ASVAB Arithmetic Reasoning Practice Test 548016 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

If \( \left|x + 0\right| \) - 3 = 8, which of these is a possible value for x?

62% Answer Correctly
0
11
17
4

Solution

First, solve for \( \left|x + 0\right| \):

\( \left|x + 0\right| \) - 3 = 8
\( \left|x + 0\right| \) = 8 + 3
\( \left|x + 0\right| \) = 11

The value inside the absolute value brackets can be either positive or negative so (x + 0) must equal + 11 or -11 for \( \left|x + 0\right| \) to equal 11:

x + 0 = 11
x = 11 + 0
x = 11
x + 0 = -11
x = -11 + 0
x = -11

So, x = -11 or x = 11.


2

What is -7z6 + 4z6?

66% Answer Correctly
-3z6
-3z36
11z-6
11z6

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-7z6 + 4z6
(-7 + 4)z6
-3z6


3

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Bob buys two shirts, each with a regular price of $42, how much will he pay for both shirts?

57% Answer Correctly
$56.70
$4.20
$79.80
$63.00

Solution

By buying two shirts, Bob will save $42 x \( \frac{10}{100} \) = \( \frac{$42 x 10}{100} \) = \( \frac{$420}{100} \) = $4.20 on the second shirt.

So, his total cost will be
$42.00 + ($42.00 - $4.20)
$42.00 + $37.80
$79.80


4

A factor is a positive __________ that divides evenly into a given number.

78% Answer Correctly

improper fraction

integer

fraction

mixed number


Solution

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.


5

Jennifer scored 80% on her final exam. If each question was worth 3 points and there were 90 possible points on the exam, how many questions did Jennifer answer correctly?

57% Answer Correctly
29
35
24
30

Solution

Jennifer scored 80% on the test meaning she earned 80% of the possible points on the test. There were 90 possible points on the test so she earned 90 x 0.8 = 72 points. Each question is worth 3 points so she got \( \frac{72}{3} \) = 24 questions right.