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$5a^{2}-37a-24=0$ What is the positive solution to the given equation?

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In the $xy$-plane, the $y$-coordinate of the $y$-intercept of the graph of the function $f$ is $c$. Which of the following must be equal to $c$ ?

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$\chi^$

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$\bm{f(x)=5,470(0.64)}^{\frac{1}{2}}$ The function $\bm{f}$ gives the value, in dollars, of a certain piece of equipment after $\bm{x}$ months of use. If the value of the equipment decreases each year by $\bm{p}\%$ of its value the preceding year, what is the value of $\bm{p}$?

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The product of two positive integers is 546. If the first integer is 11 greater than twice the second integer, what is the smaller of the two integers?

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$$f(x)=(x+6)(x+5)(x-4)$$ The function $f$ is given. Which table of values represents $y=f(x)-3$?

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Which expression is equivalent to $(2x^{2}-4)-(-3x^{2}+2x-7)$?

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The population $P$ of a certain city $y$ years after the last census is modeled by the equation below, where $r$ is a constant and $P_{y}$ is the population when $y=0$. $P=P_{0}(1+r)^{y}$ If during this time the population of the city decreases by a fixed percent each year, which of the following must be true?

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The expression $\frac{24}{6\pi+42}$ is equivalent to $\frac{4}{\pi+b}$, where $b$ is a constant and $x>0$. What is the value of $b$?

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**V2x + 6 + 4 = x + 3** What is the solution set of the equation above? **

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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?

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$(x+2)(x+3)=(x-2)(x-3)+10$ Which of the following is a solution to the given equation?

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In the expression $3(2x^{2}+px+8)-16x(\rho+4)$, $\rho$ is a constant. This expression is equivalent to the expression $6x^{2}-155x+24$. What is the value of $\rho$?

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** **$y^{2}+6x + 4$** Which of the following is equivalent to the expression above?

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$$\frac{14x}{7y}=2\sqrt{w+19}$$ The given equation relates the distinct positive real numbers $w$, $x$, and $y$. Which equation correctly expresses $w$ in terms of $x$ and $y$?

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$$f(x)=|59-2x|$$ The function $f$ is defined by the given equation. For which of the following values of $k$ does $f(k)=3k\pi$

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A model estimates that at the end of each year from 2015 to 2020, the number of squirrels in a population was 150% more than the number of squirrels in the population at the end of the previous year. The model estimates that at the end of 2016, there were 180 squirrels in the population. Which of the following equations represents this model, where $\bm{n}$ is the estimated number of squirrels in the population $t$ years after the end of 2015 and $\bm{t}\leq 5$?

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Immanuel purchased a certain rare coin on January 1. The function $f(x)=65(1.03)^{x}$, where $0\leq x\leq 10$, gives the predicted value, in dollars, of the rare coin $x$ years after Immanuel purchased it. What is the best interpretation of the statement "$f(8)$ is approximately equal to 82" in this context?

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$(-4x^{2}-7x=-36)$ What is the positive solution to the given equation?

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$14j+5k=m$ The given equation relates the numbers $j$, $k$, and $m$. Which equation correctly expresses $k$ in terms of $j$ and $m$?

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$2x^{2}-4x=t$ In the equation above, $t$ is a constant. If the equation has no real solutions, which of the following could be the value of $t$ ?

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$$f(x)=(x-14)(x+19)$$ The function $f$ is defined by the given equation. For what value of $x$ does $f(x)$ reach its minimum?

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$g(a)=x^{2}+55\$ What is the minimum value of the given function?

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**If $\chi\neq 0$, which of the following expressions is equivalent to $\chi^{3}$ ?**

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$$p=\frac{k}{4j+9}$$ The given equation relates the distinct positive numbers $p$, $k$, and $j$. Which equation correctly expresses $4j+9$ in terms of $p$ and $k$?

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