ASVAB Arithmetic Reasoning Practice Test 747142 Results

Your Results Global Average
Questions 5 5
Correct 0 2.83
Score 0% 57%

Review

1

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Frank buys two shirts, each with a regular price of $35, how much money will he save?

70% Answer Correctly
$15.75
$10.50
$3.50
$17.50

Solution

By buying two shirts, Frank will save $35 x \( \frac{10}{100} \) = \( \frac{$35 x 10}{100} \) = \( \frac{$350}{100} \) = $3.50 on the second shirt.


2

What is \( \frac{5b^5}{9b^2} \)?

60% Answer Correctly
\(\frac{5}{9}\)b-3
1\(\frac{4}{5}\)b3
1\(\frac{4}{5}\)b7
\(\frac{5}{9}\)b3

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:

\( \frac{5b^5}{9b^2} \)
\( \frac{5}{9} \) b(5 - 2)
\(\frac{5}{9}\)b3


3

a(b + c) = ab + ac defines which of the following?

74% Answer Correctly

distributive property for division

commutative property for division

distributive property for multiplication

commutative property for multiplication


Solution

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.


4

What is \( 2 \)\( \sqrt{12} \) + \( 7 \)\( \sqrt{3} \)

35% Answer Correctly
14\( \sqrt{12} \)
9\( \sqrt{3} \)
9\( \sqrt{12} \)
11\( \sqrt{3} \)

Solution

To add these radicals together their radicands must be the same:

2\( \sqrt{12} \) + 7\( \sqrt{3} \)
2\( \sqrt{4 \times 3} \) + 7\( \sqrt{3} \)
2\( \sqrt{2^2 \times 3} \) + 7\( \sqrt{3} \)
(2)(2)\( \sqrt{3} \) + 7\( \sqrt{3} \)
4\( \sqrt{3} \) + 7\( \sqrt{3} \)

Now that the radicands are identical, you can add them together:

4\( \sqrt{3} \) + 7\( \sqrt{3} \)
(4 + 7)\( \sqrt{3} \)
11\( \sqrt{3} \)


5

Which of the following statements about exponents is false?

47% Answer Correctly

b0 = 1

b1 = b

b1 = 1

all of these are false


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).