ASVAB Math Knowledge Practice Test 423066 Results

Your Results Global Average
Questions 5 5
Correct 0 3.60
Score 0% 72%

Review

1

Solve for a:
7a + 6 = 1 + 6a

58% Answer Correctly
\(\frac{1}{3}\)
-8
-5
-\(\frac{1}{2}\)

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.

7a + 6 = 1 + 6a
7a = 1 + 6a - 6
7a - 6a = 1 - 6
a = -5


2

What is 7a - 8a?

78% Answer Correctly
-1
-1a
15a2
15

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

7a - 8a = -1a


3

On this circle, line segment AB is the:

70% Answer Correctly

diameter

chord

circumference

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).


4

What is 2a + 8a?

80% Answer Correctly
10
10a
16a2
10a2

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

2a + 8a = 10a


5

This diagram represents two parallel lines with a transversal. If w° = 24, what is the value of c°?

72% Answer Correctly
151
144
24
34

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 w° = 24, the value of c° is 24.