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题目内容
3x-2k=7

9x-6k=21

Quantity A

x

Quantity B

k
x=y-3

y=-x

Quantity A

y

Quantity B

2
(x-3)(x+3)=(2x-1)

Quantity A

x

Quantity B

2
The price of 3 roses and 3 tulips is 12 dollars, while the price of 2 roses and 4 tulips is 11 dollars. What is the price of a rose?
When randomly selecting out of 20 white and brown hamsters, the probability that white ones are selected is 0.2 more than the probability that brown ones are selected. What is the number of white hamsters?
The perimeter of a regular hexagon and a regular octagon is the same. If the side of the regular hexagon is 24 greater than that of the regular octagon, then what is the side of the regular octagon?
At a certain florist shop, each rose costs r dollars and each tulip costs t dollars. If 2 roses and 4 tulips cost a total of $11.00, and if 3 roses and 3 tulips cost a total of $12.00, how much does 1 rose cost at the shop?
In total, there are 5100 tickets A and B. Among them, the revenue of each ticket A and B is $30 and $50, respectively. If the total revenue of all the tickets is 205,000, then what is the revenue of all the tickets B?
If the total sum of 40 bills (either 2-dollar bills or 4-dollar bills) is $90, what is the probability that a 4-dollar bill is selected out of these bills?

Give your answer as a fraction.
On her walk today, Emma walked along a straight path between the entrance to her house, H, and the entrance to library, L, passing a crosswalk sign, J, and then a crosswalk sign, K. First Emma walked from H to J and then turned around and walked back from J to H. Then she walked directly from H to L, stopping briefly at J and K on her way. The total distance that Emma walked from H to J and back from J to H was $$\frac{2}{9}$$ of the distance that she walked directly from H to K and $$\frac{1}{6}$$ of the distance that she walked directly from H to L. If Emma walked a total of 420 meters during her walk today. what was the distance, in meters, that she walked from K to L?
k+$$\frac{1}{k}$$=3

Quantity A:k+$$\frac{1}{k^{2}}$$

Quantity B:k+$$k^{2}$$+k+$$\frac{1}{k^{3}}$$
A group of people plan to pay $240 for a facility and split the bill. If 2 of them drop the plan, then the rest of them need to pay $4 more each. How much do they need to pay each at first?
The equation $$x^{3}$$ - $$x^{2}$$-2x=0 has three different roots.

Quantity A

The product of the three roots

Quantity B

-2

Quantity A

The number of integers n such that -9 < 2n+1 < 15

Quantity B

11
For which of the following values of x is the inequality $$\frac{(x-4)^{4}(x+5)^{6}}{(x-2)^{10}}$$ ≤ 0 satisfied?

Indicate all such values.
Which of the following inequalities is equivalent to 3 ≤ x ≤ 4?
$$x \gt 0$$, $$y \gt 0$$, $$x^{2}+y^{2} \leq1$$

Which of the following must be true?

Indicate all such statements.
List L consists of the numbers $$1-\frac{1}{k}$$ for all integers $$k$$ from $$1$$ to $$100$$, inclusive. List M consists of the number $$1$$ and the numbers $$1-\frac{1}{k}$$ for all integers $$k$$ from $$1$$ to $$100$$, inclusive.

Quantity A

The average (arithmetic mean) of the numbers in list L

Quantity B

The average (arithmetic mean) of the numbers in list M
a and b are integers

Quantity A

$$\frac{a^{10}}{b^{10}}$$

Quantity B

$$\frac{a^{10}+5^{15}}{b^{10}+5^{15}}$$
A saltwater solution contains $$25$$ percent salt by weight. To $$1$$ kilogram of this solution, $$x$$ grams of salt and $$4x$$ grams of water are added , where $$x \gt 0$$.

Quantity A

The percent of salt in the resulting solution

Quantity B

$$25%$$

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