ASVAB Math Knowledge Practice Test 611968 Results

Your Results Global Average
Questions 5 5
Correct 0 3.48
Score 0% 70%

Review

1

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

73% Answer Correctly
26
37
143
159

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 a° = 26, the value of c° is 26.


2

Solve for y:
y - 9 = \( \frac{y}{5} \)

46% Answer Correctly
\(\frac{56}{57}\)
-1\(\frac{1}{11}\)
-9
11\(\frac{1}{4}\)

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.

y - 9 = \( \frac{y}{5} \)
5 x (y - 9) = y
(5 x y) + (5 x -9) = y
5y - 45 = y
5y - 45 - y = 0
5y - y = 45
4y = 45
y = \( \frac{45}{4} \)
y = 11\(\frac{1}{4}\)


3

The dimensions of this cube are height (h) = 1, length (l) = 8, and width (w) = 1. What is the volume?

83% Answer Correctly
42
8
320
216

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 1 x 8 x 1
v = 8


4

What is the area of a circle with a diameter of 6?

70% Answer Correctly
81π
36π

Solution

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

r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π


5

What is 2a4 + 4a4?

75% Answer Correctly
8a4
6a4
a48
8a8

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.

2a4 + 4a4 = 6a4