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Sample Practice Test Questions
Use Ohm's Law to calculate the value of resistance in this circuit if voltage is 40 volts and current is 2 amps.
Ohm's law specifies the relationship between voltage (V), current (I), and resistance (R) in an electrical circuit: V = IR.
Solved for resistance, R = \( \frac{V}{I} \) = \( \frac{40}{2} \) = 20 Ω
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 = -\(\frac{9}{14}\)
Too much air results in a __________ air-fuel mixture that burns more slowly and hotter.
lean
The stoichiometric ratio defines the proper ratio of air to fuel necessary so that an engine burns all fuel with no excess air. For gasoline fuel, the stoichiometric ratio is about 14.7:1 or for every one gram of fuel, 14.7 grams of air are required. Too much air results in a lean air-fuel mixture that burns more slowly and hotter while too much fuel results in a rich mixture that burns quicker and cooler.
Which of the following is the formula for hydraulic pressure?
P = F/A
Hydraulics is the transmission of force through the use of liquids. Liquids are especially suited for transferring force in complex machines because they compress very little and can occupy very small spaces. Hydraulic pressure is calculated by dividing force by the area over which it is applied: P = F/A where F is force in pounds, A is area in square inches, and the resulting pressure is in pounds per square inch (psi).
Which of the following is true about species groups?
a community is made up of a group of populations
A population is a group of organisms of the same species who live in the same area at the same time. A community is a group of populations living and interacting with each other in an area.
The force exerted on an object due to gravity is called:
weight
Mass is an intrinsic property of matter and does not vary. Weight is the force exerted on the mass of an object due to gravity and a specific case of Newton's Second Law of Motion. Replace force with weight and acceleration with acceleration due to gravity on Earth (g) and the result is the formula for weight: W = mg or, substituting for g, weight equals mass multiplied by 9.8 m/s2.
Breaking apart a quadratic expression into a pair of binomials is called:
factoring
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
A bread recipe calls for 2\(\frac{1}{4}\) cups of flour. If you only have 1\(\frac{5}{8}\) cups, how much more flour is needed?
The amount of flour you need is (2\(\frac{1}{4}\) - 1\(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{18}{8} \) - \( \frac{13}{8} \)) cups
\( \frac{5}{8} \) cups
\(\frac{5}{8}\) cups