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Sample Practice Test Questions
Solve for x:
x2 - 5x - 6 = 0
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 - 5x - 6 = 0
(x + 1)(x - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 1) or (x - 6) must equal zero:
If (x + 1) = 0, x must equal -1
If (x - 6) = 0, x must equal 6
So the solution is that x = -1 or 6
The ohm is a unit of measurement for:
resistance
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.
Which of the following is a difference between a circuit breaker and a fuse?
all of these
Like fuses, circuit breakers stop current flow once it reaches a certain amount. They have the advantage of being reusable (fuses must be replaced when "blown") but respond more slowly to current surges and are more expensive than fuses.
Traits represented by genes may be which of the following?
all of these
The traits represented by genes are inherited independently of each other (one from the male and one from the female gamete) and a trait can be dominant or recessive. A dominant trait will be expressed when paired with a recessive trait while two copies of a recessive trait (one from each parent) must be present for the recessive trait to be expressed.
If the radius of the axle is 5 and the radius of the wheel is 6, what is the mechanical advantage of this wheel and axle configuration?
The mechanical advantage of a wheel and axle lies in the difference in radius between the inner (axle) wheel and the outer wheel. But, this mechanical advantage is only realized when the input effort and load are applied to different wheels. Applying both input effort and load to the same wheel results in a mechanical advantage of 1.
Which of the following is an improper fraction?
\({7 \over 5} \)
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
Current is the rate of flow of electrons per unit time and is measured in:
amperes
Current is the rate of flow of electrons per unit time and is measured in amperes (A). A coulomb (C) is the quantity of electricity conveyed in one second by a current of one ampere.