ASVAB Math Knowledge Practice Test 439598 Results

Your Results Global Average
Questions 5 5
Correct 0 3.66
Score 0% 73%

Review

1

A right angle measures:

91% Answer Correctly

45°

180°

360°

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.


2

The dimensions of this cube are height (h) = 7, length (l) = 3, and width (w) = 1. What is the volume?

83% Answer Correctly
168
40
128
21

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 7 x 3 x 1
v = 21


3

A(n) __________ is two expressions separated by an equal sign.

77% Answer Correctly

equation

formula

expression

problem


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.


4

This diagram represents two parallel lines with a transversal. If b° = 153, what is the value of w°?

73% Answer Correctly
27
167
34
148

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 b° = 153, the value of w° is 27.


5

The endpoints of this line segment are at (-2, -1) and (2, 7). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -2\(\frac{1}{2}\)x - 3
y = -2\(\frac{1}{2}\)x - 1
y = 2x + 3
y = -3x + 0

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 3. 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, 7) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(7.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2

Plugging these values into the slope-intercept equation:

y = 2x + 3