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Sample Practice Test Questions
What is \( \frac{3}{3} \) - \( \frac{5}{5} \)?
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50]. The first few multiples they share are [15, 30, 45, 60, 75] making 15 the smallest multiple 3 and 5 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{3 x 5}{3 x 5} \) - \( \frac{5 x 3}{5 x 3} \)
\( \frac{15}{15} \) - \( \frac{15}{15} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{15 - 15}{15} \) = \( \frac{0}{15} \) =
What is 4a7 - 9a7?
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.
4a7 - 9a7 = -5a7
What cylinder arrangement would be most common in a four cylinder front-wheel drive vehicle?
inline
Cylinder number and arrangement depends on the purpose of the engine. Smaller (four and six cylinder) engines in front-wheel drive vehicles often use an inline design which orients cylinders vertically over the crankshaft and aligns them in a row. Other common orientations are a horizontal/opposed design which places cylinders flat facing each other with the crankshaft between them and a V-type design common in six and eight cylinder engines that features one cylinder head per block of cylinders oriented at a 60 to 90 degree angle to each other with the crankshaft at the bottom of the V.
Which class of lever offers no mechanical advantage?
third
A third-class lever is used to increase distance traveled by an object in the same direction as the force applied. The fulcrum is at one end of the lever, the object at the other, and the force is applied between them. This lever does not impart a mechanical advantage as the effort force must be greater than the load but does impart extra speed to the load. Examples of third-class levers are shovels and tweezers.
Scavengers break down the dead bodies of plants and animals into which of the following?
simple nutrients
Like decomposers, scavengers also break down the dead bodies of plants and animals into simple nutrients. The difference is that scavengers operate on much larger refuse and dead animals (carrion). Decomposers then consume the much smaller particles left over by the scavengers.
Which of these is not a function of bone in the human skeletal system?
store vitamins
Hard bones provide primary support for the endoskeleton while more flexible cartilage is found at the end of all bones, at the joints, and in the nose and ears. In addition to providing support and protecting bodily organs, bones also produce blood cells and store minerals like calcium.
Which of the following is used in metal work for shaping metal?
ball peen hammer
Ball peen hammers are most commonly used in automotive repair. They have rounded heads and are used to drive punches and chisels.
A subatomic particle found in the nucleus of an atom. It carries no electric charge. This desribes which of the following?
neutron
A neutron is a subatomic particle found in the nucleus of an atom. It is neutral as it carries no electric charge.