ASVAB Math Knowledge Practice Test 660035 Results

Your Results Global Average
Questions 5 5
Correct 0 3.29
Score 0% 66%

Review

1

Solve for x:
-3x + 4 = \( \frac{x}{-1} \)

46% Answer Correctly
2
-\(\frac{28}{31}\)
\(\frac{18}{23}\)
\(\frac{5}{46}\)

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.

-3x + 4 = \( \frac{x}{-1} \)
-1 x (-3x + 4) = x
(-1 x -3x) + (-1 x 4) = x
3x - 4 = x
3x - 4 - x = 0
3x - x = 4
2x = 4
x = \( \frac{4}{2} \)
x = 2


2

If angle a = 34° and angle b = 29° what is the length of angle d?

56% Answer Correctly
117°
137°
143°
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° - 34° - 29° = 117°

So, d° = 29° + 117° = 146°

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° - 34° = 146°


3

If angle a = 32° and angle b = 66° what is the length of angle c?

70% Answer Correctly
75°
82°
52°
89°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 32° - 66° = 82°


4

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

lw x wh + lh

2lw x 2wh + 2lh

h2 x l2 x w2

h x l x w


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


5

A coordinate grid is composed of which of the following?

88% Answer Correctly

all of these

origin

y-axis

x-axis


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.