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Sample Practice Test Questions

Math Knowledge

Find the value of c:
5c + x = -1
-2c - 3x = -3

-\(\frac{6}{13}\)

You need to find the value of c so solve the first equation in terms of x:

5c + x = -1
x = -1 - 5c

then substitute the result (-1 - 5c) into the second equation:

-2c - 3(-1 - 5c) = -3
-2c + (-3 x -1) + (-3 x -5c) = -3
-2c + 3 + 15c = -3
-2c + 15c = -3 - 3
13c = -6
c = \( \frac{-6}{13} \)
c = -\(\frac{6}{13}\)

General Science

Elements that belong to the same period in the Periodic Table of the Elements have the same number of:

electron shells

The rows of the Periodic Table are called periods and contain elements that have the same number of electron shells ordered from lower to higher atomic number. 

Word Knowledge
Ramble most nearly means:
roam
To wander, physically or in language.
Mechanical Comprehension

The principle of conservation of mechanical energy states that, as long as no other forces are applied, what will remain constant as an object falls?

total mechanical energy

As an object falls, its potential energy is converted into kinetic energy. The principle of conservation of mechanical energy states that, as long as no other forces are applied, total mechanical energy (PE + KE) of the object will remain constant at all points in its descent.

Arithmetic Reasoning

What is 7\( \sqrt{4} \) x 6\( \sqrt{4} \)?

168

To multiply terms with radicals, multiply the coefficients and radicands separately:

7\( \sqrt{4} \) x 6\( \sqrt{4} \)
(7 x 6)\( \sqrt{4 \times 4} \)
42\( \sqrt{16} \)

Now we need to simplify the radical:

42\( \sqrt{16} \)
42\( \sqrt{4^2} \)
(42)(4)
168

Word Knowledge
Mediate most nearly means:
arbitrate
To come between parties in order to reconcile.
Electronics Information

Which of the following allows current to pass easily in one direction and blocks current in the other direction?

diode

A diode allows current to pass easily in one direction and blocks current in the other direction. Diodes are commonly used for rectification which is the conversion of alternating current (AC) into direct current (DC). Because a diode only allows current flow in one direction, it will pass either the upper or lower half of AC waves (half-wave rectification) creating pulsating DC. Multiple diodes can be connected together to utilize both halves of the AC signal in full-wave rectification.

Word Knowledge
Regale most nearly means:
entertain
To amuse.
General Science

What prevents blood pumped out of the ventricles from flowing back into the heart?

valves

The heart is the organ that drives the circulatory system. In humans, it consists of four chambers with two that collect blood called atria and two that pump blood called ventricles. The heart's valves prevent blood pumped out of the ventricles from flowing back into the heart.

Mechanical Comprehension

According to Boyle's law, for a fixed amount of gas kept at a fixed temperature, which of the following are inversely proportional?

pressure, volume

Boyle's law states that "for a fixed amount of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional".