ASVAB Arithmetic Reasoning Practice Test 73399 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.20
Score	0%	64%

Review

Which of these numbers is a factor of 28?

68% Answer Correctly

	7
	29
	30
	17

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 28 are 1, 2, 4, 7, 14, 28.

Which of the following statements about exponents is false?

47% Answer Correctly

	b¹ = b
	b¹ = 1
	b⁰ = 1
	all of these are false

Solution

A number with an exponent (b^e) 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).

What is (a⁴)²?

80% Answer Correctly

	a⁶
	4a²
	a⁸
	2a⁴

Solution

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

(a⁴)²
a^{(4 * 2)}
a⁸

A bread recipe calls for 2\(\frac{1}{8}\) cups of flour. If you only have 1\(\frac{3}{4}\) cups, how much more flour is needed?

62% Answer Correctly

	2\(\frac{5}{8}\) cups
	1\(\frac{1}{8}\) cups
	\(\frac{3}{8}\) cups
	1\(\frac{1}{4}\) cups

Solution

The amount of flour you need is (2\(\frac{1}{8}\) - 1\(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{17}{8} \) - \( \frac{14}{8} \)) cups
\( \frac{3}{8} \) cups
\(\frac{3}{8}\) cups

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

	greatest common multiple
	absolute value
	greatest common factor
	least common multiple

Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.