Free ASVAB Practice Tests

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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

Word Knowledge
Claudia's implausible excuse failed to convince her teacher.
improbable
Unbelievable.
Shop Information

Which of the following statements about drill bits is not true?

drill bits are primarily left-handed

Drill bits remove material to create holes. They come in a variety of sizes, maxing out at ¼" for woodworking and ½" for metalworking. The majority of drill bits are right-handed which means they cut while rotating in a clockwise direction.

Automotive Information

Which of the following statements about fuel injection is false?

relies on suction to draw fuel into the engine

Fuel injection has replaced the carburetor as the primary automobile fuel delivery system. The main difference between the fuel injector and the carburetor is that fuel injection atomizes the fuel by forcibly pumping it through a small nozzle under high pressure while a carburetor relies on suction to draw fuel into an accelerated intake air stream.

Mechanical Comprehension
If you lift a 30 lbs. rock 24 ft. from the ground, how much work have you done?
720 ft⋅lb
Work is force times distance. In this case, the force is the weight of the rock so:
\( W = F \times d \)
\( W = 30 \times 24 \)
\( W = 720 \)
Arithmetic Reasoning

What is \( \frac{28\sqrt{35}}{4\sqrt{5}} \)?

7 \( \sqrt{7} \)

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

\( \frac{28\sqrt{35}}{4\sqrt{5}} \)
\( \frac{28}{4} \) \( \sqrt{\frac{35}{5}} \)
7 \( \sqrt{7} \)

Shop Information

Which of the following is not a type of nut?

cotter

Wrenches are used with threaded fasteners like bolts and nuts. A bolt has external threads while a nut has internal threads and this thread pattern combination allows them to lock together and act as fasteners. Nuts come in a variety of configurations including wing nuts which provide appendages that allow tightening and loosening by hand, slotted nuts that use a cotter pin to lock the nut in place and prevent it from loosening, and lock nuts that also prevent loosening via nylon in their threads. Threads are identified by pitch which is the number of threads per inch.

Word Knowledge
The flighty Caroline could not be troubled with mundane tasks such as paying her bills.
commonplace
Practical, ordinary.
General Science

Sound travels fastest through which of the following media?

metal

The speed of a sound wave will vary with the medium.  Sound travels fastest through media that has particles that are very close together, like metal. Thus, it travels faster through water than through air and doesn't travel at all through a vacuum (there are no particles in empty space to vibrate).

Word Knowledge
The longer Jorge waited in line at the ticket counter, the more his exasperation grew.
irritation
The state of being irritated.