ASVAB Math Knowledge Practice Test 565329 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.84
Score	0%	57%

Review

The endpoints of this line segment are at (-2, -6) and (2, 4). What is the slope-intercept equation for this line?

41% Answer Correctly

	y = -3x - 2
	y = 2\(\frac{1}{2}\)x - 1
	y = 2\(\frac{1}{2}\)x + 3
	y = -3x + 2

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 -1. 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, -6) and (2, 4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = 2\(\frac{1}{2}\)x - 1

If AD = 27 and BD = 18, AB = ?

75% Answer Correctly

	9
	11
	3
	2

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 27 - 18
AB = 9

The endpoints of this line segment are at (-2, 3) and (2, -5). What is the slope of this line?

46% Answer Correctly

	-2\(\frac{1}{2}\)
	2
	-2
	1

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, 3) and (2, -5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)
m = -2

The dimensions of this cylinder are height (h) = 2 and radius (r) = 4. What is the surface area?

48% Answer Correctly

	48π
	84π
	16π
	56π

Solution

The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(4²) + 2π(4 x 2)
sa = 2π(16) + 2π(8)
sa = (2 x 16)π + (2 x 8)π
sa = 32π + 16π
sa = 48π

This diagram represents two parallel lines with a transversal. If b° = 164, what is the value of x°?

72% Answer Correctly

	145
	164
	18
	169

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° = 164, the value of x° is 164.