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Sample Practice Test Questions
Simplify (y + 8)(y + 3)
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 8)(y + 3)
(y x y) + (y x 3) + (8 x y) + (8 x 3)
y2 + 3y + 8y + 24
y2 + 11y + 24
Herbivores are __________ that subsist on producers like plants and fungus.
primary consumers
Primary consumers (herbivores) subsist on producers like plants and fungus. Examples are grasshoppers, cows, and plankton.
The gear ratio (Vr) of a gear train is the product of the gear ratios between the pairs of meshed gears. Let N represent the number of teeth for each gear:
Vr = \( \frac{N_1}{N_2} \) \( \frac{N_2}{N_3} \) \( \frac{N_3}{N_4} \) ... \( \frac{N_n}{N_{n+1}} \)
In this problem, we have only two gears so the equation becomes:Vr = \( \frac{N_1}{N_2} \) = \( \frac{32}{4} \) = 8
Which of the following maintains pressure in the cooling system?
radiator cap
The radiator is responsible for tranferring heat from the coolant to the outside air. Radiator hoses transfer coolant to and from the engine to the radiator and a radiator cap maintains pressure in the cooling system to increase the boiling point of the coolant mixture and thus allow it to absorb more heat.
The __________ is an initial shallow saw cut made as a guide to prevent the saw from slipping sideways on subsequent more powerful cuts.
kerf
When you start sawing by creating a kerf it will help prevent the saw from slipping sideways when you begin the power strokes that do most of the cutting.
Normal force is generally equal to the __________ of an object.
weight
Normal force arises on a flat horizontal surface in response to an object's weight pressing it down. Consequently, normal force is generally equal to the object's weight.
What is \( \frac{-7a^5}{7a^4} \)?
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-7a^5}{7a^4} \)
\( \frac{-7}{7} \) a(5 - 4)
-a
The four planets closest to the Sun are called terrestrial. What does terrestrial mean?
the planets are Earth-like
The four planets closest to the Sun (Mercury, Venus, Earth, and Mars) are called terrestrial (Earth-like) planets because, like the Earth, they're solid with inner metal cores covered by rocky surfaces.