ASVAB Arithmetic Reasoning Practice Test 645993 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

Review

1

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

74% Answer Correctly

distributive property for multiplication

commutative property for multiplication

commutative property for division

distributive property for division
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.

2

53% Answer Correctly
6.3
1
0.8
2.0
Solution


1

3

If a car travels 210 miles in 6 hours, what is the average speed?

86% Answer Correctly
55 mph
30 mph
50 mph
35 mph
Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)
speed = \( \frac{210mi}{6h} \)
35 mph

4

What is \( 6 \)\( \sqrt{75} \) + \( 8 \)\( \sqrt{3} \)

35% Answer Correctly
38\( \sqrt{3} \)
48\( \sqrt{75} \)
14\( \sqrt{3} \)
14\( \sqrt{225} \)
Solution

To add these radicals together their radicands must be the same:

6\( \sqrt{75} \) + 8\( \sqrt{3} \)
6\( \sqrt{25 \times 3} \) + 8\( \sqrt{3} \)
6\( \sqrt{5^2 \times 3} \) + 8\( \sqrt{3} \)
(6)(5)\( \sqrt{3} \) + 8\( \sqrt{3} \)
30\( \sqrt{3} \) + 8\( \sqrt{3} \)

Now that the radicands are identical, you can add them together:

30\( \sqrt{3} \) + 8\( \sqrt{3} \)
(30 + 8)\( \sqrt{3} \)
38\( \sqrt{3} \)

5

Convert z-2 to remove the negative exponent.

68% Answer Correctly
\( \frac{-1}{z^{-2}} \)
\( \frac{1}{z^2} \)
\( \frac{-1}{-2z^{2}} \)
\( \frac{1}{z^{-2}} \)
Solution

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.