ASVAB Math Knowledge Practice Test 178724 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.05
Score	0%	61%

Review

Factor y² - 5y - 6

54% Answer Correctly

	(y - 6)(y + 1)
	(y - 6)(y - 1)
	(y + 6)(y + 1)
	(y + 6)(y - 1)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -6 as well and sum (Inside, Outside) to equal -5. For this problem, those two numbers are -6 and 1. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² - 5y - 6
y² + (-6 + 1)y + (-6 x 1)
(y - 6)(y + 1)

If a = c = 7, b = d = 8, and the blue angle = 63°, what is the area of this parallelogram?

66% Answer Correctly

	20
	56
	36
	30

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 7 x 8
a = 56

The dimensions of this cylinder are height (h) = 5 and radius (r) = 7. What is the volume?

63% Answer Correctly

	576π
	50π
	245π
	294π

Solution

The volume of a cylinder is πr²h:

v = πr²h
v = π(7² x 5)
v = 245π

If BD = 20 and AD = 21, AB = ?

76% Answer Correctly

	1
	17
	6
	20

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 = 21 - 20
AB = 1

On this circle, line segment CD is the:

46% Answer Correctly

	chord
	circumference
	diameter
	radius

Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).