ARGUMENT In 2010 the National Governors' Association and the Council of Chief State School Officers presented national standards for math and Englishlanguage arts for students in kindergarten through high school. The federal government hopes states will use these standards instead of the varied state guidelines. But education is usually left to the states. Do you think a national approach is good or bad? Write a letter to your representative in Congress giving your view.

Set up an equation that can be used to solve the prob lem. Solve the equation and determine the desired value(s).
MODELING - Scholarship Donation Each year, Andrea Choi donates a total of $\$1000$ for scholarships at Mercer County Commun ity College . This year, she wants the amount she donates for scholarships for liberal arts to bethree times the amount she donates for scholarships for business. Determine the amount she will donate for each type of scholarship.

Determine which value best approximates the volume of the solid between the $x y$-plane and the function over the region. (Make your selection on the basis of a sketch of the solid and not by performing any calculations.) \

$$f(x, y)=x+y$$

$R$ : triangle with vertices $(0,0),(3,0),(3,3)$
(a) $\dfrac{9}{2}$ (b) $5$ (c ) $13$ (d) $100$ (e) $-100$

Solve each system using a graphing calculator capable of performing row operations. Give solutions with values correct to the nearest thousandth.

$$\begin{array}{c} 0.3 x+2.7 y-\sqrt{2} z=3 \\ \sqrt{7} x-20 y+12 z=-2 \\ 4 x+\sqrt{3} y-1.2 z=\frac{3}{4} \end{array}$$

Circle the BEST answer.
When performing 2-rescuer CPR on an infant
a Use the 2-thumb-encircling hands method for compressions
b Give 30 compressions followed by 2 breaths
c Check for a carotid pulse
d Give CPR if the heart rate is less than 100 beats per minute

Ben has been accepted into a 2-year culinary arts program at the Greenfield Career Institute. He has been approved for a $5,000 unsubsidized 10-year federal loan at 4.29%. He knows he has the option of beginning repayment of the loan in 2.5 years. He also knows that during this nonpayment period, interest will accrue at 4.29%. How much interest will Ben accrue during the 2.5-year nonpayment period?

An athlete performing the long jump tries to achieve the maximum distance from the point of takeoff to the first point of touching the ground. After the jump, rather than land upright, she extends her legs forward as in the photo. How does this affect the time in the air? How does this give the jumper a longer range?

Marco's Drama class is performing a play. He wants to buy as many tickets as he can afford. If tickets cost $\$2.50$ each and he has $\$14.75$ to spend, hw many tickets can he buy? (A) 4 tickets (B) 0 tickets (C) 6 tickets (D) 5 tickets

In this exercise, determine which value best approximates the length of the arc represented by the integral. (Make your selection on the basis of a sketch of the arc and not by performing any calculations.)

$$\displaystyle\int_0^2\sqrt{1+\left[\frac{d}{d x}\left(\frac{5}{x^2+1}\right)\right]^2} d x$$

$$2$$

Determine which value best approximates the volume of the solid generated by revolving the region bounded by the graphs of the equations about the y-axis. (Make your selection on the basis of a sketch of the solid and not by performing any calculations.) $y=2 e^{-x}, y=0, x=0, x=2$ (a) $\frac{3}{2}$, (b) $-2$, (c) $4$, (d) $7.5$, (e) $15$

Prescriptions for vision correction are given in units called diopters (D). Determine the meaning of that unit. Obtain information (perhaps by calling an optometrist or performing an internet search) on the minimum uncertainty with which corrections in diopters are determined and the accuracy with which corrective lenses can be produced. Discuss the sources of uncertainties in both the prescription and accuracy in the manufacture of lenses.

Consider the overall effects on Global Cleaning Service from selling and performing services on account for $6,400 and paying expenses totaling$2,500. What is Global Cleaning Service's net income or net loss?

• a. Net income of $3,900
• b. Net loss of$3,900
• c. Net income of $6,400
• d. Net income of$8,900

In this exercise, determine which value best approximates the length of the arc represented by the integral. (Make your selection on the basis of a sketch of the arc and not by performing any calculations.)

$$\displaystyle\int_0^2\sqrt{1+\left[\frac{d}{d x}\left(\frac{5}{x^2+1}\right)\right]^2} d x$$

$$5$$

In this exercise, determine which value best approximates the length of the arc represented by the integral. (Make your selection on the basis of a sketch of the arc and not by performing any calculations.)

$$\displaystyle\int_0^{\pi / 4} \sqrt{1+\left[\frac{d}{d x}(\tan x)\right]^2} d x$$

$$\dfrac{4\pi}{3}$$