ASVAB Math Knowledge Practice Test 107081 Results

Your Results Global Average
Questions 5 5
Correct 0 2.95
Score 0% 59%

Review

1

Solve for z:
z2 - 9 = 0

58% Answer Correctly
9 or -2
3 or -3
-2 or -3
3 or 1

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

z2 - 9 = 0
(z - 3)(z + 3) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 3) or (z + 3) must equal zero:

If (z - 3) = 0, z must equal 3
If (z + 3) = 0, z must equal -3

So the solution is that z = 3 or -3


2

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

diameter

radius

chord

circumference


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).


3

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 - a2

c - a

a2 - c2

c2 + a2


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)


4

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

lw x wh + lh

2lw x 2wh + 2lh

h2 x l2 x w2

h x l x w


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


5

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

75% Answer Correctly

right, obtuse, acute

acute, right, obtuse

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°.