ASVAB Arithmetic Reasoning Practice Test 358486 Results

Your Results Global Average
Questions 5 5
Correct 0 3.34
Score 0% 67%

Review

1

What is -7x3 - x3?

71% Answer Correctly
8x3
-6x6
-8x-3
-8x3

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:

-7x3 - 1x3
(-7 - 1)x3
-8x3


2

What is \( 3 \)\( \sqrt{28} \) - \( 9 \)\( \sqrt{7} \)

38% Answer Correctly
-6\( \sqrt{196} \)
27\( \sqrt{4} \)
27\( \sqrt{196} \)
-3\( \sqrt{7} \)

Solution

To subtract these radicals together their radicands must be the same:

3\( \sqrt{28} \) - 9\( \sqrt{7} \)
3\( \sqrt{4 \times 7} \) - 9\( \sqrt{7} \)
3\( \sqrt{2^2 \times 7} \) - 9\( \sqrt{7} \)
(3)(2)\( \sqrt{7} \) - 9\( \sqrt{7} \)
6\( \sqrt{7} \) - 9\( \sqrt{7} \)

Now that the radicands are identical, you can subtract them:

6\( \sqrt{7} \) - 9\( \sqrt{7} \)
(6 - 9)\( \sqrt{7} \)
-3\( \sqrt{7} \)


3

What is (z4)4?

80% Answer Correctly
z0
z16
4z4
z8

Solution

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

(z4)4
z(4 * 4)
z16


4

What is \( \frac{1x^6}{6x^3} \)?

60% Answer Correctly
\(\frac{1}{6}\)x\(\frac{1}{2}\)
\(\frac{1}{6}\)x18
\(\frac{1}{6}\)x3
\(\frac{1}{6}\)x9

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:

\( \frac{x^6}{6x^3} \)
\( \frac{1}{6} \) x(6 - 3)
\(\frac{1}{6}\)x3


5

How many hours does it take a car to travel 390 miles at an average speed of 65 miles per hour?

86% Answer Correctly
2 hours
6 hours
5 hours
1 hour

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 = \( \frac{390mi}{65mph} \)
6 hours