ASVAB Math Knowledge Practice Test 13645 Results

Your Results Global Average
Questions 5 5
Correct 0 3.40
Score 0% 68%

Review

1

Solve for c:
-c - 3 > -2 + 6c

55% Answer Correctly
c > -\(\frac{1}{3}\)
c > -\(\frac{1}{7}\)
c > 1\(\frac{2}{7}\)
c > 1\(\frac{2}{5}\)

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 > sign and the answer on the other.

-c - 3 > -2 + 6c
-c > -2 + 6c + 3
-c - 6c > -2 + 3
-7c > 1
c > \( \frac{1}{-7} \)
c > -\(\frac{1}{7}\)


2

On this circle, line segment CD is the:

46% Answer Correctly

diameter

circumference

radius

chord


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

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

2

4

5

3


Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.


4

If AD = 22 and BD = 15, AB = ?

76% Answer Correctly
11
15
7
18

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 = 22 - 15
AB = 7


5

This diagram represents two parallel lines with a transversal. If z° = 26, what is the value of c°?

73% Answer Correctly
26
157
23
143

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
  • same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with z° = 26, the value of c° is 26.