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During an experiment, the pressure of a fixed mass of gas increased from 40 pounds per square inch (psi) to 50 psi. Throughout the experiment, the pressure, P psi, and the volume, V cubic inches, of the gas varied in such a way that the value of the product PV was constant.

Quantity A

The volume of the gas when the pressure was 40 psi

Quantity B

1.2 times the volume of the gas when the pressure was 50 psi
The ratio of the number of males to the number of females in a mathematics class is 4 to 5. The corresponding ratio in an English class is 5 to 4. There are 50 percent more males in the English class than there are in the mathematics class. What is the ratio of the number of females in the mathematics class to the number of females in the English class?
If Gillian could earn d dollars within h hours, while Sandra could earn the same amount of money but within only (h-2) hours. How much more money could Sandra earn every day (8 work hours) than Gillian?
0.abcde is is a repeating decimal (a, b, c, d, and e are all different)

0.abcde =1/X (X is a positive integer)

Quantity A: X

Quantity B: 83
When the decimal point of a certain positive decimal number is moved six places to the right, the resulting number is 9 times the reciprocal of the original number. What is the original number?

Give your answer as a decimal.
n is a positive integer, $$0.5^{n}$$ < 0.0002. What is the least possible value of n?
If $$\frac{1}{2^{11} 5^{17}}$$ is expressed as a terminating decimal, how many nonzero digits will the decimal have?
If $$s$$ and $$t$$ are different positive integers, which of the following guarantees that $$\frac{t}{s}$$ is an integer?

Indicate all such statements.
Which of the following numbers is farthest from number 1 on the number line?


On the number line shown, the tick marks are equally spaced. Which of the following statements about the numbers x, y and z must be true?

Indicate all such statements.


Note: Figure not drawn to scale

If x and y are numbers on the number line above, which of the following statements must be true?

I. |x+y| < y

II. x + y < 0

III. xy < 0
x > y, xy > 0

Quantity A

|x-y|

Quantity B

y
-1 < x < 1

Quantity A: |1-x|

Quantity B: 1
M > N

Quantity A

|-M| - |-N|

Quantity B

|-N| - |-M|
If x+|x|+y=7 and x+|y|-y=6 , then x+y=
What is the sum of all possible solutions of the equation

$$|x+4|^{2}$$ -10|x+4|=24
y > |x|, xy < 0

Quantity A

x+y

Quantity B

0
If |z| ≤ 1, which of the following statements must be true?

Indicate all such statements.
How many integer values of n satisfy the inequality | 3-n | ≤ 4 ?
If 6 ·| 4-k/3| > 12, which of the following could be the value of k ?

Indicate all such values.

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