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$$a_{1}$$, $$a_{2}$$, $$a_{3}$$, ......, $$a_{n}$$, ......

The sequence of numbers shown is defined by $$a_{1}$$=4, $$a_{2}$$=5, and $$a_{n}$$=2$$a_{n-1}$$+$$a_{n-2}$$ for all integers greater than 2. Which of the following is a number in the sequence?
In the xy -plane, the graphs of the equations 2x -y = 4 and 3x+y =11 intersect at point (a, b).

Quantity A

a

Quantity B

b


Quantity A

The area of a rectangular region that has a perimeter of 20 inches

Quantity B

20 square inches




$$x^{-2}=4$$

Quantity A

|x|

Quantity B

$$x^{2}$$


x and y are integers.

4 ≤ x ≤ 13

4 ≤ y ≤ 13

Quantity A

The least possible value of $$\frac{3x-4}{y+7}$$

Quantity B

$$\frac{2}{5}$$




The sum of the x positive measurements in list A is equal to the sum of the y positive measurements in list B. The average (arithmetic mean) of the x measurements in list A is greater than the average of the y measurements in list B.

Quantity A

x

Quantity B

y


Three machines, working independently, can make a production lot of widgets in 4, 6, and 8 hours, respectively. If the machines work simultaneously at their respective uniform rates to make a single lot, what fraction of the lot will be made by the fastest machine?
If x and y are positive integers and x + y = 8x + 22, which of the following must be true?
At a constant rate of $$\frac{x}{6}$$ miles for every y seconds, how many minutes would it take an aircraft to travel z miles? (xyz ≠ 0)
Sam purchased two pictures from an artist and sold each of them for $540. If Sam sold one of the pictures for 20 percent more than he paid for it and sold the other picture for 10 percent less than he paid for it, what was Sam's total profit on the two pictures?
For which of the first five years shown was the total annual per capita consumption of coffee and ice cream combined closest to the annual per capita consumption of poultry?
The population of the United States was approximately 106 million in 1920 and approximately 249 million in 1990. Based on these population estimates, approximately how many million pounds greater was the total annual consumption of cheese in 1990 than in 1920?
Let a, b, and c represent the ranges of the annual per capita consumption of fresh vegetables, poultry, and ice cream, respectively, for the eight years shown. Which of the following statements is true?
After taking a quiz, 25 students each received a score on the quiz that was an integer from 1 to 10, inclusive. The average (arithmetic mean) of the 25 scores was 8.8. Only 1 student received the lowest score, and the sum of the 24 scores greater than the lowest score was 217. What was the range of the 25 scores?
If $$1 < r < s < t < 2$$, then, of the following, which is closest to $$r+(s*10^{6})+(t*10^{12})$$?
-3 < x < 7

Quantity A

x-2

Quantity B

6


At a certain sale, the price of a jacket was reduced by 5 percent and the price of a pair of slacks was reduced by 20 percent.

Quantity A

The dollar reduction in the price of the jacket

Quantity B

The dollar reduction in the price of the pair of slacks


Quantity A

The product of the positive prime factors of 30

Quantity B

The sum of the positive prime factors of 30


$$(3^{x})(3^{y})$$=1

Quantity A

x+y

Quantity B

1


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