ASVAB Arithmetic Reasoning Practice Test 179295 Results

Your Results Global Average
Questions 5 5
Correct 0 3.35
Score 0% 67%

Review

1

How many hours does it take a car to travel 240 miles at an average speed of 40 miles per hour?

85% Answer Correctly
6 hours
7 hours
9 hours
8 hours
Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{240mi}{40mph} \)
6 hours

2

Which of these numbers is a factor of 36?

68% Answer Correctly
35
4
23
32
Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.

3

If \( \left|x - 2\right| \) + 1 = 1, which of these is a possible value for x?

62% Answer Correctly
2
3
-10
10
Solution

First, solve for \( \left|x - 2\right| \):

\( \left|x - 2\right| \) + 1 = 1
\( \left|x - 2\right| \) = 1 - 1
\( \left|x - 2\right| \) = 0

The value inside the absolute value brackets can be either positive or negative so (x - 2) must equal + 0 or -0 for \( \left|x - 2\right| \) to equal 0:

x - 2 = 0
x = 0 + 2
x = 2
 x - 2 = 0
x = 0 + 2
x = 2

So, x = 2 or x = 2.

4

52% Answer Correctly
1
4.2
4.5
7.2
Solution


1

5

Convert b-4 to remove the negative exponent.

67% Answer Correctly
\( \frac{-1}{-4b} \)
\( \frac{-1}{b^{-4}} \)
\( \frac{1}{b^4} \)
\( \frac{-1}{-4b^{4}} \)
Solution

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