ASVAB Arithmetic Reasoning Practice Test 878692 Results

Your Results Global Average
Questions 5 5
Correct 0 2.88
Score 0% 58%

Review

1

52% Answer Correctly
3.2
6.0
0.8
1

Solution


1


2

What is \( 4 \)\( \sqrt{63} \) - \( 2 \)\( \sqrt{7} \)

38% Answer Correctly
10\( \sqrt{7} \)
2\( \sqrt{7} \)
8\( \sqrt{9} \)
8\( \sqrt{7} \)

Solution

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

4\( \sqrt{63} \) - 2\( \sqrt{7} \)
4\( \sqrt{9 \times 7} \) - 2\( \sqrt{7} \)
4\( \sqrt{3^2 \times 7} \) - 2\( \sqrt{7} \)
(4)(3)\( \sqrt{7} \) - 2\( \sqrt{7} \)
12\( \sqrt{7} \) - 2\( \sqrt{7} \)

Now that the radicands are identical, you can subtract them:

12\( \sqrt{7} \) - 2\( \sqrt{7} \)
(12 - 2)\( \sqrt{7} \)
10\( \sqrt{7} \)


3

Convert 0.0000484 to scientific notation.

62% Answer Correctly
4.84 x 105
4.84 x 10-6
4.84 x 10-5
48.4 x 10-6

Solution

A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

0.0000484 in scientific notation is 4.84 x 10-5


4

What is -3b4 + b4?

66% Answer Correctly
4b4
-4b-4
-2b4
-2b-8

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:

-3b4 + 1b4
(-3 + 1)b4
-2b4


5

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

greatest common multiple

absolute value

greatest common factor

least common multiple


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.