ASVAB Arithmetic Reasoning Practice Test 494163 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.43
Score	0%	69%

Review

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.

Alex loaned Ezra $1,300 at an annual interest rate of 9%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly

	$5
	$77
	$117
	$7

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 $1,300
i = 0.09 x $1,300
i = $117

Which of the following is an improper fraction?

70% Answer Correctly

	${a \over 5} $
	$1 {2 \over 5} $
	${7 \over 5} $
	${2 \over 5} $

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.

What is $ \frac{8x^9}{4x^2} $?

60% Answer Correctly

	2x⁷
	2x^{4$\frac{1}{2}$}
	2x^-7
	$\frac{1}{2}$x¹¹

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{8x^9}{4x^2} $
$ \frac{8}{4} $ x^{(9 - 2)}
2x⁷

If $ \left|z - 5\right| $ + 0 = -4, which of these is a possible value for z?

62% Answer Correctly

	4
	-2
	15
	1

Solution

First, solve for $ \left|z - 5\right| $:

The value inside the absolute value brackets can be either positive or negative so (z - 5) must equal - 4 or --4 for $ \left|z - 5\right| $ to equal -4:

z - 5 = -4
z = -4 + 5
z = 1

z - 5 = 4
z = 4 + 5
z = 9

So, z = 9 or z = 1.

	\({a \over 5} \)
	\(1 {2 \over 5} \)
	\({7 \over 5} \)
	\({2 \over 5} \)

	1
	-1
	0
	\({1 \over 2}\)

	2x⁷
	2x^{4\(\frac{1}{2}\)}
	2x^-7
	\(\frac{1}{2}\)x¹¹