ASVAB Math Knowledge Practice Test 597133 Results

Your Results Global Average
Questions 5 5
Correct 0 3.18
Score 0% 64%

Review

1

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

70% Answer Correctly

parallel

equal angle

equal length

right angle


Solution

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


2

Solve -2b + b = -3b + 3x - 5 for b in terms of x.

34% Answer Correctly
-1\(\frac{3}{7}\)x - \(\frac{5}{7}\)
-\(\frac{2}{9}\)x - \(\frac{8}{9}\)
2x - 5
-3\(\frac{2}{3}\)x + 1\(\frac{2}{3}\)

Solution

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

-2b + x = -3b + 3x - 5
-2b = -3b + 3x - 5 - x
-2b + 3b = 3x - 5 - x
b = 2x - 5


3

This diagram represents two parallel lines with a transversal. If w° = 30, what is the value of x°?

73% Answer Correctly
159
20
26
150

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° = 30, the value of x° is 150.


4

A right angle measures:

90% Answer Correctly

90°

45°

180°

360°


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.


5

The dimensions of this cube are height (h) = 1, length (l) = 9, and width (w) = 7. What is the surface area?

51% Answer Correctly
88
118
350
158

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 9 x 7) + (2 x 7 x 1) + (2 x 9 x 1)
sa = (126) + (14) + (18)
sa = 158