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A box contains 100 purple balls, 100 red balls, and 100 white balls. What is the minimum number of balls that must be chosen to ensure that at least 4 of the balls chosen have the same color?
For all numbers a and b, the operation ⭕️ is defined by a ⭕️ b=2a-3b. What is the value of 1 ⭕️ (2 ⭕️ 4)?


Quantity A

x

Quantity B

y+z


Quantity A

The area of a circular region with circumference 10

Quantity B

9




In the xy-plane, a line pases through two points (6, 20) and (2, 22), respectively.

Quantity A

The x-intercept of the line

Quantity B

36


Several factors contribute to the____________ of swordfish, including the speed at which they travel, the vast distances they cover in their migration, and their impressive stamina.
If n is a positive integer, which of the following CANNOT be the units digit of $$2^{n}-1$$?
The passage suggests which of the following about the patch choices made by human foragers?


What is the area of the shaded region shown in the xy-plane?
If $$1 < r < s < t < 2$$, then, of the following, which is closest to $$r+(s*10^{6})+(t*10^{12})$$?
Which of the following best describes the general rule referred to in the last sentence of the passage?


The parallel sides (bases) of trapezoid RSTU have lengths 3 and 9, and the nonparallel sides have lengths 4 and 6, as shown in the figure. Line segment AB (not shown) is parallel to the two bases of RSTU with point A on side RS and point B on side TU. If AB divides the trapezoid into two trapezoids having equal perimeters, what is the sum of the lengths of the nonparallel sides of trapezoid RABU?
If $$\frac{1}{2}$$ is one solution of the equation $$8x^{2}+2x-k=0$$, where k is a constant, what is the other solution of the equation?
The acreage of Hopetown, a town in Lewis County, is equal to 20 percent of the acreage of the region that is in Lewis County but not in Hopetown.

Quantity A

The acreage of Hopetown as a percent of the entire acreage of Lewis County

Quantity B

18%




The solid shown above is composed of four identical solid cubes, each with sides of length 2. What is the surface area of the solid?
The total annual rainfall during year X in Nairobi was 29.9 inches. Approximately what percent of the total annual rainfall occurred during April?
If $$y=(x-2)(x-1)(x+1)$$, which of the following graphs indicates all of the values of $$x$$ for which $$y$$ is positive?
Let x, y, and z be positive numbers. If x is 12.5 percent of y and x is 3.125 percent of z, then x is what percent of y+z?

_____%
The distance from the center of tree A to the center of tree B is 20 feet. The distance from the center of tree A to the center of tree C is 12 feet. The centers of the three trees are not, in a straight line. Which of the following values could be the distance, in feet, from the center of tree B to the center of tree C?

Indicate all such values,

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