ASVAB Arithmetic Reasoning Practice Test 680544 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.48
Score	0%	70%

Review

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

67% Answer Correctly

	none of these is correct
	a = -7
	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).

What is the distance in miles of a trip that takes 5 hours at an average speed of 75 miles per hour?

86% Answer Correctly

	150 miles
	100 miles
	75 miles
	375 miles

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}} $

Solving for distance:

distance = $ \text{speed} \times \text{time} $
distance = $ 75mph \times 5h $
375 miles

What is $ \frac{4a^7}{7a^4} $?

60% Answer Correctly

	$\frac{4}{7}$a^{1$\frac{3}{4}$}
	$\frac{4}{7}$a¹¹
	$\frac{4}{7}$a^{$\frac{4}{7}$}
	$\frac{4}{7}$a³

Solution

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

$ \frac{4a^7}{7a^4} $
$ \frac{4}{7} $ a^{(7 - 4)}
$\frac{4}{7}$a³

Bob loaned Frank $900 at an annual interest rate of 1%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly

	$84
	$30
	$9
	$48

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = ($ \frac{6}{100} $) x $900
i = 0.01 x $900
i = $9

A bread recipe calls for 3$\frac{5}{8}$ cups of flour. If you only have 1$\frac{1}{2}$ cups, how much more flour is needed?

62% Answer Correctly

	2$\frac{1}{8}$ cups
	$\frac{1}{4}$ cups
	1$\frac{3}{4}$ cups
	1$\frac{7}{8}$ cups

Solution

The amount of flour you need is (3$\frac{5}{8}$ - 1$\frac{1}{2}$) cups. Rewrite the quantities so they share a common denominator and subtract:

($ \frac{29}{8} $ - $ \frac{12}{8} $) cups
$ \frac{17}{8} $ cups
2$\frac{1}{8}$ cups

	\(\frac{4}{7}\)a^{1\(\frac{3}{4}\)}
	\(\frac{4}{7}\)a¹¹
	\(\frac{4}{7}\)a^{\(\frac{4}{7}\)}
	\(\frac{4}{7}\)a³

	2\(\frac{1}{8}\) cups
	\(\frac{1}{4}\) cups
	1\(\frac{3}{4}\) cups
	1\(\frac{7}{8}\) cups