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How many values of x are there such that x is an integer and |3x- 2| < 8?

The figure shows the design of a mosaic tile in which the four sides of the square are the diameters of four intersecting semicircles. Small blue stones are to be placed in the shaded regions and will cover 95 percent of the area of these regions. If each side of the square has length 2 feet, approximately how many square feet of the tile will be covered by the blue stones?
A research report states that the average (arithrmetic mean) of 120 measurements was 72.5, the greatest of the 120 measurements was 92.8, and the range of the 120 measurements was 51.6.
The information given above is sufficient to determine the value of which of the following statistics?
Indicate all such statistics.
Amy and Jed are armong the 35 people, who are standing in a line, one behind the other, waiting to buy movie tickets. The number of people in front of Amy plus the number of people behind Jed is 24. If there are 15 people behind Amy, including Jed, how many people are in front of Jed?

Quantity A

The greatest possible value of 3/(x-y) ,where 6≤x≤8 and 0≤y≤5

Quantity B

3



By approximately how many square miles did the area of the United States increase from 1800 to 1900?
In the xy-plane, the points P, Q, and S have coordinates (14, 10), (1, 0), and (6, 0), respectively. What is the area of triangular region PQS ?

The figure above represents a semicircular garden that is enclosed by 20 feet of fencing and a straight garden wall. What is the area, in square feet, of the garden?
The average (arithmetic mean)of x and z is greater than y, and x < y < z.

Quantity A

The average of x, y, and z

Quantity B

The median of x, y, and z


Quantity A

The least integer x that satisfies the inequality $$x^{3}$$ > - 30

Quantity B

-3



The dotted line segments separate the rectangular region into six identical smaller rectangular regions.

Quantity A

The area of triangular region WXV

Quantity B

The area of triangular region XYV


a≠0

Quantity A

a+1

Quantity B

(1/a)-1



Square FGHJ has sides of length x. Region FOJ is a sector of the circle with center F.

Quantity A

The area of the shaded region

Quantity B

$$\frac{x^{2}}{4}$$


Atotal of 1 ,500 boxes are stored in four warehouses. The number of boxes stored in the individual warehouses are x, y, z, and w, respectively, where w= 2x and z= 2y.

Quantity A

x+y

Quantity B

500



In the xy -plane, line segment RS is one of the sides of square RSTU (not shown).

Quantity A

The area of square RSTU

Quantity B

13


In the xy-plane, a line with equation y = mc + b,where m and b are constants and mb≠0, has a y-intercept that is twice the x-intercept.

Quantity A

m

Quantity B

-2


n is a positive integer.

Quantity A

$$\frac{1}{3^{n}}$$

Quantity B

$$3(\frac{1}{4^{n}})$$


In a certain club, the average (arithmetic mean) age ofthe 35 males is 24.2 years and the average age of the 25 females is 27.6 years.

Quantity A

The average age of all of the people in the club

Quantity B

25.9


Point O is the center of a circle with circumference 12.
Point P is another point inside the circle.

Quantity A

The greatest distance from P to a point on the circle plus the least distance from P to a point on the circle

Quantity B

4


xy > 0

Quantity A

$$x^{4}y^{3}$$

Quantity B

0


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