ASVAB Math Knowledge Practice Test 895343 Results

Your Results Global Average
Questions 5 5
Correct 0 3.57
Score 0% 71%

Review

1

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

h x l x w

h2 x l2 x w2

lw x wh + lh

2lw x 2wh + 2lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


2

If angle a = 52° and angle b = 68° what is the length of angle c?

71% Answer Correctly
109°
114°
60°
121°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 52° - 68° = 60°


3

Solve for c:
-6c + 4 = -1 - 8c

60% Answer Correctly
4
-2\(\frac{1}{2}\)
\(\frac{1}{2}\)
\(\frac{4}{5}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-6c + 4 = -1 - 8c
-6c = -1 - 8c - 4
-6c + 8c = -1 - 4
2c = -5
c = \( \frac{-5}{2} \)
c = -2\(\frac{1}{2}\)


4

Which of the following expressions contains exactly two terms?

83% Answer Correctly

polynomial

monomial

binomial

quadratic


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


5

This diagram represents two parallel lines with a transversal. If w° = 32, what is the value of x°?

73% Answer Correctly
19
18
148
34

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
  • same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with w° = 32, the value of x° is 148.