QUESTION: 101

What is the product of (z + 2) (2z − 3)?

3z − 6
z + 4z − 3
z2 + 4z − 6
2z2 + z − 6

Answer(s): D

Explanation:

An easy way to perform the multiplication is to do four separate multiplications. Then the procedure looks like ordinary multiplication in arithmetic.
Multiply (2z − 3) by 2 Multiply (2z − 3) by z
Add the partial products as you do in arithmetic.

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QUESTION: 102

The suburb of Hewitt has a private subdivision that has a pool in the shape of a quadrilateral.
If the subdivision wants to put a lifeguard on each side of the pool, how many lifeguards will be needed?

eight
six
four
three

Answer(s): C

Explanation:

Since a quadrilateral is a four-sided figure, the subdivision will need four lifeguards. A quadrilateral, by definition, has four sides.
Whether the sides are parallel – a parallelogram – or if all four sides are equal and all four angles are right angles – a square – there are still four sides, and, therefore, four lifeguards.

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QUESTION: 103

If you cut the largest possible circular tabletop from a square whose sides measure two feet each, how much wood is wasted? Use 3.14 for π.

1 square foot
1.86 square feet
5.86 square feet
0.86 square feet

Answer(s): D

Explanation:

Step 1: Find the area of the square. 2 feet × 2 feet = 4 square feet
Step 2: Find the area of the circle, using the formula A = πr2. (The radius equals half the diameter; the diameter of this circle is 2 feet – the same length as one side of the square.) 3.14 × r2 = 3.14 × 12 = 3.14 square feet Step 3: Subtract 3.14 square feet from 4 square feet to find the wood that is wasted, 0.86 square feet.

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QUESTION: 104

Solve for x:
3x + 2 = −13

x = 13
x = −41/3
x = 8
x = −5

Answer(s): D

Explanation:

Step 1: Subtract 2 from each side of the equation in order to eliminate -2 from the left side. (You are undoing the addition.)
3x + 2 − 2 = −13 − 2
3x = −15
Step 2: Now divide each side by 3 to find x. (You are undoing the multiplication.) 3x/3 = −15/3
x = −5

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Free ASVAB Section 6: Mathematics Knowledge Exam Braindumps (page: 26)

QUESTION: 101

Explanation:

QUESTION: 102

Explanation:

QUESTION: 103

Explanation:

QUESTION: 104

Explanation: