ASVAB Math Knowledge Practice Test 461954 Results

Your Results Global Average
Questions 5 5
Correct 0 2.92
Score 0% 58%

Review

1

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

75% Answer Correctly

acute, right, obtuse

right, obtuse, acute

acute, obtuse, right

right, acute, obtuse


Solution

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


2

This diagram represents two parallel lines with a transversal. If a° = 11, what is the value of z°?

73% Answer Correctly
38
150
11
32

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 a° = 11, the value of z° is 11.


3

The endpoints of this line segment are at (-2, -1) and (2, -5). What is the slope of this line?

46% Answer Correctly
-2\(\frac{1}{2}\)
-3
-1
2

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -1) and (2, -5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)
m = -1


4

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

\({\Delta y \over \Delta x}\)

x-intercept

slope

y-intercept


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.


5

If the base of this triangle is 8 and the height is 2, what is the area?

58% Answer Correctly
8
27\(\frac{1}{2}\)
56
98

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 8 x 2 = \( \frac{16}{2} \) = 8