ASVAB Math Knowledge Practice Test 327170 Results

Your Results Global Average
Questions 5 5
Correct 0 3.82
Score 0% 76%

Review

1

Simplify 5a x 8b.

85% Answer Correctly
40a2b2
40ab
40\( \frac{a}{b} \)
40\( \frac{b}{a} \)

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

5a x 8b = (5 x 8) (a x b) = 40ab


2

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

acute, obtuse, right

acute, right, obtuse

right, obtuse, acute

right, acute, obtuse


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


3

This diagram represents two parallel lines with a transversal. If c° = 26, what is the value of w°?

72% Answer Correctly
153
40
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 c° = 26, the value of w° is 26.


4

A right angle measures:

90% Answer Correctly

180°

45°

90°

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

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

obtuse, acute

vertical, supplementary

supplementary, vertical

acute, obtuse


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).