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题目内容
$$a=b+5$$ and $$c=a+b$$ Which of the following expressions must be equal to $$b$$? Indicate all such expressions.
If $$(x-2)(x-5)=0$$, which of the following must be true?
What are the possible values of $$x^2+7x+8$$ if x satisfies the equation $$x^2+3x-4=0?$$ Indicate all such values.
If $$t > 0$$ and $$(2t)^2-5(2t)-14=0$$, what is the value of $$t$$? Give your answer as a fraction.
$$x^2+4x-5 > 0$$

Quantity A

$$x+4$$

Quantity B

$$5$$
Which of the following is equivalent to $$y^3 \lt y?$$
To convert temperature in degrees Celsius (C) to degrees Fahrenheit (F), one can use the formula $$F=9/5 C+32$$. If the value of $$2C+28$$ is used as an approximation of the value of $$F$$ when $$C=30$$, then the value of the approximation will be how many degrees Fahrenheit greater or less than the value of $$F$$?
In the xy-plane, the origin and the point $$(5, 6)$$ lie on line l. Which of the following points also lie on line l? Indicate all such points.
In the $$xy$$-coordinate system, the distance between the points $$(-3, 2)$$ and $$(5, t)$$ is $$10$$.

Quantity A

$$t$$

Quantity B

$$10$$

Quantity A

The sum of the coordinates of point P

Quantity B

$$0$$
In the $$xy$$-plane, the graphs of $$y=4-x^2$$ and $$y=-5x^2$$ intersect at how many points?
The sum of the measures of the interior angles of a pentagon is $$p$$ degrees, and the sum of the measures of the interior angles of a hexagon is h degrees.

Quantity A

$$p+180$$

Quantity B

$$h$$


Two sides of a regular hexagon are extended, forming an angle with degree measure $$x$$, as shown in the figure above. What is the value of $$x$$? $$x$$=______

Quantity A

$$x-y$$

Quantity B

$$y$$
In the triangle, if $$x=30$$, then all possible values of $$y$$ are the values between

Quantity A

$$at+sb$$

Quantity B

$$rc$$
The operation $$\diamond$$ is defined by $$x \diamond y=3x+5y$$ for all positive integers $$x$$ and $$y$$. If $$a$$ and $$b$$ are positive integers and $$a \diamond b=b \diamond a$$, what is the ratio of a to $$b$$?
If a sequence is defined by $$a_{n}=n(-1)^{n}$$ for all integers $$n$$ from 1 through 499, what is the sum of all the terms in the sequence?
In the figure above, the area of equilateral triangle ABC is $ 25\sqrt{3} $. What is the area of square ACDE?________

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