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Sample Practice Test Questions

Math Knowledge

Solve for a:
a2 + 6a - 13 = -a + 5

2 or -9

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:

a2 + 6a - 13 = -a + 5
a2 + 6a - 13 - 5 = -a
a2 + 6a + a - 18 = 0
a2 + 7a - 18 = 0

Next, factor the quadratic equation:

a2 + 7a - 18 = 0
(a - 2)(a + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 2) or (a + 9) must equal zero:

If (a - 2) = 0, a must equal 2
If (a + 9) = 0, a must equal -9

So the solution is that a = 2 or -9

Automotive Information

The __________ splits engine power between the front and rear axles of four-wheel drive vehicles.

transfer case

The transfer case splits engine power between the front and rear axles of four-wheel drive vehicles.

General Science

In the Periodic Table of the Elements, elements in the same column belong to the same:

group

The columns of the Periodic Table are called groups and all elements in a group have the same number of electrons in their outer electron shell. The group that an element occupies generally determines its chemical properties as the number of outer shell electrons establishes the way it reacts with other elements to form molecules. So, because each element has the same number of electrons in its outer shell, each has similar reactivity.

Word Knowledge
Liability most nearly means:
handicap
A person or thing whose presence or behavior is likely to cause embarrassment or put one at a disadvantage.
Word Knowledge
Lurid most nearly means:
gruesome
Causing horror, shocking.
General Science

Reproductive haploids are also known as:

gametes

Reproductive (haploid) cells known as gametes have half as many (23) pairs of chromosomes as normal (diploid) cells. When the male gamete (sperm) combines with the female gamete (ovum) through meiosis to form a zygote, each gamete supplies half the chromosomes needed to form the normal diploid cells.

Shop Information

You're creating a tube out of a sheet of metal. What type of fastener are you likely to use?

rivet

A nail is a short pin-shaped shaft of steel that's typically used to fasten pieces of wood together. It has a flat head on one end and a point on the other. A rivet consists of a cylindrical shaft with a head on one end and a tail on the other. When the rivet is installed, the tail is expanded and reshaped to form another head, creating a dumbell shape that will hold two surfaces together semi-permanently.

Shop Information

Which of the following statements about drill bits is not true?

drill bits are primarily left-handed

Drill bits remove material to create holes. They come in a variety of sizes, maxing out at ¼" for woodworking and ½" for metalworking. The majority of drill bits are right-handed which means they cut while rotating in a clockwise direction.

Word Knowledge
The drab winter scene made Keisha long for the vibrant colors of spring.
dreary
Dull, monotonous.
Electronics Information

The conductivity of an element depends on how many electrons occupy which electron shell?

outer

All electricity is the movement of electrons which are subatomic particles that orbit the nucleus of an atom. Electrons occupy various energy levels called shells and how well an element enables the flow of electrons depends on how many electrons occupy its outer (valence) electron shell.