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Sample Practice Test Questions

Math Knowledge

Solve 3a + 2a = 9a - 9x + 8 for a in terms of x.

1\(\frac{5}{6}\)x - 1\(\frac{1}{3}\)

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 + 2x = 9a - 9x + 8
3a = 9a - 9x + 8 - 2x
3a - 9a = -9x + 8 - 2x
-6a = -11x + 8
a = \( \frac{-11x + 8}{-6} \)
a = \( \frac{-11x}{-6} \) + \( \frac{8}{-6} \)
a = 1\(\frac{5}{6}\)x - 1\(\frac{1}{3}\)

Word Knowledge
Kim, an eloquent speaker, was the best choice to make the presentation for the group.
articulate
Fluent, expressive.
General Science

Examples of primary consumers include:

cows

Primary consumers (herbivores) subsist on producers like plants and fungus.  Examples are grasshoppers, cows, and plankton.

General Science

The formula  \(\vec{F_{g}} = { Gm_{1}m_{2} \over r^2}\) applies to which of Newton's laws?

universal gravitation

Newton's law of universal gravitation defines gravity: All objects in the universe attract each other with an equal force that varies directly as a product of their masses, and inversely as a square of their distance from each other. Expressed as a formula:  \(\vec{F_{g}} = { Gm_{1}m_{2} \over r^2}\) where r is the distance between the two objects and G is the gravitational constant with a value of 6.67 x 10-11.

Mechanical Comprehension

A fixed pulley is useful for which of the following?

changing the direction of the input force

A fixed pulley is used to change the direction of a force and does not multiply the force applied. As such, it has a mechanical advantage of one. The benefit of a fixed pulley is that it can allow the force to be applied at a more convenient angle, for example, pulling downward or horizontally to lift an object instead of upward.

General Science

Plant cells are surrounded by:

a cell membrane and a cell wall

Animal cells are surrounded by a semipermeable membrane which allows for the transfer of water and oxygen to and from the cell. In plant cells, the cell membrane is surrounded by a somewhat rigid cell wall which provides the cell structure and support.

General Science

Which of the following states of matter exists at the lowest temperature?

solid

Solids exist at a lower temperature than liquids which exist at a lower temperature than gases.

Arithmetic Reasoning

What is 7\( \sqrt{4} \) x 6\( \sqrt{4} \)?

168

To multiply terms with radicals, multiply the coefficients and radicands separately:

7\( \sqrt{4} \) x 6\( \sqrt{4} \)
(7 x 6)\( \sqrt{4 \times 4} \)
42\( \sqrt{16} \)

Now we need to simplify the radical:

42\( \sqrt{16} \)
42\( \sqrt{4^2} \)
(42)(4)
168

General Science

Which of the following is the correct order for types of radiation from longest to shortest wavelength?

radio waves → visible light → gamma rays

The electromagnetic spectrum covers all possible wavelengths and frequencies of radiation.  From lowest frequency (longest wavelength) to highest frequency (shortest wavelength) radiation: radio waves → microwaves → infrared waves → visible light → ultraviolet light → X-rays → gamma rays.

General Science

In the water cycle, infiltration is most closely related to:

water table

The water then accumulates as runoff and eventually returns to bodies of water or is absorbed into the Earth (infiltration) and becomes part of the water table, an underground resevoir of fresh water.