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Quantity A

|a|

Quantity B

|b|


A flat rectangular garden has a diagonal that measures 10 feet. If the length of the garden is 3 times the width of the garden, which of the following is closest to the width of the garden, in feet?
In the xy-plane, line k passes through the point (1, 3). If the x-intercept is 2, which of the following is the equation of line k?
Emily bought 5 chairs -2 chairs for $46.95 each and 3 chairs for $49.95 each. She paid $$\frac{1}{3}$$ of the total cost, and during the next 5 months, she paid the remaining cost in 5 equal installments. How much was each of the 5 installments?

$_____


What is the range of all the weekly rental rates in the table?


A group of 10 couples plans to rent bayside summer houses on Island X from Realtor M for a certain week. The total rental cost for the houses will be evenly distributed among the 10 couples, and each couple will have their own bedroom. If Realtor M has at least three bayside summer houses of each type available that week, what is the least possible rental cost per couple?


If Realtor M`s inland summer houses on Island X generate a total weekly rental income of $8,800 when they are all rented, what is the greatest possible number of inland 4-bedroom summer houses that Realtor M can have?
In a certain town, the total number of inches of rainfall in the month of July for the five years from 2005 through 2009 were 3.8, 4.0, 2.6, 3.1, and x, respectively. If the median of the five rainfall totals was 3.1 inches, which of the following could be the value of x?

Indicate all such values.

$$\sqrt{(4+\sqrt{7})(8-\sqrt{28})}$$=
A circular region with positive diameter d has the same area as a square region with sides of length s.

Quantity A

d

Quantity B

s


In a sample of 45 people, 25 are married and 38 are homeowners. The least possible number of people in the sample who are married and homeowners is n.

Quantity A

n

Quantity B

18


1, 2, 3, ......, m

1, 2, 3, ......, n

The first sequence consists of m consecutive integers, and the second sequence consists of n consecutive integers, where m is even and n is odd.

Quantity A

The percent of integers in the first sequence that are odd

Quantity B

The percent of integers in the second sequence that are even




An experiment has five possible outcomes -- A, B, C, D, and E. The table shows the probabilities of three of the five outcomes. The probability of outcome C is twice the probability of outcome E.

Quantity A

The probability of outcome E

Quantity B

$$\frac{1}{9}$$


$$S_1$$, $$S_2$$, $$S_3$$,....., .$$S_k$$,......

The sequence shown is defined by $$S_1$$=5, and $$S_{k+1}$$=2$$S_k$$, for each positive integer k.

Quantity A

$$S_8$$

Quantity B

$${\frac{1}{2^{13}}}S_{21}$$


Each player in a certain chess tournament is categorized as either amateur or expert, and each player is given a rating as a number of points. The average (arithmetic mean) rating of the expert players is 2,050 points, and the average rating of all the players is 1,900 points. If $$\frac{3}{5}$$ of the players are expert players, what is the average rating of the amateur players?
If y=(x-2)(x-1)(x+ 1), which of the following graphs indicates all of the values of x for which y is positive?
On the first day of work for a certain task, $$\frac{1}{3}$$ of the work was completed. On the second day of work for the task, $$\frac{1}{4}$$ of the work that remained was completed. What fraction of all the work for the task remained to be completed after the second day?
In the xy-plane, a triangle has vertices (0, 3), (b, 3), and (0, 3b), where b is a constant. If the area of the triangle is 18. which of the following is a possible value of b?


Which of the following is closest to the median length of the time periods, in months, during which trees produced pollen in the six regions?


For approximately what fraction of Year X was pollen produced by both grasses and weeds in the Southwest?
1 2 ... 4 5 6 7 8 9 10 ... 13 14

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