ASVAB Math Knowledge Practice Test 28401 Results

Your Results Global Average
Questions 5 5
Correct 0 2.87
Score 0% 57%

Review

1

The dimensions of this cylinder are height (h) = 6 and radius (r) = 2. What is the surface area?

48% Answer Correctly
224π
110π
32π
180π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 6)
sa = 2π(4) + 2π(12)
sa = (2 x 4)π + (2 x 12)π
sa = 8π + 24π
sa = 32π


2

If a = c = 1, b = d = 4, what is the area of this rectangle?

80% Answer Correctly
54
28
4
8

Solution

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

a = l x w
a = a x b
a = 1 x 4
a = 4


3

Solve -9c - 9c = -8c - 9x - 3 for c in terms of x.

34% Answer Correctly
7x - 7
3x + \(\frac{1}{4}\)
x + 3
1\(\frac{1}{4}\)x + \(\frac{7}{8}\)

Solution

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

-9c - 9x = -8c - 9x - 3
-9c = -8c - 9x - 3 + 9x
-9c + 8c = -9x - 3 + 9x
-c = - 3
c = \( \frac{ - 3}{-1} \)
c = \( \frac{}{-1} \) + \( \frac{-3}{-1} \)
c = x + 3


4

On this circle, line segment AB is the:

70% Answer Correctly

chord

radius

circumference

diameter


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).


5

Solve for x:
-7x + 6 > 5 - 8x

55% Answer Correctly
x > \(\frac{3}{4}\)
x > -\(\frac{4}{5}\)
x > -1
x > 1

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.

-7x + 6 > 5 - 8x
-7x > 5 - 8x - 6
-7x + 8x > 5 - 6
x > -1