ASVAB Arithmetic Reasoning Practice Test 939712 Results

Your Results Global Average
Questions 5 5
Correct 0 3.51
Score 0% 70%

Review

1

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

PEDMAS

distributive

associative

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.


2

What is 8x2 x x2?

75% Answer Correctly
9x2
9x4
8x4
8x0

Solution

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

8x2 x x2
(8 x 1)x(2 + 2)
8x4


3

A triathlon course includes a 300m swim, a 50.8km bike ride, and a 7.8km run. What is the total length of the race course?

69% Answer Correctly
50.5km
58.9km
63.4km
40.8km

Solution

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.3km + 50.8km + 7.8km
total distance = 58.9km


4

What is (c5)2?

80% Answer Correctly
2c5
c-3
c3
c10

Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(c5)2
c(5 * 2)
c10


5

What is \( \frac{4}{7} \) ÷ \( \frac{4}{5} \)?

68% Answer Correctly
\(\frac{5}{7}\)
\(\frac{3}{49}\)
\(\frac{1}{24}\)
2\(\frac{6}{7}\)

Solution

To divide fractions, invert the second fraction and then multiply:

\( \frac{4}{7} \) ÷ \( \frac{4}{5} \) = \( \frac{4}{7} \) x \( \frac{5}{4} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{7} \) x \( \frac{5}{4} \) = \( \frac{4 x 5}{7 x 4} \) = \( \frac{20}{28} \) = \(\frac{5}{7}\)