ASVAB Math Knowledge Practice Test 837103 Results

Your Results Global Average
Questions 5 5
Correct 0 2.96
Score 0% 59%

Review

1

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

chord

circumference

radius

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).


2

What is 2a8 - 8a8?

73% Answer Correctly
10
10a16
-6
-6a8

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.

2a8 - 8a8 = -6a8


3

On this circle, line segment AB is the:

70% Answer Correctly

diameter

circumference

radius

chord


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).


4

Solve for c:
6c - 5 > \( \frac{c}{6} \)

44% Answer Correctly
c > -1\(\frac{14}{31}\)
c > \(\frac{49}{62}\)
c > \(\frac{6}{7}\)
c > 1\(\frac{11}{37}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

6c - 5 > \( \frac{c}{6} \)
6 x (6c - 5) > c
(6 x 6c) + (6 x -5) > c
36c - 30 > c
36c - 30 - c > 0
36c - c > 30
35c > 30
c > \( \frac{30}{35} \)
c > \(\frac{6}{7}\)


5

If side a = 9, side b = 8, what is the length of the hypotenuse of this right triangle?

63% Answer Correctly
\( \sqrt{113} \)
\( \sqrt{53} \)
\( \sqrt{145} \)
\( \sqrt{26} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 92 + 82
c2 = 81 + 64
c2 = 145
c = \( \sqrt{145} \)