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In the table above, if the sum of the numbers on each main diagonal is equal to the sum of the numbers in the four corners, what is the value of $$(p+q)-(x+y)$$?
$$n-r=8$$ and $$n^2-nr+r^2=78$$

Quantity A

$$nr$$

Quantity B

$$14$$


$$x \lt y \lt - 1 \lt d \lt 0$$

Quantity A

$$ x(y+d)$$

Quantity B

$$y(d+x)$$


$$x$$ and $$y$$ are even integers.

Quantity A

$$3(x-y)^4$$

Quantity B

$$9(x-y)^3$$




The figure above has the angle measures shown.

Quantity A

$$x+w$$

Quantity B

$$y+z$$


Quantity A

$$2^{50}+2^{50}+2^{50}+2^{50}$$

Quantity B

$$16^{13}$$


If $$x^-1+y^-1=0$$, then $$x^3/y^3=?$$
At a fruit market, the price of each peach is $$x$$ cents and the price of each plum is $$y$$ cents. If the total price of 4 peaches and 3 plums is equal to the total price of 7 peaches and 2 plums, which of the following statements must be true?
Indicate all such statements.
$$a=b+5$$ 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

$$h$$


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