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Sample Practice Test Questions
Which of the following would you find in the side view mirror of a car?
convex mirror
A concave (or converging) mirror bulges inward and focuses reflected light on the mirror's focal point where the mirror's angles of incidence converge. In contrast, a convex (or diverging) mirror bulges outward and diffuses the light waves that strike it. A common use of a concave mirror is in a reflecting telescope, a common use of a convex mirror is in the side view mirror of a car.
This skeletal system is common in arthropods like insects, spiders, and crustaceans.
exoskeleton
An exoskeleton (external skeleton) is common in arthropods like insects, spiders, and crustaceans.
What is 7\( \sqrt{4} \) x 6\( \sqrt{4} \)?
To multiply terms with radicals, multiply the coefficients and radicands separately:
7\( \sqrt{4} \) x 6\( \sqrt{4} \)
(7 x 6)\( \sqrt{4 \times 4} \)
42\( \sqrt{16} \)
Now we need to simplify the radical:
42\( \sqrt{16} \)
42\( \sqrt{4^2} \)
(42)(4)
168
A transistor works by allowing a small amount of current to control general current flow. Where is the small amount of current applied?
base
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.
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.
What is the greatest common factor of 52 and 36?
The factors of 52 are [1, 2, 4, 13, 26, 52] and the factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36]. They share 3 factors [1, 2, 4] making 4 the greatest factor 52 and 36 have in common.
The dimensions of this cube are height (h) = 5, length (l) = 1, and width (w) = 4. What is the volume?
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 1 x 4
v = 20
If A = 10 ft., B = 1 ft., C = 9 ft., the green box weighs 50 lbs. and the blue box weighs 60 lbs., what does the orange box have to weigh for this lever to balance?
fAdA = fBdB + fCdC
For this problem, this equation becomes:
50 lbs. x 10 ft. = 60 lbs. x 1 ft. + fC x 9 ft.
500 ft. lbs. = 60 ft. lbs. + fC x 9 ft.
fC = \( \frac{500 ft. lbs. - 60 ft. lbs.}{9 ft.} \) = \( \frac{440 ft. lbs.}{9 ft.} \) = 48.89 lbs.
What is \( \frac{4}{6} \) ÷ \( \frac{4}{8} \)?
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{6} \) ÷ \( \frac{4}{8} \) = \( \frac{4}{6} \) x \( \frac{8}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{6} \) x \( \frac{8}{4} \) = \( \frac{4 x 8}{6 x 4} \) = \( \frac{32}{24} \) = 1\(\frac{1}{3}\)