ASVAB Math Knowledge Practice Test 649919 Results

Your Results Global Average
Questions 5 5
Correct 0 3.09
Score 0% 62%

Review

1

Solve for b:
-8b + 2 = \( \frac{b}{1} \)

46% Answer Correctly
\(\frac{2}{9}\)
-\(\frac{18}{29}\)
1\(\frac{5}{9}\)
-2\(\frac{2}{5}\)

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.

-8b + 2 = \( \frac{b}{1} \)
1 x (-8b + 2) = b
(1 x -8b) + (1 x 2) = b
-8b + 2 = b
-8b + 2 - b = 0
-8b - b = -2
-9b = -2
b = \( \frac{-2}{-9} \)
b = \(\frac{2}{9}\)


2

If angle a = 24° and angle b = 67° what is the length of angle d?

56% Answer Correctly
147°
122°
156°
124°

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° - 24° - 67° = 89°

So, d° = 67° + 89° = 156°

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° - 24° = 156°


3

If side x = 13cm, side y = 8cm, and side z = 7cm what is the perimeter of this triangle?

84% Answer Correctly
28cm
36cm
43cm
33cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 13cm + 8cm + 7cm = 28cm


4

Which types of triangles will always have at least two sides of equal length?

53% Answer Correctly

equilateral, isosceles and right

equilateral and isosceles

equilateral and right

isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


5

If angle a = 40° and angle b = 27° what is the length of angle c?

71% Answer Correctly
113°
86°
44°
100°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 40° - 27° = 113°