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Sample Practice Test Questions
Solve 3a + 2a = 9a - 9y + 8 for a in terms of y.
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
3a + 2y = 9a - 9y + 8
3a = 9a - 9y + 8 - 2y
3a - 9a = -9y + 8 - 2y
-6a = -11y + 8
a = \( \frac{-11y + 8}{-6} \)
a = \( \frac{-11y}{-6} \) + \( \frac{8}{-6} \)
a = 1\(\frac{5}{6}\)y - 1\(\frac{1}{3}\)
According to Boyle's Law, pressure and volume are inversely proportional:
\( \frac{P_1}{P_2} \) = \( \frac{V_2}{V_1} \)
In this problem, V2 = 10 ft.3, V1 = 30 ft.3 and P1 = 6.0 psi. Solving for P2:
P2 = \( \frac{P_1}{\frac{V_2}{V_1}} \) = \( \frac{6.0 psi}{\frac{10 ft.^3}{30 ft.^3}} \) = 18 psi
Which of the following is not a terminal on a transistor?
input
A transistor works by allowing a small amount of current applied at the base to control general current flow from collector to emitter through the transistor.
What is \( 5 \)\( \sqrt{28} \) + \( 7 \)\( \sqrt{7} \)
To add these radicals together their radicands must be the same:
5\( \sqrt{28} \) + 7\( \sqrt{7} \)
5\( \sqrt{4 \times 7} \) + 7\( \sqrt{7} \)
5\( \sqrt{2^2 \times 7} \) + 7\( \sqrt{7} \)
(5)(2)\( \sqrt{7} \) + 7\( \sqrt{7} \)
10\( \sqrt{7} \) + 7\( \sqrt{7} \)
Now that the radicands are identical, you can add them together:
10\( \sqrt{7} \) + 7\( \sqrt{7} \)Ignition timing defines the point in time at the end of the compression stroke that which of the following happens?
spark plugs fire
Ignition timing defines the point in time at the end of the compression stroke that the spark plug fires. Measured in number of degrees before top dead center (BTDC), the exact point that the spark plugs initiate combustion varies depending on the speed of the engine. The timing is advanced (the spark plugs fire a few more degrees BTDC) when the engine is running faster and retarded when it's running slower.
During digestion, the kidneys filter substances from the blood. Which of the following is not filtered by the kidneys?
fats
Chemical waste like excess water, minerals, and salt are filtered from the blood by the kidneys and secreted into the urine. Urine is transported from the kidneys to the bladder through ureters.
Which of the following is not part of the carbon cycle?
precipitation
The carbon cycle represents the ciruit of carbon through Earth's ecosystem. Carbon dioxide (CO2) in the atmosphere is absorbed by plants through photosynthesis. Plants then die and release carbon back into the atmosphere during decomposition or are eaten by animals who breathe (respiration) the carbon into the atmosphere they exhale and produce waste which also releases carbon as it decays.
Which of the following is not part of an engine's cooling system?
air conditioner
The purpose of an automobile engine's cooling system is to circulate coolant around the engine so it can absorb and dissipate heat. The water pump pumps coolant through the various components in the system and the radiator cools down coolant after it has heated up after passing through the engine. The thermostat controls the flow of coolant based on engine temperature while the cooling fan draws air through the radiator when the car isn't moving fast enough for unforced air to cool things down on its own.