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Sample Practice Test Questions
If \( \left|x + 9\right| \) - 3 = 7, which of these is a possible value for x?
First, solve for \( \left|x + 9\right| \):
\( \left|x + 9\right| \) - 3 = 7
\( \left|x + 9\right| \) = 7 + 3
\( \left|x + 9\right| \) = 10
The value inside the absolute value brackets can be either positive or negative so (x + 9) must equal + 10 or -10 for \( \left|x + 9\right| \) to equal 10:
| x + 9 = 10 x = 10 - 9 x = 1 | x + 9 = -10 x = -10 - 9 x = -19 |
So, x = -19 or x = 1.
The standard unit of energy is the:
Joule
The Joule (J) is the standard unit of energy and has the unit \({kg \times m^2} \over s^2\).
Changes to an object's speed or direction of motion are caused by which of the following?
a force
Force is applied to change an object's speed or direction of motion.
Solve for a:
-5a - 3 = \( \frac{a}{-3} \)
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.
-5a - 3 = \( \frac{a}{-3} \)
-3 x (-5a - 3) = a
(-3 x -5a) + (-3 x -3) = a
15a + 9 = a
15a + 9 - a = 0
15a - a = -9
14a = -9
a = \( \frac{-9}{14} \)
a = -\(\frac{9}{14}\)
How many 8-passenger vans will it take to drive all 97 members of the football team to an away game?
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{97}{8} \) = 12\(\frac{1}{8}\)
So, it will take 12 full vans and one partially full van to transport the entire team making a total of 13 vans.
"The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object." This describes which of Newton's laws of motion?
second
Newton's second law of motion states that The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object. This law basically means that the greater the mass of an object, the more force is needed to overcome its inertia.
The right front wheel of your front-wheel drive car drops into a pothole and the left front wheel doesn't lose contact with the road. Which of the following is true?
your car has an independent front suspension
An independent suspension allows the wheels on either side of an axle to move independently from each other. The fact that the left front wheel didn't move up in response to the right front wheel moving down is evidence of this.
Friction resists movement in a direction __________ to the movement.
opposite
Friction resists movement. Kinetic (also called sliding or dynamic) friction resists movement in a direction opposite to the movement. Because it opposes movement, kinetic friction will eventually bring an object to a stop. An example is a rock that's sliding across ice.
Vector quantities are fully described by which of the following?
a magnitude and a direction
Velocity and displacement are vector quantities which means each is fully described by both a magnitude and a direction. In contrast, scalar quantities are quantities that are fully described by a magnitude only. A variable indicating a vector quantity will often be shown with an arrow symbol: \(\vec{v}\)