#### 题目列表

2x+3y=1

4x-y=2

The respective equations of lines k and m in the xy-plane are shown above.

#### Quantity A

The x-coordinates of the point of intersection of lines k and m

#### Quantity B

The y-coordinates of the point of intersection of lines k and m

The retail price of a certain skirt was x percent greater than its wholesale price, where 20 ≤ x ≤ 80. The discount price of the skirt was x percent less than its retail price.

#### Quantity A

The wholesale price of the skirt

#### Quantity B

The discount price of the skirt

When the positive integer n is divided by 3, the remainder is 1.

#### Quantity A

The remainder when n is divided by 5

#### Quantity B

2

Ted sold two houses. He sold one of the houses for a profit of 20 percent of its purchase price, and he sold the other house for a loss of 20 percent of its purchase price. If the selling price of each house was $192,000, by what amount did the sum of the purchase prices of the two houses exceed$384,000?

If one Corporation R restaurant is to be randomly selected from those in the southeast region, what is the probability that the restaurant selected will be located in a city with a population under 50,000?

For the twelve categories in the table, which of the following is closest to the median number of restaurants?

To conduct a review, the manager of Corporation R restaurants in the northwest region must form a group of Corporation R restaurants by choosing one restaurant from each of the 3 city population categories in the northwest region. Which of the following represents the number of different groups of restaurants that can possibly be chosen for the review?
$2^{-9}$-$2^{-10}$=
If x is the average (arithmetic mean) of 10 and y, and y is the average of x and 22, which of the following statements are true?

Indicate all such statements.
A certain data set consists of n values, and the mean of the values is positive. If an additional value equal to 70 percent of the mean is included in the data set to create a new data set, then the mean of the values in the new data set will be 2 percent less than the mean of the values in the original data set. What is the value of n?
A candy shop owner decides to create a mixed assortment of candies by mixing two kinds of candies. One kind costs the owner 90 cents per pound, while another costs the owner 70 cents per pound. If the mixed assortment of candies costs the owner 85 cents per pound, and 30 pounds of 90 cents kind is used in the process, then what is the total pounds of mixed candies that can be created?
x > y > z

xy

yz

y-x

#### Quantity B

10

There is an octahedral (8-faces) die whose faces each have one different number from the set {1, 2, 3, 4, 5, 6, 7, 8}. The die is rolled twice, and the number appearing on top after the first roll is recorded as the x-coordinate of a point A, while the number appearing on top after the second roll is recorded as the y-coordinate of the point A. What is the total number of all the possible points A that can be created?
Last week painter A started a job on Tuesday, completing $\frac{1}{5}$ of the job that day, and on Wednesday another printer B completed $\frac{1}{6}$ percent of the job that remained.

#### Quantity A

The fraction of the job that was not completed by the end of the day last Wednesday

#### Quantity B

$\frac{2}{3}$

0 < s < t

#### Quantity A

$\frac{s}{t}$+0.4

#### Quantity B

$\frac{5s+2t}{5t}$

The average (arithmetic mean) of the 4 integers q, r, s, and t is 0.

#### Quantity A

The average of the 4 integers q+10, r, s, and t

#### Quantity B

The average of the 5 integers q, r, s, t, and 10

Point O and point X are the centers of the two circles in the figure. If the length of arc PSX is 6π, what is the circumference of the circle with center O?

The design shown in the figure consists of squares and is created in several steps. In the first step, a square measuring 1 inch on each side is drawn. In the second step, a 1-inch-wide border is drawn around the square, creating a larger square. In each subsequent step, a 1-inch-wide border is drawn around the largest existing square. What is the number of steps that will be needed in order to create a design in which the largest existing square measures 47 inches on each side?

_____ steps
n, k and r are all positive integers

If $n^{k}$=10r+3, then n could be?

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