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Sample Practice Test Questions
Solve for x:
x2 + 6x - 13 = -x + 5
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
x2 + 6x - 13 = -x + 5
x2 + 6x - 13 - 5 = -x
x2 + 6x + x - 18 = 0
x2 + 7x - 18 = 0
Next, factor the quadratic equation:
x2 + 7x - 18 = 0
(x - 2)(x + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 2) or (x + 9) must equal zero:
If (x - 2) = 0, x must equal 2
If (x + 9) = 0, x must equal -9
So the solution is that x = 2 or -9
Which of the following tools are you more likely to use when woodworking?
chisel
A chisel has a long sharp edge and is used, often in conjunction with a hammer, for cutting. In woodworking, chisels are used to remove large sections of wood to create the initial shape of a design. In metalworking, chisels are used to remove waste metal when a smooth finish is not required.
Simplify \( \sqrt{8} \)
To simplify a radical, factor out the perfect squares:
\( \sqrt{8} \)
\( \sqrt{4 \times 2} \)
\( \sqrt{2^2 \times 2} \)
2\( \sqrt{2} \)
Which of these materials is not a good conductor of electricity?
air
All conductors have resistance and the amount of resistance varies with the element. In general, metals make the best conductors of electricity and non-metals make the worst conductors of electricity.
Small rocks shed by asteroids and comets that reach the earth are called:
meteorites
Smaller rocks shed by asteroids and comets are called meteoroids. When these rocks reach Earth's atmosphere, they burn up in the mesosphere and become meteors. If a meteor manages to reach the Earth, it is called a meteorite.
In an electrical circuit, resistors have fixed or __________ resistance.
variable
Resistors are used to limit voltage and/or current in a circuit and can have a fixed or variable resistance. Variable resistors (often called potentiometers or rheostats) are used when dynamic control over the voltage/current in a circuit is needed, for example, in a light dimmer or volume control.
Which class of lever is used to increase force on an object in the same direction as the force is applied?
second
A second-class lever is used to increase force on an object in the same direction as the force is applied. This lever requires a smaller force to lift a larger load but the force must be applied over a greater distance. The fulcrum is placed at one end of the lever and mechanical advantage increases as the object being lifted is moved closer to the fulcrum or the length of the lever is increased. An example of a second-class lever is a wheelbarrow.