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Sample Practice Test Questions
Molecules and atoms that are inputs to a chemical reaction are known as which of the following?
reactants
During a chemical reaction molecules and atoms (reactants) are rearranged into new combinations that result in new kinds of atoms or molecules (products).
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 60% of his shots. If the guard takes 25 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{60}{100} \) = \( \frac{60 x 25}{100} \) = \( \frac{1500}{100} \) = 15 shots
The center makes 50% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{15}{\frac{50}{100}} \) = 15 x \( \frac{100}{50} \) = \( \frac{15 x 100}{50} \) = \( \frac{1500}{50} \) = 30 shots
to make the same number of shots as the guard and thus score the same number of points.
The joule is a unit of measurement for:
energy
The joule is a unit of measurement for energy.
The dimensions of this trapezoid are a = 4, b = 8, c = 7, d = 4, and h = 2. What is the area?
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(8 + 4)(2)
a = ½(12)(2)
a = ½(24) = \( \frac{24}{2} \)
a = 12
What is \( \frac{3}{3} \) - \( \frac{5}{5} \)?
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50]. The first few multiples they share are [15, 30, 45, 60, 75] making 15 the smallest multiple 3 and 5 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{3 x 5}{3 x 5} \) - \( \frac{5 x 3}{5 x 3} \)
\( \frac{15}{15} \) - \( \frac{15}{15} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{15 - 15}{15} \) = \( \frac{0}{15} \) =
A constant velocity (CV) joint is closely related to which of the following?
universal joint
Like CV joints, universal joints (U-joints) are located at each end of a drive shaft and allow the shaft to operate at a variable angle with the item it is driving. Universal joints perform the same basic function as CV joints but CV joints have a wider range of operation.
Which of the following is the smallest component of an element that still retains the properties of the element?
atom
An atom is the smallest component of an element that still retains the properties of the element.