ASVAB Math Knowledge Practice Test 816780 Results

Your Results Global Average
Questions 5 5
Correct 0 3.39
Score 0% 68%

Review

1

What is 8a - 9a?

79% Answer Correctly
17
72a2
72a
-1a

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

8a - 9a = -1a


2

If the area of this square is 4, what is the length of one of the diagonals?

68% Answer Correctly
8\( \sqrt{2} \)
2\( \sqrt{2} \)
7\( \sqrt{2} \)
4\( \sqrt{2} \)

Solution

To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:

a = s2

so the length of one side of the square is:

s = \( \sqrt{a} \) = \( \sqrt{4} \) = 2

The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:

c2 = a2 + b2
c2 = 22 + 22
c2 = 8
c = \( \sqrt{8} \) = \( \sqrt{4 x 2} \) = \( \sqrt{4} \) \( \sqrt{2} \)
c = 2\( \sqrt{2} \)


3

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

parallel

right angle

equal length

equal angle


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


4

What is 3a8 + 8a8?

75% Answer Correctly
11a16
a816
11a8
-5a16

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

3a8 + 8a8 = 11a8


5

On this circle, line segment CD is the:

46% Answer Correctly

radius

circumference

chord

diameter


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).