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$$x^2+4x-5 > 0$$

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 $$F=\frac{9}{5}C+32$$. 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 $$b$$?
The effects of sea-level rise that followed the last ice age were not _____________ since they were dependent on local and regional tectonic and other geological effects.
Archaeologists agree that corn agriculture, first developed by Native American peoples of what is now Mexico, was adopted by Native Americans of what is now the southwestern United States during the Late Archaic period, but the extent of these Late Archaic peoples' dependence on corn agriculture is debated. Some archaeologists infer from the presence of houses storage pits, and large quantities of corn kernels at Late Archaic sites that the inhabitants, once nomadic hunter gatherers, had become settled farmers who, although they lacked the ceramic vessel-making technology typically associated with agriculture, grew and depended on corn. But other evidence strongly suggests that while Late Archaic people grew considerable quantities of corn, it was not their dietary mainstay. Food-processing equipment found at the sites indicates that Late Archaic people continued to rely heavily on wild plant foods. Corn is not a particularly nutritious food. People whose diets are heavily dependent on corn today soak it in limewater and grind it to prepare mush, processes that increase corn's nutritional value; these steps would have been difficult to accomplish without ceramic vessels.
The passage suggests that prior to the Late Archaic period, southwestern Native Americans
The author of the passage mentions the nutritional value of corn primarily in order to
In his history of algebra, John Derbyshire asserts that when Descartes chose the letter X to represent the principal unknown, he did so for the printer' s convenience, because X is used less often in French than Y or Z. In fact, according to cryptography texts, X is used more often than Y in French. Derbyshire's source for his assertion is Classic Math, whose author, Art Johnson, gives no footnote for the claim but who may have misunderstood a conjecture made in 1905 - almost 300 years after Descartes - by Gustav Eneström and mentioned in a book included in Johnson' s Bibliography. Eneström supposed that X was chosen because it occurs more often than Y and Z, and printers therefore would have had more X's available.
It can be inferred that the author of the passage would agree with which of the following statements about the relationship between Eneström's conjecture and Derbyshire?

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