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Sample Practice Test Questions
212°F is how many °C?
100
The formula to convert from F° to C° is:
\(C° = {5 \over 9} (F° - 32)\)
plugging in our values gives:
\(C° = {5 \over 9} (212 - 32)\)
\(C° = {5 \over 9} (180) = {{180 \times 5} \over 9}\)
\(C° = {900 \over 9}\)
\(C° = 100\)
Which of the following is not an advantage of using a tape measure over using a ruler?
measure with more accuracy
Rulers are used to both measure distance and to draw straight lines. Tape measures are flexible rulers useful for measuring longer distances and in tighter spaces. Rulers and tape measures provide similarly accurate measurements.
All surface water is part of the:
hydrosphere
The biosphere is the global ecological system integrating all living beings and their relationships. This includes their interactions with the lithosphere (the rigid outer part of the earth, consisting of the crust and upper mantle), hydrosphere (all surface water), and atmosphere (the envelope of gases surrounding the planet).
The Earth's rocks fall into three categories based on how they're formed. Which of the following is formed when existing rock is altered through pressure, temperature, or chemical processes?
metamorphic
The Earth's rocks fall into three categories based on how they're formed. Igneous rock (granite, basalt, obsidian) is formed from the hardening of molten rock (lava), sedimentary rock (shale, sandstone, coal) is formed by the gradual despositing and cementing of rock and other debris, and metamorphic rock (marble, slate, quartzite) which is formed when existing rock is altered though pressure, temperature, or chemical processes.
During digestion, after proteins are broken down where does the undigested food go next?
small intestine
Food is mixed with gastric acid and pepsin in the stomach to help break down protein.
If the green arrow in this diagram represents 420 ft⋅lb of work, how far will the box move if it weighs 140 pounds?
Win = Wout
Feffort x deffort = Fresistance x dresistance
In this problem, the effort work is 420 ft⋅lb and the resistance force is 140 lbs. and we need to calculate the resistance distance:
Win = Fresistance x dresistance
420 ft⋅lb = 140 lbs. x dresistance
dresistance = \( \frac{420ft⋅lb}{140 lbs.} \) = 3 ft.
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for division
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Monty buys two shirts, each with a regular price of $50, how much money will he save?
By buying two shirts, Monty will save $50 x \( \frac{40}{100} \) = \( \frac{$50 x 40}{100} \) = \( \frac{$2000}{100} \) = $20.00 on the second shirt.
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.