Line l is graphed in the xy-plane above. If line straight ell is translated up 5 units and right 7 units, then what is the slope of the new line?

• $-\frac{2}{5}$

• $-\frac{3}{2}$

• $-\frac{8}{9}$

• $-\frac{11}{14}$

If   $a^2+14a=51$ and   $a>0$ . What is the value of  $a+7$  ?

 $x^2+y^2=5$ 

 $y=x^2-3$ 

 $x-y=1$  

A system of three equations and their graphs in the xy-plane are shown above. How many solutions does the system have?

• one

• two

• three

• four

The table below classifies 103 elements as metal, metalloid, or nonmetal and as solid, liquid, or gas at standard temperature and pressure. What fraction of all solids and liquids in the table are metalloids?

The figure above shows a metal hex nut with two regular hexagonal faces and a thickness of 1 cm. The length of each side of a hexagonal face is 2 cm. A hole with a diameter of 2 cm is drilled through the nut. The density of the metal is 7.9 grams per cubic cm. What is the mass of this nut, to the nearest gram? (Density is mass divided by volume.)

An international bank issues its Traveler credit cards worldwide. When a customer makes a purchase using a Traveler card in a currency different from the customer’s home currency, the bank converts the purchase price at the daily foreign exchange rate and then charges a 4% fee on the converted cost.

Sara lives in the United States, but is on vacation in India. She used her Traveler card for a purchase that cost 602 rupees (Indian currency). The bank posted a charge of $9.88 to her account that included the 4% fee.

What foreign exchange rate, in Indian rupees per one U.S. dollar, did the bank use for Sara’s charge? Round your answer to the nearest whole number.

If k is a positive constant different from 1, which of the following could be the graph of  $y-x=k(x+y)$ in the xy-plane?

• 
• 
• 
• 

In the xy-plane above, O is the center of the circle, and the measure of ∠AOB is  $\frac{\pi}{a}$ radians. What is the value of  $a$  ?

The figure above shows a regular hexagon with sides
of length a and a square with sides of length  $a$ . If
the area of the hexagon is  $384\sqrt{3}$   square inches,
what is the area, in square inches, of the square?

•  $256$  

•  $192$  

•  $64\sqrt{3}$  

•  $16\sqrt{3}$  

The distance traveled by Earth in one orbit around

the Sun is about 580,000,000 miles. Earth makes

one complete orbit around the Sun in one year. Of

the following, which is closest to the average speed of Earth, in miles per hour, as it orbits the Sun?

• 66,000

• 93,000

• 210,000

• 420,000