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题目内容
$$r$$ is a positive integer, $$k=2r+1$$, and $$h=5k-3$$

Quantity A

The units digit of $$h$$

Quantity B

2
The function $$f$$ is defined by $$f(x)=\sqrt{x} - 2$$ for all numbers $$x\geq0$$. If $$f(f(v))=0$$ and $$v \geq 4$$, what is the value of $$v$$?
The function $$f$$ is defined for all integers $$n$$ greater than 2 by $$f(n)=(1)(2)(3)...(n-2)$$. That is, $$f(n)$$ is the product of the first $$n-2$$ positive integers. What is the value of $$\frac{f(9)}{f(8)}$$?
The function $$h$$ is defined by $$h(x)=10^{(x+1)}$$ for all integers $$x$$. Which of the following is equal to $$\frac{h(x+1)-h(x)}{3}$$ for all integers x??
An apple falls straight to the ground from a tree branch 8 meters above the ground. The apple`s height above the ground, $$t$$ seconds after it starts falling, is $$H$$ meters, where $$H=8-4.9t^{2}$$ and $$t$$ ≥ 0. How many seconds after the apple starts falling does it hit the ground?

Give your answer to the nearest 0.1 second.

_____seconds
Temperature C in degree Celsius and the corresponding temperature F in degrees Fahrenheit are related by the equation F=$$\frac{9}{5}$$C+32. At a certain time at a weather station, the temperature in degrees Fahrenheit was equal to $$\frac{1}{5}$$ of the temperature in degrees Celsius. What was the temperature in degrees Fahrenheit?

_____℉
The function f is defined by f(x) = 2x – 1 for all numbers x. If the function g is given by g(x) = 3 * f(2x - 1) + 2 for all numbers x, what is the value of g(2)?

g(2)=_____
If f(v)=$$\sqrt{v}$$-2 , f(f(v))=0, then v=?
The function f is defined for all numbers x by f(2x)=$$x^{2}$$-2x+8.

Quantity A

f(6)

Quantity B

12
a < 0

The operation △ is defined by $$n^{△}$$=$$(n-1)^{2}$$ for all numbers n.

Quantity A

$$\frac{(a+1)^{△}}{a^{2}}$$

Quantity B

1
$$n^{∇}$$=$$(n+1)^{2}$$

Quantity A

$$\frac{(a-1)^{∇}}{a^{2}}$$

Quantity B

1
The operation a¤b is defined for all numbers a and b by a¤b=a+3b+6. If c¤c=c, what is the value of c?
The operation  is defined by r s=12 $$r^{-1}$$(s+3) for all positive numbers r and s. If x 3=18, what is the value of x?
$$k^{θ}$$ represents the largest integer less than k.

Quantity A

$$8^{θ}$$+$$3.5^{θ}$$+$$(-6)^{θ}$$

Quantity B

3
The operation @ is defined by a@b=3a-2b for all integers a and b. If x and y are two integers such that x@y=17, which of the following could be the value of y?
x⭕️ y=$$\frac{1}{x}$$+$$\frac{1}{y}$$

Which of the following statements must be true? (m and h are both positive integers)

Indicate all such statements.
The operation is defined by x✸y=$$\frac{x^{2}}{y}$$+$$\frac{x}{y}$$ for all numbers $$x$$ and $$y$$, where $$y \neq 0$$. What is the value of $$(9✸ (-9))+((-9) ✸9)$$?


In the xy-plane, the equation of line RS is y=x-3

Quantity A

The area of triangular region RST

Quantity B

40
R and T are two different points in the xy-plane. The coordinates of R are (4, 5), and the slope of the line containing R and T is 3.

Quantity A

The x-coordinate of T

Quantity B

2


Which of the following shaded regions represents the set of all points $$(a, b)$$ in the xy-plane above such that $$(a+1, b+1)$$ is in quadrant Ⅰ? (Note that a point lies on axis is not in any quadrant)

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