ASVAB Arithmetic Reasoning Practice Test 461829 Results

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

Review

1

What is 3x6 - 4x6?

71% Answer Correctly
-x6
x6
7x36
x-6

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:

3x6 - 4x6
(3 - 4)x6
-x6


2

Which of the following is not an integer?

77% Answer Correctly

-1

1

0

\({1 \over 2}\)


Solution

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.


3

What is \( 8 \)\( \sqrt{20} \) + \( 4 \)\( \sqrt{5} \)

35% Answer Correctly
20\( \sqrt{5} \)
32\( \sqrt{5} \)
32\( \sqrt{100} \)
32\( \sqrt{20} \)

Solution

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

8\( \sqrt{20} \) + 4\( \sqrt{5} \)
8\( \sqrt{4 \times 5} \) + 4\( \sqrt{5} \)
8\( \sqrt{2^2 \times 5} \) + 4\( \sqrt{5} \)
(8)(2)\( \sqrt{5} \) + 4\( \sqrt{5} \)
16\( \sqrt{5} \) + 4\( \sqrt{5} \)

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

16\( \sqrt{5} \) + 4\( \sqrt{5} \)
(16 + 4)\( \sqrt{5} \)
20\( \sqrt{5} \)


4

What is \( \sqrt{\frac{4}{36}} \)?

70% Answer Correctly
1
1\(\frac{4}{5}\)
2\(\frac{1}{4}\)
\(\frac{1}{3}\)

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{4}{36}} \)
\( \frac{\sqrt{4}}{\sqrt{36}} \)
\( \frac{\sqrt{2^2}}{\sqrt{6^2}} \)
\(\frac{1}{3}\)


5

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

absolute value

greatest common factor

least common multiple

greatest common multiple


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.