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$(4x^{3}-5x^{2}+3)-(6x^{3}+2x^{2}-x)$ Which of the following expressions is equivalent to the expression above? $\mbox{

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What value of $x$ satisfies the equation above?

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$\{2x+3\}-\{3x-5\}$ Which of the following is equivalent to the expression above? $\bullet$

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The equation $E(t)=5{(1.8)}^{t}$ gives the estimated number of employees at a restaurant, where $t$ is the number of years since the restaurant opened. Which of the following is the best interpretation of the number 5 in this context?

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$$6x^{2}+5x-7=0$$ What are the solutions to the given equation? $$x=-5+\sqrt{25+168}$$

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The function $p$ is defined by $p(n)=7n^{3}$. What is the value of $n$ when $p(n)$ is equal to 56?

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$((2x+3)-(x-7))$ Which of the following is equivalent to the given expression?

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$y=x^{2}+3x-f$ $y-5x+8=0$ How many solutions are there to the system of equations above?

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Which of the following is equivalent to $(1-p)(1+p+p^{2}+p^{3}+p^{4}+p^{5}+p^{6})$?

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$(2x^{3}+3x)(x^{3}-2x)$ Which of the following is equivalent to the expression above?

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$x=8$ $y=x^{2}+8$ The graphs of the equations in the given system of equations intersect at the point $(x,y)$ in the $xy$-plane. What is the value of $y$?

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$\mbox{\boldmath${a}$}^{2}-40x-10=0$ What is the sum of the solutions to the given equation?

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If $q=c+d$, which of the following is equivalent to the expression $\chi^{2}-c^{2}-2cd-d^{2}$?

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Function $f$ is defined by $f(x)=(x+6)(x+5)(x+1)$. Function $g$ is defined by $g(x)=f(x-1)$. The graph of $y=g(x)$ in the $xy$-plane has x-intercepts at $a,0$, $b,0$, and $c,0$, where $a$, $b$, and $c$ are distinct constants. What is the value of $a+b+c$?

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$y=x^{2}$ $2y+6=2(x+3)$ If $\{x,y\}$ is a solution of the system of equations above and $x>0$, what is the value of $xy$ ?

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$\nu^{2}=\frac{LT}{m}$ The formula above expresses the square of the speed $\nu$ of a wave moving along a string in terms of tension $T$, mass $m$, and length $L$ of the string. What is $T$ in terms of $m$, $\nu$, and $L$ ? $T=\frac{m\nu^{2}}{L}$ $T=\frac{m}{\nu^{2}L}$ $T=\frac{mL}{\nu^{2}}$ $T=\frac{L}{m\nu^{2}}$

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$\begin{tabular}{|c|c|} \hline $\chi$ & $f\left(\chi\right)$ \\ \hline 0 & 5 \\ \hline 1 & $\frac{5}{2}$ \\ \hline 2 & $\frac{5}{4}$ \\ \hline 3 & $\frac{5}{8}$ \\ \hline \end{tabular}$ The table above gives the values of the function $f$ for some values of $x$. Which of the following equations could define $f$ ?

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Which of the following is equivalent to the sum of $3x^{4}+2x^{3}$ and $4x^{4}+7x^{3}$?

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A company opens an account with an initial balance of $36,100.00. The account earns interest, and no additional deposits or withdrawals are made. The account balance is given by an exponential function $A$, where $A(t)$ is the account balance, in dollars, $t$ years after the account is opened. The account balance after 13 years is $68,071.93. Which equation could define $A$?

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Which of the following expressions is \[\begin{array}{c}\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par \par\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par \par\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par\par \par\par

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The equation $\frac{x^{2}+6x-7}{x+7}=\alpha x+d$ is true for all $x\neq-7$, where $a$ and $d$ are integers. What is the value of $a+d$?

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A quadratic function models the height, in feet, of an object above the ground in terms of the time, in seconds, after the object is launched off an elevated surface. The model indicates the object has an initial height of **10** feet above the ground and reaches its maximum height of **1**,034 feet above the ground 8 seconds after being launched. Based on the model, what is the height, in feet, of the object above the ground **10** seconds after being launched? ### **234** ### **778** ### **970**

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The area $A$, in square centimeters, of a rectangular painting can be represented by the expression $w(w+29)$, where $w$ is the width, in centimeters, of the painting. Which expression represents the length, in centimeters, of the painting? ### $w$ ### $w$ ### $w+29$

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Which expression is equivalent to $\left(2x^{2}+x-9\right)+\left(x^{2}+6x+1\right)$?

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