ASVAB Arithmetic Reasoning Practice Test 70007 Results

Your Results Global Average
Questions 5 5
Correct 0 3.32
Score 0% 66%

Review

1

A bread recipe calls for 3\(\frac{1}{8}\) cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?

62% Answer Correctly
2\(\frac{1}{8}\) cups
1\(\frac{5}{8}\) cups
1\(\frac{7}{8}\) cups
\(\frac{1}{8}\) cups

Solution

The amount of flour you need is (3\(\frac{1}{8}\) - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{25}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{15}{8} \) cups
1\(\frac{7}{8}\) cups


2

Which of the following is not an integer?

77% Answer Correctly

0

1

-1

\({1 \over 2}\)


Solution

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.


3

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 7 to 2 and the ratio of baseball to basketball cards is 7 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly
1:6
49:2
9:6
7:1

Solution

The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.


4

What is -3x2 - 4x2?

71% Answer Correctly
-7x2
x2
7x-2
x-4

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:

-3x2 - 4x2
(-3 - 4)x2
-7x2


5

What is -5b4 + 7b4?

66% Answer Correctly
2b-8
2b8
2b4
-12b4

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:

-5b4 + 7b4
(-5 + 7)b4
2b4