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Sample Practice Test Questions

Arithmetic Reasoning

What is \( \frac{-7a^5}{7a^4} \)?

-a

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-7a^5}{7a^4} \)
\( \frac{-7}{7} \) a(5 - 4)
-a

Math Knowledge

What is 9a - 7a?

2a

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

9a - 7a = 2a

Mechanical Comprehension

Collinear forces:

act along the same line of action

Collinear forces act along the same line of action, concurrent forces pass through a common point and coplanar forces act in a common plane.

Automotive Information

Which of the following is not a primary function of a vehicle's lubrication system?

increases fuel economy

The lubrication system lubricates engine components by putting an oil film between them to reduce friction and smooth engine operation, cools by absorbing heat from engine parts, seals the pistons and cylinders to contain combustion, cleans contaminants, and quiets engine noise.

Word Knowledge
The boy's insolence to the policeman embarrassed his mother.
impudence
Boldness or rudeness.
General Science

Changes to an object's speed or direction of motion are caused by which of the following?

a force

Force is applied to change an object's speed or direction of motion.

Mechanical Comprehension
1.2 If the radius of the axle is 5 and the radius of the wheel is 6, what is the mechanical advantage of this wheel and axle configuration?
1.2

The mechanical advantage of a wheel and axle is the input radius divided by the output radius:

MA = \( \frac{r_i}{r_o} \)

In this case, the input radius (where the effort force is being applied) is 6 and the output radius (where the resistance is being applied) is 5 for a mechanical advantage of \( \frac{6}{5} \) = 1.2

General Science

"For every action, there is an equal and opposite reaction." This describes which of Newton's laws of motion?

third

Newton's third law of motion states that For every action, there is an equal and opposite reaction. When an object exerts a force on another object, the second object exerts a force of equal magnitude in the opposite direction on the first object.

Math Knowledge
19

If a = 4, b = 2, c = 9, and d = 4, what is the perimeter of this quadrilateral?

19

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 4 + 2 + 9 + 4
p = 19

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.