ASVAB Arithmetic Reasoning Practice Test 483087 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.05
Score	0%	61%

Review

53% Answer Correctly

	1
	3.0
	0.4
	2.0

Solution

How many hours does it take a car to travel 150 miles at an average speed of 50 miles per hour?

86% Answer Correctly

	6 hours
	3 hours
	1 hour
	8 hours

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{150mi}{50mph} \)
3 hours

How many 1 gallon cans worth of fuel would you need to pour into an empty 8 gallon tank to fill it exactly halfway?

52% Answer Correctly

	8
	5
	4
	4

Solution

To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 1 gallons so:

cans = \( \frac{4 \text{ gallons}}{1 \text{ gallons}} \) = 4

\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?

55% Answer Correctly

	commutative property for multiplication
	distributive property for multiplication
	distributive property for division
	commutative property for division

Solution

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

What is \( \frac{6c^9}{5c^4} \)?

60% Answer Correctly

	1\(\frac{1}{5}\)c^{\(\frac{4}{9}\)}
	1\(\frac{1}{5}\)c^-5
	1\(\frac{1}{5}\)c⁵
	1\(\frac{1}{5}\)c³⁶

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:

\( \frac{6c^9}{5c^4} \)
\( \frac{6}{5} \) c^{(9 - 4)}
1\(\frac{1}{5}\)c⁵