ASVAB Math Knowledge Practice Test 718586 Results

Your Results Global Average
Questions 5 5
Correct 0 3.43
Score 0% 69%

Review

1

Solve for y:
y2 - 12y + 27 = 0

58% Answer Correctly
8 or 4
3 or 9
5 or -1
1 or -8

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

y2 - 12y + 27 = 0
(y - 3)(y - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 3) or (y - 9) must equal zero:

If (y - 3) = 0, y must equal 3
If (y - 9) = 0, y must equal 9

So the solution is that y = 3 or 9


2

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

equal angle

equal length

parallel

right angle


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


3

The dimensions of this cube are height (h) = 2, length (l) = 2, and width (w) = 1. What is the surface area?

51% Answer Correctly
78
416
16
348

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 1) + (2 x 1 x 2) + (2 x 2 x 2)
sa = (4) + (4) + (8)
sa = 16


4

This diagram represents two parallel lines with a transversal. If y° = 154, what is the value of c°?

73% Answer Correctly
147
17
164
26

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 y° = 154, the value of c° is 26.


5

A right angle measures:

90% Answer Correctly

360°

45°

180°

90°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.