ASVAB Arithmetic Reasoning Practice Test 538952 Results

Your Results Global Average
Questions 5 5
Correct 0 3.23
Score 0% 65%

Review

1

What is \( \frac{1}{7} \) x \( \frac{4}{7} \)?

72% Answer Correctly
\(\frac{2}{21}\)
\(\frac{4}{63}\)
\(\frac{8}{21}\)
\(\frac{4}{49}\)

Solution

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{1}{7} \) x \( \frac{4}{7} \) = \( \frac{1 x 4}{7 x 7} \) = \( \frac{4}{49} \) = \(\frac{4}{49}\)


2

What is \( \frac{2}{6} \) ÷ \( \frac{2}{7} \)?

68% Answer Correctly
1\(\frac{1}{6}\)
\(\frac{1}{10}\)
\(\frac{3}{56}\)
7

Solution

To divide fractions, invert the second fraction and then multiply:

\( \frac{2}{6} \) ÷ \( \frac{2}{7} \) = \( \frac{2}{6} \) x \( \frac{7}{2} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{2}{6} \) x \( \frac{7}{2} \) = \( \frac{2 x 7}{6 x 2} \) = \( \frac{14}{12} \) = 1\(\frac{1}{6}\)


3

What is 5z2 - 7z2?

71% Answer Correctly
-2z2
-2z-2
2z2
12z2

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:

5z2 - 7z2
(5 - 7)z2
-2z2


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

commutative

PEDMAS

distributive

associative


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

If a mayor is elected with 85% of the votes cast and 71% of a town's 31,000 voters cast a vote, how many votes did the mayor receive?

50% Answer Correctly
13,426
14,967
18,709
16,728

Solution

If 71% of the town's 31,000 voters cast ballots the number of votes cast is:

(\( \frac{71}{100} \)) x 31,000 = \( \frac{2,201,000}{100} \) = 22,010

The mayor got 85% of the votes cast which is:

(\( \frac{85}{100} \)) x 22,010 = \( \frac{1,870,850}{100} \) = 18,709 votes.