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Sample Practice Test Questions
If \( \left|x + 9\right| \) - 3 = 7, which of these is a possible value for x?
First, solve for \( \left|x + 9\right| \):
\( \left|x + 9\right| \) - 3 = 7
\( \left|x + 9\right| \) = 7 + 3
\( \left|x + 9\right| \) = 10
The value inside the absolute value brackets can be either positive or negative so (x + 9) must equal + 10 or -10 for \( \left|x + 9\right| \) to equal 10:
| x + 9 = 10 x = 10 - 9 x = 1 | x + 9 = -10 x = -10 - 9 x = -19 |
So, x = -19 or x = 1.
Which of the following will help to prevent a short circuit?
fuse
Fuses are thin wires that melt when the current in a circuit exceeds a preset amount. They help prevent short circuits from damaging circuit components when an unusually large current is applied to the circuit, either through component failure or spikes in applied voltage.
Exhaust gases from cylinder exhaust valves are collected by the:
exhaust manifolds
The cast iron exhaust manifolds collect engine exhaust gas from multiple cylinder exhaust valves and deliver it to the exhaust pipe. Exhaust manifolds can be generic or specially tuned (header pipes) to the engine. Header pipes deliver higher performance but are more expensive and less durable.
The valence shell of a conductor is how full of electrons?
less than half full
Conductors are elements that allow electrons to flow freely. Their valence shell is less than half full of electrons that are able to move easily from one atom to another.
In fermentation, what replaces oxygen in anaerobic respiration?
lactic acid or alcohol
If no oxygen is present, cellular respiration is anaerobic and will result in fermentation where either lactic acid or alcohol is used instead of oxygen.
Voltage and current are __________ proportional.
directly
Voltage (V) is the electrical potential difference between two points. Electrons will flow as current from areas of high potential (concentration of electrons) to areas of low potential. Voltage and current are directly proportional in that the higher the voltage applied to a conductor the higher the current that will result.
You are using a hacksaw to cut a Class 8 bolt. What is the most appropriate TPI for your saw blade?
18 TPI
A Class 8 bolt is made of very hard metal and larger TPI saw blades are most appropriate for very hard metals.
Solve for z:
z2 - 5z - 6 = 0
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 5z - 6 = 0
(z + 1)(z - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 1) or (z - 6) must equal zero:
If (z + 1) = 0, z must equal -1
If (z - 6) = 0, z must equal 6
So the solution is that z = -1 or 6