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Sample Practice Test Questions
Solve 3a + 2a = 9a - 9z + 8 for a in terms of z.
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
3a + 2z = 9a - 9z + 8
3a = 9a - 9z + 8 - 2z
3a - 9a = -9z + 8 - 2z
-6a = -11z + 8
a = \( \frac{-11z + 8}{-6} \)
a = \( \frac{-11z}{-6} \) + \( \frac{8}{-6} \)
a = 1\(\frac{5}{6}\)z - 1\(\frac{1}{3}\)
Which of the following is not a characteristic of the Sun?
formed 2.6 billion years ago
The Sun is a G-type main-sequence star (G2V) but is informally known as a yellow dwarf star. Composed of 73% hydrogen and 25% helium, the hot plasma that makes up the Sun reaches 9,900°F (5,505°C) at the surface. It formed approximately 4.6 billion years ago and makes up 99.86% of the mass in the solar system.
On Earth, acceleration due to gravity (g) is approximately __________.
9.8 m/s2
Newton's Law of Univeral Gravitation defines the general formula for the attraction of gravity between two objects: \(\vec{F_{g}} = { Gm_{1}m_{2} \over r^2}\) . In the specific case of an object falling toward Earth, the acceleration due to gravity (g) is approximately 9.8 m/s2.
Connected gears of different numbers of teeth are used together to change which of the following charasteristics of the input force?
torque
Connected gears of different numbers of teeth are used together to change the rotational speed and torque of the input force. If the smaller gear drives the larger gear, the speed of rotation will be reduced and the torque will increase. If the larger gear drives the smaller gear, the speed of rotation will increase and the torque will be reduced.
Reproductive haploids are also known as:
gametes
Reproductive (haploid) cells known as gametes have half as many (23) pairs of chromosomes as normal (diploid) cells. When the male gamete (sperm) combines with the female gamete (ovum) through meiosis to form a zygote, each gamete supplies half the chromosomes needed to form the normal diploid cells.
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
For inline cylinder arrangements in an engine, how are the cylinders numbered?
sequentially from the front of the engine to the back
Inline cylinder arrangements number cylinders sequentially (1, 2, 3, ...) front to rear.
A box is resting on a smooth floor. Static friction is present:
when an attempt is made to move the box
For any given surface, the coefficient of static friction is higher than the coefficient of kinetic friction. More force is required to initally get an object moving than is required to keep it moving. Additionally, static friction only arises in response to an attempt to move an object (overcome the normal force between it and the surface).