#### 题目列表

$pq\neq0$

#### Quantity A

$(p+q)^{3}$

#### Quantity B

$p^{3}+q^{3}$

$\frac{y^{2}}{x^{12}}$ is an integer, y > x > 1.

#### Quantity A

$x^{2}$

#### Quantity B

$\sqrt{y}$

Let x, y, and z be non-zero numbers such that the average (arithmetic mean) of x and twice y is equal to the average (arithmetic mean) of y and twice z. What is the average (arithmetic mean) of x and y?
If$b=\frac{c+d^{2}}{c}$ and $\frac{c}{d^{2}}$ , what is b in terms of a ?
$\frac{1}{r}$ of a circular pizza has been eaten. If the rest of the pizza is divided into m equal slices, then each of these slices is what fraction of the whole pizza?

#### Quantity A

$(x+y)^{2}-2xy$

#### Quantity B

$x^{2}+y^{2}$

If $\frac{1}{y}$ < x < 0, then which one of the following must be true?
If A = q ? r, B = r ? s, and C = q ? s, what is the value of A ? (B ? C)?
x and y are both integers

xy

#### Quantity B

6 There are x red marbles, y blue marbles, and z yellow marbles in a sack. Three marbles are chosen at random, without replacements. If x, y, and z are all at least equal to 3, then which of the following must be true? Indicate all possible values.
The Lirr River runs from Rosedale in the west to Oceanside in the east with the current moving at an average of 10 miles per hour. Sasha is traveling by motorboat from Oceanside to Rosedale and back. If the water were not moving, Sashas motorboat would travel at an average speed of 20 miles per hour. Given the current, what was Sashas actual average speed, in miles per hour, for the round trip?_____
If $a^{\frac{2}{3}}=b^{\frac{2}{3}}$ for$a \neq 0 and b \neq 0$, then which of the following statements must be true?Indicate all possible values.
If 7 orchids cost d dollars, then how many dollars will 10 orchids cost at the same rate?
Point A is located on a number line. If point A is between x and y, which are the values on the same number line, and if 0 < x < y, which of the following could represent the position of point A on the number line?Indicate all possible values.
In the rectangle above, AB = x feet, BC = y feet, and AE = FC = 2 feet. What is the area of triangle DEF, in square feet? If integer a is divisible by both 3 and 14, which of the following must be true?Indicate all such statements.
Points A and B are separated by 50 miles on a straight road. Cyclist A leaves point A, heading toward point B, at a constant speed of 15 miles per hour. At the same time, cyclist B leaves point B, traveling toward point A, at a constant speed of 10 miles per hour. After how many minutes have elapsed will the two meet?_____
If x < y and 0 < x + y, which of the following must be negative? Indicate all possible values.
In ΔABC above, x < y + z. What is one possible value of x?_____ If p is a negative even integer and q is a positive odd integer, which of the following must be true?

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