ASVAB Arithmetic Reasoning Practice Test 830076 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

Solve 4 + (2 + 2) ÷ 4 x 4 - 22

52% Answer Correctly
2\(\frac{1}{2}\)
2\(\frac{1}{3}\)
1\(\frac{1}{2}\)
4

Solution

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

4 + (2 + 2) ÷ 4 x 4 - 22
P: 4 + (4) ÷ 4 x 4 - 22
E: 4 + 4 ÷ 4 x 4 - 4
MD: 4 + \( \frac{4}{4} \) x 4 - 4
MD: 4 + \( \frac{16}{4} \) - 4
AS: \( \frac{16}{4} \) + \( \frac{16}{4} \) - 4
AS: \( \frac{32}{4} \) - 4
AS: \( \frac{32 - 16}{4} \)
\( \frac{16}{4} \)
4


2

\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?

55% Answer Correctly

commutative property for division

commutative property for multiplication

distributive property for multiplication

distributive property for division


Solution

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).


3

A factor is a positive __________ that divides evenly into a given number.

78% Answer Correctly

improper fraction

fraction

integer

mixed number


Solution

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.


4

Which of the following is an improper fraction?

70% Answer Correctly

\({2 \over 5} \)

\({7 \over 5} \)

\({a \over 5} \)

\(1 {2 \over 5} \)


Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.


5

Convert 0.000592 to scientific notation.

62% Answer Correctly
5.92 x 104
5.92 x 10-5
5.92 x 10-4
5.92 x 105

Solution

A number in scientific notation has the format 0.000 x 10exponent. 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:

0.000592 in scientific notation is 5.92 x 10-4