types of courses employees can be reimbursed for. C) taking classes while working spreads employees too thin, resulting in lower productivity. D) an employee may use the benefit to seek a position at a different company.

In the figure above, what is the value of $a$ ? A) 40 B) 60 C) 100 D) 130 $$y=-75x+5,000$$