ASVAB Math Knowledge Practice Test 828314 Results

Your Results Global Average
Questions 5 5
Correct 0 3.40
Score 0% 68%

Review

1

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

h2 x l2 x w2

2lw x 2wh + 2lh

h x l x w

lw x wh + lh


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.


2

What is 3a3 - 5a3?

74% Answer Correctly
-2
-2a3
-2a6
15a6

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

3a3 - 5a3 = -2a3


3

What is 3a + 7a?

81% Answer Correctly
10
21a2
10a
21a

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

3a + 7a = 10a


4

Solve for x:
3x - 2 > \( \frac{x}{-8} \)

44% Answer Correctly
x > -2\(\frac{16}{19}\)
x > \(\frac{16}{25}\)
x > -2\(\frac{8}{17}\)
x > -5\(\frac{1}{4}\)

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.

3x - 2 > \( \frac{x}{-8} \)
-8 x (3x - 2) > x
(-8 x 3x) + (-8 x -2) > x
-24x + 16 > x
-24x + 16 - x > 0
-24x - x > -16
-25x > -16
x > \( \frac{-16}{-25} \)
x > \(\frac{16}{25}\)


5

This diagram represents two parallel lines with a transversal. If w° = 28, what is the value of x°?

73% Answer Correctly
148
17
152
153

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 w° = 28, the value of x° is 152.