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题目列表

题目内容
How many integers from 1 to 2,000, inclusive, are both the square of an integer and the cube of an integer?
x, n and k are all integers, 0 < x < $$10^{7}$$, x=$$n^{k}$$

If the units digit of x is 5, and x could be transformed into both the square of an integer and the cube of an integer, then x must be?
The result of $$\sqrt{570}$$ ÷ $$\sqrt{7}$$ is closest to which of the following?
If $$\sqrt{108}$$ =$$a\sqrt{b}$$, where $$a$$ and $$b$$ are both positive integers, which of the following could be the value of a+b?

Indicate all such numbers.
x> $$\sqrt{5}$$

Quantity A

3x

Quantity B

$$\sqrt{45}$$
If 3x+4=5x-6, then what is the value of x ?
If 2x=3y=4z=20, then 12xyz=
If 2x+y=5 and 3x+2y=8, then what is the value of 4x+3y?
The system of equations has how many solutions?

3x-6y=9

2y-x-3=0
$$x^{2}$$ = x

Quantity A

$$3^{x}$$

Quantity B

$$3^{-x}$$
6a+7b+8c=117

8a+7b+6c=121

For the system of equations shown, what is the value of a+b+c?

Solve the equation $$x^{3}$$-2$$x^{2}$$-5=$$x^{2}$$(x+3+10$$x^{-1}$$), and the solution is x=
What is the sum of all possible solutions to the equation below?

$$\sqrt{2x^{2}-x-9}$$ =x+1
How many ordered pairs of positive integers (x, y) satisfy the inequality 2x+3y < 10?
$$x$$ and $$y$$ are real numbers and $$x+y \gt 1$$

Quantity A

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

Quantity B

$$1$$
n is an integer, and k is not an integer.

0 < k < n < k+2

Quantity A

n

Quantity B

k +1
z=x+2y

If x stands for integers from 30 to 39, inclusive, and y stands for integers from 20 to 29, inclusive, then the tens digit of z could be?

Indicate all such possible values.
If x + y ≠ 0, which of the following is a solution to the inequality below?

Indicate all such pairs.

$$\frac{x^{2}-y^{2}-1}{x+y}$$ > $$\frac{-1}{x+y}$$
1 < $$x$$ < 2

Quantity A

$$x$$ +$$x^{-1}$$

Quantity B

2
x > 0, y > 0

Quantity A

$$\sqrt{xy}$$

Quantity B

$$\frac{x+y}{2}$$

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