ASVAB Arithmetic Reasoning Practice Test 316260 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.30
Score	0%	66%

Review

Convert x^-2 to remove the negative exponent.

67% Answer Correctly

	$ \frac{-2}{-x} $
	$ \frac{1}{x^{-2}} $
	$ \frac{-1}{-2x^{2}} $
	$ \frac{1}{x^2} $

Solution

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 9 to 2 and the ratio of baseball to basketball cards is 9 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly

	7:6
	81:2
	5:1
	5:2

Solution

The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Ezra buys two shirts, each with a regular price of $26, how much money will he save?

70% Answer Correctly

	$13.00
	$11.70
	$3.90
	$5.20

Solution

By buying two shirts, Ezra will save $26 x $ \frac{45}{100} $ = $ \frac{$26 x 45}{100} $ = $ \frac{$1170}{100} $ = $11.70 on the second shirt.

A factor is a positive __________ that divides evenly into a given number.

78% Answer Correctly

	integer
	fraction
	mixed number
	improper fraction

Solution

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

What is $ \frac{4c^9}{6c^2} $?

60% Answer Correctly

	1$\frac{1}{2}$c¹¹
	1$\frac{1}{2}$c^-7
	$\frac{2}{3}$c⁷
	$\frac{2}{3}$c^-7

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{4c^9}{6c^2} $
$ \frac{4}{6} $ c^{(9 - 2)}
$\frac{2}{3}$c⁷

	\( \frac{-2}{-x} \)
	\( \frac{1}{x^{-2}} \)
	\( \frac{-1}{-2x^{2}} \)
	\( \frac{1}{x^2} \)

	1\(\frac{1}{2}\)c¹¹
	1\(\frac{1}{2}\)c^-7
	\(\frac{2}{3}\)c⁷
	\(\frac{2}{3}\)c^-7