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Sample Practice Test Questions
Power brakes multiply the force a driver applies to the brake pedal using a __________ connected to the engine intake manifold.
vacuum booster
Power brakes multiply the force a driver applies to the brake pedal using a vacuum booster connected to the engine intake manifold. This provides for much higher hydraulic pressure in the braking system than could be generated by the driver alone. Antilock brakes (ABS) use speed sensors and adjust the brake pressure at each wheel to prevent skidding and allow the driver more steering control in slippery conditions.
A __________ electric current produces a magnetic field proportional to the amount of current flow.
moving
A moving electric current produces a magnetic field proportional to the amount of current flow. This magnetic field can be made stronger by winding the wire into a coil and further enhanced if done around an iron containing (ferrous) core.
Solve for a:
a2 - 5a - 6 = 0
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - 5a - 6 = 0
(a + 1)(a - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 1) or (a - 6) must equal zero:
If (a + 1) = 0, a must equal -1
If (a - 6) = 0, a must equal 6
So the solution is that a = -1 or 6
Momentum is a measure of how difficult it is for a moving object to stop. Which of the following is the formula for momentum?
\(\vec{p} = m\vec{v}\)
Momentum is a measure of how difficult it is for a moving object to stop and is calculated by multiplying the object's mass by its velocity: \(\vec{p} = m\vec{v}\). Like velocity, momentum is a vector quantity as it expresses force applied in a specific direction.
What is work?
The movement of an object by a force
Work is accomplished when force is applied to an object: W = Fd where F is force in newtons (N) and d is distance in meters (m). Thus, the more force that must be applied to move an object, the more work is done and the farther an object is moved by exerting force, the more work is done. By definition, work is the displacement of an object resulting from applied force.
What is the frequency of most household electrical systems?
60Hz
Electricity is delivered from power stations to customers as AC because it provides a more efficient way to transport electricity over long distances. Most households use electricity with a frequency of 60Hz.
What is 7a + 6a?
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a + 6a = 13a
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
The equation for this sequence is:
an = an-1 + 2(n - 1)
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31