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题目内容
If $$-7 \leq x \leq 5$$ and $$-5 \leq y \leq 3$$, then the maximum value of $$x^2-y^2$$ is
What is the greatest number that can be expressed as a product of four different integers, where each of the integers is between $$-7$$ and $$6$$, inclusive?


$$AC$$ is a diameter of the circle

Quantity A

$$(AB)^2+(BC)^2$$

Quantity B

$$(AD)^2+(DC)^2$$


Quantity A

The average (arithmetic mean) of the biology test scores for the $$3$$ classes combined

Quantity B

$$70$$
In the xy-plane, which of the following is the x-intercept of the line whose equation is $$y = \frac{x}{4} -3$$ ?
If $$x$$ and $$y$$ are integers, where $$10 \lt x \lt 80$$ and $$100 \lt y \lt 900$$, what is the greatest possible value of $$y - x$$ ?
$$a_1, a_2, a_3, ..., a_n, ...$$
The $$n$$th term of the sequence shown is $$a_n= \frac{n}{5}-12$$ for all integers $$n \geq 1$$

Quantity A

The least value of $$n$$ such that $$a_n \gt 0$$

Quantity B

$$50$$
If $$-1 \lt x \lt y \lt 0$$, which of the following shows $$x+y, xy$$, and $$xy^2$$ in increasing order?
The price of n nails is d dollars. At this rate, what is the price of $$n+600$$ nails, in dollars?
List $$L$$ consists of $$9$$ different numbers, all of which are positive integers. The median of the numbers in $$L$$ is $$11$$. What is the least possible average (arithmetic mean) of the numbers in $$L$$?
$$x \gt 8$$

Quantity A

$$(5+x)(8-x)$$

Quantity B

$$0$$
$$rst \neq 0$$

Quantity A

$$(-r)(-s)(-t)$$

Quantity B

$$(r)(-s)(-t)$$
If $$c^3d^2 \lt 0$$, which of the following statements must be true?
Indicate all such statements.
$$x$$ and $$y$$ are integers.
Which of the following statements individually provide(s) sufficient additional information to conclude that $$x$$ is negative?
Indicate all such statements.
$$ab^4 \lt 0$$

Quantity A

$$a^3b^2$$

Quantity B

$$0$$
$$r^2t \lt 0$$ and $$r \lt 0$$
Which of the following must be a positive number?
Indicate all such numbers.
$$a$$ and $$b$$ are negative, and $$(a+b)(a-b) \lt 0$$.

Quantity A

$$a$$

Quantity B

$$b$$
If $$x=y$$, which of the following must be positive?

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