ASVAB Arithmetic Reasoning Practice Test 939998 Results

Your Results Global Average
Questions 5 5
Correct 0 3.27
Score 0% 65%

Review

1

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

PEDMAS

distributive

associative

commutative
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.

2

Christine scored 96% on her final exam. If each question was worth 2 points and there were 180 possible points on the exam, how many questions did Christine answer correctly?

57% Answer Correctly
84
87
86
85
Solution

Christine scored 96% on the test meaning she earned 96% of the possible points on the test. There were 180 possible points on the test so she earned 180 x 0.96 = 172 points. Each question is worth 2 points so she got \( \frac{172}{2} \) = 86 questions right.

3

What is -3a3 + 2a3?

66% Answer Correctly
-5a3
-a-6
-a3
-5a-3
Solution

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

-3a3 + 2a3
(-3 + 2)a3
-a3

4

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

78% Answer Correctly

fraction

improper 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.

5

In a class of 27 students, 14 are taking German and 6 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?

63% Answer Correctly
18
27
10
19
Solution

The number of students taking German or Spanish is 14 + 6 = 20. Of that group of 20, 3 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 20 - 3 = 17 who are taking at least one language. 27 - 17 = 10 students who are not taking either language.