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In the rectangular coordinate plane, how many points (x, y), where both x and y are integers, lie on the circle with center at (0, 0) and radius 5?
For how many of the 10 selected years was the number of United States residents in the age-group "65 years and older" greater than 14 million?
Of the 10 selected years, which had the greatest total number of United States residents in the combined age groups of "5 years and younger" and "65 years and older"?
Of the following which best describes how the number of United States residents that were in the age-group"5 years and younger"changed from 1900 to 1940?

Quantity A

The number of prime numbers between 4 and 15

Quantity B

The number of prime numbers between 16 and 30


The average (arithmetic mean) of the 4 numbers a, b, c, and d is 1.

Quantity A

a+b

Quantity B

4-(c+d)


The average (arithmetic mean) weight of the boxes in a certain shipment is 18 pounds. Each of the boxes in the shipment weighs either 10 pounds or 20 pounds.

Quantity A

The number of 20-pound boxes in the shipment

Quantity B

8


k and m are positive numbers such that $$k=2m^{2}-32$$

Quantity A

$$\frac{k}{m+4}$$

Quantity B

2(m-4)




a < 0 and b ≠ 0

Quantity A

|$$b^{2}+a$$|

Quantity B

|$$a-b^{2}$$|


q, r, and s are nonzero numbers.

q > r+s

r < s

Quantity A

q

Quantity B

s




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


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