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Sample Practice Test Questions
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Damon buys two shirts, each with a regular price of $39, how much will he pay for both shirts?
By buying two shirts, Damon will save $39 x \( \frac{50}{100} \) = \( \frac{$39 x 50}{100} \) = \( \frac{$1950}{100} \) = $19.50 on the second shirt.
So, his total cost will be
$39.00 + ($39.00 - $19.50)
$39.00 + $19.50
$58.50
Water freezing or boiling is an example of which of the following?
phase transition
A substance undergoes a phase transition when it moves from one state of matter to another, for example, when water freezes or boils.
A factor is a positive __________ that divides evenly into a given number.
integer
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
The formula specifying Ohm's law is which of the following?
V = IR
Ohm's law specifies the relationship between voltage (V), current (I), and resistance (R) in an electrical circuit: V = IR.
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 20 gallon tank to fill it exactly halfway?
To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{10 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 4
Solve for a:
-6a + 9 = -7 + 7a
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-6a + 9 = -7 + 7a
-6a = -7 + 7a - 9
-6a - 7a = -7 - 9
-13a = -16
a = \( \frac{-16}{-13} \)
a = 1\(\frac{3}{13}\)
This problem describes an inclined plane and, for an inclined plane, the effort force multiplied by the effort distance equals the resistance force multipied by the resistance distance:
Fede = Frdr
Plugging in the variables from this problem yields:
Fe x 14 ft. = 290 lbs. x 2 ft.
Fe = \( \frac{580 ft⋅lb}{14 ft.} \) = 41.4 lbs.