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Sample Practice Test Questions
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.
The Earth's rocks fall into three categories based on how they're formed. Which of the following is formed from the hardening of molten rock?
igneous
The Earth's rocks fall into three categories based on how they're formed. Igneous rock (granite, basalt, obsidian) is formed from the hardening of molten rock (lava), sedimentary rock (shale, sandstone, coal) is formed by the gradual despositing and cementing of rock and other debris, and metamorphic rock (marble, slate, quartzite) which is formed when existing rock is altered though pressure, temperature, or chemical processes.
"The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object." This describes which of Newton's laws of motion?
second
Newton's second law of motion states that The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object. This law basically means that the greater the mass of an object, the more force is needed to overcome its inertia.
Which of the following is not true of a first-class lever?
decreases distance
A first-class lever is used to increase force or distance while changing the direction of the force. The lever pivots on a fulcrum and, when a force is applied to the lever at one side of the fulcrum, the other end moves in the opposite direction. The position of the fulcrum also defines the mechanical advantage of the lever. If the fulcrum is closer to the force being applied, the load can be moved a greater distance at the expense of requiring a greater input force. If the fulcrum is closer to the load, less force is required but the force must be applied over a longer distance. An example of a first-class lever is a seesaw / teeter-totter.
How many 8-passenger vans will it take to drive all 97 members of the football team to an away game?
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{97}{8} \) = 12\(\frac{1}{8}\)
So, it will take 12 full vans and one partially full van to transport the entire team making a total of 13 vans.
Which of the following nuts prevent loosening via nylon in their threads?
lock
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.
A subatomic particle found in the nucleus of an atom. It carries a positive electric charge. This desribes which of the following?
proton
A proton is a subatomic particle found in the nucleus of an atom. It carries a positive electric charge.
Assuming force applied remains constant, which of the following will result in more work being done?
moving the object farther
Work is accomplished when force is applied to an object: W = Fd where F is force in newtons (N) and d is distance in meters (m). Thus, the more force that must be applied to move an object, the more work is done and the farther an object is moved by exerting force, the more work is done.
A fixed pulley is useful for which of the following?
changing the direction of the input force
A fixed pulley is used to change the direction of a force and does not multiply the force applied. As such, it has a mechanical advantage of one. The benefit of a fixed pulley is that it can allow the force to be applied at a more convenient angle, for example, pulling downward or horizontally to lift an object instead of upward.