ASVAB Arithmetic Reasoning Practice Test 342974 Results

Your Results Global Average
Questions 5 5
Correct 0 3.23
Score 0% 65%

Review

1

What is \( 8 \)\( \sqrt{27} \) + \( 8 \)\( \sqrt{3} \)

35% Answer Correctly
16\( \sqrt{81} \)
64\( \sqrt{3} \)
32\( \sqrt{3} \)
64\( \sqrt{9} \)

Solution

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

8\( \sqrt{27} \) + 8\( \sqrt{3} \)
8\( \sqrt{9 \times 3} \) + 8\( \sqrt{3} \)
8\( \sqrt{3^2 \times 3} \) + 8\( \sqrt{3} \)
(8)(3)\( \sqrt{3} \) + 8\( \sqrt{3} \)
24\( \sqrt{3} \) + 8\( \sqrt{3} \)

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

24\( \sqrt{3} \) + 8\( \sqrt{3} \)
(24 + 8)\( \sqrt{3} \)
32\( \sqrt{3} \)


2

What is -9b2 - 3b2?

71% Answer Correctly
-6b4
-12b-2
12b-2
-12b2

Solution

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

-9b2 - 3b2
(-9 - 3)b2
-12b2


3

Find the average of the following numbers: 18, 12, 16, 14.

75% Answer Correctly
15
3
10
13

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{18 + 12 + 16 + 14}{4} \) = \( \frac{60}{4} \) = 15


4

What is \( \frac{4}{8} \) x \( \frac{2}{7} \)?

72% Answer Correctly
\(\frac{1}{7}\)
\(\frac{2}{27}\)
\(\frac{1}{21}\)
\(\frac{2}{5}\)

Solution

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

\( \frac{4}{8} \) x \( \frac{2}{7} \) = \( \frac{4 x 2}{8 x 7} \) = \( \frac{8}{56} \) = \(\frac{1}{7}\)


5

Which of these numbers is a factor of 20?

69% Answer Correctly
15
9
10
4

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.