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Sample Practice Test Questions
Solve for b:
b2 + 6b - 13 = -b + 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:
b2 + 6b - 13 = -b + 5
b2 + 6b - 13 - 5 = -b
b2 + 6b + b - 18 = 0
b2 + 7b - 18 = 0
Next, factor the quadratic equation:
b2 + 7b - 18 = 0
(b - 2)(b + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 2) or (b + 9) must equal zero:
If (b - 2) = 0, b must equal 2
If (b + 9) = 0, b must equal -9
So the solution is that b = 2 or -9
When light travels between two substances it bends. This is called:
refraction
Because different materials have different refractive indices, light changes speed when passing from one material to another. This causes the light to bend (refraction) at an angle that depends on the change in refractive index between the materials. The greater the difference, the higher the angle of refraction.
Engines with radial cylinder configurations are most common in:
aircraft engines
A radial arrangement places cylinders in a circle around the crankshaft and is used almost exclusively in aircraft engines.
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.
A ramp is an example of which kind of simple machine?
inclined plane
An inclined plane is a simple machine that reduces the force needed to raise an object to a certain height. Work equals force x distance and, by increasing the distance that the object travels, an inclined plane reduces the force necessary to raise it to a particular height. In this case, the mechanical advantage is to make the task easier. An example of an inclined plane is a ramp.
A human heart consists of how many chambers?
4
The heart is the organ that drives the circulatory system. In humans, it consists of four chambers with two that collect blood called atria and two that pump blood called ventricles. The heart's valves prevent blood pumped out of the ventricles from flowing back into the heart.
A screw is most like which of the following other simple machines?
inclined plane
A screw is an inclined plane wrapped in ridges (threads) around a cylinder. The distance between these ridges defines the pitch of the screw and this distance is how far the screw advances when it is turned once. The mechanical advantage of a screw is its circumference divided by the pitch.
Coolant is circulated through the engine by the:
water pump
The water pump is driven by a belt connected to the crankshaft and ensures that coolant moves through the engine and radiator.
The Earth's rocks fall into three categories based on how they're formed. Which of the following is formed by the gradual depositing of small rocks?
sedimentary
The Earth's rocks fall into three categories based on how they're formed. Igneous rock (granite, basalt, obsidian) is formed from the hardening of molten rock (lava), sedimentary rock (shale, sandstone, coal) is formed by the gradual despositing and cementing of rock and other debris, and metamorphic rock (marble, slate, quartzite) which is formed when existing rock is altered though pressure, temperature, or chemical processes.
Examples of tertiary consumers include:
sharks
Tertiary consumers eat primary consumers and secondary consumers and are typically carnivorous predators. Tertiary consumers may also be omnivores. Examples include wolves, sharks, and human beings.