ASVAB Arithmetic Reasoning Practice Test 347670 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.11
Score	0%	62%

Review

Convert y^-4 to remove the negative exponent.

68% Answer Correctly

	$ \frac{4}{y} $
	$ \frac{1}{y^4} $
	$ \frac{-1}{-4y} $
	$ \frac{-1}{y^{-4}} $

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 7 to 2 and the ratio of baseball to basketball cards is 7 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly

	5:8
	1:6
	3:1
	49:2

Solution

The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. 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 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.

53% Answer Correctly

	3.2
	5.6
	1.2
	1

Solution

If $ \left|x + 1\right| $ - 2 = 3, which of these is a possible value for x?

62% Answer Correctly

	14
	-2
	-11
	4

Solution

First, solve for $ \left|x + 1\right| $:

The value inside the absolute value brackets can be either positive or negative so (x + 1) must equal + 5 or -5 for $ \left|x + 1\right| $ to equal 5:

x + 1 = 5
x = 5 - 1
x = 4

x + 1 = -5
x = -5 - 1
x = -6

So, x = -6 or x = 4.

Ezra loaned Monty $1,400 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly

	$54
	$10
	$70
	$14

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 $1,400
i = 0.05 x $1,400
i = $70

	\( \frac{4}{y} \)
	\( \frac{1}{y^4} \)
	\( \frac{-1}{-4y} \)
	\( \frac{-1}{y^{-4}} \)