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Sample Practice Test Questions

Math Knowledge
y = -2x - 2

The endpoints of this line segment are at (-2, 2) and (2, -6). What is the slope-intercept equation for this line?

y = -2x - 2

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -2. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 2) and (2, -6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)
m = -2

Plugging these values into the slope-intercept equation:

y = -2x - 2

Automotive Information

Which engine component converts the reciprocating motion of the piston into the rotational motion that's used to power the vehicle and its components?

crankshaft

The crankshaft converts the reciprocating motion of the piston into the rotational motion that's used to power the vehicle and its components.

General Science

Tough fibrous cords of connective tissue that connect muscles to the skeleton are called:

tendons

Tough fibrous cords of connective tissue called tendons connect muscles to the skeleton while another type of connective tissue called ligaments connect bones to other bones at joints (elbow, knee, fingers, spinal column).

Automotive Information

Another name for a reciprocating engine is a(n):

piston engine

A reciprocating engine is an engine whose crankshaft is turned by pistons moving up and down in a cylinder.

Electronics Information

An inductor __________ changes in the electric current flowing through it.

resists

An inductor is coiled wire that stores electric energy in the form of magnetic energy and resists changes in the electric current flowing through it. If current is increasing, the inductor produces a voltage that slows the increase and, if current is decreasing, the magnetic energy in the coil opposes the decrease to keep the current flowing longer. In contrast to capacitors, inductors allow DC to pass easily but resist the flow of AC.

Arithmetic Reasoning

The __________ is the smallest positive integer that is a multiple of two or more integers.

least common multiple

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

Word Knowledge
Situated on a mountain, with sixteen–foot walls, the castle was inviolable.
untouchable
Secure from assault of trespass.
General Science

An electrically charged atom is a(n):

ion

A compound is a substance containing two or more different chemical elements bound together by a chemical bond. In ionic compounds, one atom borrows an electron from another atom resulting in two ions (electrically charged atoms) of opposite polarities that then become bonded electrostatically.

General Science

-40°F is how many °C?

-40

The formula to convert from F° to C° is:

\(C° = {5 \over 9} (F° - 32)\)

plugging in our values gives:

\(C° = {5 \over 9} (-40 - 32)\)

\(C° = {5 \over 9} (-72) = {{-72 \times 5} \over 9}\)

\(C° = {-360 \over 9}\)

\(C° = -40\)

General Science

Which of the following is the primary difference between a comet and an asteroid?

comets have an atmosphere

A comet is a loose collection of ice, dust, and small rocky particles that, in contrast to an asteroid, has an extended atmosphere surrounding the center. When passing close to the Sun, this atmosphere warms and begins to release gases forming a visible coma or tail.