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If DC=x in the figure above, what is the perimeter of triangle ABD in terms of x?
If N is a positive integer, then the number of prime numbers between N+1 and N+6, inclusive, CANNOT be
On the number line, which of the following represents the solution set of the inequality $$x^{2}- 5x+6 ≤ 0$$?
Machines A and B each assembled 3,000 metal clips in 15 hours and 12 hours, respectively, working alone at their constant rates. On Monday, working simultaneously at their respective constant rates, the two machines assembled a total of n clips in x hours. The next day, machine A was modified so that its constant rate decreased by 25 percent. If the two machines worked simultaneously at their respective constant rates for x hours after the modification of machine A, then the total number of clips that they assembled in x hours was approximately what percent less than it was the day before?
Today is Willy and Jake's birthday. Willy is 6 years older than Jake. On their birthday 4 years from today, Willy's age will be twice Jake's age. What will Jake's age be on his birthday 4 years from today?
For the five expense categories shown, by how much did the greatest expense exceed the median expense?
If 75 percent of the company's revenue from consulting was for local projects and the rest was for national projects, approximately what percent of the company's total revenue was from consulting for national projects?
If the expense category Other were replaced by subdividing it into 4 different categories, approximately what would be the company's average (arithmetic mean) expense per category for all of the expense categories except Salaries and Benefits?
The range of the seven integers in a list is 12, and all of the integers are different. If the median of the seven integers is 86, what is the least possible integer in the list?


A banner is to be designed to have 3 regions of solid color, as shown. Colors can be repeated, but no 2 adjacent regions can have the same color. How many different designs are possible if the colors are chosen from blue, green, red, white, and yellow?
In the xy-plane, line j contains the points (-10, -5.5) and (-8, -3), and line k contains the points (18, -3.5) and (20, -3).

Quantity A

The slope of line j

Quantity B

The slope of line k
One-half the sum of y and z is 3x, and both y and z are greater than 0.

Quantity A

6x

Quantity B

y
k > 0

w < 0

Quantity A

$$\frac{6k}{8k}$$

Quantity B

$$\frac{3w}{4w}$$
In a normal distribution, the amount of the distribution that lies within 1 standard deviation of the mean is 68 percent, rounded to the nearest whole percent. A certain set of values is normally distributed with a mean of 81 and a standard deviation of 5. A value x will be randomly selected from the set.

Quantity A

The probability that x will be less than 76 or greater than 86

Quantity B

The probability that x will be between 81 and 86
Danny has a test average (arithmetic mean) of 75 on ten 100-point tests.

Quantity A

The least possible number of additional 100-point tests he must take to raise his cumulative average to 90

Quantity B

12
$$x^{4}y^{3} \gt 0$$

Quantity A

$$\frac{x+y}{x}$$

Quantity B

1


Three circles with radii of the same length have centers B, C, and D, respectively. The cirlces with centers B and D are tangent to each other at C.

Quantity A

The area of the shaded region

Quantity B

The sum of the areas of the unshaded regions inside the circle
If x+y=1, y+z=4, and x+z=9, then x+y+z=


The figure shows the standard normal distribution with probabilities, rounded to the nearest 0.01, indicated for six intervals.

The number of available vacation hours for 700 employees of a certain company is approximately normally distributed, with a mean of 80 hours and a standard deviation of 16 hours. According to the figure shown, approximately what percent of the 700 employees have less than 48 available vacation hours?

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