ASVAB Arithmetic Reasoning Practice Test 745238 Results

Your Results Global Average
Questions 5 5
Correct 0 3.50
Score 0% 70%

Review

1

Bob loaned Latoya $900 at an annual interest rate of 7%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$954
$945
$963
$927

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 = 0.07 x $900

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $900 + $63
total = $963


2

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

67% Answer Correctly

a = 7 or a = -7

none of these is correct

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).


3

What is 7a4 - 6a4?

71% Answer Correctly
a4
-a4
-a-4
13a-8

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

7a4 - 6a4
(7 - 6)a4
a4


4

This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.

60% Answer Correctly

associative

distributive

PEDMAS

commutative


Solution

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.


5

How many 9-passenger vans will it take to drive all 99 members of the football team to an away game?

81% Answer Correctly
11 vans
5 vans
7 vans
8 vans

Solution

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{99}{9} \) = 11