ASVAB Math Knowledge Practice Test 975126 Results

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

Review

1

Solve for z:
z2 + 6z + 5 = 0

58% Answer Correctly
-3 or -3
-1 or -5
7 or -2
6 or -5

Solution

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

z2 + 6z + 5 = 0
(z + 1)(z + 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 1) or (z + 5) must equal zero:

If (z + 1) = 0, z must equal -1
If (z + 5) = 0, z must equal -5

So the solution is that z = -1 or -5


2

Solve for x:
-9x - 9 > -6 - 6x

55% Answer Correctly
x > 9
x > -1\(\frac{1}{2}\)
x > -1
x > 1

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

-9x - 9 > -6 - 6x
-9x > -6 - 6x + 9
-9x + 6x > -6 + 9
-3x > 3
x > \( \frac{3}{-3} \)
x > -1


3

The dimensions of this cube are height (h) = 7, length (l) = 5, and width (w) = 2. What is the surface area?

51% Answer Correctly
54
258
136
118

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 5 x 2) + (2 x 2 x 7) + (2 x 5 x 7)
sa = (20) + (28) + (70)
sa = 118


4

This diagram represents two parallel lines with a transversal. If z° = 40, what is the value of c°?

73% Answer Correctly
144
143
40
158

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 z° = 40, the value of c° is 40.


5

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

h x l x w

2lw x 2wh + 2lh

lw x wh + lh

h2 x l2 x w2


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.