ASVAB Arithmetic Reasoning Practice Test 350807 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

What is \( 9 \)\( \sqrt{28} \) + \( 2 \)\( \sqrt{7} \)

35% Answer Correctly
18\( \sqrt{7} \)
20\( \sqrt{7} \)
11\( \sqrt{4} \)
18\( \sqrt{4} \)

Solution

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

9\( \sqrt{28} \) + 2\( \sqrt{7} \)
9\( \sqrt{4 \times 7} \) + 2\( \sqrt{7} \)
9\( \sqrt{2^2 \times 7} \) + 2\( \sqrt{7} \)
(9)(2)\( \sqrt{7} \) + 2\( \sqrt{7} \)
18\( \sqrt{7} \) + 2\( \sqrt{7} \)

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

18\( \sqrt{7} \) + 2\( \sqrt{7} \)
(18 + 2)\( \sqrt{7} \)
20\( \sqrt{7} \)


2

If \( \left|y - 2\right| \) + 0 = 1, which of these is a possible value for y?

62% Answer Correctly
-15
-11
0
1

Solution

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

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

The value inside the absolute value brackets can be either positive or negative so (y - 2) must equal + 1 or -1 for \( \left|y - 2\right| \) to equal 1:

y - 2 = 1
y = 1 + 2
y = 3
y - 2 = -1
y = -1 + 2
y = 1

So, y = 1 or y = 3.


3

How many 7-passenger vans will it take to drive all 44 members of the football team to an away game?

81% Answer Correctly
13 vans
14 vans
7 vans
6 vans

Solution

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{44}{7} \) = 6\(\frac{2}{7}\)

So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.


4

What is \( \frac{3}{8} \) x \( \frac{2}{7} \)?

72% Answer Correctly
\(\frac{2}{35}\)
\(\frac{6}{7}\)
\(\frac{3}{28}\)
\(\frac{2}{15}\)

Solution

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{3}{8} \) x \( \frac{2}{7} \) = \( \frac{3 x 2}{8 x 7} \) = \( \frac{6}{56} \) = \(\frac{3}{28}\)


5

What is \( \frac{1}{6} \) ÷ \( \frac{4}{9} \)?

68% Answer Correctly
\(\frac{1}{42}\)
\(\frac{2}{35}\)
\(\frac{3}{8}\)
1\(\frac{1}{2}\)

Solution

To divide fractions, invert the second fraction and then multiply:

\( \frac{1}{6} \) ÷ \( \frac{4}{9} \) = \( \frac{1}{6} \) x \( \frac{9}{4} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{1}{6} \) x \( \frac{9}{4} \) = \( \frac{1 x 9}{6 x 4} \) = \( \frac{9}{24} \) = \(\frac{3}{8}\)