Extra Math Practice #151-155

$\begin{align*}2y+3&>x-2\\y-8&<2x-5\end{align*}$

Which of the following ordered pairs $(x,y)$ is in the solution set of the system of inequalities above?

A) $(-3,-1)$

B) $(-1,-4)$

C) $(4,-1)$

D) $(2,5)$

The circle with equation $(x-3)^2+(y+4)^2=9$ is plotted in the $xy$ -plane. Which of the following ordered pairs $(x,y)$ represents a point on the circle?

A) $\left(0,4\right)$

B) $\left(-3-\dfrac{3\sqrt{2}}{2},4+\dfrac{3\sqrt{2}}{2} \right)$

C) $\left(6,-1\right)$

D) $\left(\dfrac{3}{2},\dfrac{3\sqrt{3}}{2}-4\right)$

In the $xy$ -plane, the graph of $y=f(x)$ is a line. If $f(3)=8$ and $f(8)=3$ , which of the following is true?

A) $f(f(4))=4$

B) $f(0)=f(11)$

C) $f(-3)=-8$

D) $f(10)=-1$

$y\leq\dfrac{2}{3}x+2\\\\y\geq\dfrac{1}{3}x+5$

If $(a,b)$ is in the solution set for the system of inequalities above, what is the least possible value of $a+b$ ?

Because all the homework she assigns is online, a statistics professor is able to track how long her students spend on homework assignments. She plots that data for the month of February against the scores on an exam she gave at the end of February for one class of 21 students, as shown above. Which of the following is closest to the median score on the exam?

A)60

B)63

C)69

D)75