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Sample Practice Test Questions

Math Knowledge

Which of the following expressions contains exactly two terms?

binomial

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

Mechanical Comprehension
2.36 ft. If the green box weighs 55 lbs. and is 3 ft. from the fulcrum, how far from the fulcrum would a 70 lbs. weight need to be placed to balance the lever?
2.36 ft.

To balance this lever the torques on each side of the fulcrum must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:

Rada = Rbdb

where a represents the left side of the fulcrum and b the right, R is resistance (weight) and d is the distance from the fulcrum.

Solving for db, our missing value, and plugging in our variables yields:

db = \( \frac{R_ad_a}{R_b} \) = \( \frac{55 lbs. \times 3 ft.}{70 lbs.} \) = \( \frac{165 ft⋅lb}{70 lbs.} \) = 2.36 ft.

Math Knowledge
bisects

If the length of AB equals the length of BD, point B __________ this line segment.

bisects

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.

Word Knowledge
Franklin hoped to defeat his adversary in the afternoon's tennis match.
opponent
One who opposes or resists.
Word Knowledge
Opportune most nearly means:
propitious
Suitable or convenient.
General Science

What part of the nervous system controls simple reflexes?

spinal cord

The spinal cord connects the brain to the body's network of nerves. It carries impulses between all organs and the brain and controls simple reflexes.

Shop Information

Which of these saws is used with a miter box?

back saw

A miter box utlizes a back saw (a fine toothed saw with a rigid strip of steel opposite its blade edge) to make cuts in wood at a specified angle.

Automotive Information

The fuel injectors are fed fuel by the:

electric fuel pump

The electric fuel pump feeds pressurized fuel through a fuel filter to the fuel injectors via the fuel rail manifold. The fuel rail contains the fuel pressure regulator which ensures that the fuel injectors receive fuel at a consistent and known rate. Excess fuel bled off by the pressure regulator returns to the fuel tank through the fuel return line.

General Science

Convert -20C° to F°.

-4

To convert from C° to F° use:

\(F° = {9 \over 5}C° + 32\)

\(F° = {9 \over 5}(-20) + 32\)

\(F° = {-180 \over 5} + 32\)

\(F° = -36 + 32 = -4\)

Automotive Information

What type of energy does an automotive battery produce?

direct current

An automotive battery produces direct current for use by automotive systems.