ASVAB Arithmetic Reasoning Practice Test 618291 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.04
Score	0%	61%

Review

This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.

60% Answer Correctly

	PEDMAS
	associative
	commutative
	distributive

Solution

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

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 (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 $ \frac{6}{2} $ + $ \frac{5}{6} $?

60% Answer Correctly

	3$\frac{5}{6}$
	2 $ \frac{3}{11} $
	$ \frac{9}{6} $
	1 $ \frac{7}{16} $

Solution

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

$ \frac{6 x 3}{2 x 3} $ + $ \frac{5 x 1}{6 x 1} $

$ \frac{18}{6} $ + $ \frac{5}{6} $

Now, because the fractions share a common denominator, you can add them:

$ \frac{18 + 5}{6} $ = $ \frac{23}{6} $ = 3$\frac{5}{6}$

Alex loaned Damon $600 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly

	$56
	$3
	$42
	$40

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = ($ \frac{6}{100} $) x $600
i = 0.07 x $600
i = $42

Convert y^-3 to remove the negative exponent.

68% Answer Correctly

	$ \frac{-3}{y} $
	$ \frac{-1}{y^{-3}} $
	$ \frac{1}{y^3} $
	$ \frac{-1}{-3y^{3}} $

Solution

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.

	3\(\frac{5}{6}\)
	2 \( \frac{3}{11} \)
	\( \frac{9}{6} \)
	1 \( \frac{7}{16} \)

	\( \frac{-3}{y} \)
	\( \frac{-1}{y^{-3}} \)
	\( \frac{1}{y^3} \)
	\( \frac{-1}{-3y^{3}} \)