1. What is the area, in square inches, of an equilateral triangle that has altitude of length 12 inches?

2. A bike rider leaves camp and travels 7 miles due north, then 3 miles due east, and then 3 miles due south. At this point, the rider stops to rest. What is the rider’s true distance from camp in miles?

3.
The shaded area of the preceding figure represents a triangular flower bed. A homeowner wants to put decorative bricks around the flower bed. One side of the flower bed is 10 feet long and makes a 45° angle with a walkway that runs east to west. A second side runs parallel to the east-west walkway, and the third side makes a 30° angle with the east-west walkway. What is the perimeter in feet of the flower bed?

4. Tess and Sunil join different fitness clubs. Tess joins a club that charges a one-time enrollment fee of $50 and $20 for each month of membership. Sunil joins a club that charges a one-time enrollment fee of $70 and $18 for each month of membership. After how many months of membership will Tess and Sunil have paid the same total amount?

5. A 30-ounce mixture contains cornmeal, wheat germ, and flaxseed by weight in the ratio 5:3:2, respectively. What is the number of ounces of flaxseed in the mixture?

6.
Which values of x are in the solution set of the preceding system of equations?

7. Violet inherited a gold and diamond pendant from her grandmother in 2010. In 2011, the value of the pendant decreased by 10%. Its value increased by 20% in 2012 and then decreased by 10% in 2013. How does the 2013 value of the pendant compare with its value in 2010?

8. Four people are to be seated in four identical chairs placed in a circle. How many different arrangements of the four people (relative to one another) in the four chairs are possible?

9. Two consecutive angles of a parallelogram have measures x – 30° and 2x + 60°. What is the measure of the smaller angle?

10. Two hundred people will attend a university fund-raiser if tickets cost $30 per person. For each $15 increase in ticket price, 25 fewer people will attend. What ticket price will yield the maximum amount of money for the university?

11. In a circle whose radius is 13 centimeters, a chord is 12 centimeters from the center of the circle. What is the chord’s length in centimeters?

12. A rectangular prism has the dimensions 4 centimeters by 3 centimeters by 12 centimeters as shown in the preceding figure. What is the length, in centimeters, of the diagonal

13.
| 2n + 1 | ≤ 6How many integers n satisfy the preceding absolute value inequality?

14. Which of the following sets of numbers could be the lengths of the sides of a right triangle?
I.7, 10, 13
II.
III.

15. The football coach at a certain midsized university earns more in salary than does the university’s basketball coach. The basketball coach’s salary represents what percent of the football coach’s salary?

16. What is the value of

17. A solution of water and sugar is 20% sugar by weight. After several weeks, some of the water evaporates so that the solution is 60% sugar by weight. What is the ratio of the initial weight of water to the final weight of water in the mixture?

18.
The preceding table shows selected values of the functions f and g. What is the value of g(f(4))

19. If 5 is one solution of the equation x² – 2x + k = 14, where k is a constant, what is the other solution?