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Sample Practice Test Questions

Arithmetic Reasoning

Convert x-3 to remove the negative exponent.

\( \frac{1}{x^3} \)

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.

Math Knowledge

Solve for y:
-6y + 9 = -7 + 7y

1\(\frac{3}{13}\)

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-6y + 9 = -7 + 7y
-6y = -7 + 7y - 9
-6y - 7y = -7 - 9
-13y = -16
y = \( \frac{-16}{-13} \)
y = 1\(\frac{3}{13}\)

Mechanical Comprehension

An inclined plane increases ___________ to reduce ____________.

distance, force

An inclined plane is a simple machine that reduces the force needed to raise an object to a certain height. Work equals force x distance and, by increasing the distance that the object travels, an inclined plane reduces the force necessary to raise it to a particular height. In this case, the mechanical advantage is to make the task easier. An example of an inclined plane is a ramp.

Electronics Information
6 A Use Ohm's Law to calculate the value of current in this circuit if voltage is 240 volts and resistance is 40 Ω.
6 A

Ohm's law specifies the relationship between voltage (V), current (I), and resistance (R) in an electrical circuit: V = IR.

Solved for current, I = \( \frac{V}{R} \) = \( \frac{240}{40} \) = 6 A

Word Knowledge
The arrogant writer did not hide his disdain for his uneducated dinner companion.
scorn
Feeling of contempt.
Word Knowledge
Melodious most nearly means:
dulcet
Having a pleasing melody.
Word Knowledge
The accountant advised Justine not to report her incidental expenses.
petty
Minor.
Word Knowledge
The statesman extolled the ambassador who single–handedly negotiated the peace treaty.
glorify
To praise highly.
Electronics Information

Which of the following is not an advantage of semiconductors over conductors?

a semiconductor conducts current better than a conductor

A semiconductor is a material that has a limited ability to conduct electrical current with conductivity between that of an insulator and that of a conductor. Silicon, a cheap and abundant material, is the most used semiconductor material although other materials are used in the electronics components made from semiconductors. The primary advantages of a semiconductor over a conductor is that the conductivity of a semiconductor can be varied under an external electrical field giving engineers precise control over complex circuits and, unlike conductors like metals, a semiconductor's conductivity increases with increased temperatures.

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,  \(\vec{F} = m\vec{a}\).