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Sample Practice Test Questions

General Science

Atoms of an element whose atoms can vary in the number of neutrons in their nucleus are called which of the following?

isotopes

The atomic mass of an element listed in the Periodic Table represents the average mass of a single atom of that element and is measured in atomic mass units (amu). This number is an average as some elements have isotopes with atoms that vary in their number of neturons and, therefore, differ in weight.

General Science

As a cold front moves into an area, the heavier cool air __________ the lighter warm air that it is replacing.

pushes under

A cold front is a warm-cold air boundary with the colder air replacing the warmer. As a cold front moves into an area, the heavier cool air pushes under the lighter warm air that it is replacing. The warm air becomes cooler as it rises and, if the rising air is humid enough, the water vapor it contains will condense into clouds and precipitation may fall.

Arithmetic Reasoning

If \( \left|x + 9\right| \) - 3 = 7, which of these is a possible value for x?

-19

First, solve for \( \left|x + 9\right| \):

\( \left|x + 9\right| \) - 3 = 7
\( \left|x + 9\right| \) = 7 + 3
\( \left|x + 9\right| \) = 10

The value inside the absolute value brackets can be either positive or negative so (x + 9) must equal + 10 or -10 for \( \left|x + 9\right| \) to equal 10:

x + 9 = 10
x = 10 - 9
x = 1
x + 9 = -10
x = -10 - 9
x = -19

So, x = -19 or x = 1.

Math Knowledge

Simplify (5a)(2ab) - (9a2)(3b).

-17a2b

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(5a)(2ab) - (9a2)(3b)
(5 x 2)(a x a x b) - (9 x 3)(a2 x b)
(10)(a1+1 x b) - (27)(a2b)
10a2b - 27a2b
-17a2b

Word Knowledge
Methodical most nearly means:
systematic
Performed in an orderly manner.
General Science

The formula for acceleration is which of the following?

\(\vec{a} = { \vec{F} \over m }\)

Newton's second law of motion leads to the formula for acceleration which is a measure of the rate of change of velocity per unit time and, if you solve for positive acceleration, reveals how much net force is needed to overcome an object's mass.  The formula for acceleration is  \(\vec{a} = { \vec{F} \over m }\) or, solving for force,  \(\vec{F} = m\vec{a}\).

Mechanical Comprehension

Which of the following is not a modulus of elasticity?

stress modulus

The modulus of elasticity measures how much a material or structure will deflect under stress. Stretch modulus is longitudinal stretch (like stretching raw bread dough), shear modulus is longitudinal deflection (like the horizontal displacement of a stack of magzines when a heavy object is placed upon them), and bulk modulus is compression of volume (like the compression of a loaf of bread under a heavy can at the bottom of a grocery bag).

General Science

In fermentation, what replaces oxygen in anaerobic respiration?

lactic acid or alcohol

If no oxygen is present, cellular respiration is anaerobic and will result in fermentation where either lactic acid or alcohol is used instead of oxygen.

Mechanical Comprehension

Which of the following is the formula for hydraulic pressure?

P = F/A

Hydraulics is the transmission of force through the use of liquids. Liquids are especially suited for transferring force in complex machines because they compress very little and can occupy very small spaces. Hydraulic pressure is calculated by dividing force by the area over which it is applied: P = F/A where F is force in pounds, A is area in square inches, and the resulting pressure is in pounds per square inch (psi).

Word Knowledge
Epistolary most nearly means:
written
Contained or carried on in letters.