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Sample Practice Test Questions

Arithmetic Reasoning

What is \( 5 \)\( \sqrt{20} \) - \( 2 \)\( \sqrt{5} \)

8\( \sqrt{5} \)

To subtract these radicals together their radicands must be the same:

5\( \sqrt{20} \) - 2\( \sqrt{5} \)
5\( \sqrt{4 \times 5} \) - 2\( \sqrt{5} \)
5\( \sqrt{2^2 \times 5} \) - 2\( \sqrt{5} \)
(5)(2)\( \sqrt{5} \) - 2\( \sqrt{5} \)
10\( \sqrt{5} \) - 2\( \sqrt{5} \)

Now that the radicands are identical, you can subtract them:

10\( \sqrt{5} \) - 2\( \sqrt{5} \)
(10 - 2)\( \sqrt{5} \)
8\( \sqrt{5} \)

Word Knowledge
It was incumbent on Jack to attend his father's retirement party.
oblilgatory
Necessary as a duty or responsibility.
Math Knowledge

Solve for z:
z2 - 5z - 6 = 0

-1 or 6

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

z2 - 5z - 6 = 0
(z + 1)(z - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 1) or (z - 6) must equal zero:

If (z + 1) = 0, z must equal -1
If (z - 6) = 0, z must equal 6

So the solution is that z = -1 or 6

Word Knowledge
The genial host warmly greeted his many guests.
pleasant
Sympathetic, friendly.
Word Knowledge
Raucous most nearly means:
rowdy
Noisy, rowdy.
General Science

An endoskeleton (internal skeleton) is a charateristic of __________ animals, including humans.

vertebrate

An endoskeleton (internal skeleton) is a charateristic of vertebrate animals, including humans.

Word Knowledge
Demeanor most nearly means:
disposition
Behavior towards others.
General Science

A major difference between sound waves and light waves is which of the following?

all of these are correct

A vibrating object produces a sound wave that travels outwardly from the object through a medium (any liquid or solid matter). The vibration disturbs the particles in the surrounding medium, those particles disturb the particules next to them, and so on, as the sound propagates away from the vibration.

Automotive Information

What's the name of the low-voltage winding in the ignition coil?

primary coil winding

The ignition coil is a high-voltage transformer made up of two coils of wire. The primary coil winding is the low-voltage winding and has relatively few turns of heavy wire. The secondary coil winding is the high-voltage winding that surrounds the primary and is made up of thousands of turns of fine wire. Current flows from the battery through the primary coil winding which creates a changing magnetic field inside the secondary coil. This induces a very high-voltage current in the secondary coil which it feeds to the distributor.

General Science

An element in the physical state of __________ maintains a constant volume and shape.

solid

An element in a solid state has atoms or molecules that are constricted and do not move freely. Solids maintain a constant volume and shape and exist at a lower temperature than liquids or gases.