ASVAB Arithmetic Reasoning Practice Test 567507 Results

Your Results Global Average
Questions 5 5
Correct 0 3.14
Score 0% 63%

Review

1

Which of the following statements about exponents is false?

47% Answer Correctly

b1 = b

all of these are false

b0 = 1

b1 = 1


Solution

A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).


2

What is \( \frac{14\sqrt{20}}{2\sqrt{5}} \)?

71% Answer Correctly
7 \( \sqrt{4} \)
7 \( \sqrt{\frac{1}{4}} \)
\(\frac{1}{7}\) \( \sqrt{4} \)
\(\frac{1}{7}\) \( \sqrt{\frac{1}{4}} \)

Solution

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{14\sqrt{20}}{2\sqrt{5}} \)
\( \frac{14}{2} \) \( \sqrt{\frac{20}{5}} \)
7 \( \sqrt{4} \)


3

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

67% Answer Correctly

none of these is correct

a = 7

a = 7 or 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).


4

What is -5b2 - 6b2?

71% Answer Correctly
11b2
-11b2
b-4
b2

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:

-5b2 - 6b2
(-5 - 6)b2
-11b2


5

If there were a total of 400 raffle tickets sold and you bought 8 tickets, what's the probability that you'll win the raffle?

60% Answer Correctly
9%
4%
2%
8%

Solution

You have 8 out of the total of 400 raffle tickets sold so you have a (\( \frac{8}{400} \)) x 100 = \( \frac{8 \times 100}{400} \) = \( \frac{800}{400} \) = 2% chance to win the raffle.