ASVAB Arithmetic Reasoning Practice Test 948847 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.92
Score	0%	58%

Review

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Damon buys two shirts, each with a regular price of $11, how much money will he save?

70% Answer Correctly

	$1.10
	$2.75
	$4.40
	$5.50

Solution

By buying two shirts, Damon will save $11 x $ \frac{50}{100} $ = $ \frac{$11 x 50}{100} $ = $ \frac{$550}{100} $ = $5.50 on the second shirt.

What is $ 7 $$ \sqrt{28} $ + $ 6 $$ \sqrt{7} $

35% Answer Correctly

	42$ \sqrt{196} $
	13$ \sqrt{28} $
	20$ \sqrt{7} $
	13$ \sqrt{196} $

Solution

To add these radicals together their radicands must be the same:

7$ \sqrt{28} $ + 6$ \sqrt{7} $
7$ \sqrt{4 \times 7} $ + 6$ \sqrt{7} $
7$ \sqrt{2^2 \times 7} $ + 6$ \sqrt{7} $
(7)(2)$ \sqrt{7} $ + 6$ \sqrt{7} $
14$ \sqrt{7} $ + 6$ \sqrt{7} $

Now that the radicands are identical, you can add them together:

14$ \sqrt{7} $ + 6$ \sqrt{7} $
(14 + 6)$ \sqrt{7} $
20$ \sqrt{7} $

If $ \left|x - 2\right| $ + 9 = -1, which of these is a possible value for x?

62% Answer Correctly

	17
	0
	7
	12

Solution

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

The value inside the absolute value brackets can be either positive or negative so (x - 2) must equal - 10 or --10 for $ \left|x - 2\right| $ to equal -10:

x - 2 = -10
x = -10 + 2
x = -8

x - 2 = 10
x = 10 + 2
x = 12

So, x = 12 or x = -8.

What is $ 2 $$ \sqrt{27} $ - $ 5 $$ \sqrt{3} $

39% Answer Correctly

	$ \sqrt{3} $
	10$ \sqrt{3} $
	-3$ \sqrt{81} $
	-3$ \sqrt{9} $

Solution

To subtract these radicals together their radicands must be the same:

2$ \sqrt{27} $ - 5$ \sqrt{3} $
2$ \sqrt{9 \times 3} $ - 5$ \sqrt{3} $
2$ \sqrt{3^2 \times 3} $ - 5$ \sqrt{3} $
(2)(3)$ \sqrt{3} $ - 5$ \sqrt{3} $
6$ \sqrt{3} $ - 5$ \sqrt{3} $

Now that the radicands are identical, you can subtract them:

6$ \sqrt{3} $ - 5$ \sqrt{3} $
(6 - 5)$ \sqrt{3} $
$ \sqrt{3} $

If a car travels 45 miles in 3 hours, what is the average speed?

86% Answer Correctly

	25 mph
	35 mph
	15 mph
	65 mph

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}} $
speed = $ \frac{45mi}{3h} $
15 mph

	42\( \sqrt{196} \)
	13\( \sqrt{28} \)
	20\( \sqrt{7} \)
	13\( \sqrt{196} \)

	\( \sqrt{3} \)
	10\( \sqrt{3} \)
	-3\( \sqrt{81} \)
	-3\( \sqrt{9} \)