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Sample Practice Test Questions
Solve 3b + 2b = 9b - 9x + 8 for b in terms of x.
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\(\frac{1}{3}\)
An electrically charged atom is a(n):
ion
A compound is a substance containing two or more different chemical elements bound together by a chemical bond. In ionic compounds, one atom borrows an electron from another atom resulting in two ions (electrically charged atoms) of opposite polarities that then become bonded electrostatically.
Which of the following is not a common type of battery?
power-cycle
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 direct current (DC) is a battery. The three most common types of batteries are dry cell (used in small devices like TV remotes), wet cell (used for cars), and deep-cycle (storage batteries used primarily for backup and emergency power).
Which of the following would be used to make a drilling guide mark in a sheet of metal?
center punch
A punch is narrow and is used to drive objects like nails (pin punch) or for making guide marks for drilling (center punch) or patterns in wood or metal.
Force is measured in newtons (N) with 1 N being the force required to impart an acceleration of:
1 m/s2 to a mass of 1 kg
Weight is a force that describes the attraction of gravity on an object. Force is measured in newtons (N) with 1 N being the force required to impart an acceleration of 1 m/s2 to a mass of 1 kg.
If a = c = 4, b = d = 3, what is the area of this rectangle?
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 4 x 3
a = 12
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.
The valence shell of n insulator is how full of electrons?
more than half full
Insulators have valence shells that are more than half full of electrons and, as such, are tightly bound to the nucleus and difficult to move from one atom to another.
Coplanar forces:
act in a common plane
Collinear forces act along the same line of action, concurrent forces pass through a common point and coplanar forces act in a common plane.