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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
If a = c = 4, b = d = 3, what is the area of this rectangle?
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 4 x 3
a = 12
Cirrus clouds are thin, wispy clouds composed of ice crystals. At what elevation to cirrus clouds form?
high-altitude
Cirrus clouds are thin, wispy high-altitude clouds composed of ice crystals that originate from the freezing of supercooled water droplets. Cirrus clouds generally occur in fair weather and point in the direction of air movement at their elevation.
A tiger in a zoo has consumed 143 pounds of food in 11 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 195 pounds?
If the tiger has consumed 143 pounds of food in 11 days that's \( \frac{143}{11} \) = 13 pounds of food per day. The tiger needs to consume 195 - 143 = 52 more pounds of food to reach 195 pounds total. At 13 pounds of food per day that's \( \frac{52}{13} \) = 4 more days.
What is \( \frac{4}{6} \) + \( \frac{4}{14} \)?
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{4 x 7}{6 x 7} \) + \( \frac{4 x 3}{14 x 3} \)
\( \frac{28}{42} \) + \( \frac{12}{42} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{28 + 12}{42} \) = \( \frac{40}{42} \) = \(\frac{20}{21}\)
Solve for x:
-5x - 3 = \( \frac{x}{-3} \)
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.
-5x - 3 = \( \frac{x}{-3} \)
-3 x (-5x - 3) = x
(-3 x -5x) + (-3 x -3) = x
15x + 9 = x
15x + 9 - x = 0
15x - x = -9
14x = -9
x = \( \frac{-9}{14} \)
x = -\(\frac{9}{14}\)
Which of the following statements about an inline cylinder configuration is false?
works well in eight cylinder engines
An inline cylinder configuration places the cylinders in a single row either completely vertical or slanted. Due to this arrangement, an inline cylinder configuration makes the engine longer and, although it works well in four cylinder engines, performace suffers in larger engines due to the difficulty in evenly distributing the air-fuel mixture over the length of the engine.