ASVAB Arithmetic Reasoning Practice Test 327096 Results

Your Results Global Average
Questions 5 5
Correct 0 3.19
Score 0% 64%

Review

1

What is c2 x 3c4?

75% Answer Correctly
3c6
3c2
3c8
4c8

Solution

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

c2 x 3c4
(1 x 3)c(2 + 4)
3c6


2

53% Answer Correctly
0.6
1
1.2
9.0

Solution


1


3

If all of a roofing company's 15 workers are required to staff 5 roofing crews, how many workers need to be added during the busy season in order to send 8 complete crews out on jobs?

55% Answer Correctly
12
2
9
8

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 15 workers at the company now and that's enough to staff 5 crews so there are \( \frac{15}{5} \) = 3 workers on a crew. 8 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 8 x 3 = 24 total workers to staff the crews during the busy season. The company already employs 15 workers so they need to add 24 - 15 = 9 new staff for the busy season.


4

A triathlon course includes a 200m swim, a 50.1km bike ride, and a 5.2km run. What is the total length of the race course?

69% Answer Correctly
46.6km
55.5km
57.5km
62.7km

Solution

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.2km + 50.1km + 5.2km
total distance = 55.5km


5

Convert x-3 to remove the negative exponent.

68% Answer Correctly
\( \frac{1}{x^{-3}} \)
\( \frac{1}{x^3} \)
\( \frac{-1}{x^{-3}} \)
\( \frac{3}{x} \)

Solution

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