ASVAB Arithmetic Reasoning Practice Test 316839 Results

Your Results Global Average
Questions 5 5
Correct 0 3.53
Score 0% 71%

Review

1

If \(\left|a\right| = 7\), which of the following best describes a?

67% Answer Correctly

a = -7

none of these is correct

a = 7 or a = -7

a = 7


Solution

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).


2

What is 8x3 + 3x3?

66% Answer Correctly
11x9
11x3
5x3
-5x3

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:

8x3 + 3x3
(8 + 3)x3
11x3


3

Which of the following is not a prime number?

65% Answer Correctly

7

9

2

5


Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.


4

What is \( \frac{4}{5} \) x \( \frac{4}{9} \)?

72% Answer Correctly
\(\frac{16}{45}\)
\(\frac{3}{56}\)
3\(\frac{1}{5}\)
\(\frac{2}{15}\)

Solution

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

\( \frac{4}{5} \) x \( \frac{4}{9} \) = \( \frac{4 x 4}{5 x 9} \) = \( \frac{16}{45} \) = \(\frac{16}{45}\)


5

Which of the following is a mixed number?

83% Answer Correctly

\({a \over 5} \)

\(1 {2 \over 5} \)

\({7 \over 5} \)

\({5 \over 7} \)


Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.