y≥0
Quantity A:$$(\sqrt{y+5}\sqrt{y})(\sqrt{y+5}+\sqrt{y})$$
Quantity B:5

In the xyplane, the graph of $$y=g_{(x)}$$ intersects the xaxis at 3 points.
Quantity A:The number of points at which the graph of $$y=g_{(x5)}$$ intersects the xaxis
Quantity B:3

m and n are positive integers.
n and n+2 are factors of m.
Quantity A:$$\frac{m}{n}$$
Quantity B:n+2

x>7,999
Quantity A:The digit in the thousands place of x
Quantity B:6

n is a negative integer, and p is a positive integer.
Quantity A:The product of the integers from n to p, inclusive
Quantity B:0

x percent of y is $$\frac{3}{4}$$ of z, where xyz≠0 .
Quantity A:$$\frac{xy}{z}$$
Quantity B:75

Quantity A:x
Quantity B:85

In the figure above, the circles centered at $$O_{1}$$ and $$O_{2}$$ have radii of equal length. If $$O_{1}O_{2}=9$$ and AB=3, what is the circumference of the circle centered at $$O_{1}$$ ?

If n is an integer, what is the least value of n for which $$4^{n}<\frac{1}{512}$$ ?

On the outside, a closed rectangular packing box, made out of cardboard, is 12 inches long, 18 inches wide, and 24 inches high. If the cardboard is $$\frac{1}{4}$$ inch thick, which of the following is closest to the volume inside the box, in cubic inches?

In the xyplane above, what is the area of quadrilateral OABC ?

The average (arithmetic mean) ages, in years, of the people in group A and group B are 41 and 36, respectively. The average age, in years, of the people in the two groups combined is 38. If there are no people in both group A and group B, what fraction of the people in the two groups combined are in group B?

How many integers n between 100 and 299 are there such that the hundreds digit of n is less than the tens digit of n and the tens digit of n is less than the units digit of n ?

What is the range of the average costs for the eight home remodeling projects listed?

In City X, the percent increase from 1997 to 1999 in the average cost of a deck addition was 45 percent, and the percent increase from 1994 to 1997 in the average cost of a deck addition was 26 percent. Which of the following expressions represents the average cost, in dollars, of a deck addition in City X in 1994 ?

For how many of the remodeling projects listed is the average return on the project when the home is sold less than 75 percent of the average cost of the project?

A grocery store had 105 pieces of fruit for sale consisting of apples, mangoes, and peaches.
Which of the following statements individually provide(s) sufficient additional information to determine the number of apples for sale at the grocery store?
Indicate all such statements.

Of the 36 students in a certain class, 10 are in the chess club and 13 are in the bridge club. If 20 of the students are not in either club, how many of the students are in only one of the two clubs?

x(x+3)(x5)>0
Which of the following inequalities specify values of x that satisfy the inequality above?
Indicate all such inequalities.

The figure shows a circle with center A and radius 10, and a circle with center D and radius 3. AD intersects the two circles at points F and E, respectively. Line is tangent to the two circles at points B and C, respectively. If the length of FE is 12, what is the length of BC ?
Length of BC:_____
