ASVAB Arithmetic Reasoning Practice Test 266546 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.09
Score	0%	62%

Review

Which of the following statements about exponents is false?

47% Answer Correctly

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

Monty loaned Ezra $1,400 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly

	$6
	$12
	$30
	$84

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 $1,400
i = 0.06 x $1,400
i = $84

Convert 0.0007695 to scientific notation.

62% Answer Correctly

	76.95 x 10^-5
	7.695 x 10^-4
	0.77 x 10^-3
	7.695 x 10⁵

Solution

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

0.0007695 in scientific notation is 7.695 x 10^-4

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

67% Answer Correctly

	a = 7 or a = -7
	a = -7
	none of these is correct
	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).

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

62% Answer Correctly

	1$\frac{3}{4}$ cups
	1$\frac{7}{8}$ cups
	2$\frac{1}{8}$ cups
	2 cups

Solution

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

($ \frac{28}{8} $ - $ \frac{14}{8} $) cups
$ \frac{14}{8} $ cups
1$\frac{3}{4}$ cups

	1\(\frac{3}{4}\) cups
	1\(\frac{7}{8}\) cups
	2\(\frac{1}{8}\) cups
	2 cups