ASVAB Arithmetic Reasoning Practice Test 893809 Results

Your Results Global Average
Questions 5 5
Correct 0 2.95
Score 0% 59%

Review

1

Solve 2 + (3 + 5) ÷ 2 x 3 - 32

53% Answer Correctly
1\(\frac{1}{2}\)
\(\frac{5}{8}\)
5
\(\frac{4}{5}\)

Solution

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

2 + (3 + 5) ÷ 2 x 3 - 32
P: 2 + (8) ÷ 2 x 3 - 32
E: 2 + 8 ÷ 2 x 3 - 9
MD: 2 + \( \frac{8}{2} \) x 3 - 9
MD: 2 + \( \frac{24}{2} \) - 9
AS: \( \frac{4}{2} \) + \( \frac{24}{2} \) - 9
AS: \( \frac{28}{2} \) - 9
AS: \( \frac{28 - 18}{2} \)
\( \frac{10}{2} \)
5


2

53% Answer Correctly
3.6
1
0.6
1.0

Solution


1


3

Find the average of the following numbers: 9, 5, 10, 4.

75% Answer Correctly
11
5
3
7

Solution

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{9 + 5 + 10 + 4}{4} \) = \( \frac{28}{4} \) = 7


4

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

associative

PEDMAS

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.


5

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

56% Answer Correctly

distributive property for multiplication

commutative property for multiplication

commutative property for division

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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).