ASVAB Arithmetic Reasoning Practice Test 615663 Results

Your Results Global Average
Questions 5 5
Correct 0 3.35
Score 0% 67%

Review

1

What is (x3)3?

80% Answer Correctly
3x3
x0
x9
x6

Solution

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

(x3)3
x(3 * 3)
x9


2

What is \( \frac{3z^6}{8z^3} \)?

60% Answer Correctly
\(\frac{3}{8}\)z18
\(\frac{3}{8}\)z9
\(\frac{3}{8}\)z3
\(\frac{3}{8}\)z-3

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:

\( \frac{3z^6}{8z^3} \)
\( \frac{3}{8} \) z(6 - 3)
\(\frac{3}{8}\)z3


3

Which of the following statements about exponents is false?

47% Answer Correctly

all of these are false

b0 = 1

b1 = 1

b1 = b


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).


4

Find the average of the following numbers: 17, 9, 14, 12.

74% Answer Correctly
9
11
13
18

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{17 + 9 + 14 + 12}{4} \) = \( \frac{52}{4} \) = 13


5

What is the greatest common factor of 80 and 16?

77% Answer Correctly
3
14
10
16

Solution

The factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80] and the factors of 16 are [1, 2, 4, 8, 16]. They share 5 factors [1, 2, 4, 8, 16] making 16 the greatest factor 80 and 16 have in common.