#### Quantity A

$\sqrt{12}\over{\sqrt{5}-\sqrt{2}}$

#### Quantity B

$\sqrt{2}+\sqrt{5}\over{\sqrt{27}}$

$a+\frac{b}{c}\over{\frac{d}{c}}$

If the value of the expression above is to be halved by doubling exactly one of the five numbers a, b, c, d, or e, which should be doubled?
If x = 3a and y = 9b, then all of the following are equal to 2(x + y) EXCEPT
If 3 (r + s) = 7, then, in terms of r, s =
Sadie distributes her collection of paintings, giving one-third of the paintings to friends and selling half of the paintings. If she keeps the remaining paintings, what fraction of her collection does Sadie keep

_____
During a sale, a store decreases prices on all its scarves by 25 to 50 percent. If all of the scarves in the store originally cost $20, which of the following could be the sale price of a scarf? Indicate all possible values. #### Quantity A 12 percent of 35 #### Quantity B 35 percent of 12 #### Quantity A $\frac{2.6}{0.259}$ #### Quantity B 10 Towns A, B, C, and D are located on the map as shown. Towns A and B have 3,000 people each who support referendum R, and the referendum has an average of 3,500 supporters in towns B and D. #### Quantity A The average number of supporters of referendum R in the two southern-most towns #### Quantity B 2,500 A company paid$500,000 in merit raises to employees whose performances were rated A, B, or C. Each employee rated A received twice the amount of the raise that was paid to each employee rated C; each employee rated B received one-and-a-half times the amount of the raise that was paid to each employee rated C. If 50 workers were rated A, 100 were rated B, and 150 were rated C, how much was the raise paid to each employee rated A ?
The original price of an item at a store is 40 percent more than the price the retailer paid for it. To encourage sales, the retailer reduces the price of the item by 15 percent from the original selling price. If the retailer sells the item at the reduced cost, his profit is what percent of his cost

_____percent
Which of the following could be the degree measures of two angles in a right triangle?

Indicateallpossible values.
What is the perimeter of the figure above?
(a, 6) is a point (not shown) in Region I.

(–6, b) is a point (not shown) in Region II.

a

#### Quantity B

b

A piece of twine of length t is cut into two pieces. The length of the longer piece is 2 yards greater than 3 times the length of the shorter piece. Which of the following is the length, in yards, of the longer piece?
A circle with center D is drawn inside in a circle with center C, as shown. If CD = 3, what is the area of semicircle EAB ?
For the final exam in a scuba diving certification course, Karl has to navigate underwater from one point in a lake to another. Karl began the test at the boat and swam due south for 7 meters. He then turned due east and swam for x meters. When he surfaced, he was 25 meters from the boat. What is the value of x ?

_____meters

#### Quantity A

The circumference of a circular region with radius r

#### Quantity B

The perimeter of a square with side r

Triangle ABC is contained within a circle with center C. Points A and B lie on the circle. If the area of circle C is 25π, and the measure of angle C is 60°, which of the following are possible lengths for the legs of triangle ABC ?

Indicateallpossible values.

x

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