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Sample Practice Test Questions
Solve for z:
-5z - 3 = \( \frac{z}{-3} \)
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-5z - 3 = \( \frac{z}{-3} \)
-3 x (-5z - 3) = z
(-3 x -5z) + (-3 x -3) = z
15z + 9 = z
15z + 9 - z = 0
15z - z = -9
14z = -9
z = \( \frac{-9}{14} \)
z = -\(\frac{9}{14}\)
Simplify 7a x 6b.
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
7a x 6b = (7 x 6) (a x b) = 42ab
Connecting the 10 batteries in series multiplies their voltage while keeping their current the same yielding a 60V 5A configuration. Connecting the 10 batteries in parallel multiplies their current while keeping their voltage the same yielding a 6V 50A configuration. Using a series-parallel connection, 5 batteries can be connected in series and 5 can be connected in parallel resulting in a 30V 25A configuration.
Which of the following is not a characteristic of direct current?
an example power source is a generator
Direct current flows in only one direction in a circuit, from the negative terminal of the voltage source to the positive. A common source of DC is a battery. In contrast to the constant one-way flow of direct current, alternating current changes direction many times each second. Electricity is delivered from power stations to customers as AC because it provides a more efficient way to transport electricity over long distances.
Resistance is measured in:
ohms
Resistance is opposition to the flow of current and is measured in ohms (Ω). One ohm is defined as the amount of resistance that will allow one ampere of current to flow if one volt of voltage is applied. As resistance increases, current decreases as resistance and current are inversely proportional.
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.
If AD = 29 and BD = 22, AB = ?
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD