ASVAB Arithmetic Reasoning Practice Test 185682 Results

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

Review

1

What is 4z2 - 9z2?

71% Answer Correctly
5z-2
13z2
5z2
-5z2

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

4z2 - 9z2
(4 - 9)z2
-5z2


2

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

74% Answer Correctly

distributive property for multiplication

commutative property for division

distributive property for division

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.


3

Which of the following is an improper fraction?

70% Answer Correctly

\({a \over 5} \)

\(1 {2 \over 5} \)

\({2 \over 5} \)

\({7 \over 5} \)


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.


4

The __________ is the smallest positive integer that is a multiple of two or more integers.

56% Answer Correctly

least common factor

greatest common factor

least common multiple

absolute value


Solution

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.


5

Solve 2 + (4 + 2) ÷ 5 x 4 - 52

52% Answer Correctly
2
\(\frac{3}{7}\)
-18\(\frac{1}{5}\)
\(\frac{1}{3}\)

Solution

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

2 + (4 + 2) ÷ 5 x 4 - 52
P: 2 + (6) ÷ 5 x 4 - 52
E: 2 + 6 ÷ 5 x 4 - 25
MD: 2 + \( \frac{6}{5} \) x 4 - 25
MD: 2 + \( \frac{24}{5} \) - 25
AS: \( \frac{10}{5} \) + \( \frac{24}{5} \) - 25
AS: \( \frac{34}{5} \) - 25
AS: \( \frac{34 - 125}{5} \)
\( \frac{-91}{5} \)
-18\(\frac{1}{5}\)