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Math Knowledge

Solve 3b + 2b = 9b - 9x + 8 for b in terms of x.

1\(\frac{5}{6}\)x - 1\(\frac{1}{3}\)

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

3b + 2x = 9b - 9x + 8
3b = 9b - 9x + 8 - 2x
3b - 9b = -9x + 8 - 2x
-6b = -11x + 8
b = \( \frac{-11x + 8}{-6} \)
b = \( \frac{-11x}{-6} \) + \( \frac{8}{-6} \)
b = 1\(\frac{5}{6}\)x - 1\(\frac{1}{3}\)

Electronics Information

This circuit component symbol represents a(n):

transistor

The transistor is the foundation of modern electronic devices. It is made entirely from semiconductor material (making it a solid state device) and can serve many different functions in a circuit including acting as a switch, amplifier, or current regulator. 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.

Electronics Information

In a series circuit, which of the following is the same across all branches of the circuit?

current

A series circuit has only one path for current to flow. In a series circuit, current (I) is the same throughout the circuit and is equal to the total voltage (V) applied to the circuit divided by the total resistance (R) of the loads in the circuit. The sum of the voltage drops across each resistor in the circuit will equal the total voltage applied to the circuit.

Electronics Information

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.

Shop Information

Which of the following statements about an 8-point saw is not true?

an 8-point saw makes a rougher cut than a 12-point saw

Saw blades are described by the number of teeth per inch (TPI). The higher the TPI of a saw the finer the cut it will make.

Mechanical Comprehension

Which of the following is not a type of bridge?

block

The six basic bridge forms are beam, truss, arch, cantilever, cable, and suspension.

Electronics Information

This circuit component symbol represents a(n):

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.

Word Knowledge

Manifest most nearly means:

evident

Obvious.

Mechanical Comprehension

Which of these is the formula for force?

F = ma

Newton's Second Law of Motion states that "The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object." This Law describes the linear relationship between mass and acceleration when it comes to force and leads to the formula F = ma or force equals mass multiplied by rate of acceleration.

Automotive Information

Which of the following statements about v-type cyllinder arrangement is false?

has an odd number of cylinders

A v-arrangement has two rows of cylinders in a V-shaped block with a crankshaft at the bottom of the V. Any even number of cylinders is possible in this configuration from the V-2 that's commonly used in motorcycles up to V-12 or bigger for large trucks. The V design produces a shorter engine than an in-line cylinder configuration and allows for better air-fuel distribution.