ASVAB Math Knowledge Practice Test 301205 Results

Your Results Global Average
Questions 5 5
Correct 0 2.94
Score 0% 59%

Review

1

Solve for x:
6x - 5 < \( \frac{x}{-7} \)

44% Answer Correctly
x < \(\frac{35}{43}\)
x < -3\(\frac{3}{8}\)
x < -1\(\frac{2}{13}\)
x < 6

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.

6x - 5 < \( \frac{x}{-7} \)
-7 x (6x - 5) < x
(-7 x 6x) + (-7 x -5) < x
-42x + 35 < x
-42x + 35 - x < 0
-42x - x < -35
-43x < -35
x < \( \frac{-35}{-43} \)
x < \(\frac{35}{43}\)


2

On this circle, line segment CD is the:

46% Answer Correctly

chord

circumference

diameter

radius


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

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

54% Answer Correctly

equilateral and right

equilateral and isosceles

equilateral, isosceles 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.


4

What is the area of a circle with a diameter of 4?

70% Answer Correctly
49π
36π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π


5

If a = c = 1, b = d = 2, what is the area of this rectangle?

80% Answer Correctly
9
2
30
63

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 1 x 2
a = 2