ASVAB Math Knowledge Practice Test 585226 Results

Your Results Global Average
Questions 5 5
Correct 0 3.20
Score 0% 64%

Review

1

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

70% Answer Correctly

equal length

parallel

equal angle

right angle


Solution

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


2

If angle a = 41° and angle b = 67° what is the length of angle d?

56% Answer Correctly
152°
139°
136°
120°

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° - 41° - 67° = 72°

So, d° = 67° + 72° = 139°

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° - 41° = 139°


3

Which of the following statements about a triangle is not true?

58% Answer Correctly

area = ½bh

perimeter = sum of side lengths

exterior angle = sum of two adjacent interior angles

sum of interior angles = 180°


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


4

A coordinate grid is composed of which of the following?

91% Answer Correctly

all of these

x-axis

origin

y-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.


5

Solve for y:
-2y - 2 > \( \frac{y}{4} \)

44% Answer Correctly
y > -\(\frac{3}{4}\)
y > \(\frac{3}{25}\)
y > -\(\frac{8}{9}\)
y > -8

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.

-2y - 2 > \( \frac{y}{4} \)
4 x (-2y - 2) > y
(4 x -2y) + (4 x -2) > y
-8y - 8 > y
-8y - 8 - y > 0
-8y - y > 8
-9y > 8
y > \( \frac{8}{-9} \)
y > -\(\frac{8}{9}\)