ASVAB Arithmetic Reasoning Practice Test 616873 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.09
Score	0%	62%

Review

If $ \left|b + 6\right| $ + 1 = 9, which of these is a possible value for b?

62% Answer Correctly

	24
	-14
	6
	-8

Solution

First, solve for $ \left|b + 6\right| $:

The value inside the absolute value brackets can be either positive or negative so (b + 6) must equal + 8 or -8 for $ \left|b + 6\right| $ to equal 8:

b + 6 = 8
b = 8 - 6
b = 2

b + 6 = -8
b = -8 - 6
b = -14

So, b = -14 or b = 2.

Convert c^-4 to remove the negative exponent.

68% Answer Correctly

	$ \frac{1}{c^4} $
	$ \frac{-1}{-4c^{4}} $
	$ \frac{1}{c^{-4}} $
	$ \frac{-1}{c^{-4}} $

Solution

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.

Frank loaned Frank $200 at an annual interest rate of 4%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly

	$24
	$30
	$8
	$63

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = ($ \frac{6}{100} $) x $200
i = 0.04 x $200
i = $8

If all of a roofing company's 8 workers are required to staff 4 roofing crews, how many workers need to be added during the busy season in order to send 6 complete crews out on jobs?

55% Answer Correctly

	9
	4
	16
	5

Solution

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 8 workers at the company now and that's enough to staff 4 crews so there are $ \frac{8}{4} $ = 2 workers on a crew. 6 crews are needed for the busy season which, at 2 workers per crew, means that the roofing company will need 6 x 2 = 12 total workers to staff the crews during the busy season. The company already employs 8 workers so they need to add 12 - 8 = 4 new staff for the busy season.

How many 1 gallon cans worth of fuel would you need to pour into an empty 4 gallon tank to fill it exactly halfway?

52% Answer Correctly

	2
	4
	8
	9

Solution

To fill a 4 gallon tank exactly halfway you'll need 2 gallons of fuel. Each fuel can holds 1 gallons so:

cans = $ \frac{2 \text{ gallons}}{1 \text{ gallons}} $ = 2

	\( \frac{1}{c^4} \)
	\( \frac{-1}{-4c^{4}} \)
	\( \frac{1}{c^{-4}} \)
	\( \frac{-1}{c^{-4}} \)