ASVAB Math Knowledge Practice Test 556398 Results

Your Results Global Average
Questions 5 5
Correct 0 2.99
Score 0% 60%

Review

1

If angle a = 22° and angle b = 26° what is the length of angle d?

56% Answer Correctly
158°
159°
120°
146°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 22° - 26° = 132°

So, d° = 26° + 132° = 158°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 22° = 158°


2

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

46% Answer Correctly

radius

chord

circumference

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).


3

If BD = 15 and AD = 16, AB = ?

75% Answer Correctly
16
1
4
11

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 16 - 15
AB = 1


4

Solve for x:
6x + 2 = \( \frac{x}{6} \)

46% Answer Correctly
7
\(\frac{1}{2}\)
-1\(\frac{1}{2}\)
-\(\frac{12}{35}\)

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 equal sign and the answer on the other.

6x + 2 = \( \frac{x}{6} \)
6 x (6x + 2) = x
(6 x 6x) + (6 x 2) = x
36x + 12 = x
36x + 12 - x = 0
36x - x = -12
35x = -12
x = \( \frac{-12}{35} \)
x = -\(\frac{12}{35}\)


5

What is 7a3 + 6a3?

75% Answer Correctly
42a6
13a3
1
a36

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.

7a3 + 6a3 = 13a3