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Sample Practice Test Questions
Solve for z:
z2 + 6z - 13 = -z + 5
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
z2 + 6z - 13 = -z + 5
z2 + 6z - 13 - 5 = -z
z2 + 6z + z - 18 = 0
z2 + 7z - 18 = 0
Next, factor the quadratic equation:
z2 + 7z - 18 = 0
(z - 2)(z + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 2) or (z + 9) must equal zero:
If (z - 2) = 0, z must equal 2
If (z + 9) = 0, z must equal -9
So the solution is that z = 2 or -9
Power is the rate at which:
work is done
Power is the rate at which work is done, P = w/t, or work per unit time. The watt (W) is the unit for power and is equal to 1 joule (or newton-meter) per second. Horsepower (hp) is another familiar unit of power used primarily for rating internal combustion engines. 1 hp equals 746 watts.
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.
A capacitor is often used for which of the following purposes?
to maintain power in a circuit when the primary power source is disconnected
Capacitors store electricity and are used in circuits as temporary batteries. Capacitors are charged by DC current (AC current passes through a capacitor) and that stored charge can later be dissipated into the circuit as needed. Capacitors are often used to maintain power within a system when it is disconnected from its primary power source or to smooth out or filter voltage within a circuit.
Which of the following describes the Earth's mantle?
all of these
Mantle makes up 84% of the Earth's volume and has an average thickness of approximately 1,800 miles (2,900 km). It is dense, hot, and primarily solid although in places it behaves more like a viscous fluid as the plates of the upper mantle and crust gradually "float" along its circumference.
Which of the following is not a component in the engine lubrication system?
differential
In engine lubrication, oil remains in the oil pan until the engine is turned on. It then gets sucked up the pickup tube by the oil pump and pressurized. This pressure is moderated by the pressure relief valve and the oil is fed through the oil filter into the engine to lubricate it.
Which of the following is igneous rock?
granite
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.