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Sample Practice Test Questions
a(b + c) = ab + ac defines which of the following?
distributive property for multiplication
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 38,000 seats in a stadium are filled, how many home fans are in attendance?
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
38,000 fans x \( \frac{3}{4} \) = \( \frac{114000}{4} \) = 28,500 fans.
The firing order of the cylinders in an engine can be found by:
observing the order in which the intake valves open
The firing order of the cylinders in an engine is different than the cynlinder numbers and can be found by observing the order in which the intake valves open.
If a = 4, b = 2, c = 9, and d = 4, what is the perimeter of this quadrilateral?
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 2 + 9 + 4
p = 19
The crust and lithosphere of the Earth is made up of which of the following?
plates
The crust and the rigid lithosphere (upper mantle) is made up approximately thirty separate plates. These plates more very slowly on the slightly more liquid mantle (asthenosphere) beneath them. This movement has resulted in continental drift which is the gradual movement of land masses across Earth's surface. Continental drift is a very slow process, occurring over hundreds of millions of years.
Which of the following determines whether a socket can be used with a particular ratchet?
the drive size
A ratchet (or socket wrench) is a wrench that applies torque in only one direction with a handle that can be moved back and forth without losing contact with the fastener. A ratchet uses variable attachments called sockets which come in a variety of drive sizes based on the size of the opening that attaches to the ratchet. Sockets with the same drive size will vary in the shape (six-point, twelve-point) and size of the nut opening that attaches to the fastener being tightened or loosened. Smaller point sized sockets are stronger and can apply greater torque while larger point sizes allow easier alignment.
You would measure the amount of current through a circuit with a(n):
ammeter
Current is the rate of flow of electrons per unit time and is measured in amperes (A). An ammeter is used to measure the electric current in a circuit.
\({b + c \over a} = {b \over a} + {c \over a}\) 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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
In cell biology, what part of the cell contains organelles?
cytoplasm
The nucleus of a eukaryotic cell contains the genetic material of the cell and is surrounded by cytoplasm which contains many organelles.