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Sample Practice Test Questions
Solve 3b + 2b = 9b - 9z + 8 for b in terms of z.
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
3b + 2z = 9b - 9z + 8
3b = 9b - 9z + 8 - 2z
3b - 9b = -9z + 8 - 2z
-6b = -11z + 8
b = \( \frac{-11z + 8}{-6} \)
b = \( \frac{-11z}{-6} \) + \( \frac{8}{-6} \)
b = 1\(\frac{5}{6}\)z - 1\(\frac{1}{3}\)
An arc-welder creates heat using:
high voltage electricity
Welding is a high-temperature process that involves melting the base metals in the objects to be joined to fuse them together. A filler metal is used to provide additional material to make up a joint that, depending on the weld type, can be stronger than the base materials alone. Oxyacetylene welding is a welding process that uses a torch fueled with oxygen and acetylene gases. Electric-arc welding utlizes electric current in a safer welding process (it doesn't involve burning explosive gases) that enables a wide variety of specialized applications like stick, MIG (metal inert gas), and TIG (tungsten inert gas) welding.
From what energy do photovoltaic cells produce electrical energy?
sun
A photovoltaic cell (also known as a solar cell) converts energy from the sun into electrical energy.
What is 7\( \sqrt{4} \) x 6\( \sqrt{4} \)?
To multiply terms with radicals, multiply the coefficients and radicands separately:
7\( \sqrt{4} \) x 6\( \sqrt{4} \)
(7 x 6)\( \sqrt{4 \times 4} \)
42\( \sqrt{16} \)
Now we need to simplify the radical:
42\( \sqrt{16} \)
42\( \sqrt{4^2} \)
(42)(4)
168
The dwarf planet Pluto is located where?
in the Kuiper Belt
The Kuiper Belt is similar to the asteroid belt but much larger. Extending beyond the orbit of Neptune, it contains objects composed mostly of frozen methane, ammonia, and water. Most notably, the Kuiper Belt is home to Pluto, a dwarf planet that, until a 2006 reclassification, was considered the ninth planet of the solar system.
Which of the following is not a method of heat transfer?
reflection
Heat is always transferred from warmer to cooler environments through conduction, convection, or radiation.
The __________ provides the appropriate power to vehicle wheels to maintain a given speed.
transmission
The transmission provides the appropriate power to vehicle wheels to maintain a given speed. The engine and the transmission have to be disconnected to shift gears and a manual transmission requires the driver to manually manage this disconnection (using a clutch) and to manually shift gears. An automatic transmission is essentially an automatic gear shifter and handles this process without driver input.