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0 < x < 1

Quantity A

$$\sqrt{x}$$

Quantity B

$$x^{-1}$$


A saltwater solution contains $$25$$ percent salt by weight. To $$1$$ kilogram of this solution, $$x$$ grams of salt and $$4x$$ grams of water are added , where $$x \gt 0$$.

Quantity A

The percent of salt in the resulting solution

Quantity B

$$25%$$


A company has assets worth $150,000 and liabilities worth $70,000, giving it an asset-to-liability ratio of approximately 2.1. The company will borrow $$x$$ dollars, and the amount borrowed will be added to both the assets and the liabilities. If the asset-to-liability ratio is to be greater than 1.2 after the money is borrowed, which of the following could be the value of $$x$$?

Indicate all such values.
The function $$f$$ is defined by $$f(x) = 2x – 1$$ for all numbers $$x$$. If the function $$g$$ is given by $$g(x) = 3f(2x - 1) + 2$$ for all numbers $$x$$, what is the value of $$g(2)$$?

$$g(2)$$=_____


In the rectangular coordinate system, point P has coordinates (-2,1) and a point Q has coordinates (3,6).

Quantity A

The slope of line l

Quantity B

1


In the rectangular coordinate system, a certain line has slope 3. Which of the following pairs of points could be on the line?


Lines $$k$$ and $$l$$ lie in the xy-plane and are parallel.

Quantity A

$$a$$

Quantity B

$$b$$




In quadrilateral QRST, the length of RS is less than the length of QT, and RS is parallel to QT.

Quantity A

The length of QR

Quantity B

The length of ST




Quantity A

$$x-y$$

Quantity B

20




In the figure shown, ABCD and EFGH are rectangles.

Quantity A

The sum of the measure of angle CPG and angle AQH

Quantity B

300°




All angles in the figure above are right angles. What is the straight-line distance from point P to point Q?


The center of each of the five circles is point O. The radii of the five circles, from smallest to largest, are $$r$$, $$2r$$, $$3r$$, $$4r$$, and $$5r$$, respectively.

Quantity A

The area of the shaded region

Quantity B

The area of the striped region


A box manufacturer is designing a closed box in the shape of a rectangular solid. The ratio of the lengths of the sides of the box is 1 to 2 to 3. The total surface area of the box is 550 square inches. What is the volume of the box, in cubic inches?
Mr. Thomas gave a chemistry test to 25 students and assigned each student a score. Of the 25 students, 12 students received scores that were greater than 80.

Which of the following statements individually provide(s) sufficient additional information to determine the median of the 25 scores?

Indicate all such statements.
Each of 7 fish in an aquarium has a different weight, and the total weight of the 7 fish is 172 pounds. The total weight of the 4 heaviest fish is 114 pounds.The average (arithmetic mean) weight of the 4 lightest fish is 20.5 pounds. What is the median weight,in pounds, of the 7 fish?

_____pounds
$$(-0.5)^{-2}$$, $$(-0.5)^{-1}$$, $$(-0.5)^{0}$$, $$(-0.5)^{1}$$, $$(-0.5)^{2}$$,

What is the range of the 5 numbers listed?


The figure above shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown.

The lengths of phone calls made on a certain weekend by students at High School H are approximately normally distributed with a mean of 30 minutes and a standard deviation of 10 minutes. Which of the following statements must be true?

Indicate all such statements.
During a 7-day period, a plant's height increased half as much each day as it did the day before. What is the ratio of the plant's increase in height on day 4 to its increase in height on day 7?
If an integer is chosen at random from the integers between 101 and 550, inclusive, what is the probability that the chosen integer will begin with the digit 1, 2 or 3, and end with the digit 4, 5, or 6?
$$n$$ is an even integer greater than $$2$$.

Quantity A

$$\frac{n!}{(\frac{n}{2})!}$$

Quantity B

2($$\frac{n}{2}$$)!


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